Solving Two-step Equations --8th Grade

1) 5d-9=-24

-3

10

20

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.

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.

2) 8k-40=16

56

7

448

8

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.

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.

3) 21q-11=10

21

11

1

0

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.

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.

4) 6p+22=10

-3

3

-2

-18

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.

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.

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*

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.

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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