تكلم مع الذكاء الاصطناعي
Deck 1: Linear Equations and Functions
ملء الشاشة (f)
سؤال
Solve the equation. 
A)
B) 28
C)
D)
E) 7
A)
B) 28
C)
D)
E) 7
سؤال
The equation in this problem leads to a linear equation. Solve for x. Because the solution to the linear equation may not be a solution to the original equation, be sure to check the solution in the original equation. 
A) x =
B) x =
C) x =
D) x =
E) no solution
A) x =
B) x =
C) x =
D) x =
E) no solution
سؤال
Solve 
for 
.
A)
B)
C)
D)
E)
for . A)
B)
C)
D)
E)
سؤال
Solve for y in terms of x. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Use a calculator to solve the equation. Round your answer to three decimal places. 
A) x = 6.17
B) x = 1.033
C) x = 2.17
D) x = 3.668
E) x = 15.533
A) x = 6.17
B) x = 1.033
C) x = 2.17
D) x = 3.668
E) x = 15.533
سؤال
Solve the equation. 
A) 
B)
C) 8
D) 0
E) 2
A)
B)
C) 8
D) 0
E) 2
سؤال
Solve 
for t.
A)
B)
C)
D)
E)
for t. A)
B)
C)
D)
E)
سؤال
Solve the equation. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
The equation in this problem leads to a linear equation. Solve for x. Because the solution to the linear equation may not be a solution to the original equation, be sure to check the solution in the original equation. 
A) x = 2
B) x = -2
C) x = 4
D) x = 6
E) x =
A) x = 2
B) x = -2
C) x = 4
D) x = 6
E) x =
سؤال
Solve the equation. 
A) 9
B) 4
C) 5
D) 1
E) 0
A) 9
B) 4
C) 5
D) 1
E) 0
سؤال
Solve for y in terms of x. 
A)
B)
C)
D) 
E)
A)
B)
C)
D)
E)
سؤال
The equation in this problem leads to a linear equation. Solve for x. Because the solution to the linear equation may not be a solution to the original equation, be sure to check the solution in the original equation. 
A) x =
B) x =
C) x =
D) x = -20
E) no solution
A) x =
B) x =
C) x =
D) x = -20
E) no solution
سؤال
Use a calculator to solve the equation. Round your answer to three decimal places. 
A) x = 1.639
B) x = 0.61
C) x = -0.779
D) x = -1.284
E) x = -1.397
A) x = 1.639
B) x = 0.61
C) x = -0.779
D) x = -1.284
E) x = -1.397
سؤال
Solve the inequality. 
A) x < 18
B) x > 18
C) x > -18
D) x < -18
E) x > 14
A) x < 18
B) x > 18
C) x > -18
D) x < -18
E) x > 14
سؤال
The equation in this problem leads to a linear equation. Solve for x. Because the solution to the linear equation may not be a solution to the original equation, be sure to check the solution in the original equation. 
A) x = 5
B) x = 15
C) x =
D) x =
E) no solution
A) x = 5
B) x = 15
C) x =
D) x =
E) no solution
سؤال
Solve the equation. 
A) x = 66
B) x =
C) x =
D) x =
E) x = 7
A) x = 66
B) x =
C) x =
D) x =
E) x = 7
سؤال
Solve the inequality. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Solve the equation. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Solve the equation. 
A) -3
B) 36
C) -18
D) 18
E) -6
A) -3
B) 36
C) -18
D) 18
E) -6
سؤال
Solve the inequality. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Dish Systems manufactures satellite systems and has its monthly profit P in dollars related to the number of satellite systems x by 
. Find the number of systems that Dish Systems needs to produce and sell in order to break even.
A) 256 systems
B) 1,080 systems
C) 285 systems
D) 68 systems
E) 270 systems
. Find the number of systems that Dish Systems needs to produce and sell in order to break even. A) 256 systems
B) 1,080 systems
C) 285 systems
D) 68 systems
E) 270 systems
سؤال
سؤال
Solve the inequality and choose the graph of the solution. 
A) 
B) 
C) 
D) 
E) 
A)
B)
C)
D)
E)
سؤال
Burnem, Inc. manufactures blank CDs and sells them to a distributor in packs of 500 CDs. Assume Burnem's total cost and total revenue (in dollars) for x packs of 500 CDs are given by
Total cost =
Total revenue = 
How many packs of 500 CDs must Burnem sell to break even?
A) 490 packs
B) 432 packs
C) 500 packs
D) 387 packs
E) 865 packs
Total cost =
Total revenue = How many packs of 500 CDs must Burnem sell to break even?
A) 490 packs
B) 432 packs
C) 500 packs
D) 387 packs
E) 865 packs
سؤال
The combination of cold temperatures and wind speed determine what is called wind chill. The wind chill is a temperature that is the still-air equivalent of the combination of cold and wind. When the wind speed is 25 mph, the wind chill WC depends on the temperature t (in degrees Fahrenheit) according to 
. For what temperatures does it feel at least 30°F colder than the air temperature? That is, find t such that 
. Round your answer to two decimal places.
A)
B)
C)
D)
E)
. For what temperatures does it feel at least 30°F colder than the air temperature? That is, find t such that . Round your answer to two decimal places. A)
B)
C)
D)
E)
سؤال
Solve the inequality and choose the graph of the solution.
A) 
B) 
C) 
D) 
E) 
A)
B)
C)
D)
E)
سؤال
In Sweetwater, Arizona, water bills are taxed on the basis of the amount of the monthly bill in order to encourage conservation. If the bill is more than $0 but less than $40, the tax is 3% of the bill; if the bill is $40 or more but less than $60, the tax is 5% of the bill; and if the bill is $60 or more, the tax is 7% of the bill. Choose the inequalities that represent the amounts of tax owed in these three cases, where T is the tax to be paid and B is the monthly bill.
A) If
, then 
If
, then 
If
, then 
B) If
, then 
If
, then 
If
, then 
C) If
, then 
If
, then 
If
, then 
D) If
, then 
If
, then 
If
, then 
E) If
, then 
If
, then 
If
, then 
A) If
, then If
, then If
, then B) If
, then If
, then If
, then
C) If
, then If
, then If
, then
D) If
, then If
, then If
, then
E) If
, then If
, then If
, then
سؤال
When a $837,000 building is depreciated for tax purposes (by the straight-line method), its value y after x months of use is given by 
. How many months will it be before the building is fully depreciated (that is, its value is $0)?
A) 37 months
B) 372 months
C) 4 months
D) 27 months
E) 270 months
. How many months will it be before the building is fully depreciated (that is, its value is $0)? A) 37 months
B) 372 months
C) 4 months
D) 27 months
E) 270 months
سؤال
Solve the inequality.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
سؤال
سؤال
A $670,000 property is depreciated for tax purposes by its owner with the straight-line depreciation method. The value of the building y, after x months of use is given by 
dollars. After how many months will the value of the building be $339,000? Round your answer to the nearest whole number of months.
A) 561 months
B) 372 months
C) 184 months
D) 188 months
E) 377 months
dollars. After how many months will the value of the building be $339,000? Round your answer to the nearest whole number of months. A) 561 months
B) 372 months
C) 184 months
D) 188 months
E) 377 months
سؤال
For a certain product, the revenue function is 
and the cost function is 
. To obtain a profit, the revenue must be greater than the cost. Find the graph of x which shows when there is a profit.
A) 
B) 
C) 
D) 
E) 
and the cost function is . To obtain a profit, the revenue must be greater than the cost. Find the graph of x which shows when there is a profit. A)
B)
C)
D)
E)
سؤال
Thrifty rents a compact car for $33 per day, and Budget rents a similar car for $21 per day plus an initial fee of $96. Which of the following graphs depicts the number of days for which it would be cheaper to rent from Budget?
A) 
B) 
C) 
D) 
E) 
A)
B)
C)
D)
E)
سؤال
Solve the inequality and choose the graph of the solution. 
A) 
B) 
C) 
D) 
E) 
A)
B)
C)
D)
E)
سؤال
In wildlife management, the capture-mark-recapture technique is used to estimate the populations of fish or birds in an area or to measure the infestation of insects such as Japanese beetles. Suppose 100 individuals of the species being studied are caught, marked, and released, and one week later 100 more are caught. To estimate the total number of individuals, the following relationship is used: 
Suppose that 1000 beetles are captured, marked, and released. Suppose further that in the second capture of 1000 it is found that 61 are marked. What is the population estimate?
A) 61,000
B) 269
C) 61
D) 16,393
E) 3,721
Suppose that 1000 beetles are captured, marked, and released. Suppose further that in the second capture of 1000 it is found that 61 are marked. What is the population estimate?
A) 61,000
B) 269
C) 61
D) 16,393
E) 3,721
سؤال
Solve the inequality. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
In seawater, the pressure p is related to the depth d according to 
, where d is in feet and p is in pounds per square inch. The Titanic was discovered at a depth of 12,460 ft. Find the pressure at this depth. Round your answer to the nearest whole number.
A) 6,781 lb/sq in
B) 22,871 lb/sq in
C) 22,816 lb/sq in
D) 6,811 lb/sq in
E) 6796 lb/sq in
, where d is in feet and p is in pounds per square inch. The Titanic was discovered at a depth of 12,460 ft. Find the pressure at this depth. Round your answer to the nearest whole number. A) 6,781 lb/sq in
B) 22,871 lb/sq in
C) 22,816 lb/sq in
D) 6,811 lb/sq in
E) 6796 lb/sq in
سؤال
سؤال
The percent p of high school seniors who smoke cigarettes can be modeled by the equation 
, where t is the number of years past 1975. Find the year in which p first becomes negative. Round your answer to the nearest year.
A) 2576
B) 2075
C) 2005
D) 4941
E) 2074
, where t is the number of years past 1975. Find the year in which p first becomes negative. Round your answer to the nearest year. A) 2576
B) 2075
C) 2005
D) 4941
E) 2074
سؤال
Let 
. Find 
.
A)
B) 
C) 
D)
E)
. Find . A)
B)
C)
D)
E)
سؤال
Let 
and 
. Does 
?
and . Does ?
سؤال
If 
, find 
.
A) 39
B) -15
C) 45
D) -3
E) -21
, find . A) 39
B) -15
C) 45
D) -3
E) -21
سؤال
If 
, is y a function of x?
, is y a function of x?
سؤال
Which of the graphs below represent y as a function of x?
(a)
(b)
A) both (a) and (b)
B) neither (a) nor (b)
C) only (b)
D) only (a)
(a)
(b)
A) both (a) and (b)
B) neither (a) nor (b)
C) only (b)
D) only (a)
سؤال
If 
, find 
.
A) 3
B) 15
C) 27
D) -3
E) 45
, find . A) 3
B) 15
C) 27
D) -3
E) 45
سؤال
The relation defined by the table is a function. Choose the correct domain and range.
A)
B) 
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Let 
and 
. Find 
and simplify.
A)
B)
C) 
D)
E) 
and . Find and simplify. A)
B)
C)
D)
E)
سؤال
Let 
and 
. Does 
for all values of x and h?
and . Does for all values of x and h?
سؤال
Use the values in the following table.
If the function defined by the table is denoted by f, so that
is 
an input or an output of 
?
A) 
is an input of 11eca9ac_e341_775e_b76e_1d50da108f2b_TB4005_11
B) 
is an output of 11eca9ac_e341_775e_b76e_1d50da108f2b_TB4005_11
If the function defined by the table is denoted by f, so that
is an input or an output of ?
A)
is an input of 11eca9ac_e341_775e_b76e_1d50da108f2b_TB4005_11B)
is an output of 11eca9ac_e341_775e_b76e_1d50da108f2b_TB4005_11 سؤال
Let 
. Is 
?
. Is ?
سؤال
If 
and 
, find 
and simplify.
A)
B)
C)
D)
E)
and , find and simplify. A)
B)
C)
D)
E)
سؤال
If 
, is y a function of x?
, is y a function of x? سؤال
Is the relation defined by the table a function of x?
سؤال
If 
is y a function of x?
is y a function of x? سؤال
Which of the graphs below represent y as a function of x?
(a)
(b)
A) only (a)
B) only (b)
C) neither (a) nor (b)
D) both (a) and (b)
(a)
(b)
A) only (a)
B) only (b)
C) neither (a) nor (b)
D) both (a) and (b)
سؤال
Is the relation defined by the table a function of x?
سؤال
Determine whether the values in the table describe x as a function of y.
سؤال
If 
, find 
.
A)
B)
C)
D)
E) 
, find . A)
B)
C)
D)
E)
سؤال
If 
, find 
.
A) -2
B) 0
C) -2000
D) -200
E) 100
, find . A) -2
B) 0
C) -2000
D) -200
E) 100
سؤال
Find the domain and range of the function below. 
A) domain: real numbers
Range: real numbers
B) domain: real numbers
Range: real numbers
C) domain: all reals
Range: real numbers
D) domain: real numbers
Range: real numbers
E) domain: all reals
Range: real numbers
A) domain: real numbers
Range: real numbers
B) domain: real numbers
Range: real numbers
C) domain: all reals
Range: real numbers
D) domain: real numbers
Range: real numbers
E) domain: all reals
Range: real numbers
سؤال
Find the domain and range of the function below. 
A) domain: all reals
Range: real numbers
B) domain: all reals
Range: real numbers
C) domain: real numbers
Range: all reals
D) domain: real numbers
Range: all reals
E) domain: all reals
Range: real numbers
A) domain: all reals
Range: real numbers
B) domain: all reals
Range: real numbers
C) domain: real numbers
Range: all reals
D) domain: real numbers
Range: all reals
E) domain: all reals
Range: real numbers
سؤال
The graph of 
is shown in the figure below. 
If the point P (with coordinates (a, b)) is on the graph, how are a and b related?
A) 
B)
C)
D)
E) There is no relation.
is shown in the figure below. If the point P (with coordinates (a, b)) is on the graph, how are a and b related?
A)
B)
C)
D)
E) There is no relation.
سؤال
For 
and 
, find 
.
A)
B)
C)
D)
E)
and , find . A)
B)
C)
D)
E)
سؤال
For 
and 
, find 
.
A)
B)
C)
D)
E)
and , find . A)
B)
C)
D)
E)
سؤال
For 
and 
, find 
.
A)
B)
C)
D)
E)
and , find . A)
B)
C)
D)
E)
سؤال
For 
and 
, find 
.
A)
B)
C)
D)
E)
and , find . A)
B)
C)
D)
E)
سؤال
If 
and 
, find 
and simplify.
A) 
B)
C)
D) 
E)
and , find and simplify. A)
B)
C)
D)
E)
سؤال
A function and its graph are given. Find the domain. 
A) domain: all real numbers
B) domain: all real numbers
C) domain: all real numbers
D) domain: all real numbers
E) domain: all real numbers
A) domain: all real numbers
B) domain: all real numbers
C) domain: all real numbers
D) domain: all real numbers
E) domain: all real numbers
سؤال
For 
and 
, find 
.
A)
B) 
C)
D)
E)
and , find . A)
B)
C)
D)
E)
سؤال
When a debt is refinanced, sometimes the term of the loan (that is, the time it takes to repay the debt) is shortened. Suppose the current interest rate is 7%, and the current debt is $100,000. The monthly payment R of the refinanced debt is a function of the term of the loan t in years. If we represent this function by 
, then the following table defines the function.
Source: Comprehensive Mortgage Payment Tables, Publication No. 492, Financial Publishing Co., Boston
Choose the correct verbal description of
.
A) From the table,
the value of 
is the yearly payment to repay a $100,000 loan in 12 years when the interest rate is 7%.
B) From the table,
the value of 
is the monthly payment to repay half of a $100,000 loan in 12 years when the interest rate is 7%.
C) From the table,
the value of 
is the weekly payment to repay a $100,000 loan in 12 years when the interest rate is 7%.
D) From the table,
the value of 
is the monthly payment to repay a $100,000 loan in 12 years when the interest rate is 7%.
E) From the table,
the value of 
is the monthly payment to repay a $100,000 loan in 12 years when the interest rate is 7%.
, then the following table defines the function.
Source: Comprehensive Mortgage Payment Tables, Publication No. 492, Financial Publishing Co., Boston
Choose the correct verbal description of
.
A) From the table,
the value of is the yearly payment to repay a $100,000 loan in 12 years when the interest rate is 7%.B) From the table,
the value of is the monthly payment to repay half of a $100,000 loan in 12 years when the interest rate is 7%.C) From the table,
the value of is the weekly payment to repay a $100,000 loan in 12 years when the interest rate is 7%.D) From the table,
the value of is the monthly payment to repay a $100,000 loan in 12 years when the interest rate is 7%.E) From the table,
the value of is the monthly payment to repay a $100,000 loan in 12 years when the interest rate is 7%. سؤال
A function and its graph are given. Find the domain. 
A) domain:
B) domain:
C) domain:
D) domain:
E) domain:
A) domain:
B) domain:
C) domain:
D) domain:
E) domain:
سؤال
A couple seeking to buy a home decides that a monthly payment of $800 fits their budget. Their bank's interest rate is 7.5%. The amount they can borrow A is a function of the time t in years that it will take to repay the debt. If we denote this function by 
, then the following table defines the function.
Source: Comprehensive Mortgage Payment Tables, Publication No. 492, Financial Publishing Co., Boston
Choose the expression in the form
which describes how long they will have to make payments if they need to borrow $103,000.
A)
B)
C) 
D)
E) 
, then the following table defines the function. Source: Comprehensive Mortgage Payment Tables, Publication No. 492, Financial Publishing Co., Boston
Choose the expression in the form
which describes how long they will have to make payments if they need to borrow $103,000.
A)
B)
C)
D)
E)
سؤال
If t represents the number of hours after 9:30 A.M. on Tuesday, October 5, 2004, then the graph defines the Dow Jones Industrial Average D as a function of time t. If we represent this function by 
use the graph to find f(6.5). 
A) 10,160
B) 10,175
C) 10,190
D) 10,217
E) 10,220
use the graph to find f(6.5). A) 10,160
B) 10,175
C) 10,190
D) 10,217
E) 10,220
سؤال
Suppose 
in the figure below. Find 
.
A) 1.44225
B) 1
C) -1.414214
D) 0
E) 1.414214
in the figure below. Find .
A) 1.44225
B) 1
C) -1.414214
D) 0
E) 1.414214
سؤال
For 
and 
, find 
.
A)
B)
C)
D)
E)
and , find . A)
B)
C)
D)
E)
سؤال
For 
, find 
.
A) 1
B) 
C)
D) 
E) x
, find . A) 1
B)
C)
D)
E) x
سؤال
Suppose 
in the figure below. How many values of x satisfy 
? 
A) 2
B) 1
C) 3
D) 5
E) 4
in the figure below. How many values of x satisfy ? A) 2
B) 1
C) 3
D) 5
E) 4
سؤال
State the domain and range of the function below. 
A) domain: real numbers
Range: real numbers
B) domain: all reals
Range: real numbers
C) domain: real numbers
Range: all reals
D) domain: all reals
Range: real numbers
E) domain: real numbers
Range: real numbers
A) domain: real numbers
Range: real numbers
B) domain: all reals
Range: real numbers
C) domain: real numbers
Range: all reals
D) domain: all reals
Range: real numbers
E) domain: real numbers
Range: real numbers
سؤال
The graph of 
is shown in the figure below.
Does the point (2,2) lie on the graph? In other words, do the coordinates satisfy the equation?
is shown in the figure below.
Does the point (2,2) lie on the graph? In other words, do the coordinates satisfy the equation?
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العب
ملء الشاشة (f)
Deck 1: Linear Equations and Functions
1
Solve the equation.
A)
B) 28
C)
D)
E) 7
A)
B) 28
C)
D)
E) 7
2
The equation in this problem leads to a linear equation. Solve for x. Because the solution to the linear equation may not be a solution to the original equation, be sure to check the solution in the original equation.
A) x =
B) x =
C) x =
D) x =
E) no solution
A) x =
B) x =
C) x =
D) x =
E) no solution
x =
3
Solve for .
A)
B)
C)
D)
E)
for . A)
B)
C)
D)
E)
4
Solve for y in terms of x.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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5
Use a calculator to solve the equation. Round your answer to three decimal places.
A) x = 6.17
B) x = 1.033
C) x = 2.17
D) x = 3.668
E) x = 15.533
A) x = 6.17
B) x = 1.033
C) x = 2.17
D) x = 3.668
E) x = 15.533
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6
Solve the equation.
A)
B)
C) 8
D) 0
E) 2
A)
B)
C) 8
D) 0
E) 2
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7
Solve for t.
A)
B)
C)
D)
E)
for t. A)
B)
C)
D)
E)
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8
Solve the equation.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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9
The equation in this problem leads to a linear equation. Solve for x. Because the solution to the linear equation may not be a solution to the original equation, be sure to check the solution in the original equation.
A) x = 2
B) x = -2
C) x = 4
D) x = 6
E) x =
A) x = 2
B) x = -2
C) x = 4
D) x = 6
E) x =
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10
Solve the equation.
A) 9
B) 4
C) 5
D) 1
E) 0
A) 9
B) 4
C) 5
D) 1
E) 0
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11
Solve for y in terms of x.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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12
The equation in this problem leads to a linear equation. Solve for x. Because the solution to the linear equation may not be a solution to the original equation, be sure to check the solution in the original equation.
A) x =
B) x =
C) x =
D) x = -20
E) no solution
A) x =
B) x =
C) x =
D) x = -20
E) no solution
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13
Use a calculator to solve the equation. Round your answer to three decimal places.
A) x = 1.639
B) x = 0.61
C) x = -0.779
D) x = -1.284
E) x = -1.397
A) x = 1.639
B) x = 0.61
C) x = -0.779
D) x = -1.284
E) x = -1.397
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14
Solve the inequality.
A) x < 18
B) x > 18
C) x > -18
D) x < -18
E) x > 14
A) x < 18
B) x > 18
C) x > -18
D) x < -18
E) x > 14
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15
The equation in this problem leads to a linear equation. Solve for x. Because the solution to the linear equation may not be a solution to the original equation, be sure to check the solution in the original equation.
A) x = 5
B) x = 15
C) x =
D) x =
E) no solution
A) x = 5
B) x = 15
C) x =
D) x =
E) no solution
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16
Solve the equation.
A) x = 66
B) x =
C) x =
D) x =
E) x = 7
A) x = 66
B) x =
C) x =
D) x =
E) x = 7
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17
Solve the inequality.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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18
Solve the equation.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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19
Solve the equation.
A) -3
B) 36
C) -18
D) 18
E) -6
A) -3
B) 36
C) -18
D) 18
E) -6
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20
Solve the inequality.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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21
Dish Systems manufactures satellite systems and has its monthly profit P in dollars related to the number of satellite systems x by . Find the number of systems that Dish Systems needs to produce and sell in order to break even.
A) 256 systems
B) 1,080 systems
C) 285 systems
D) 68 systems
E) 270 systems
. Find the number of systems that Dish Systems needs to produce and sell in order to break even. A) 256 systems
B) 1,080 systems
C) 285 systems
D) 68 systems
E) 270 systems
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22
A retired woman has $130,000 to invest. She has chosen one relatively safe investment fund that has an annual yield of 9% and another, riskier one that has an annual yield of 13%. How much should she invest in the fund yielding 9% if she would like to earn $14,000 per year from her investments?
A) $11,700
B) $16,900
C) $57,500
D) $72,500
E) $113,100
A) $11,700
B) $16,900
C) $57,500
D) $72,500
E) $113,100
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23
Solve the inequality and choose the graph of the solution.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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24
Burnem, Inc. manufactures blank CDs and sells them to a distributor in packs of 500 CDs. Assume Burnem's total cost and total revenue (in dollars) for x packs of 500 CDs are given by
Total cost = Total revenue =
How many packs of 500 CDs must Burnem sell to break even?
A) 490 packs
B) 432 packs
C) 500 packs
D) 387 packs
E) 865 packs
Total cost =
Total revenue = How many packs of 500 CDs must Burnem sell to break even?
A) 490 packs
B) 432 packs
C) 500 packs
D) 387 packs
E) 865 packs
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25
The combination of cold temperatures and wind speed determine what is called wind chill. The wind chill is a temperature that is the still-air equivalent of the combination of cold and wind. When the wind speed is 25 mph, the wind chill WC depends on the temperature t (in degrees Fahrenheit) according to . For what temperatures does it feel at least 30°F colder than the air temperature? That is, find t such that . Round your answer to two decimal places.
A)
B)
C)
D)
E)
. For what temperatures does it feel at least 30°F colder than the air temperature? That is, find t such that . Round your answer to two decimal places. A)
B)
C)
D)
E)
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26
Solve the inequality and choose the graph of the solution.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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27
In Sweetwater, Arizona, water bills are taxed on the basis of the amount of the monthly bill in order to encourage conservation. If the bill is more than $0 but less than $40, the tax is 3% of the bill; if the bill is $40 or more but less than $60, the tax is 5% of the bill; and if the bill is $60 or more, the tax is 7% of the bill. Choose the inequalities that represent the amounts of tax owed in these three cases, where T is the tax to be paid and B is the monthly bill.
A) If , then
If , then
If , then
B) If , then
If , then
If , then
C) If , then
If , then
If , then
D) If , then
If , then
If , then
E) If , then
If , then
If , then
A) If
, then If
, then If
, then B) If
, then If
, then If
, then
C) If
, then If
, then If
, then
D) If
, then If
, then If
, then
E) If
, then If
, then If
, then
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28
When a $837,000 building is depreciated for tax purposes (by the straight-line method), its value y after x months of use is given by . How many months will it be before the building is fully depreciated (that is, its value is $0)?
A) 37 months
B) 372 months
C) 4 months
D) 27 months
E) 270 months
. How many months will it be before the building is fully depreciated (that is, its value is $0)? A) 37 months
B) 372 months
C) 4 months
D) 27 months
E) 270 months
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29
Solve the inequality.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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30
One safe investment pays 10% per year, and a more risky investment pays 18% per year. A woman who has $145,400 to invest would like to have an income of $20,000 per year from her investments. How much should she invest at in the 18% rate fund?
A) $77,150
B) $68,250
C) $104,600
D) $83,680
E) $54,600
A) $77,150
B) $68,250
C) $104,600
D) $83,680
E) $54,600
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31
Suppose a professor counts the final exam as being equal to each of the other tests in her course, and she will also change the lowest test score to match the final exam score if the final exam score is higher. If a student's four test scores are 85, 83, 54, and 95, what is the lowest score the student can earn on the final exam and still obtain at least an 80 average for the course?
A) 69
B) 83
C) 90
D) 72
E) 84
A) 69
B) 83
C) 90
D) 72
E) 84
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32
A $670,000 property is depreciated for tax purposes by its owner with the straight-line depreciation method. The value of the building y, after x months of use is given by dollars. After how many months will the value of the building be $339,000? Round your answer to the nearest whole number of months.
A) 561 months
B) 372 months
C) 184 months
D) 188 months
E) 377 months
dollars. After how many months will the value of the building be $339,000? Round your answer to the nearest whole number of months. A) 561 months
B) 372 months
C) 184 months
D) 188 months
E) 377 months
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33
For a certain product, the revenue function is and the cost function is . To obtain a profit, the revenue must be greater than the cost. Find the graph of x which shows when there is a profit.
A)
B)
C)
D)
E)
and the cost function is . To obtain a profit, the revenue must be greater than the cost. Find the graph of x which shows when there is a profit. A)
B)
C)
D)
E)
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34
Thrifty rents a compact car for $33 per day, and Budget rents a similar car for $21 per day plus an initial fee of $96. Which of the following graphs depicts the number of days for which it would be cheaper to rent from Budget?
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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35
Solve the inequality and choose the graph of the solution.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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36
In wildlife management, the capture-mark-recapture technique is used to estimate the populations of fish or birds in an area or to measure the infestation of insects such as Japanese beetles. Suppose 100 individuals of the species being studied are caught, marked, and released, and one week later 100 more are caught. To estimate the total number of individuals, the following relationship is used:
Suppose that 1000 beetles are captured, marked, and released. Suppose further that in the second capture of 1000 it is found that 61 are marked. What is the population estimate?
A) 61,000
B) 269
C) 61
D) 16,393
E) 3,721
Suppose that 1000 beetles are captured, marked, and released. Suppose further that in the second capture of 1000 it is found that 61 are marked. What is the population estimate?
A) 61,000
B) 269
C) 61
D) 16,393
E) 3,721
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37
Solve the inequality.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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38
In seawater, the pressure p is related to the depth d according to , where d is in feet and p is in pounds per square inch. The Titanic was discovered at a depth of 12,460 ft. Find the pressure at this depth. Round your answer to the nearest whole number.
A) 6,781 lb/sq in
B) 22,871 lb/sq in
C) 22,816 lb/sq in
D) 6,811 lb/sq in
E) 6796 lb/sq in
, where d is in feet and p is in pounds per square inch. The Titanic was discovered at a depth of 12,460 ft. Find the pressure at this depth. Round your answer to the nearest whole number. A) 6,781 lb/sq in
B) 22,871 lb/sq in
C) 22,816 lb/sq in
D) 6,811 lb/sq in
E) 6796 lb/sq in
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39
The total price of a new car (including 5% sales tax) is $28,068. How much of this is tax? Round your answer to the nearest cent.
A) $1,333.23
B) $7,484,219.93
C) $2,806.80
D) $2,666.46
E) $1,336.57
A) $1,333.23
B) $7,484,219.93
C) $2,806.80
D) $2,666.46
E) $1,336.57
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40
The percent p of high school seniors who smoke cigarettes can be modeled by the equation , where t is the number of years past 1975. Find the year in which p first becomes negative. Round your answer to the nearest year.
A) 2576
B) 2075
C) 2005
D) 4941
E) 2074
, where t is the number of years past 1975. Find the year in which p first becomes negative. Round your answer to the nearest year. A) 2576
B) 2075
C) 2005
D) 4941
E) 2074
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41
Let . Find .
A)
B)
C)
D)
E)
. Find . A)
B)
C)
D)
E)
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42
Let and . Does ?
and . Does ?
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43
If , find .
A) 39
B) -15
C) 45
D) -3
E) -21
, find . A) 39
B) -15
C) 45
D) -3
E) -21
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44
If , is y a function of x?
, is y a function of x?
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45
Which of the graphs below represent y as a function of x?
(a)
(b)
A) both (a) and (b)
B) neither (a) nor (b)
C) only (b)
D) only (a)
(a)
(b)
A) both (a) and (b)
B) neither (a) nor (b)
C) only (b)
D) only (a)
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46
If , find .
A) 3
B) 15
C) 27
D) -3
E) 45
, find . A) 3
B) 15
C) 27
D) -3
E) 45
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47
The relation defined by the table is a function. Choose the correct domain and range.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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48
Let and . Find and simplify.
A)
B)
C)
D)
E)
and . Find and simplify. A)
B)
C)
D)
E)
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49
Let and . Does for all values of x and h?
and . Does for all values of x and h?
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50
Use the values in the following table.
If the function defined by the table is denoted by f, so that is an input or an output of ?
A) is an input of 11eca9ac_e341_775e_b76e_1d50da108f2b_TB4005_11
B) is an output of 11eca9ac_e341_775e_b76e_1d50da108f2b_TB4005_11
If the function defined by the table is denoted by f, so that
is an input or an output of ?
A)
is an input of 11eca9ac_e341_775e_b76e_1d50da108f2b_TB4005_11B)
is an output of 11eca9ac_e341_775e_b76e_1d50da108f2b_TB4005_11 فتح الحزمة
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51
Let . Is ?
. Is ?
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52
If and , find and simplify.
A)
B)
C)
D)
E)
and , find and simplify. A)
B)
C)
D)
E)
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53
If , is y a function of x?
, is y a function of x? فتح الحزمة
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54
Is the relation defined by the table a function of x?
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55
If is y a function of x?
is y a function of x? فتح الحزمة
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56
Which of the graphs below represent y as a function of x?
(a)
(b)
A) only (a)
B) only (b)
C) neither (a) nor (b)
D) both (a) and (b)
(a)
(b)
A) only (a)
B) only (b)
C) neither (a) nor (b)
D) both (a) and (b)
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57
Is the relation defined by the table a function of x?
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58
Determine whether the values in the table describe x as a function of y.
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59
If , find .
A)
B)
C)
D)
E)
, find . A)
B)
C)
D)
E)
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60
If , find .
A) -2
B) 0
C) -2000
D) -200
E) 100
, find . A) -2
B) 0
C) -2000
D) -200
E) 100
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61
Find the domain and range of the function below.
A) domain: real numbers
Range: real numbers
B) domain: real numbers
Range: real numbers
C) domain: all reals
Range: real numbers
D) domain: real numbers
Range: real numbers
E) domain: all reals
Range: real numbers
A) domain: real numbers
Range: real numbers
B) domain: real numbers
Range: real numbers
C) domain: all reals
Range: real numbers
D) domain: real numbers
Range: real numbers
E) domain: all reals
Range: real numbers
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62
Find the domain and range of the function below.
A) domain: all reals
Range: real numbers
B) domain: all reals
Range: real numbers
C) domain: real numbers
Range: all reals
D) domain: real numbers
Range: all reals
E) domain: all reals
Range: real numbers
A) domain: all reals
Range: real numbers
B) domain: all reals
Range: real numbers
C) domain: real numbers
Range: all reals
D) domain: real numbers
Range: all reals
E) domain: all reals
Range: real numbers
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63
The graph of is shown in the figure below.
If the point P (with coordinates (a, b)) is on the graph, how are a and b related?
A)
B)
C)
D)
E) There is no relation.
is shown in the figure below. If the point P (with coordinates (a, b)) is on the graph, how are a and b related?
A)
B)
C)
D)
E) There is no relation.
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64
For and , find .
A)
B)
C)
D)
E)
and , find . A)
B)
C)
D)
E)
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65
For and , find .
A)
B)
C)
D)
E)
and , find . A)
B)
C)
D)
E)
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66
For and , find .
A)
B)
C)
D)
E)
and , find . A)
B)
C)
D)
E)
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67
For and , find .
A)
B)
C)
D)
E)
and , find . A)
B)
C)
D)
E)
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68
If and , find and simplify.
A)
B)
C)
D)
E)
and , find and simplify. A)
B)
C)
D)
E)
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69
A function and its graph are given. Find the domain.
A) domain: all real numbers
B) domain: all real numbers
C) domain: all real numbers
D) domain: all real numbers
E) domain: all real numbers
A) domain: all real numbers
B) domain: all real numbers
C) domain: all real numbers
D) domain: all real numbers
E) domain: all real numbers
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70
For and , find .
A)
B)
C)
D)
E)
and , find . A)
B)
C)
D)
E)
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71
When a debt is refinanced, sometimes the term of the loan (that is, the time it takes to repay the debt) is shortened. Suppose the current interest rate is 7%, and the current debt is $100,000. The monthly payment R of the refinanced debt is a function of the term of the loan t in years. If we represent this function by , then the following table defines the function.
Source: Comprehensive Mortgage Payment Tables, Publication No. 492, Financial Publishing Co., Boston
Choose the correct verbal description of .
A) From the table, the value of is the yearly payment to repay a $100,000 loan in 12 years when the interest rate is 7%.
B) From the table, the value of is the monthly payment to repay half of a $100,000 loan in 12 years when the interest rate is 7%.
C) From the table, the value of is the weekly payment to repay a $100,000 loan in 12 years when the interest rate is 7%.
D) From the table, the value of is the monthly payment to repay a $100,000 loan in 12 years when the interest rate is 7%.
E) From the table, the value of is the monthly payment to repay a $100,000 loan in 12 years when the interest rate is 7%.
, then the following table defines the function.
Source: Comprehensive Mortgage Payment Tables, Publication No. 492, Financial Publishing Co., Boston
Choose the correct verbal description of
.
A) From the table,
the value of is the yearly payment to repay a $100,000 loan in 12 years when the interest rate is 7%.B) From the table,
the value of is the monthly payment to repay half of a $100,000 loan in 12 years when the interest rate is 7%.C) From the table,
the value of is the weekly payment to repay a $100,000 loan in 12 years when the interest rate is 7%.D) From the table,
the value of is the monthly payment to repay a $100,000 loan in 12 years when the interest rate is 7%.E) From the table,
the value of is the monthly payment to repay a $100,000 loan in 12 years when the interest rate is 7%. فتح الحزمة
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72
A function and its graph are given. Find the domain.
A) domain:
B) domain:
C) domain:
D) domain:
E) domain:
A) domain:
B) domain:
C) domain:
D) domain:
E) domain:
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73
A couple seeking to buy a home decides that a monthly payment of $800 fits their budget. Their bank's interest rate is 7.5%. The amount they can borrow A is a function of the time t in years that it will take to repay the debt. If we denote this function by , then the following table defines the function.
Source: Comprehensive Mortgage Payment Tables, Publication No. 492, Financial Publishing Co., Boston
Choose the expression in the form which describes how long they will have to make payments if they need to borrow $103,000.
A)
B)
C)
D)
E)
, then the following table defines the function. Source: Comprehensive Mortgage Payment Tables, Publication No. 492, Financial Publishing Co., Boston
Choose the expression in the form
which describes how long they will have to make payments if they need to borrow $103,000.
A)
B)
C)
D)
E)
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74
If t represents the number of hours after 9:30 A.M. on Tuesday, October 5, 2004, then the graph defines the Dow Jones Industrial Average D as a function of time t. If we represent this function by use the graph to find f(6.5).
A) 10,160
B) 10,175
C) 10,190
D) 10,217
E) 10,220
use the graph to find f(6.5). A) 10,160
B) 10,175
C) 10,190
D) 10,217
E) 10,220
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75
Suppose in the figure below. Find .
A) 1.44225
B) 1
C) -1.414214
D) 0
E) 1.414214
in the figure below. Find .
A) 1.44225
B) 1
C) -1.414214
D) 0
E) 1.414214
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76
For and , find .
A)
B)
C)
D)
E)
and , find . A)
B)
C)
D)
E)
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77
For , find .
A) 1
B)
C)
D)
E) x
, find . A) 1
B)
C)
D)
E) x
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78
Suppose in the figure below. How many values of x satisfy ?
A) 2
B) 1
C) 3
D) 5
E) 4
in the figure below. How many values of x satisfy ? A) 2
B) 1
C) 3
D) 5
E) 4
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79
State the domain and range of the function below.
A) domain: real numbers
Range: real numbers
B) domain: all reals
Range: real numbers
C) domain: real numbers
Range: all reals
D) domain: all reals
Range: real numbers
E) domain: real numbers
Range: real numbers
A) domain: real numbers
Range: real numbers
B) domain: all reals
Range: real numbers
C) domain: real numbers
Range: all reals
D) domain: all reals
Range: real numbers
E) domain: real numbers
Range: real numbers
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80
The graph of is shown in the figure below.
Does the point (2,2) lie on the graph? In other words, do the coordinates satisfy the equation?
is shown in the figure below.
Does the point (2,2) lie on the graph? In other words, do the coordinates satisfy the equation?
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