Math Review

Exponential Properties

100

6³ x 6⁷

6¹⁰

200

7¹²/7⁵

7⁷

300

(4⁷ x 9⁸/ 4³ x 9⁴)⁵

4²⁰ x 9²⁰

400

(7¹⁶ x 34⁵ x 2⁷)⁰

1

500

4² x 7^-5 x 5^-3

4²/7⁵ x 5³

Linear Equations

100

Find the y-intercept and slope of this equation. y=3/6x-5

Slope:3/6

y-intercept:-5

200

Rewrite this equation in slope-intercept form. 2y-3x=16

y=3/2x+8

300

Find the y-intercept of a line that has a slope of -5 and goes through the point (0,4).

Y-intercept:4

400

Solve for one solution, no solution, or infinite solution.4(2x-3)+16=2(2+4x)

8x+4=4+8x 

Infinite Solution

500

Solve for x if y=-3. 13x+7-7y=6x-8+3y-2x

x=5

Functions

100

Is this a function?       x  y

                                1   4

                                2   4

                                3   4

It is a function.

200

Is this a function?     x  y

                              3   5

                              3   6

                              5   1

No it is not a function.

300

Is this many-to-one, one-to-one, one-to-many, or many-to-many?     x  y

                           3   4

                          16  7

It is one-to-one.

400

Is this a function or a relation?   x   y

                                              17   8

                                              17   9

                                              6     9

It is a relation.

500

Is this a function or relation and what kind is it?  x  y

                                                                      3   6

                                                                      7   9

                                                                   10  11

It is a one-to-one function.

Geometry

100

What is the volume of a rectangular prism with a height of 4, a length of 2, and a width of 16?

Volume=128

200

What id the volume of a cylinder with a radius of 7 and a height of 13.5?

Volume=2077.11

300

What is the volume of a cone with a diameter of 16 and a height of 19.25?

Volume=429.8311

400

What is the volume of a sphere with a diameter of 16.2?

Volume=741.65544

500

What is the volume of a sphere in terms of pi with a diameter of 6?

Volume=36 pi