Question 1

Choose the one alternative that best completes the statement or answers the question Solve the equation.
- ( 4x - 10) =  ( 25x - 10)

Accepted Answer

The answer of Choose the one alternative that best completes...

Question 2

Choose the one alternative that best completes the statement or answers the question Solve the equation.
--( 3y + 7) - ( -2y + 1) = -3

Accepted Answer

Simplifying the equation: -3y - 7 + 2y - 1 = -3 leads to -y - 8 = -3, which simplifies to -y = 5, and solving for y gives y = -5.

Question 3

Choose the one alternative that best completes the statement or answers the question Solve the equation.
-0.31(x + 20) + 0.42(x + 85) = -34.75

Accepted Answer

First, distribute the constants: 0.31x + 6.2 + 0.42x + 35.7 = -34.75. Combine like terms: 0.73x + 41.9 = -34.75. Subtract 41.9 from both sides: 0.73x = -76.65. Divide by 0.73: x = -105.

Question 4

Write the answer to the problem as an algebraic expression.
-Two numbers have a sum of 52. One of the numbers is s. Find the other number.

Accepted Answer

The other number is found by subtracting s from the total sum, which is 52 - s.

Question 5

Write the answer to the problem as an algebraic expression.
-The product of two numbers is 10. One of the numbers is t. Find the other number.

Accepted Answer

The answer of Write the answer to the problem as...

Question 6

Write the answer to the problem as an algebraic expression.
-Today the Center City baseball team scored 11 runs. The day before yesterday they scored y. How many runs did they score in these two days?

Accepted Answer

The total runs scored over the two days is the sum of the runs scored today (11 runs) and the runs scored the day before yesterday (y runs), which is expressed as 11 + y runs.

Question 7

Write the answer to the problem as an algebraic expression.
-Susan has 10 cats. She gave p to her lonely aunt. How many does she have left?

Accepted Answer

Susan starts with 10 cats and gives away p cats, so the expression for the number of cats she has left is 10 minus p, which is represented by 10 - p.

Question 8

Write the answer to the problem as an algebraic expression.
-Bill is q years old. How old will he be in 4 years? How old was he 5 years ago?

Accepted Answer

In 4 years, Bill will be q + 4 years old. 5 years ago, he was q - 5 years old.

Question 9

Write the answer to the problem as an algebraic expression.
-Elizabeth earned 15 dollars a day at her job. Assuming a 5-day work week, how much did she earn in x weeks?

Accepted Answer

Elizabeth earns $15 a day for a 5-day work week, so in one week she earns 15 * 5 = 75 dollars. For x weeks, she would earn 75 * x dollars.

Question 10

Write the answer to the problem as an algebraic expression.
-A water tank holds G gallons. Since there are 4 quarts per gallon, how many quarts does the tank hold?

Accepted Answer

The answer of Write the answer to the problem as...

Question 11

Write the answer to the problem as an algebraic expression.
-A theater ticket for adults is A dollars and the price of a child's ticket is c dollars. If 14 adults and 21 children attend the theater one night, how much money did the theater make?

Accepted Answer

The total money made is the sum of the money from adult tickets and child tickets. For adults, it's 14 times the price of an adult ticket (14A), and for children, it's 21 times the price of a child ticket (21c). Therefore, the expression is 14A + 21c.

Question 12

Provide an appropriate response.
-Write the steps you would use to solve this equation: 7(x - 1) + 4x = -5x.

Accepted Answer

The answer of Provide an appropriate response.
-Write the steps you...

Question 13

Provide an appropriate response.
-The solution set for the equation 4( 2s - 5) = 8s - 20 is given as 0. Is this correct? Explain.

Accepted Answer

The answer of Provide an appropriate response.
-The solution set for...

Question 14

Provide an appropriate response.
-After working correctly through several steps of the solution of a linear equation, a student obtains the equation 6x = 5x. Then the student divides each side by x to get 6 = 5 and gives ∅ as the answer. Is this correct? If not, explain why.

Accepted Answer

The answer of Provide an appropriate response.
-After working correctly through...

Question 15

Choose the one alternative that best completes the statement or answers the question.
Find the LCD of the list of fractions.
- ,

Accepted Answer

The answer of Choose the one alternative that best completes...

Question 16

Choose the one alternative that best completes the statement or answers the question.
Find the LCD of the list of fractions.
- ,

Accepted Answer

The answer of Choose the one alternative that best completes...

Question 17

Choose the one alternative that best completes the statement or answers the question.
Find the LCD of the list of fractions.
- ,

Accepted Answer

The answer of Choose the one alternative that best completes...

Question 18

Choose the one alternative that best completes the statement or answers the question.
Find the LCD of the list of fractions.
--  ,

Accepted Answer

The answer of Choose the one alternative that best completes...

Question 19

Choose the one alternative that best completes the statement or answers the question.
Find the LCD of the list of fractions.
- ,

Accepted Answer

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Question 20

Choose the one alternative that best completes the statement or answers the question.
Find the LCD of the list of fractions.
--  , -

Accepted Answer

The answer of Choose the one alternative that best completes...

Quiz 3: Linear Equations and Inequalities in Two Variables; Functions

Choose the one alternative that best completes the statement or answers the question Solve the equation. - ( 4x - 10) = ( 25x - 10)

Choose the one alternative that best completes the statement or answers the question Solve the equation. --( 3y + 7) - ( -2y + 1) = -3

Choose the one alternative that best completes the statement or answers the question Solve the equation. -0.31(x + 20) + 0.42(x + 85) = -34.75

Write the answer to the problem as an algebraic expression. -Two numbers have a sum of 52. One of the numbers is s. Find the other number.

Write the answer to the problem as an algebraic expression. -The product of two numbers is 10. One of the numbers is t. Find the other number.

Write the answer to the problem as an algebraic expression. -Today the Center City baseball team scored 11 runs. The day before yesterday they scored y. How many runs did they score in these two days?

Write the answer to the problem as an algebraic expression. -Susan has 10 cats. She gave p to her lonely aunt. How many does she have left?

Write the answer to the problem as an algebraic expression. -Bill is q years old. How old will he be in 4 years? How old was he 5 years ago?

Write the answer to the problem as an algebraic expression. -Elizabeth earned 15 dollars a day at her job. Assuming a 5-day work week, how much did she earn in x weeks?

Write the answer to the problem as an algebraic expression. -A water tank holds G gallons. Since there are 4 quarts per gallon, how many quarts does the tank hold?

Write the answer to the problem as an algebraic expression. -A theater ticket for adults is A dollars and the price of a child's ticket is c dollars. If 14 adults and 21 children attend the theater one night, how much money did the theater make?

Provide an appropriate response. -Write the steps you would use to solve this equation: 7(x - 1) + 4x = -5x.

Provide an appropriate response. -The solution set for the equation 4( 2s - 5) = 8s - 20 is given as 0. Is this correct? Explain.

Provide an appropriate response. -After working correctly through several steps of the solution of a linear equation, a student obtains the equation 6x = 5x. Then the student divides each side by x to get 6 = 5 and gives ∅ as the answer. Is this correct? If not, explain why.

Choose the one alternative that best completes the statement or answers the question. Find the LCD of the list of fractions. - ,

Choose the one alternative that best completes the statement or answers the question. Find the LCD of the list of fractions. - ,

Choose the one alternative that best completes the statement or answers the question. Find the LCD of the list of fractions. - ,

Choose the one alternative that best completes the statement or answers the question. Find the LCD of the list of fractions. -- ,

Choose the one alternative that best completes the statement or answers the question. Find the LCD of the list of fractions. - ,

Choose the one alternative that best completes the statement or answers the question. Find the LCD of the list of fractions. -- , -