Solving multi-step problems using linear equations in one variable

What number would you multiply by to clear these fractions?

 $\frac{2}{3}x\ +\ \frac{1}{3}\ =\ 5$  

• 2

• 1

• 5

• 3

 $\frac{3}{4}x\ +2=11$  

Solve: Combine Like Terms First!

2x - 3 + 4x = 27

• 12

• 4

• 5

• 15

• 45

• 13

• 21

• 7

A car rental company charges a flat fee of $50 plus $0.25 per mile. If a customer's bill was $200, and they drove 600 miles, what was the flat fee?

• $200 / 600 = $50

• $200 - ($0.25 * 600) = $50

• $200 + $0.25 = $50

• $200 - $0.25 = $50

Solve:

11 = 18 + 7x

Type the NUMBER ONLY of your answer in the space provided. You do NOT need to include "x=" when you type your answer in the box.

Be sure to set up the problem on your paper and show ALL work on both sides of the equation! Don't forget to include your check step!

Determine the solution for z: 6z + 3 = 33

• z = 5

• z = 6

• z = 7

• z = 4

What step would be used FIRST to solve for the variable?

• add 16 to both sides

• divide both sides by 3

• multiply both sides by 3

• subtract 5 from both sides

You are doing a fundraiser for school selling cakes and cookies. Cakes are $20 and a dozen cookies are $15. If you have made $310 and sold 10 orders of cookies, how many cakes have you sold? (only type the number in the blank)

Solve x/2 - 6 = 14

• 40

• 16

• 4

• 10