Review: One-Step and Two-Step Equations

One-Step +/-

100

Solve for x: 

x + 5 =9 

x =4

200

Solve for w: 

w - 11 = -4

w = 7

300

Solve for t:

-5 = t - 9

t = 4

400

Solve for n: 

-49 + n = -63

n = -14

500

Solve for z: 

1/2 = z + 8

z= -7 1/2

One-Step * and /

100

Solve for x: 

6x = -42

x = -7

200

Solve for y: 

1/3 y=11

y = 33

300

Solve for c: 

-8c = -72

c = 9

400

Solve for y: 

200= -25y

y = -8

500

Solve for c: 

5/8 c=-20

c = -32 

Two-Step Equations

100

Solve for n: 

5n - 9 = 71

n = 16

200

Solve for x: 

1/2 x+3=9

x =12

300

Solve for y: 

-3y -4 =14

y = -6

400

Solve for x:

-5(x - 1) = 40

x = -7

500

Solve for m: 

2(m + 12) = -36 

m = -30

Two Step Equations

100

Solve for p: 

2/3 p-7=17

p = 36

200

Solve for x:

8x + 22 =94

x = 9

300

Solve for m:

-15 = -4m + 5

m = 5

400

Solve for m:

m/4-8=2

m = 40

500

Solve for x:

1/4(x+6)=-12

x = -54

Potpourri

100

Use the distributive property to write equivalent expression:

4(3y - 2x - 9)

12y - 8x - 36

200

Use the distributive property to write equivalent expression:

6(-8 + 4w - 3z)

-48 + 24w - 18z

300

True or False?

The solution the equation below is 5.

x/3-10=5

False!

400

Are the following equations equivalent?  If not, what would you do to make them equivalent?

12(x + 10) = 24

12x + 22 = 24

No they are not. The bottom equation should be 12x + 120 = 24 (multiply the 10 by 12).

500

Where did Jesse make the mistake when solving the following equation? How would you fix it?

4(x + 6) = 22

4x = 16

x = 4

They subtracted 6 from both sides, which is just one group of 6, not four groups of 6.

Instead, Jesse has two options for a 1st step:

1. Divide both sides by 4.

2. Distribute the 4.