Final Review

Factoring

100

x²+17x+42

(x+14)(x+3)

200

m²-m-42

(x+6)(x-7)

300

t²+8t+12

(x+6)(x+2)

400

4h²+8h-5

(2x+5)(2x-1)

500

5x²+34x+24

(x+6)(5x+4)

Simplify the Express

100

(x+8)(x-2)

x²+6x-16

200

(6x+3)(2x-y)

12x²-6xy+6x-3y

300

(3x-8)(x²-2x-4)

3x³-14x²+4x+32

400

(x-4)(x+6)(x+2)

x³+4x²-20x-48

500

(2x²+5x-6)(6x²-5x-3)

12x⁴+20x³-67x²+15x+18

Sums & Differences

100

(2h²-5h)+(7h-3h²)

-1h²+2h

200

(2x+3x²)-(7-8x²)

11x²+2x-7

300

(4x+2y-6z)+(5y-2z+7x)+(-9z-2x-3y)

9x+4y-17z

400

(4rxt-8r²x+x²)-(6rx²+5rxt-2x²)

-rtx-8r²x+3x²-6rx²

500

(3c³-c+11)-(c²+2c+8)

3c3-c²+c-3

Substitution & Elimination

100

Solve for both x and y

y=5x+1

4x+y=10

(1,6)

200

Solve for both x and y

2x+y=3

4x+4y=8

(1,1)

300

Solve for both x and y

5m-2p = 24

3m+2p=24

(6,3)

400

Solve for both x and y

-x+y=1

x+y=11

(5,6)

500

Solve for both x and y

8x+3y=-7

7x+2y=-3

(1,-5)

Square Roots

100

square root of 144

12 and -12

200

square root of -36

6i and -6i

300

square root of 245

7 square root 5 and -7 square root 5

400

square root w¹³x⁵z⁸

w⁶x²z⁴ square root wx

500

square root 64/49

8/7 and -8/7