Algebra 1 Review

Polynomials & Factoring

100

Divide 12x⁵ by 4³

3x²

200

Solve: (16x + 14) - (3x² + X - 9)

-3x² + 15x + 23

300

Solve: (4k - 3)²

16k² - 24k + 9

400

Factor This Equation: 2x² - 6x - 56

2(x - 7)(x + 4)

500

Factor: 4x² - 5x - 6

4x(x - 2) + 3(x - 2) or (x - 2)(4x + 3)

Quadratic Functions

100

Solve: S² - 2s - 35= 0

(S+5)(S-7)=0

200

Solve for X: X² = 36

X= ± 6

300

Solve: X² - 256=0

X= ± 16

400

X² - 4x +4= 9

X=5 or X=-1

500

X²+6X+8=0

X={-4,-2}

Linear Equations

100

How many solutions does |x + 2| = 9 have?

2 solutions

200

How many solutions does |5x - 1|= -2 have?

No solution

300

How many solutions does 3|X - 1|-2 =7

One solution

400

Solve: -5|6a + 2|=-15

A= 1/6 or A= -5/6

500

3(x+2)-8x=x+9

X= -3/6

Absolute Value Equations

100

Solve for x: |x+2|=4 

X=2 or X=-6

200

Solve: |9-2x|=3 

X=3 or X=6 

300

|5-2x|=11

X=-3 or X=8

400

How many solutions does this equation have: |2x+3|=15 

2 Solutions

500

Solve: |X-4|=7 

X=11 or X=-3

Systems Of Linear Equations

100

Solve by using Elimination

3x + 4y=10

2x+3y=7 

X=2

Y=1

200

Solve for X and Y:
2x+3y=8

5x-3y=-1

X=1

Y=2

(1,2)

300

Solve:

2x+5y=19

1x-2y=-4

Y=3

X=2

(3,2)

400

7x-5y=1

8x+4y=40

X=3

Y=4

(3,4)

500

3x+5y=31

2x+3y=20

X=7

Y=2

(7,2)