Course 3- Writing and Solving one-step, two-step, and multi-step inequalities- Units 5-4 - 5-7

Solving One-Step Inequalities

100

Solve the inequality and graph it on a number line.

x+5<7

 

X < 2

200

Solve the inequality and graph it on a number line. 

-9<=x-4

-5 < = X

300

Solve the inequality and graph it on a number line. 

6x> -36

X > -6

400

Solve the inequality and graph it on a number line. 

-1/3x>=-2

X <= 6

500

Solve the inequality and graph it on a number line. 

8<-2/3x

X < -12

Solving Two-Step Inequalities

100

Solve the inequality.

5x-8>=-27

X >= 3 4/5

200

Solve the inequality.

-8x-17<11

X> -3 1/2

300

Solve the inequality.

23> -1/2x+1

X > -44

400

Solve the inequality.

-3 < 4/5x+5

X > -10

500

Solve the inequality.

-9x-(-8)> -1

X < 1

Solving Multi-Step Inequalities

100

Solve the inequality.

4(x-5)> -12

x > 2

200

Solve the inequality.

3x+5x-4>=2x-7

x >= -1/2

300

Solve the inequality.

7x-4<=3(2x+1)-4

x <=3

400

x >Solve the inequality.

5(x+3)-8>3x+7

x > 0

500

Solve the inequality.

9x-7(x-1)<=3x+8

x >=-1

Writing Inequalities

100

Write the number sentence as an inequality.

A number increased by 5 is greater than or equal to 7.  

x + 5 >= 7

200

Write the number sentence as an inequality. 

Twice a number decreased by 1 is less than 5. 

2x - 1 < 5

300

Write the number sentence as an inequality. 

Negative 7 is no more than half of a number increased by 9. 

-7 <= 1/2(x + 9)

400

Write the number sentence as an inequality. 

Three times a number is at least 7 increased by twice that same number. 

3x >= 7 + 2x 

500

Write the number sentence as an inequality. 

Three times the difference of a number and 4 is at most four times that number increased by 9. 

3(x-4) <= 4X + 9