AnswersSS-Math 7Solving Multi-Step Equations

Solving Multi-Step Equations Answers

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1
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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
2
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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.
6

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
7

What is the value of x in the equation?

Question illustration
A
–36
B
–33
C
–24
D
Negative 18
Option D
8

Celia uses the steps below to solve the equation .Step 1Distribute over the expression in parentheses.Step 2Simplify like terms.Step 3Subtract 3 from both sides of the equation.Step 4Divide both sides of the equation by –14.Which corrects the error in the step in which Celia made the first error?

Question illustration
A
In step 1, she should have also distributed over 2d, to get .
Option A
B
In step 1, she should have also distributed over –16d, to get .
Option B
C
In step 3, she should have added 3 to both sides of the equation to get .
Option C
D
In step 3, she should have first divided both sides by –14 to get .
Option D
9

Rita makes and sells necklaces. The materials to make each necklace cost $2.75. Last week she made 8 necklaces and wants to make a total profit of $78. Using the equation , Rita determined that she needs to sell each necklace for $7 to make a total profit of $78. Which error did Rita make?

Question illustration
A
Although she has the correct equation, she needs to sell each necklace for $12.50.
B
Although she has the correct solution, she should have used the equation .
Option B
C
The equation should be , and she needs to sell each necklace for $12.50.
Option C
D
The equation should be , and she needs to sell each necklace for $75.25.
Option D

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Solving Multi-Step Equations Answers — SS-Math 7