Kae'dyn & King Alg 1 Final Exam

Polynomial Operations

100

simplify (3x²+4x)+(2x²-x)

5x²+3x

200

simplify (5x²-3x+1)-(2x²+x-4)

3x²-4x+5

300

multiply (x+3)(x+4)

x²+7x+12

400

multiply (2x-5)(x+3)

2x²+5-15

500

divide (6x²+12x²)/6x

x²+2x

Factoring Polynomials

100

x²+7x+12

(x+3)(x+4)

200

factor x²-9

(x+3)(x+3)

300

x²+10x+25

(x+5)²

400

2x²+8x

2x(x+4)

500

factor x³-4x

x(x-2)(x+2)

Quadratics

100

solve x²=49

x=7 or x=-7

200

x²-16=0

x=4or x=-4

300

find vertex y=(x-2)²+1

(2,1)

400

solve x²+5x+6=0

x=-2 or x=-2

500

solve 2x²-7x+3=0

x=3 or x=1/2

Exponents & Radicals

100

simplify 2³ x 2²

32

200

\sqrt{ } 64

8

300

3\sqrt{ }12

6\sqrt{ }3

400

(x³)²

x⁶

500

\sqrt{ }50+\sqrt{ }8

5\sqrt{ }2+2\sqrt{ }2=7\sqrt{ }2

Inequalities

100

x+5>9

x>4

200

2x-3<11

x<7

300

graph x>=4

closed circle at 4 shading right

400

-3x+6<= 15

x>=-3

500

solve and graph 4x-7>13

x>5 ,open circle at 5 shade right