Free Printable Test 2 Inequalities/ Final Review Algebra 1

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)

$y\ge3$

b)

$x\ge3$

c)

$y\le3$

d)

$y<3$

5.

Which of the following linear inequalities represents the graph?

a)

$x\ge2$

b)

$x\ge-2$

c)

$y\ge-2$

d)

$y>-2$

6.

Which of the following linear inequalities represents the graph?

a)

$y\ge3x$

b)

$y>3x$

c)

$y<3x$

d)

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

7.

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)

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

8.

Which of the following linear inequalities represents the graph?

a)

$y>-\frac{4}{5}x-1$

b)

$y\le\frac{4}{5}x+1$

c)

$y<-\frac{4}{5}x-1$

d)

$y\le-\frac{4}{5}x+1$

9.

How can I tell if the graph of an inequality will have a solid line?

a)

It has just an equal sign.

b)

The symbol is greater than.

c)

The symbol has "or equal to."

d)

You just guess.

10.

Do I need to flip my sign?
2x -3y ≥ 12

a)

Yes

b)

No

11.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(-10, -10)

c)

(-1, 5)

d)

(5, 20)

12.

Are the points on the line part of the solution set or not?

a)

Yes, they are part of the solution set

b)

No, they are NOT part of the solution set

13.

Select the graph for y ≥ -3.

a)

A

b)

B

c)

C

d)

D

14.

Write the linear inequality in standard form for this situation: In order to raise money to attend upcoming competitions, the Math Pentathalon team is selling apple cider and hot chocolate. They hope to make at least $240 by selling hot chocolate for $1 a glass and hot apple cider for $2 a glass.

a)

x + 2y < 240

b)

x + 2y > 240

c)

x + 2y ≤ 240

d)

x + 2y ≥ 240

15.

Which point is not a solution?

a)

(1, 3)

b)

(-1, 2)

c)

(3, -2)

d)

(5, 0)

16.

Which point is a solution?

a)

(0, 6)

b)

(-3, 4)

c)

(1, 0)

d)

(-4, 3)

17.

Match, the solutions is the purple area

a)

y > -4/5x - 1 and y ≤ 2/3x + 3

b)

y ≥ -4/5x - 1 and y ≤ 2/3x + 3

c)

y < -4/5x - 1 and y < 2/3x + 3

d)

y < -4/5x - 1 and y ≥ 2/3x + 3

18.

Match

a)

y ≥ -x - 1 and y < x + 4

b)

y < -x - 1 and y > x + 4

c)

y > -x - 1 and y ≥ x + 4

d)

y < -x - 1 and y ≥ x + 4

19.

The members of a new band want to spend no more than $75 for at least 60 fliers to advertise their upcoming concert. The cost color fliers is $1.50 each, the cost of black and white fliers is $0.75 each. Which of the following combinations is a reasonable solution?

a)

26 color, 30 black and white

b)

30 color, 35 black and white

c)

60 color

d)

30 color, 50 black and white

20.

Graph each system of linear inequalities and describe the solutions.
y > x + 1
y < x - 4

a)

Between the graphs

b)

above the graph y > x + 1

c)

below the graph y < x - 4

d)

No Solution

21.

Jasmine is helping her mom with a small vegetable patch. Tomato plants are selling for $4, and pepper plants are selling for $3. They don't want to spend more than $60.

Which combination of tomato plants and pepper plants will they be able to purchase?

a)

10 tomato plants and 9 pepper plants

b)

5 tomato plants and 15 pepper plants

c)

12 tomato plants and 6 pepper plants

d)

6 tomato plants and 11 pepper plants

22.

Caitlin won a bag full of money! She has 49 bills in all. She counts $1,430. There are $20 dollar bills and $50 dollar bills. How many of each bill does Caitlin have?

WRITE a system where T = # of $20 & F = # of $50.

a)

T + F = 1430
20T + 50F = 49

b)

T+ F = 49
10T + 5F = 1430

c)

T + F = 49
20T + 50F = 1430

d)

T + F = 49
T + F = 1430

23.

Write the system of inequalities:
Carlos works at a movie theater selling tickets. The theater has 300 seats and charges $7.50 for adults and $5.50 for children. The theater expects to make at least $2000 for each showing

a)

x + y ≤ 300
7.5x + 5.5y ≥ 2000

b)

x + y < 300
7.5x + 5.5y ≥ 2000

c)

x + y ≤ 300
7.5x + 5.5y ≤ 2000

d)

x + y > 2000
7.5x + 5.5y ≤ 300

24.

Homer sells tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. He sold 21 tickets total. How many of each type of ticket were sold?

a)

10 adults, 11 children

b)

12 adults , 9 children

c)

11 adults, 10 children

d)

9 adults, 12 children

25.

David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined.

a)

35 nachos, 52 sodas

b)

18 nachos, 69 sodas

c)

52 nachos, 35 sodas

d)

61 nachos, 26 sodas

26.

Jonah is going to the store to buy candles. Small candles cost $3.50, and large candles cost $5.00. He needs to buy at least 20 candles and cannot spend more than $80.

Write a system of linear inequalities that represents the situation.

a)

$x+y\le20$

$3.5x+5y\ge80$

b)

$xy\ge20$
$3.5+5y\le80$

c)

$x-y\ge20$
$3.5x+5y\le80$

d)

$x+y\ge20$
$3.5x+5y\le80$

27.

Gabriela is the manager of a print shop. She needs to schedule employees to work no more than 300 person-hours per week. She has one 20 hour a week part-time employee. Each full-time employee works 40 hours per week. Which inequality will determine f, the number of full-time employees Gabriela can schedule to remain under the 300 person-hour per week limit?

a)

$20\ +\ 40f\ \le\ 300$

b)

$40\ +\ 20f\ \ge\ 300$

c)

$20\ +\ 40f\ \ge\ 300$

d)

$20f\ +\ 40\ <\ 300$

28.

Colin needs to save at least $200 for homecoming. He works 2 jobs earning $9/hour at Wawa and $25/hour mowing lawns. He only has time to work 16 hours before homecoming.

a)

x + y ≥ 25

x + y ≤ 9

b)

100x + 25 y ≤ 200

2x + 9y ≤ 16

c)

x + y ≥ 200

9x + 25y ≤ 16

d)

9x + 25y ≥ 200

x + y ≤ 16

29.

Which system of inequalities matches the graph?

a)

y > 2x - 4
y < 2

b)

y < 2x - 4
y < 2

c)

y > 2x - 4
y < 2

d)

y < 2x - 4
y < -2

30.

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

Test 2 Inequalities/ Final Review Algebra 1

Total questions: 30

Worksheet time: 2hrs 9mins

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