Free Printable Unit 2 Study Guide

1.

Which of the graphs represents the linear inequality $y>\frac{1}{2}x+3$ ?

a)

b)

c)

d)

2.

Which of the graphs represents the linear inequality $y\le-x-4$ ?

a)

b)

c)

d)

3.

Which of the following linear inequalities represents the graph?

a)

$y\ge3x-5$

b)

$y\ge\frac{1}{3}x-5$

c)

$y\le-\frac{1}{3}x-5$

d)

$y>\frac{1}{3}x+5$

4.

Which of the following linear inequalities represents the graph?

a)

$x\ge2$

b)

$x\ge-2$

c)

$y\ge-2$

d)

$y>-2$

5.

Which of the following linear inequalities represents the graph?

a)

$y\ge3x$

b)

$y>3x$

c)

$y<3x$

d)

$y>\frac{1}{3}x$

6.

Which of the following linear inequalities represents the graph?

a)

$y\ge\frac{1}{4}x$

b)

$y\le4x-2$

c)

$y<\frac{1}{4}x+2$

d)

$y\le\frac{1}{4}x+2$

7.

When graphing a linear inequality, < and > signs would require you to draw...

a)

a solid line

b)

a dotted line

8.

When graphing a linear inequality, $\le$ and $\ge$ signs would require you to draw...

a)

a solid line

b)

a dotted line

9.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(-10, -10)

c)

(-1, 5)

d)

(5, 20)

10.

The dance committee hired a DJ for the fall dance. The DJ charges $125 per hour in addition to $55 for an assistant. The committee wants to keep the total cost under $600. Which inequality represents the maximum amount of hours the DJ will play at the dance?

a)

125x + 55 ≤ 600

b)

125x + 55 ≥ 600

c)

125x + 55 > 600

d)

125x + 55 < 600

11.

The Bombetta Company wants to send a team of three representatives to a conference. Their budget is $700.00 plus $125.00 per day for expenses. If their total budget cannot exceed $1,400.00, which of the following inequalities expresses this situation?

a)

125x + 700 ≥1,400

b)

700 + 125x ≤1,400

c)

700x + 125 ≤1,400

d)

125x - 700 ≤ 1,400

12.

The Bombetta Company wants to send a team of three representatives to a conference. Their budget is $700.00 plus $125.00 per day for expenses. If their total budget cannot exceed $1,400.00, which of the following inequalities expresses this situation?

a)

125x + 700 ≥1,400

b)

700 + 125x ≤1,400

c)

700x + 125 ≤1,400

d)

125x - 700 ≤ 1,400

13.

At the Big Bear video rental store, blank CDs cost $1.50 each and blank DVDs cost $3.25 each. Which of the following statements best describes the number of CDs (c) and DVDs (d) that can be purchased for less than $65.00?

a)

150c + 325d < 6,500

b)

325c + 150d <6,500

c)

150c + 325d ≤ 6,500

d)

325c + 150d ≤ 6,500

14.

A donut shop charges $0.70 for each donut and $0.30 for a carryout box. Shirley has $5.00 to spend. She needs to determine the most donuts (x) she can buy when she only puts them in one carryout box. Which equation can be used to answer this problem?

a)

70x + 30 < 500

b)

30x + 70 < 500

c)

70x + 30 ≤500

d)

30x + 70 ≤ 500

15.

a)

greater than

b)

less than

c)

less than or equal to

d)

greater than or equal to

16.

a)

greater than

b)

less than

c)

less than or equal to

d)

greater than or equal to

17.

a)

greater than

b)

less than

c)

less than or equal to

d)

greater than or equal to

18.

a)

greater than

b)

less than

c)

less than or equal to

d)

greater than or equal to

19.

JoAnn likes her job as a baby-sitter, but it pays only $3 per hour. She has been offered a job as a tutor that pays $6 per hour. Because of school, her parents only allow her to work a maximum of 15 hours per week. How many hours can JoAnn tutor and baby-sit and still make at least $66 per week? How much does she make?

a)

b + t < 15
3b + 6t > 66

b)

b + t > 15
3b + 6t < 66

c)

3b + 6t > 15
b + t < 66

d)

3b + 6t < 15
b + t < 66

20.

Cole is doing a basketball challenge for charity. In order to win money for the charity, he needs to score at least 20 points in less than 10 shots. If x is the number of 2-point shots, and y is the number of three point shots, which inequalities below represent the situation?

a)

x + y < 10

2x + 3y ≥ 20

b)

x + y ≤ 10

2x + 3y ≥ 20

c)

x + y ≤ 10

2x + 3y > 20

d)

x + y < 10

2x + 3y > 20

21.

Kate is selling bracelets and earrings on Etsy to make money for summer vacation. The bracelets (x) cost $2 and earrings (y) cost $3. She needs to make at least $100, but can only make up to 40 pieces of jewelry. Which inequalities represent this situation?

a)

2x + 3y > 100

x + y ≤ 40

b)

100x + 2y > 3

x + y ≤ 40

c)

100x + 40y > 100

3x + 2y ≤ 40

d)

3x + 2y > 100

x + y ≤ 40

Unit 2 Study Guide

Total questions: 21

Worksheet time: 1hrs 17mins

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