Algebra 2: Chapter 1

Compound and Absolute Value Inequalities

100

33ge4x-3ge9

3lexle9

200

-5x+7gt47 or -5x+7le-43

x<-8 or xge10

300

-9ge-3x-3gt-24

2lex<7

400

abs( x-4)le12

-8lexle16

500

abs( x+4) > 9

x<-13 or x>5

Real Numbers

100

Is -4 rational or irrational?

Rational

200

Give an example of an irrational number.

Any number that can't be written as a fraction. Multiple answers.

300

Is pi rational or irrational?

Irrational

400

Give an example of a rational number that is NOT an integer.

Any fraction.

500

What is the difference between a rational and irrational number.

Rational can be written as a fraction. 

Solving Equations

100

Solve for X

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

6

200

4(-x+1)-x+4=-37

9

300

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

-5

400

Simplify the expression.

(x-1)²-4(x-1)-2

x²-6x+3

500

Simplify the expression

2(x+3)²+3(x+3)-5

2x²+15x+22

Absolute Value Equations

100

2abs(x-6)=8

x=10 x=2

200

3abs(x-2)=-6

NO SOLUTION

300

5-2abs(x-3)=3

x=4 and x=2

400

abs(5x-6)+3=4x

x=3 and x=1

500

abs(2x+3)-7=3x

x=-2

Inequalities

100

6x-2le2x-10

xle-2

200

2x-7ge-9x-1

xge6/11

300

-16le-2x

xle8

400

6+5(-8x+9)le-7x+7+3x

bge11/9

500

-2-(6y+9)le-8y-8+3

hle3/7