Solving One-Step Equations

Exponents

100

3^-2

1/3²  or  1/9

200

54⁰

1

300

y^-9

1/y⁹

400

m⁰n^-2

1/n²

500

(-4)^-2 

1/4² or 1/16

square roots & Decimals

100

Simplify

√ 169 

13

200

Simplify

√ 324 

18

300

write as a decimal

5/8, is it terminated?

0.625 

Terminated

400

write as a decimal

1/6 

is it terminated

0.1666...

Not Terminated

500

write as a decimal 

2/9 

is it terminated?

0.222...

Not Terminated

Linear Expressions

100

5m + 12 - 7m - 8 + 6w

-2m + 4 + 6w

200

-3(5x - 2y)

-15x + 6y

300

(–9x + 8) – (–14x + 2)

5x + 6

400

-2/7 (21x - 35) - (-27x + 14)

21x - 4

500

1/2 x + 3/5 - 3/7 x - 1/10

1/14 x + 1/2

Equations

100

y - 6 = 2

y=8

200

1/8 = 1/4 + x

x = -1/8

300

24 = -3c - 6 

c = -10

400

4x + 12 = - 16

x = -7

500

5x - 1.4 = -24.9

x = -4.7

Proportional RElationships

100

A saltwater solution for an aquarium calls for 35 parts salt to 1000 parts water. Tarek used 7 tablespoons of salt and 200 tablespoons of water.

represents

both have a ratio of 7 : 200

200

A conveyor belt moves at a constant rate of 12 feet in 3 seconds. A second conveyor belt moves at a constant rate of 16 feet in 4 seconds.

represents

both have a ratio of 4 feet to 1 second

300

On Saturday, Manny jogged 5 laps in 12 minutes. On Sunday, he jogged 8 laps in 18 minutes.

does not represent

400

A pancake recipe calls for 3 cups of mix and 2 cups of milk. Tate uses 12 cups of pancake mix and 8 cups of milk to make pancakes for a large group.

represents

both have a ratio of 3 : 2

500

During the spring, Mr. Salina's grass grows at a rate of 1.5 inches per week. During a rainy stretch in the summer, his grass grew a total of 8 inches in 4 weeks.

does not represent

the ratios are different