AIR review

Equations/Expressions

100

Combine like terms:

6x + 3y - 5w - 9y + 4x

10x - 6y - 5w

200

Solve for x:

8 + 4x = 78

17.50

300

12(x + 5) = 216

13

400

8(m-2.5) = 20

5

500

7(3 + 2.5x) = 245

12.8

constant of proportionality

100

Tyler plays 5 video games every 90 minutes. What is the constant of proportionality relating to the number of games he plays per minute?

18

200

Given the equation y=18x, if x equaled 3.5 what would y equal?

63

300

If farmers pick 18 carrots for every 4 potatoes. Write an equation to represent the relationship between potatoes, p, and carrots, c.

c=4.5p

400

Toby goes on a trip and uses 21 gallons of gas for every 346.5 miles. Write an equation representing the relationship between miles, m, and gallons of gas, g.

m=16.5g

500

Mrs. Zulli gave out 468 pencils to her 104 students. Write an equation to represent the relationship between students, s, and pencils, p. 

p=4.5s

Circles and Volume

100

What is the radius of a circle with a diameter of 85?

42.5

200

What is the diameter of a circle with a radius of 24.5

49

300

Use the formula Area=pi x r x r

Solve for the area of a circle with a diameter of 30

706.5

400

What is the volume of a rectangular prism that has the following dimensions:

length: 5.4

width: 6.5

height: 8.25

Do not round your answer

289.575

500

What is the volume of a triangular prism that has the following dimensions:

length: 7.2

width: 6.5

height: 4

Do not round your answer

93.6

Percents

100

What is 114% as a decimal?

1.14

200

What is 3% as a decimal?

0.03

300

What is 31% of 80?

24.8

400

If an item is on sale for 75% off, and it originally cost $90, what is the sale price?

22.50

500

Sarah bought a new watch that was listed for $99. However, there is a 7% tax on her purchase, so how much did she pay overall for her watch?

$105.93

Random

100

What is the distance between 57 and (-22)?

+79

200

What is the quotient of 75 and 10?

7.5

300

On your board draw a number line with three tick marks to represent the solution to the following problem:

4x + 6 < 78

x < 18

Open dot on 18 and arrow going to the left

400

Solve using PEMDAS

-6 x 5 + 18 x 12 - 11

*You must show your work on your board to earn credit*

175

500

On your board draw a number line with three tick marks to represent the solution to the following problem:

7 - 3x > 25

x < -6   *flip the inequality because of the negative coefficient*

open circle on -6 with the arrow going to the left