Semester 1 Review

Factoring

100

Factor 3x - 21

3(x - 7)

200

Factor 3x² - 6x + 7x - 14

(3x + 7)( 3x - 2)

300

Factor 9x² - 4

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

400

Factor x² + 4x + 3

(x + 3)(x + 1)

500

Factor 3x² - 10x - 8

(3x + 2)(x - 4)

Polynomial Operations

100

Simplify (2x² - 4x + 11) + (-x² - 4x - 5)

x² - 8x + 6

200

Simplify (-3x² + x - 1) - (2x² + x - 4)

-5x² + 3

300

Simplify (2x - 5)(x + 7)

2x² + 9x - 35

400

Simplify (6x³ - 2x² + 10x)/2x

3x² - x + 5

500

Simplify (4x² + 3x - 2) - (x + 5)(x - 1)

3x² - x + 3

Transformations

100

What is the equation for f(x) = x² that has moved left 2

f(x) = (x + 2)²

200

What is the equation for f(x) = |x| that has been shifted down 4

f(x) = |x| - 4

300

What is the equation for f(x) = log x that has been shifted right 3 and up 1

f(x) = log (x - 3) + 1

400

Is this equation a shrink or a stretch? f(x) = 1/2(x + 1)² - 5

Shrink

500

List all transformations represented in this equation f(x) = -5(x - 2)³ + 4

reflection over x-axis, stretch, right 2, up 4

Solving Quadratics

100

Solve by graphing 6x² - 54x = 0

0, 9

200

Solve by taking square roots 3x² - 4 = 71

5, -5

300

Solve by factoring x² - 5x - 6 = 0

6, -1

400

Solve with the Quadratic Formula: 2x² - 16x - 40 = 0

-2, 10

500

Solve by using the Quadratic Formula: 3x² + 6x - 5 = 0

-1 ± 2√6/3

Complex Numbers

100

Simplify √-25

5i, -5i

200

Simplify √-50

5i√2, -5i√2

300

Simplify i⁴⁵

i

400

Simplify (3 + 4i) - (2 - 3i)

1 + 7i

500

Simplify (2 + 5i)(3 - 4i)

26 + 7i