AnswersSS-Math 7Solving Multi-Step Equations

Solving Multi-Step Equations Answers

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Zachary is solving the following equation.Which is the best first step to begin to simplify the equation?

Question illustration
A
Multiply both sides of the equation by .
Option A
B
Divide both sides of the equation by .
Option B
C
Distribute over (x – 8).
Option C
D
Distribute over (x – 8).
Option D
3

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
4

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
6

What is the value of x in the equation?

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

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