Algebra 1 Review

Domain & Range

100

What is the domain of the following relation? AND it is a function?

{(9, 0), (-2, 8), (3, -2), (6, -2)}

{-2, 3, 6, 9}

Yes, it is a function!

200

What is the Range of the below relation?  Is it a function?

{(0, 2), (2, 1), (3, 4), (8, 0), (2, 4)}

{0, 1, 2, 4}

No, it is not because the domain value 2 repeats

300

What is the range of the function f(x) = 3x + 2, when f(-2)?

f(x) = -4

400

What determines if something is a function or not?

And for an extra 100 points:

List ALL THREE names of this!

The domain!

Also known as x or the input

500

For the function f(x) = 4x - 12, what is f(x) = -4?

f(2) = -4

Meaning that the x or input must be 2 to have an output of -4 for the function.

Exponents

100

What is 2x²(3x⁴)?

6x⁶

200

What is (-4x⁶)²?

16x¹²

300

What is 3x³y²z(-xyz³)?

-3x⁴y³z⁴

400

What is the quotient of 2x³ and 6x⁵?

1/3x²

500

What is 3x³y⁴ divided by 9xy⁷z?

x²/3y³z

Linear Equations

100

Solve the linear equation.

3(x -2) + 6 = 12

x = 4

200

4(-x - 2) + 3 = 2x - 17

x = 2

300

3(x + 2) - 8x = x + 9

x = -1/2

400

3(x + 9) + 21x = 24x + 9

No Real Solutions

500

1/2 (2x - 8) - 8x = 3x + 12 - 2x

x = -2

Double Distribution

100

(x + 8)(x - 2)

x² + 6x - 16

200

(c - 3)(c - 5)

c² - 8c + 15

300

(-2x + 2)(x - 3)

-2x² + 8x - 6

400

(2x - 3)(2x + 3)

4x² - 9

500

(x - 3)²

x² - 6x + 9

Combine Like Terms

100

5x + 7x

12x

200

3x + 6 + 7x + 3

10x + 9

300

8 + 4x + 1 - 12 + 5x

9x - 3

400

-11j + 16 - 22j - 27 + 5j

-28j - 11

500

Combine like terms:

9y + 3 - 4x -2y - 3x - 5

7y - 7x - 2

OR

-7x + 7y - 2

Factoring

100

b² + 8 b + 7

(b+7), (b+1)

200

n²-11n+10

(n-10) (n-1)

300

3x³ - 21x² + 4x - 28

(3x² + 4)(x - 7)

400

2b² - 12b + 16

2 (b-4) (b-2)

500

9p²+99p+90

9(p+10) (p+1)