Inequalities 7.AF.4

Graphing

100

When graphing inequalities, which inequality signs have an OPEN circle

> and <

200

When graphing inequalities, which inequality signs have a CLOSED circle?

≤ or ≥

300

Graph the following inequality:

x< 3

open circle, arrow left

400

Draw the graph for 

x>=4

 

closed circle at 4, arrow going to the right

500

Draw the graph for:

-4<=x

Closed circle at -4, arrow right

Distribute

100

Solve the equation. 

6(x-1)=12 

x= 3

200

Solve the equations. 

5+2(x-2)=19 

x=10 

300

Solve the equations. -5(3n+5)=20 

n= -3 

400

Solve the equations. 42-18t =4(t+5) 

t=1 

500

What is the solution of the equation: 

-3(2x-1)=-21 

4

Inequalities

100

Solve the inequalities. 1≥x-9 

10≥x 

200

Solve the inequalities. 5+m+8≥14

m≥1 

300

Solve the inequalities. -3a < -9

a>3

400

Solve the inequalities. d/-11 ≤6 

d≥-66

500

Solve the inequality.  -18≤3p

p≥-6

Multi-Step Inequalities

100

Solve the inequalities. 2y+7>11 

y>2

200

Solve the inequalities. 11-4z<-1

z>3 

300

Solve the inequalities. 3+b/3<7

b<12

400

Solve the inequalities. x/-3 -8≥-3

x≤-15

500

What is the solution of the inequality z/-4+3<15? 

z>-48

Is it a solution?

100

Is 2 a solution to the following inequality? Why?

x+7>=8

Yes, 

9>=8

200

Is 4 a solution to the following inequality? Why?

2x+1<5

No, 9 is not less than 5

300

Is -5 a solution to the following inequality? Why?

-21<3x

Yes, -21 < -15

400

Is 12 a solution to the following inequality? Why?

-x-9<-20

Yes, -21<-20

500

Is -5 a solution to the following inequality? Why?

-32<=7x+3

Yes, -32=-32