Solving Two-Step Equations Answers

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One cylinder has a volume that is 8 less than of the volume of a second cylinder. If the first cylinder’s volume is 216 , what is the correct equation and value of x, the volume of the second cylinder?

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A
;
Option A
B
;
Option B
C
;
Option C
D
;
Option D
2
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What is the value of x in the equation ?

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A
–56
B
–52
C
52
D
56
3

What is the value of x in the equation below?

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A
2
B
6
C
8
D
10
4

The first and second steps to solve the equation are shown below.Which property was applied in the second step?

Question illustration
A
Addition Property of Equality
B
Subtraction Property of Equality
C
Multiplication Property of Equality
D
Division Property of Equality
5

The total cost of Anja’s trip to the dentist was $628.35. She paid a flat fee of $89.95 which included the checkup and cleaning and then had 4 cavities filled, each of which cost the same amount. Which shows the correct equation and value of x, the cost of each cavity filling?

A
;
Option A
B
;
Option B
C
;
Option C
D
;
Option D
6

Florian ran 1.2 miles and walked 4.8 laps around the path at the park for a total distance of 3.6 miles. Which shows the correct equation and value of x, the distance of 1 lap around the path at the park?

A
; mile
Option A
B
; mile
Option B
C
; mile
Option C
D
; mile
Option D
7

Which equations have the same value of x as ? Select three options.

Question illustration
A
18 x minus 15 = 72
Option A
B
50 x minus 25 = 72
Option B
C
18 x minus 9 = 72
Option C
D
3 (6 x minus 3) = 72
Option D
E
x = 4.5
Option E
8

Which problem can be solved using the equation shown?

Question illustration
A
Will bought several books that cost $2.50 each and received a $2.00 discount on his total bill. If he paid $10.50, how many books did he buy?
B
Will bought several books that cost $2.00 each and received a $2.00 discount on his total bill. If he paid $10.50, how many books did he buy?
C
Will bought several books that cost $10.50 each and received a $2.00 discount on his total bill. If he paid $2.50, how many books did he buy?
D
Will bought several books that cost $10.50 each and received a $2.50 discount on his total bill. If he paid $2.50, how many books did he buy?
9

What is the value of x in the equation 0.7x – 1.4 = –3.5?

A
–7
B
–3
C
3
D
7
10

Which equation, when solved, results in a different value of x than the other three?

A
Negative StartFraction 7 over 8 EndFraction x minus three-fourths = 20
Option A
B
Three-fourths + StartFraction 7 over 8 EndFraction x = negative 20
Option B
C
Negative 7 (StartFraction 1 over 8 EndFraction) x minus three-fourths = 20
Option C
D
Negative StartFraction 7 over 8 EndFraction (Negative StartFraction 8 over 7 EndFraction) x minus three-fourths = 20 (Negative StartFraction 8 over 7 EndFraction)
Option D

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