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Two-Step Equations Practice

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Two-Step Equations Practice

Understand the Equation

Choose the best answer for each question.

1.Which equation means “7 more than 4 times a number is 31”?

7x + 4 = 31
4x + 7 = 31
4(x + 7) = 31
7x - 4 = 31

2.What should you do first to solve 6p + 11 = 41?

Divide both sides by 6
Subtract 11 from both sides
Add 11 to both sides
Multiply both sides by 6

3.Which value of r makes 7r - 5 = 30 true?

r = 3
r = 4
r = 5
r = 6

Solve Two-Step Equations

Solve each equation. Show your steps.

4.Solve 4x + 9 = 33.

5.Solve 7y - 15 = 34.

6.Solve 19 = 3n + 4.

7.Solve -5m + 12 = -8.

Equations in Everyday Situations

Write an equation for each situation, solve it, and include the requested unit in your answer.

8.A bike rental shop charges a $12 starting fee plus $6 for each hour. Logan paid $42 total. How many hours did Logan rent the bike?

9.A temperature is converted from Celsius to Fahrenheit using F = 1.8C + 32. If F is 77°F, what is the temperature in degrees Celsius?

10.A school club has already collected $135 toward a $495 equipment fund. It will add $12 for every car-wash ticket sold. How many tickets must the club sell to reach the fund goal?