Math 8 Review

Exponents

100

What is x⁵ + x² ?

x⁷

200

What is x⁶/x³ ?

x³

300

What is y⁴/y⁵

y^-1  or 1/y

400

What is (x³)⁴?

x¹²

500

What is xy²+x³y⁶?

x⁴y⁸

Volume

100

What is the volume of a cone?

Volume=1/3πr²h

200

What is the volume of a cylinder with a height of 2 and a radius of 4? Leave your answer in terms of π

Volume= 32π

300

What is the volume of a cone with a diameter of 8 and a height of 9? Leave your answer in terms of π

Volume= 48π

400

What is the volume of a sphere?

4/3 πr³

500

A water tank is in the shape of a cylinder with a height of 16 feet and a volume of 400π cubic feet. What is the diameter, in feet, of the water tank?

Diameter= 10

Equation of a Line

100

The solution to a system of equations is where your two lines do what?

Intersect

200

Ashley and Maria are raising money for their classes to go on a trip. Ashley models the amount of money she has raised with the equation y=3/2x. Maria models the amount of money she has raised with the equation y=3/4x. Who has the greater rate of change?

Ashley

300

John goes shopping. He buys 5 ties that are all the same price and one suit jacket that is $40. What equation can be used to represent this situation?

y=5x+40

400

Thomas uses a linear function to relate the heights of boys to the heights of their mothers. Thomas' mother is 62 inches tall, and Thomas is 71 inches tall. He plots the point (62,71) on a graph. Thomas' aunt is 65 inches tall, and his cousin is 73 inches tall. He plots the point (65,73). What is the slope of the line used to model this relationship?

Slope= 2/3

500

Manipulate the following equation into y=mx+b form:

2x+3y=6

y= -2/3x+2

Miscellaneous

100

Is y=3x+2 linear or non-linear?

Linear

200

How many solutions does 3(2x-3)=6x-9 have?

Infinitely many solutions

300

Solve for x:

3x-4=x+16

x=10

400

A parallelogram with vertices at (0,3), (2,0), (4,2), and (2,5) is reflected over the y-axis. Which vertex of the parallelogram will have the same x-coordinate before and after the reflection?

(0,3)

500

Two angles are given of 2x+10 and 3x. The angles are corresponding. What is the value of x?

x=10

Scientific Notation

100

What is 5 x 10^-1?

.5

200

What is 2.1 x 10³?

2,100

300

What is (1.2 x 10²)(3.1 x 10³) in scientific notation?

3.72 x 10⁵

400

What is 4 x 10^-1/ 2 x 10² in standard notation ?

.002

500

A cylinder has a height of 1.2 x 10³ inches tall and has a diameter of 20 inches. What is the approximate volume of the cylinder in scientific notation?

3.8 x 10⁵ cubic inches