Algebra Unit Review

Adding Polynomials

100

Simplify

(2x² + 3) + (4x² + 4)

6x² + 7

200

Simplify

(x³ + 5x - 7) + (5x² - 10 - 5x³)

-4x³ + 5x² + 5x -17

300

Simplify

(10a² - a³) - (6a³ - 3a²)

-7a³ + 13a²

400

Simplify

(-6n - 8n⁵ + 12) - (9n⁵ - n³ + 6n)

-17n⁵ + n³ - 12n + 12

Multiplying Polynomials

100

Expand

2k (k + 11)

2k² + 22k

200

Expand

(x + 1) (x + 5)

x² + 6x + 5

300

Expand

(b - 8) (b + 2)

b² - 6b - 16

400

Expand

(2p - 2) (p - 11)

2p² - 24p + 22

Factoring

100

Factor

x² + 8x + 7

(x + 7) (x + 1)

200

Factor

d² - d - 90

(d - 10) (d + 9)

300

Solve

n² - 6n + 8 = 0

n = 2  

n = 4

400

Solve

y² + 2y + 8 = 23

y = -5

y = 3

Quadratic Formula

100

What term represents the b in the Quadratic Formula

x or bx

200

What is the quadratic formula

x = [-b +/- sqrt(b² - 4ac)] / 2a

300

Write the quadratic formula for

x² + 4x + 3

x = [-4 +/- sqrt(4² - 4(1)(3))] / 2(1)

400

Write the quadratic formula for

6x² - 5x - 1

x = [5 +/- sqrt((-5)² - 4(6)(-1))] / 2(6)