Midterm Review

Inequalities

100

3<x+2<12

1<x<10

200

2x+3<4 or 5-3x<-16

x<1/2 or x>7

300

|2x-7|>15

x<-4 or x>11

400

x² - 3x - 10 < 0

-2 < x < 5

Rational Expressions

100

2x/(x-4) - 8/(x-4)

2

200

(1-x²)/(x²+2x+1) * (x²+x)/2x²

1-x/2x

300

(x²-7x+12)/(x²-16) divided by (24-8x)/(4x²+16x)

-x/2

400

x/x+5 - 50/x²-25

(x-10)/(x-5)

Polynomials and Factoring

100

Subtract 2x²-3x+5 from 5x²+x-12

3x²+4x-17

200

Multiply 2(x+5)(3x-4)

6x²+22x-40

300

Factor x³+8

(x+2)(x²-2x+4)

400

Factor completely: x⁴-16

(x²+4)(x+2)(x-2)

Equations

100

(x+2)/19 = x/15

x=7.5

200

x(x+4) = 12

x=2 x=-6

300

2/x - 3/5 = x/5

x=-5 x=2

400

x/(x+3) - 2/x = 9/(x²+3x)

x=5