ALGEBRA 2 Review

SimplifyingPOLYNOMIALS

100

(5p² - 3) + (2p² - 3p³)

-3p³ + 7p² - 3

200

(3x⁴ - 3x) - (3x - 3x⁴)

6x⁴ - 6x

300

(8k +k² - 6) - (-10k + 7 - 2k²)

3k² + 18k - 13

400

(2xy - y)²

4x² + y² - 4xy

500

(m - 7) (m³ - 2m - 1)

m⁴ - 7m³ - 2m² + 13m - 7

FactoringTRINOMIALS

100

b² - 12b + 32

(b - 8)(b - 4)

200

y² + 10y - 24

(y + 12)(y - 2)

300

x² + 13x + 30

(x + 3)(x +10)

400

c² - 6c - 16

(c + 2)(c - 8)

500

6a² + a - 5

(6a - 5)(a + 1)

SolveQUADRATIC EQUATIONS

100

2x² - 8x - 24 = 0

x₁ = 6

x₂ = -2

200

x² - 9x + 18 = 0

x₁ = 3

x₂ = 6

300

x² + 5x + 4 = 0 

x₁ = -4

x₂ = -1

400

n² - 64 = 0

n₁ = -8

n₂ = 8

500

b² + 56 = 0

b = no real solutions

SolveLogarithms

100

Re-write the equation in logarithmic form. 3^x = 27

What is Log3(27) = x

200

Re-write the expression in logarithmic form. 6^x = 18

What is log6(18) = x

300

Solve the equation for x. 4^x = 16,384

What is 7

400

Solve the equation for x. 11^x = 1331

What is 3

500

Solve the equation for x. 512^x = 8

What is 1/3 or .333

Slope

100

What is the slope of a line that goes through the points (3,2) and (0, -1)

What is 1.

200

What is the slope of a line that passes through the points (-4,-8) and ( 1, -3)?

What is 5/5 or 1

300

What's the slope of the line. y = 3.4 + .25x - 8.9

What is .25

400

Find the equation of a line that passes through the points (0, 4) and (-1, 10).

What is y = -6x + 4 or y = 4 - 6x

500

Find the equation of a line parallel to the line y = 3x + 7 and passes through the point (0 ,12).

What is y = 3x + 12