study Guide

Mutivariable inequalities

100

A=BCD solve for C 

= A/BD=C 

200

AB + CD=E  Solve for c 

C= E-D / AB 

300

4(2x+6)>8(2x-2) 

5<x 

400

-18(2x-10)+18<6x+84 

42x/42 >x 

500

3y+7<2y 

y>-14 

Compound Inequalities

100

-8x-22>10 

x<-4 

200

16x-14>18 

x<2 

300

-12<x-5<-6 

(-7,-1)

400

y-3>5 

y>8 

500

y+3<-2

y<-5 

Absolute Value inequalities

100

|3x+12|>9 

x<-1 

200

2|x-4|-7<1 

x<6

300

3x-12>6 

3x>18 

400

3x-12<-16 

3x<6 

500

x+2>-3 

x>-5 

Word Problems

100

A large number is twice the small number and four. The sum of these numbers is 24 

3x/3 = 20/3 

200

A rectangle has a length ten inches less than 3 times its width. If the perimeter is 70 times its width what are the dimension?

8x=90 

300

The sum of two consecutive numbers 71. Find the numbers.

x=35

400

The sum of two consecutive odd numbers is 44.Find the numbers 

x=21

500

The sum of two consecutive even numbers is 26.find the numbers. 

x=12 

Relations an Functions

100

Domain- (-7,0,4,5 ) 

Range- ( -7,0,4,5) 

Is it a Function?

Function- Yes 

200

Domain- -8,-5,-2,0

Range- 1,4,5,6 

Function- ? 

Function- yes 

300

Domain- (-5,0,2,7)

Range-   (-1,0,4)

Function- ?

Function- no 

400

Domain- (0,2,3) 

Range-(-2,-1,1,2)

Function- ?

Function- No 

500

Domain- (0,2,4,5)

Range-(-2,-1,1,2)

Function ?

Functions= Yes