Equations Test Review

one step equations

100

n + 2 = 9

n=7

150

 x − 23 = 8

x=31

200

9k = −27

k=-3

250

x/3 = 12

x=36

300

x/6 = 0

x=0

two-Step Equations

100

3x + 6 = 21

x=5

150

2g − 4 = 6

g=5

200

20 = −4 − 3c

x=−8

250

y/5 – 2 = 1

y=15

300

−1 = y/4 − 7

y=24

multi-step

100

Should you MOVE IT or KEEP IT TOGETHER?

What does this look like afterward?

24 = 5x + 6 + 4x

KEEP IT TOGETHER

24 = 9x + 6

150

Should you MOVE IT or KEEP IT TOGETHER?

What does this look like afterward?

2x + 11 = −3x − 4

MOVE IT

5x + 11 = −4   or   11 = −5x − 4

200

Should you MOVE IT or KEEP IT TOGETHER?

Then solve this equation:

12n + 24 = 10n + 20

n=-6

250

8 + 3x = −2 + 2x + 6x

x=2

300

8 − 2y − 3y − 9 = −11

y=2

Word Problems

100

Julie is 3 years older than her sister. Julie's age is 11 years old. How old is her sister?

n + 3 = 11

n = 8 

Julie's sister is 8 years old.

150

Deondre bought 7 Hannah Montana t-shirts for a total of $90.93. Each t-shirt cost the same amount. How many Hannah Montana t-shirts did Mr. Cushman buy?

7n = 90.93 

n = 12.99 

Each t-shirt cost $12.99

200

Tyler has 4 boxes of apples. Each box has the same number of apples. After Tyler eats 3 apples, there are 109 apples left in the boxes. How many apples were in each box?

4a - 3 = 109 

a = 28 

There were 28 apples in each box.

250

Eva took a taxi from the airport to her friend's house. The taxi charged a pick-up fee of $4.10, and charged $0.50 per mile. Her total charge was $9.60. How many miles was the taxi ride?

4.10 + 0.5m = 9.60

m = 11

Eva rode 11 miles.

300

Bobby goes to the grocery store and purchases 17 bags of raisins and a $2.97 jar of peanut butter. His total cost was $34.76. What was the cost for a bag of raisins?

17r + 2.97 = 34.76 

r = 1.87 

Each bag of raisins cost $1.87

Sentences and Equations

100

Write an equation for this sentence:

3 times x, plus 5, equals 17

3x + 5 = 17

150

Write a sentence for this equation:

21 = x/2 + 1

21 equals x divided by 2, plus 1

200

Write a sentence for this equation:

4x − 16 + 3x = 25

4 times x, minus 16, plus 3 times x, equals 25

250

Write an equation for this sentence:

30 equals 14 minus, 5 times x, minus 4 times x

30 = 14 − 5x − 4x

300

Write an equation for this sentence:

−14 times x, minus 20, equals 36, plus 11 times x

−14x − 20 = 36 + 11x