EOY Algebra Review

Distribute

100

4(3x²+2x-7)

12x²+8x-28

200

8x²(3x²-2x+5)

24x⁴ - 16x³ + 4x²

300

(x + 5)(x + 3)

(x² +8x + 15)

400

(x - 9)(x + 3)

x² - 6x - 27

500

(4x² +2x)(x² - 3x + 9)

4x⁴ - 12x³ + 36x² +2x³ - 6x² + 18x

4x⁴ - 10x³ -30x² + 18x

Factor

100

x² + 3x - 10

(x + 5)(x - 2)

200

x² - 9x +20

(x-4)(x-5)

300

x² + 12x + 11

400

x² + 5x - 6

500

x³ + 7x² + 12x

x(x+3)(x+4)

Solve Square Roots

100

x² = 25

x = 5 and x = -5

200

x² = 32

x = + sqrt(32) and - sqrt(32)

Bonus

x = +4sqrt(2) and -4sqrt(2)

300

5x² = 80

x = +/- 4

400

(x - 3)² = 81

x = 3 +/- 9

x = 12 or -6

500

(x + 5)² = 20

x = -5 +/- 2(sqrt5)

Systems

100

2x + 4 y = -26

-2x - 2y = 6

(7, -10)

200

4x + y = -1

-x + y = -11

(2, -9)

300

-x + y = 8

-x + 5y = 24

(-4, 4)

400

2x + 2y = 28

12x + 4y = 136

(10, 4)

500

y = -2x - 11

x + y = -1

(-10, 9)

Evaluate Functions

100

f(x) = 2x - 3

What is f(-4)

f(-4) = -11

200

g(x) = x² + 3

What is g(-2)?

g(-2) = 7

300

w(x) = x³ - 5

What is w(-4)?

w(-4) = -69

400

d(x) = 2^x

What is d(4)?

d(4) = 16

500

h(x) = 4^x

What is h(-2)?

h(-2) = 1/16 = 0.0625