Free Printable Unit 2 Test Review

1.

Jo needs to collect at least 1,000 signatures for a petition. He has 520 and wants to collect the same number each week. He has 6 more weeks. Which inequality represents this situation?

a)

$520x+6\le1000$

b)

$520+6x\ge1000$

c)

$520x+6\ge1000$

d)

$520+6x\le1000$

2.

Wes wants to spend under $15 on lunch. He decides to buy pizza slices, which cost $2.50 each and a two liter soda which costs $1.75. Which inequality represents this situation?

a)

$15>2.50x+1.75$

b)

$15\le2.50x+1.75$

c)

$15\ge2.50+1.75x$

d)

$15<2.50+1.75x$

3.

Stacy has $25 in her savings account. To save more money, Stacy is selling lemonade for $0.50. She wants to have a minimum of $150 in her account. Which inequality represents this situation?

a)

$25+0.50x\ge150$

b)

$25x+0.50>150$

c)

$25x+0.50\ge150$

d)

$25+0.50x>150$

4.

The shaded region is the solution to which system of inequalities?

a)

$2x-3y>0$

$3x+4y\ge1$

$x<5$

b)

$2x-3y\le0$

$3x+4y\ge1$

$x>5$

c)

$2x+3y\le0$

$y\le0$

$x>5$

d)

$3x-4y\le0$

$y\ge0$

$x<5$

5.

The shaded region is the solution to which system of inequalities?

a)

$x+y>5$

$y\ge3x-3$

b)

$x+y<5$

$y\ge3x-3$

c)

$x\ge5$

$y\le3x-3$

d)

$y<5$

$y>3x+3$

6.

The shaded region is the solution to which system of inequalities?

a)

$x+y>5$

$y\ge3x-3$

b)

$x+y<5$

$y\ge3x-3$

c)

$x\ge5$

$y\le3x-3$

d)

$y<5$

$y>3x+3$

7.

Write the linear inequality in standard form for this situation: The CRHS science department can spend no more than $2700 on textbooks this year. The department needs to buy both Biology text books, which cost $57 each, and Chemistry textbooks, which cost $72 each.

a)

57x + 72y ≥ 2700

b)

57x + 72y > 2700

c)

57x + 72y < 2700

d)

57x + 72y ≤ 2700

8.

Is the point (3, 1) a solution for the following inequality? Choose the best answer that has the best explanation.

a)

Yes because it is located in the shaded region.

b)

No because it is located on the line and the line is dotted.

c)

Yes because it is located on the line.

d)

No because it is in the shaded region.

9.

When creating a linear inequality, what is the first step?

a)

Find the total

b)

Identify the inequality for the total

c)

Identify the variables and the quantity associated (x = & y =)

d)

Write the inequality

10.

When creating a linear inequality, what is the second step?

a)

Find the total

b)

Identify the inequality for the total

c)

Identify the variables and the quantity associated (x = & y =)

d)

Write the inequality

11.

When creating a linear inequality, what is the third step?

a)

Find the total

b)

Identify the inequality for the total

c)

Identify the variables and the quantity associated (x = & y =)

d)

Write the inequality

12.

Given the inequality $y>-2x+21$ , is the point $\left(5,11\right)$ a solution?

a)

Yes, because it's on the line.

b)

Yes, because it's in the shaded region.

c)

No, because it's on a dotted/dashed line.

d)

No, because it's outside of the shaded region.

13.

Which graph best represents the following inequality?

a)

b)

c)

d)

14.

Write the inequality for the graph.

a)

$y\ >2x\ +\ 2$

b)

$y\ <\ 2x\ +\ 2$

c)

$y\ \le\ 2x\ +\ 2$

d)

$y\ \ge\ 2x\ +\ 2$

15.

Write the inequality for the graph.

a)

$y\ \le\ -2x\ -\ 2$

b)

$y\ <\ -2x\ -\ 2$

c)

$y\ge\ -2x\ -\ 2$

d)

$y\ >\ -2x\ -\ 2$

16.

Identify the graph for the linear inequality

$y\ <\ x\ -\ 2$

a)

b)

c)

d)

17.

Match the system to the graph (solution set is on the left)

a)

y ≤ 3x and y ≤ -2x + 4

b)

y > 3x and y > -2x + 4

c)

y < 3x and y > -2x + 3

d)

y > 3x and y < -2x + 4

18.

Which system of linear inequalities is represented by the graph?

a)

y≤2x-1
y>-2x+3

b)

y>2x-1
y≤-2x+3

c)

y<2x-1
y≥-2x+3

d)

y≤2x-1
y>2x+3

19.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

20.

Is (-2,4) a solution to the system?

a)

Solution

b)

Not a solution

21.

Is $\left(0,5\right)$ a solution to the inequality?

$y>2x+5$

a)

Yes, because 5 is equal to $2\cdot0+5$ .

b)

Yes, because 5 is greater than $2\cdot0+5$ .

c)

No, because 5 is equal to $2\cdot0+5$ .

d)

No, because 5 is less than $2\cdot0+5$ .

22.

Which ordered pair is a solution of the inequality?

y ≥ 4x – 5

a)

(3, 4)

b)

(3, 0)

c)

(2, 1)

d)

(1, 1)

23.

Which point is a solution of the system above?

a)

(0, 0)

b)

(0, 1)

c)

(1, 0)

d)

(1, 1)

24.

Identify the inequality symbol for the phrase:

"meet or exceed"

a)

b)

c)

d)

25.

Identify the inequality symbol for the phrase:

"at least"

a)

b)

c)

d)

26.

Identify the inequality symbol for the phrase:

"no more than"

a)

b)

c)

d)

27.

Identify the inequality symbol for the phrase:

"maximum"

a)

b)

c)

d)

28.

Luka and Dana are making cookies for the Westland Pantry. They only have up to 6 hours to bake! They can bake 32 chocolate chip cookies in an hour (x), and 20 snickerdoodle cookies in an hour (y). They need to make at least 150 cookies. Which inequalities represent the situation?

a)

x + y ≥ 6
32x + 20y ≤ 150

b)

x + y ≥ 632
x + 20y ≥ 150

c)

x + y ≤ 6
32x + 20y ≤ 150

d)

x + y ≤ 6
32x + 20y ≥ 150

29.

Cullin needs to save at least $100 for homecoming. He works 2 jobs earning $8 per hour at Culvers and $25 per hour mowing lawns. He only has time to work 14 hours before homecoming.

a)

x + y ≥ 25
x + y ≤ 8

b)

100x + 25 y ≤ 100
2x + 8y ≤ 14

c)

x + y ≥ 100
8x + 25y ≤ 14

d)

8x + 25y ≥ 100
x + y ≤ 14

30.

Cole is doing a basketball challenge for charity. In order to win money for the charity, he needs to score at least 20 points. He will have less than 6 shots for 2-point shots and no more than 4 shots for 3-point shots. . If x is the number of 2-point shots, and y is the number of 3-point shots, which inequalities below represent the situation?

a)

$2x+3y\ge20$

$x+y<10$

b)

$2x+3y\ge20$

$x\le10$

c)

$2x+3y\ge20$

$x<6$

$y\le4$

d)

$2x+3y\ge20$

$x\le6$

$y\le4$

Unit 2 Test Review

Total questions: 30

Worksheet time: 2hrs 50mins

Similar Resources on Wayground