Algebra Final Review

Unit 1: Expressions

100

10a - 14 - 16 + 20a

30a - 30

200

x² * x³

x⁵

300

(5x² + 2x + 3) + (x² + 4x + 5)

6x² + 6x + 8

400

(3y² + 2y + 3) - (y² + 4y - 5)

2y² - 2y + 8

500

(4m - 3)(5m + 2)

20m² - 7m -6

Unit 2: Equations

100

3x + 5 = 26

x = 7

200

5x + 5 - x = 21

x = 4

300

(y / 3) - 5 = 7

y = 36

400

8x - 66 = 2(3x - 8)

x = 25

500

10 + 3y/4 = 43

y = 44

Unit 3: Systems

100

Find the value of y when x = 10

y = 500x + 1000

y = 6000

200

Give the y-intercept and x-intercept of:

3x + 8y = 24

y-intercept: (0,3)

x-intercept: (8,0)

300

Solve for x and y:

y = -x + 4

y = 2x - 5

x = 3

y = 1

(3,1)

400

Solve for x and y:

y = 7x - 45

y = 2x

x = 9

y = 18

(9,18)

500

Solve for x and y:

3x + 4y =  -7

-3x - 8y = -1

x = -5

y = 2

(-5,2)

Unit 4: Functions

100

Given f(x) = 4x + 2

What is f(2)?

f(2) = 10

200

Given g(x) = -3x + 2

What is g(2) AND g(5)?

g(2) = -4

g(5) = -13

300

Given k(x) = -2x - 4

Solve for x when k(x) = 10

x = -7

400

Is this a function?

(1,2) (3,5) (4,4) (1,2) (5,6)

Yes!

500

In the function f(x) = 3x + 5

Give the y-intercept, domain and range

y-intercept = 5 or (0,5)

Domain: -∞ < x < ∞ or "all real numbers"

Range: -∞ < y < ∞ or "all real numbers"