Solving Two-Step Equations --8th Grade

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| By Mrsgibbmath

Mrsgibbmath

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Quizzes Created: 1 | Total Attempts: 1,299

Questions: 5 | Attempts: 1,299 | Updated: Feb 2, 2024

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Students will test their ability by solving two-step equations.
These problems require a pencil and paper.

Questions and Answers

1.

6p+22=10
- A.
  
  -3
- B.
  
  3
- C.
  
  -2
- D.
  
  -18
Correct Answer
C. -2

Explanation
To solve the equation 6p + 22 = 10, we need to isolate the variable p. First, we subtract 22 from both sides of the equation, which gives us 6p = -12. Then, we divide both sides of the equation by 6 to solve for p. This gives us p = -2. Therefore, the correct answer is -2.

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2
0
2.

21q-11=10
- A.
  
  21
- B.
  
  11
- C.
  
  1
- D.
  
  0
Correct Answer
C. 1

Explanation
To solve the equation 21q - 11 = 10, we need to isolate the variable q. First, we add 11 to both sides of the equation to get 21q = 21. Then, we divide both sides by 21 to find that q = 1. Therefore, the answer is 1.

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1
1
3.

8k-40=16
- A.
  
  56
- B.
  
  7
- C.
  
  448
- D.
  
  8
Correct Answer
B. 7

Explanation
To solve the equation 8k - 40 = 16, we need to isolate the variable k. To do this, we can start by adding 40 to both sides of the equation. This gives us 8k = 56. Then, we can divide both sides of the equation by 8 to solve for k. This gives us k = 7. Therefore, the correct answer is 7.

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4.

5d-9=-24
- A.
  
  -3
- B.
  
  10
- C.
  
  20
Correct Answer
A. -3

Explanation
By subtracting 9 from both sides of the equation, we get 5d = -15. Then, dividing both sides by 5, we find that d = -3. Therefore, the correct answer is -3.

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5.

A furniture rental store charges a down-payment of $100 and $75 per month for a table. Hilde paid $550 to rent the table. Solve 75n + 100 = 550 to find the number of months Hilde rented the table. *Please only write a number as your answer*

Correct Answer
6

Explanation
The equation 75n + 100 = 550 represents the total cost of renting the table for n months. To find the number of months Hilde rented the table, we need to solve this equation. By subtracting 100 from both sides, we get 75n = 450. Dividing both sides by 75, we find that n = 6. Therefore, Hilde rented the table for 6 months.

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Current Version
Feb 02, 2024

Quiz Edited by
ProProfs Editorial Team
Apr 30, 2010

Quiz Created by
Mrsgibbmath

Solving Two-step Equations --8th Grade

6p+22=10

21q-11=10

8k-40=16

5d-9=-24

A furniture rental store charges a down-payment of $100 and $75 per month for a table. Hilde paid $550 to rent the table. Solve 75n + 100 = 550 to find the number of months Hilde rented the table. Please only write a number as your answer