Solving Equations
Multi-Step Inequalities
Compound Inequalities
Absolute Value
Isolate the variable /Word Problems
100
Solve: n - 5 = n - 3

No Solution

100
9x – 6 < 3
What is x<1
100

Write a compound inequality for all real numbers that are greater than –8 and less than 8

-8<x<8

100
Solve |x|+10=1
What is no solution
100
Solve for P  in A = 2B + Ph

P = (A-2B)/ h

200

Solve : 4x + 9 = 2x - 6

x = -15/2 or x = - 7 1/2

200
20+4x>2(x+20)
What is x>10
200

Solve -2<-2x-4<8

What is -1>x>-6


-6<x<-1

200
Solve 6|n|-2=10
What is n=2 or n=-2
200

Write in function form: 2x + 3y = 7

y = (7-2x)/3

300

Solve: 4(x+6) - 11 = 25

x=3

300
4(-x+3)>-4x+6
What is all real numbers
300

Solve -2<4x-10<6

2<x<4

300

Solve |9x|=27

What is x=-3,3

300

John wants to save at least $750 for an upcoming vacation.  He has $300 already saved and saves an additional $25 each week.  Figure out the number of weeks it will take John to save enough for his vacation.

300 + 25x >= 750

25x >= 450

x >=18

He needs to save for at least 18 weeks

400

Solve: 2(x-5) = 5(x+5) -2 

x = -11

400
10x-10-7x>3x-2
What is no solution
400

Solve 

2x – 2 < –12 OR 2x + 3 > 7

x <-5 OR x > 2

400

2 +|9-k|=13

What is k= -2,20

400

Two numbers have a sum of 39. The first number is 3 more than 5 times the second. What are the two numbers?

5x + 3 + x = 39

6x + 3 = 39

6x = 36

x = 6

The numbers are 6 and 33

500

Solve the equation: 

2(4x-6) = -10 +8x - 2

All Real Numbers/ Infinite solutions

500
17-(4x-2)<2(x+3)
What is x>13/6
500

Solve 12h-3>=15h or 5>-0.2h+10

h < -1 OR h>25

500

10|4x-2|-7=93

x = -2, 3

500

Three numbers have a sum of 89.  The first number is three times the third number.  The second number is five more than the first number.  Write and solve an equation to find the three numbers.

Equation: 3x + 3x + 5 + x = 89


x = 12,36,41

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