Question 1

Solve the equation.
-g - 27.22 = 0
A)-26.22
B)26.22
C)-27.22
D)27.22

Accepted Answer

To solve the equation for g, add 27.22 to both sides of the equation: g = 27.22.

Question 2

Solve the proportion.
-
A)9
B)0.06
C)4.5
D)18

Accepted Answer

C

Question 3

Solve the problem.
-Jim drove 117 miles in 3 hours. If he can keep the same pace, how long will it take him to drive 1,170 miles?
A)40 hr
B)351 hr
C)60 hr
D)30 hr

Accepted Answer

To find how long it will take Jim to drive 1,170 miles at the same pace, we first calculate his speed: 117 miles / 3 hours = 39 miles per hour. Then, to find the time to drive 1,170 miles at this speed, we divide the total distance by the speed: 1,170 miles / 39 miles per hour = 30 hours.

Question 4

Provide an appropriate response.
-Is this an application of the cross product method? If not, why not?

Accepted Answer

The answer of Provide an appropriate response.
-Is this an application...

Question 5

A formula is given, along with values for all but one of the variables in the formula. Find the value of the variable that is not given. Round to the nearest hundredth when necessary.
-P = 2L + 2w; P = 20, L = 7
A)L = 3
B)w = 13
C)w = 27
D)w = 3

Accepted Answer

Plug in the given values to the formula:
P = 2(7) + 2w
Simplify:
20 = 14 + 2w
Subtract 14 from both sides:
6 = 2w
Divide by 2:
w = 3. Therefore, the answer is D.

Question 6

Provide an appropriate response.
-Tell how you would split an amount according to a given ratio.

Accepted Answer

The answer of Provide an appropriate response.
-Tell how you would...

Question 7

Provide an appropriate response.
-In the Multiplication Rule for solving equations, explain why each side of the equation must be multiplied or divided by the same nonzero number.

Accepted Answer

The answer of Provide an appropriate response.
-In the Multiplication Rule...

Question 8

A formula is given, along with values for all but one of the variables in the formula. Find the value of the variable that is not given. Round to the nearest hundredth when necessary.
-d = rt; t = 5, d = 35
A)r = 40
B)r = 7
C)r = 30
D)d = 7

Accepted Answer

d = rt, t = 5, d = 35

Substitute the given values: 
35 = r(5)

Solve for r: 
r = 35/5 
r = 7

Therefore, r = 7. Substituting the given values into the formula, we get:
35 = r(5)
Solving for r, we divide both sides by 5:
r = 7
Therefore, the value of r is 7.

Question 9

Provide an appropriate response.
-Explain how you would write a ratio in terms of whole numbers when one or both terms are fractions.

Accepted Answer

The answer of Provide an appropriate response.
-Explain how you would...

Question 10

Provide an appropriate response.
-What is the cross product method? Use an example.

Accepted Answer

The answer of Provide an appropriate response.
-What is the cross...

Question 11

Solve the equation.
-m + 2.5 = 8.88
A)6.58
B)11.38
C)10.88
D)6.38

Accepted Answer

The answer of Solve the equation.
-m + 2.5 = 8.88
A)6.58
B)11.38
C)10.88
D)6.38...

Question 12

Solve the equation.
-4z + 19 = 3z + 2
A)-21
B)-17
C)21
D)17

Accepted Answer

To solve the equation, we need to isolate the variable z on one side of the equation.

Starting with: 4z + 19 = 3z + 2

Subtracting 3z from both sides:

4z - 3z + 19 = 2

Simplifying:

z + 19 = 2

Subtracting 19 from both sides:

z = -17

Therefore, the solution to the equation is z = -17. Therefore, the best choice is B) -17.

Question 13

Determine if the proportion is true or false.
-

Accepted Answer

The answer of Determine if the proportion is true or...

Question 14

Write the phrase as a mathematical expression. Use x as the variable.
-Some number divided by 59
A) 
B)59 - x
C)59x
D)59 + x

Accepted Answer

The answer of Write the phrase as a mathematical expression....

Question 15

Solve the equation.
--8 = b - 2
A)10
B)6
C)-10
D)-6

Accepted Answer

To solve for b, add 2 to both sides of the equation: -8 + 2 = b, which simplifies to b = -6.

Question 16

A formula is given, along with values for all but one of the variables in the formula. Find the value of the variable that is not given. Round to the nearest hundredth when necessary.
-C = 2  r; C = 31.40,  = 3.14
A)r = 5
B)r = 34.54
C)r = 197.19
D)r = 10

Accepted Answer

The answer of A formula is given, along with values...

Question 17

Solve the equation.
-t - 3 = 18
A)21
B)-15
C)15
D)-21

Accepted Answer

To solve the equation t - 3 = 18, add 3 to both sides to isolate t, resulting in t = 18 + 3, which simplifies to t = 21.

Question 18

Provide an appropriate response.
-Write a step-by-step explanation of how you would solve the equation  for b.

Accepted Answer

The answer of Provide an appropriate response.
-Write a step-by-step explanation...

Question 19

Provide an appropriate response.
-In your own words, explain how you would solve a word problem using proportions.

Accepted Answer

The answer of Provide an appropriate response.
-In your own words,...

Question 20

Solve the proportion.
-
A)0.04
B)7.14
C)24.5
D)8

Accepted Answer

The answer of Solve the proportion.
-
A)0.04
B)7.14
C)24.5
D)8...

Quiz 4: Equations and Formulas

Solve the equation. -g - 27.22 = 0

Solve the proportion. -

Solve the problem. -Jim drove 117 miles in 3 hours. If he can keep the same pace, how long will it take him to drive 1,170 miles?

Provide an appropriate response. -Is this an application of the cross product method? If not, why not?

A formula is given, along with values for all but one of the variables in the formula. Find the value of the variable that is not given. Round to the nearest hundredth when necessary. -P = 2L + 2w; P = 20, L = 7

Provide an appropriate response. -Tell how you would split an amount according to a given ratio.

Provide an appropriate response. -In the Multiplication Rule for solving equations, explain why each side of the equation must be multiplied or divided by the same nonzero number.

A formula is given, along with values for all but one of the variables in the formula. Find the value of the variable that is not given. Round to the nearest hundredth when necessary. -d = rt; t = 5, d = 35

Provide an appropriate response. -Explain how you would write a ratio in terms of whole numbers when one or both terms are fractions.

Provide an appropriate response. -What is the cross product method? Use an example.

Solve the equation. -m + 2.5 = 8.88

Solve the equation. -4z + 19 = 3z + 2

Determine if the proportion is true or false. -

Write the phrase as a mathematical expression. Use x as the variable. -Some number divided by 59

Solve the equation. --8 = b - 2

A formula is given, along with values for all but one of the variables in the formula. Find the value of the variable that is not given. Round to the nearest hundredth when necessary. -C = 2 r; C = 31.40, = 3.14

Solve the equation. -t - 3 = 18

Provide an appropriate response. -Write a step-by-step explanation of how you would solve the equation for b.

Provide an appropriate response. -In your own words, explain how you would solve a word problem using proportions.

Solve the proportion. -