Chapter 5 Review

Chapter 5 Review

Solving Inequalities with addition, subtraction, multiplication and division

1. 3h-7<14

2. 18< -2x + 8

Multiple Choice

-9x + 7 ≥ 25

• x ≥ -3.6

• x ≤ 2

• x ≥ -2

• x ≤ -2

Multiple Choice

-9x + 7 ≥ 25

• x ≥ -3.6

• x ≤ 2

• x ≥ -2

• x ≤ -2

Word problems and Inequalities

The drama club collected $160 from ticket sales for the spring play. They need to collect at least $400 to pay for new lighting for the stage. If tickets sett for $3 each, how many more tickets need to be sold?

Multiple Choice

Joan needed $100 to buy a graphing calculator for her math class. Her neighbor will pay her $5 per hour to babysit and her Father gave her $10 for mowing the lawn. Which inequality represents the minimum amount of hours she will need to babysit in order for her to buy her calculator?

• 5x + 10 ≥ 100
• 5x - 100 ≥ 10
• 10x + 5 ≤ 100
• 5x + 10 > 100

Solving compound Inequalities

1. -4 < 2t - 6 < 8

2. 3x+2<11 or 5x-8>22

Multiple Choice

What inequality is graphed?

• x > 2 and x ≤ −3

• x > 2 and x < −3

• x > 2 or x ≤ −3

• x > 2 or x < −3

Multiple Choice

2 < 3x - 12 < 5

• $\frac{14}{3}\ <\ x\ <\ \frac{17}{3}$

• $\frac{3}{14}\ <\ x\ <\ \frac{3}{17}$
  

• $4\ <\ x\ <3$
  

• $42\ <\ x\ <\ 51$
  

Inequalities involving Absolute Value

1. |x-4| < 9

Multiple Choice

Solve.

|3c - 4| < 12

• -2 2/3 < c < 5 1/3

• c < -5 1/3 or c > 2 2/3

• c < 5 1/3 or c > -2 2/3

• -5 1/3 < c < 2 2/3

Graphing inequalities in two variables

1. y < x - 3

2. 5x - 2y < 10

Multiple Choice

Which of the following inequalities matches the graph?

• y < -4x - 1

• y > -4x - 1

• y ≤ -4x - 1

• y ≥ -4x - 1

Multiple Choice

Which ordered pair IS a solution of the inequality shown in the graph?

• (1, 0)

• (2, -2)

• (-1, -1)

• (-1, 3)

Multiple Choice

Choose the correct inequality for this graph.

• $y<\frac{3}{2}x+1$

• $y\le\frac{3}{2}x+1$

• $y<\frac{2}{3}x+1$

• $y\le\frac{2}{3}x+1$