AnswersPre-Algebra - MA3119 A Distance LearningSolving Two-Step Equations

Solving Two-Step Equations Answers

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1
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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
2
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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
3

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
4

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
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

Marta’s math textbook weighs of a pound less than 4 times the weight of the book she is reading for her language arts class. If the weight of the math textbook is pounds, which shows the correct equation and value of x, the weight of Marta’s book for language arts?

Question illustration
A
; of a pound
Option A
B
; of a pound
Option B
C
; of a pound
Option C
D
; of a pound
Option D
7

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
8

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
9

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
10

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
11

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

A
–7
B
–3
C
3
D
7
12

What is the value of x in the equation ?

Question illustration
A
–56
B
–52
C
52
D
56
13

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
14

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?

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