Algebra 1 Module 6 Review

One-Step Inequalities

100

Solving Inequalities

Solve for x.

2x > 8

What is:

x > 4

200

Solve the Inequality 

X + 4 < -88

What is:

X < -92

300

solve the Inequality

z/30 > 70

z > 2,100

400

solve the Inequality

4x < 14

What is:

x < 3.5

500

Cole packs one printer and some reams of paper into each box for delivery to an office. Each ream of paper weighs 5 pounds and one printer weighs 12.5 pounds. If the maximum capacity of a box is 50 pounds, write an inequality that represents the number of reams of paper ‘n’  that Cole can safely pack in each box?

What is:

5n+ 12.5<or = 50

Two-Step Inequalities

100

Solving Inequalities

Solve for x. 

4x + 3 < 7

What is: 

x < 1

200

Solving Inequalities

Solve for x.

2x - 5 > - 11

What is: 

x > -3

300

Solving Inequalities

Solve for x. 

9x + 1 > -71

What is: 

x > -8

400

Solve for v. 

v/3 + 14 < 30

v < 48

500

Solve this inequality:

11 < 2 + 3x

x > 3

Compound Inequalities

100

Solve the following compound inequality. 

w+2 < 5   OR    w-1>6

w<3   OR  w>7

200

 Solve the inequality

x+3<7 and 2x+3>1

x < 4 AND x >-1

4 > x >-1

300

Solve and graph the following compound inequality:

3x + 2 < 5     OR     -4x + 5 ≤ -7

x<1  OR  x≥3

400

Solve and graph the compound inequality.

-3≤ 2x+3 <5

-3 ≤ x < 1

500

Solve the  inequality:

1/2 r +3<7/4 

r<-5/2

True/false statements

100

When you graph the solution to this inequality, you use a closed circle.

6t - 12 ≥ 12

True. 

Closed circles are for ≤ or ≥. Open circles are for < or >. 

200

When you graph the solution to this inequality, you use a closed circle.

4x + 2 < 9

False.  

You use an open circle with > and <.

300

A closed circle is used to represent the inequalities < and > .

False

400

x = -3 is a solution to -4 > x.

False

500

x = 5 is a solution to 3 + x ≤ 8

TRUE

Graphing inequalities

100

Graph the inequality. 

x ≥ -3

Closed circle at -3 and shaded to the right.

200

Graph the inequality 

x < -5

Open circle at -5 and shaded to the left.

300

Graph the inequality. 

y>-x+5

y-intercept of (0,5)

slope down 1 then right 1 (negative slope)

dotted line

shade above the line (to the right of the line)

400

Graph the inequality.

2y<5x+4

y-intercept of (0,2)

slope 5 up and 2 right

dotted line

shade below the line (to the right of the line)

500

Graph the inequality.

3x -y > 1

y intercept of (0,-1)

slope of 3 up and 1 right

dotted line

shade below (to the right of the line)