Writing & Simplifying Practice

Translating

100

Translate the following into algebra: The sum of 9 and x.

x + 9 

200

The difference of eight and a number.

8 - n

300

Translate the following into algebra: The product of x and 6.

6x

400

Translate the following into algebra:  9 is taken away from the product of two and x.

2x - 9 

500

Translate the following into algebra: The product of seven and a number is equal to 35.

7n = 35

Word problems

100

Jasmine’s cell phone company charges her $35 an month for phone service plus 0.50 for each text message. How many text messages does Jasmine send in a month if her bill was $52?  

.5x+35=52

200

Caroline’s Coffee Shop sells a refill mug for $8.95. Each refill costs $1.50. Last month Sean spent $26.95 on a mug and refills. How many refills did he buy?

1.5c+8.95=26.95

300

Elkins Pointe basketball team purchased equipment and uniforms for a total cost of $912. The equipment cost $612 and the uniforms were $25 each. How many uniforms did the school purchase?

25x+612=912

400

The bill for the repair of a computer was $179. The cost of parts was $44, and labor charge was $45 per hour. How many hours did it take to repair the computer?

45L+44=179

500

Blake’s Bowling Alley offers a special. Each game costs $2.50 and the shoe rental $2.00. You spend $14.50 total. How many games did you bowl?

2.5x+2=14.5

Simplifying Expressions

100

6x + 2y - 4x - y

2x + y

200

5(3x + 1)

15x + 5

300

3(2x - 1)

6x - 3

400

3b(a + 7) 

3ab+ 21ab

500

6+4(3x - 9) +2x

14x-30

Substitution

100

Simplify when x=3

2x

6

200

Simplify when x=1

-6(5x + 2)

-42

300

Simplify when x=3, y=4

- 2x+3y

6

400

Simplify when x=6, a=-1

-3a(8 - 2x) 

-12

500

Simplify when x=3, y=-5 ,z=6

7x-(3y+2)²+10z

-88

Order of Operations

100

6-20+5

-9

200

6(4-5)+2²

-2

300

4/6*3+(5-2)²

11

400

2-(6+7)+3²*4

25

500

2(10-6*3)²-(5+7)/2

122