Algebra I Semester 2 Review

Equations

100

Solve: -9 - x = x + 1

x = -5

200

Solve: 5(x-2) = 11 - 2x

x = 3

300

3(2 + 6x) = 6(1 + 3x)

All real numbers/infinitely-many solutions.

400

-2/3 y + 5 = 9/2

y = 3/4

500

Solve 5-2(x+4)-3=10

x=-8

Factoring

100

Factor x² + 5x + 4

(x+4)(x+1)

200

Factor x² - 9x + 20

(x-5)(x-4)

300

Factor 3x² + 6x

3x(x+2)

400

Factor 3x² + 7x + 2

(3x+1)(x+2)

500

Factor COMPLETELY 10x² + 32x + 6

2(5x + 1)(x + 3)

Absolute Value

100

Solve: |2x - 1| = 5

x = 3 or x = -2

200

Solve: -2|x+4| = 10

No solution.

300

Solve: -4|x - 9| + 9 = 5

x = 10 and 8

400

Solve 2|x - 4| + 8 = 8

x=4

500

Solve: 3|2x - 5| = 12

x= 9/2 and 1/2

Quadratic Equations

100

Solve 4x² + 5 = 105

x = 5 or x = -5

200

Solve n² - 8x + 12 = 0

n = 2 or n = 6

300

Solve 4x² + 10x = 0

x=0 and -5/2

400

Solve 3x² - 5x = 3

x = [5 + sqrt(61)]/ 6 

[5 - sqrt(61)]/ 6

500

Solve 3x² - 11x - 20 = 0

x = -4/3 or x = 5

More Quadratics

100

What is the y-intercept of the graph

y = -4x² - 18x -32

(0, -32)

200

Multiply: (2x + 5)(-5x - 2)

-10x² - 29x - 10

300

Subtract: (3x² - 2x - 1) - (5x² - 3x + 9)

-2x² + x - 10

400

What is the vertex of the graph

y=-3(x + 4)² - 12

(-4, -12)

500

What is the axis of symmetry of the graph 

y=2x²-8x+10

x = 2