AnswersSS-Math 7Solving Multi-Step Equations

Solving Multi-Step Equations Answers

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Rona mixes 2 pounds of meat with some chopped vegetables to make a mixture. She divides the mixture into 4 equal portions. Each portion weighs 3 pounds. Which equation and solution shows the total amount of chopped vegetables she used in the mixture?

A
pounds of chopped vegetables
Option A
B
pounds of chopped vegetables
Option B
C
pound of chopped vegetables
Option C
D
pounds of chopped vegetables
Option D
2
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A company is making new soccer uniforms for a team. The company uses 2.5 yards of fabric for each shirt. The company uses 82.5 yards of fabric to make shirts and shorts for 15 players. The equation and solution below represents the situation.What does the solution, , represent?

Question illustration
A
the total fabric needed for the shirts
B
the total fabric for each shirt and each pair of shorts
C
the amount of fabric left over after making the shirts and shorts
D
the amount of fabric needed for each pair of shorts
3

A group of 8 friends went to lunch and spent a total of $76, which included the food bill and a tip of $16. They decided to split the bill and tip evenly among themselves. Which equations and solutions describe the situation? Select two options.

A
The equation represents the situation, where x is the food bill.
Option A
B
The equation represents the situation, where x is the food bill.
Option B
C
The solution represents the total food bill.
Option C
D
The solution represents each friend’s share of the food bill and tip.
Option D
E
The equation represents the situation, where x is the food bill.
Option E
4

Gisele trains 7 days per week for a biathlon. She covers a total of 20 miles cycling and running each day. Gisele cycles a total of 105 miles each week, and runs a certain number of miles per week. If she cycles the same number of miles each day and runs the same number of miles each day, the equation represents the situation. Which describes the solution, , to this equation?

Question illustration
A
The solution is 5, which represents the number of miles she runs each day.
B
The solution is 5, which represents the number of miles she runs each week.
C
The solution is 35, which represents the number of miles she runs each day.
D
The solution is 35, which represents the number of miles she runs each week.
5

Mr. Reddick has 74 total yards of red and blue felt to distribute to students in his art class. Each of his 20 students gets 2.5 yards of blue felt for the project. He also gives each student an equal amount of red felt. How much red felt does each student get?

A
1.2 yd
B
3.7 yd
C
12 yd
D
24 yd
6

Shawna, Dexter, and Tilana are solving the equation .Shawna says, “I can begin by dividing each side of the equation by –2.5 to get .”Dexter says, “I can begin by distributing to get .”Tilana says, “I can begin by multiplying each side of the equation by to get .”Which students are correct?

Question illustration
A
only Shawna and Tilana
B
only Shawna and Dexter
C
only Dexter and Tilana
D
Shawna, Dexter, and Tilana
7

The Schwartz family spent a total of $111.75 for Internet service for 3 months. Eachmonth they received $5.50 as a credit on the bill. Which equation and solution showsthe cost of their monthly Internet service before the credit?

A
; the monthly Internet service is $31.75
Option A
B
; the monthly Internet service is $42.75
Option B
C
; the monthly Internet service is $42.75
Option C
D
; the monthly Internet service is $31.75
Option D
8

What is the value of x in the equation?

Question illustration
A
–36
B
–33
C
–24
D
Negative 18
Option D
9

Sanjay uses the steps below to solve the equation .Step 1Multiply both sides of the equation by .Step 2Simplify like terms.Step 3Subtract 10 on both sides of the equation.Step 4Divide both sides of the equation by 6.Which is the first error that Sanjay made when finding the solution?

Question illustration
A
In step 1, he multiplied by instead of by .
Option A
B
In step 1, he did not multiply 4p by when multiplying both sides by .
Option B
C
In step 3, he should have added 10 to both sides of the equation instead of subtracting 10.
D
In step 3, he should have divided both sides by 6 instead of subtracting 10.
10

What is the value of r in the equation?

Question illustration
A
–6
B
–4
C
4
D
6

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