# Worksheet: Writing Two-Step Equations

Q1:

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

• A
• B
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• D
• E

Q2:

Write an equation to describe the following: Negative forty-two is two less than four times a number.

• A
• B
• C
• D
• E

Q3:

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

• A , 5
• B , 1
• C , 5
• D , 5
• E , 2

Q4:

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

Q5:

Benjamin wants to join a gym in his neighborhood. It costs \$20 for the first subscription plus a monthly fee of \$12. If Benjamin has \$152 to spend, write and solve an equation to find the number of months he can use the gym.

• A , 4 months
• B , 13 months
• C , 8 months
• D , 11 months
• E , 14 months

Q6:

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

Q7:

It took Olivia and Jacob 155 minutes to clean their apartment. Given that Olivia cleaned for 85 minutes longer than Jacob, write an equation to express the amount of time that Olivia spent cleaning. Then solve the equation.

• A ,
• B ,
• C ,
• D ,
• E ,

Q8:

The startup cost for a restaurant is , and each meal costs \$10 for the restaurant to make. If each meal is then sold for \$15, after how many meals does the restaurant break even?

Q9:

BikesβRβUs is a new company that manufactures bikes. They sell each bike for \$250. Given that they had a startup fee of \$3β500 and the manufacture cost of each bike is \$180, how many bikes do they need to sell to break even?

Q10:

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

Form an equation that will allow you to calculate .

• A
• B
• C
• D
• E

Find the value of .

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• B
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• E

Q11:

If and , find the value of .

Q12:

Given that is a rectangle, , and , find .