AnswersFL-1205040-MJ Grade 7 Mathematics B -GFSolving Two-Step Equations

Solving Two-Step Equations Answers

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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
2
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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
3

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

Question illustration
A
4 x + 8 = negative 24
Option A
B
9 x + 18 = negative 24
Option B
C
4 x = negative 16
Option C
D
StartFraction 18 x + 36 over 2 EndFraction = negative 24
Option D
E
4 x = negative 32
Option E
4

What is the value of x in the equation below?

Question illustration
A
2
B
6
C
8
D
10
5

Carina spent a total of $5.27 buying a pineapple for $3.40 and some tomatoes that were on sale for $0.85 per pound. To determine the number of pounds of tomatoes that she bought, x, Carina wrote and solved the equation as shown below.Where, if anywhere, did Carina make an error?

Question illustration
A
Carina did not make any errors.
B
The initial equation that Carina wrote was incorrect.
C
Carina should have subtracted 3.40 from 5.27.
D
Carina should have divided 8.67 by 0.85.
6

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?

Question illustration
A
;
Option A
B
;
Option B
C
;
Option C
D
;
Option D
7

The height of a window is 0.6 feet less than 2.5 times its width. If the height of the window is 4.9 feet, which equation can be used to determine x, the width of the window?

A
2.5 x + 0.6 = 4.9
Option A
B
2.5 x minus 0.6 = 4.9
Option B
C
0.6 x + 2.5 = 4.9
Option C
D
0.6 x minus 2.5 = 4.9
Option D
8

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

A
–7
B
–3
C
3
D
7
9

Vance ate a salad and of a turkey burger for dinner. The salad contained 80 calories and his entire meal contained 440 calories. Which equation can be used to determine x, the number of calories in the entire turkey burger?

Question illustration
A
440 = four-fifths x + 80
Option A
B
80 = four-fifths x + 440
Option B
C
440 = four-fifths (80) + x
Option C
D
440 = 80 x + four-fifths
Option D
10

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

Question illustration
A
6 (StartFraction 5 over 6 EndFraction x + two-thirds) = negative 9
Option A
B
6 (StartFraction 5 over 6 EndFraction x + two-thirds) = negative 9 (6)
Option B
C
5 x + 4 = negative 54
Option C
D
5 x + 4 = negative 9
Option D
E
5 x = negative 13
Option E
F
5 x = negative 58
Option F

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