# Worksheet: Two-Step Equations

In this worksheet, we will practice solving two-step equations.

**Q7: **

Find the solution set of the equation in .

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- E

**Q8: **

If , what is the value of ?

**Q9: **

Find the solution set of the equation .

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- D

**Q10: **

Which of the following equations has a solution set of ?

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- D

**Q11: **

Which of the following equations is equivalent to ?

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**Q12: **

Answer the following questions using the given diagram.

Form an equation that will allow you to calculate .

- A
- B
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- E

Find the value of .

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**Q13: **

Find the solution set of in .

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- D

**Q14: **

Solve .

**Q15: **

Bassem has a collection of 51 stamps. When he was moving, he put the same number of stamps in each of the first 8 albums and 3 stamps in the last album. Find the number of stamps in each of the first eight folders by solving the equation , where is the number of stamps.

**Q16: **

Fady has 34 marbles. He has the same number of red, yellow, and blue marbles, as well as 7 multicolored marbles. Determine the number of yellow marbles he has by solving for .

**Q17: **

Solve .

**Q18: **

Find the solution set of in .

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- D

**Q19: **

Write an equation to describe the following: nine more than the quotient of a number with 6 is 32.

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**Q20: **

In the given diagram, is a straight line. Answer the following questions.

Form an equation that will allow you to calculate .

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- B
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- E

Find the value of .

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**Q21: **

Write an equation to find a number, where fifty less than eight times that number is three times the same number, and then solve it.

- A , 10
- B , 4
- C , 3
- D , 10
- E , 6

**Q22: **

A cleaning session for a pool in a gym lasts for 35 minutes on weekdays and 45 minutes on weekends. Suppose the time it took to clean the pool last week was 5 hours altogether. Write an equation to represent this information, and then solve it to determine how many weekday cleaning sessions there were.

- A , 8 sessions
- B , 2 sessions
- C , 5 sessions
- D , 6 sessions
- E , 11 sessions

**Q23: **

A number is tripled and 7 is subtracted from the result. If the answer is 17, what is the number?