Multistep Equations Test Review

Distributive Property

100

2(2+m)=16

m=6

200

-2(x-3)=30

x=-12

300

3(2x+7)=27

x=1

400

6(3x+5)=39

x=1/2

500

10(5k+8)=10

k=-7/5

Combining Like Terms

100

Simplify. 

2x + 9y -10y + x - 8c

3x-y-8c

200

Simplify. 

2x+7+3x-2+3

5x+8

300

Simplify.

8+2x-7+7x -2y

9x-2y+1

400

Simplify.

3x - y +12 - 10y + 4x 

7x-11y+12

500

Simplify.

16x – 4x – 7x + 13 – 11

5x + 2

Two-Step Equations

100

Solve:

−6𝑥 + 8 = 110

𝒙 = −17

200

Solve.

−2𝑥 − 8 = −4

𝒙 = −2

300

Solve:

−8𝑥 + 3 = −13

x=2 

400

Solve.

(x+7)/2=2

x=-3

500

Solve.

 

(8+x)/6=3

x = 10

Multistep Equations

100

Solve.

−12(x − 12) = −9(1 + 7x)

x=-3

200

Solve: 

−16 + 5n = −7(−6 + 8n) + 3

n=1

300

Solve.

−4k + 2(5k − 6) = −3k − 39

k=-3

400

Solve.

−10n + 3(8 + 8n) = −6(n − 4)

n=0

500

Solve:

12(2k + 11) = 12(2k + 12)

No Solution

Bonus Round Question

100

What is the first step in solving a multi-step equation?

Check for parenthesis and distribute.

200

What is the second step in solving a multi-step equation?

Check for like terms and combine.

300

What is the third step in solving a multi-step equation?

Check for variable on both sides - cancel out one (usually the smallest).

400

What is the fourth step in solving a multi-step equation?

Start isolating the variable by canceling out anything ADDED or SUBTRACTED to the variable.  Use INVERSE OPERATIONS to cancel.

500

What is the last step in solving a multi-step equation?

Clear the coefficient!  Divide by the coefficient to solve.