Free Printable U4 Exam (Part II) Review

1.

Solve 24 > -3r > -9

a)

-8 < r < 3

b)

-8 > r > 3

c)

r > - 8 and r > 3

d)

r > -8 or r < 3

2.

x + 8 < 3 or - 8x < -40

a)

x > -5 or x < 5

b)

x < -5 and x > 5

c)

x < -5 or x > 5

d)

x > -5 and x < 5

3.

Write an inequality for Graph 3.

a)

x ≤ -2 AND x > 5

b)

x ≤ -2 OR x > 5

c)

x ≥ -2 OR x < 5

d)

-2 ≤ x < 5

4.

Write an inequality for Graph 2.

a)

-2 ≤ x < 5

b)

x ≤ -2 AND x > 5

c)

x ≥ -2 OR x < 5

d)

-2 ≤ x ≤ 5

5.

0 < x + 7 < 9

a)

-7<x and x<2

b)

-7<x or x<2

c)

-7>x and x>2

d)

-7>x or x>2

6.

Solve the following compound inequality:

−4x + 1 ≤ 21 and 5x + 2 < 22

a)

x > −5 or x ≤ 4

b)

x ≥ −5 or x < 4

c)

x > −5 and x ≤ 4

d)

x ≥ −5 and x < 4

7.

What inequality is graphed?

a)

x > 2 and x ≤ −3

b)

x > 2 and x < −3

c)

x > 2 or x ≤ −3

d)

x > 2 or x < −3

8.

Solve the following compound inequality:

−8 < 2(x + 4) or −3x + 4 > x − 4

a)

No solutions

b)

x < −8 or x < 2

c)

x > −8 or x < 2

d)

x < −8 and x < 2

9.

Will my dot be colored in?
5 ≥ x

a)

Yes

b)

No

10.

Which represents the word sentence as an inequality?
A number n is at least 17.

a)

n < 17

b)

n > 17

c)

n ≤ 17

d)

n ≥ 17

11.

Match:
The postal scale will weigh a maximum of 50 lbs.

a)

p < 50

b)

p > 50

c)

p ≤ 50

d)

p ≥ 50

12.

Match:
You must be at least 48 inches tall to ride the bumper cars.

a)

h < 48

b)

h > 48

c)

h ≤ 48

d)

h ≥ 48

13.

You take a trip to the bowling alley, where each game cost $2, plus you plan to spend $10 on food. You can spend at most $25. Which inequality models this scenario?

a)

2x + 10 ≥ 25

b)

2x + 10 > 20

c)

2x + 10 ≤ 25

d)

2x + 10 < 25

14.

When do you change the sign when solving a compound inequality?

a)

You don't change the sign.

b)

When multiplying or dividing by a negative number.

c)

When adding or subtracting by a negative number.

d)

When multiplying or dividing by a positive number.

15.

When you graph an inequality, you use a closed dot when you use which symbols?

a)

≤, ≥

b)

<, >

c)

≤, <

d)

≥, >

16.

Store A charges $10 plus $0.25 per letter for engraving. Store B charges $16 plus $0.15 per letter. Which inequality could be used to determine when Store B will cost less than Store A?

a)

10 + 0.25x > 16 + 0.15x

b)

10x + 0.25 > 16x + 0.15

c)

10 + 0.25x < 16 + 0.15x

d)

10x + 0.25 < 16x + 0.15

17.

Store A charges $10 plus $0.25 per letter for engraving. Store B charges $16 plus $0.15 per letter. When will Store B cost less than Store A?

a)

x > 1.2

b)

x < 60

c)

x > 60

d)

x < 1.2

18.

James weighs 220 pounds and gains 2 pounds per month. Joey weighs 176 pounds and gains 4 pounds per month. Which inequality below could be used to determine after how many months James will weigh less than Joey?

a)

$220+2x\ge176+4x$

b)

220 + 2x > 176 + 4x

c)

$220+2x\le176+4x$

d)

220 + 2x < 176 + 4x

19.

Ann wants to spend at most $8.50 on school supplies. She needs to purchase a binder (costs $6.89) and wants to spend the rest on pens, which cost $0.59 each. Which inequality represents this situation, where x is the number of pens Ann can buy?

a)

$6.89+8.50x\le0.59$

b)

$8.50+0.59x\le6.89$

c)

$0.59+6.89x\le8.50$

d)

$6.89+0.59x\le8.50$

20.

Stacy has $25 in her savings account. To save more money, Stacy is selling lemonade for $0.50. She wants to have more than $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)

$25+0.50x>150$

21.

Which situation can be represented by the inequality
15 + 6x ≤ 100?

a)

Lazer Zone charges $15 plus $6 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?

b)

Lazer Zone charges $6 plus $15 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?

c)

Lazer Zone charges $15 plus $6 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?

d)

Lazer Zone charges $6 plus $15 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?

22.

-3 − 6(4x + 6) > -111

a)

x > 3

b)

x < 3

c)

x < -3

d)

x > -3

23.

Does the given value make the inequality true? x + 9 > 21, when x = 15

a)

True

b)

Not True

24.

Solve the inequality

4(5x + 2) ≤ 28

a)

x ≤ 1

b)

x ≥ 1

c)

x ≤ 8

d)

x ≥ 8

25.

28 − k ≥ 7(k − 4)

a)

k ≥ -7

b)

k ≤ -7

c)

k ≥ 7

d)

k ≤ 7

26.

Which operations must we UNDO to solve this inequality?

$\frac{x}{-6}\ +\ 20\ >\ 4$

a)

Subtraction, then multiplication

b)

Multiplication, then division

c)

Addition, then division.

d)

Addition, then subtraction

27.

What is the first step to solving this inequality?

$9x\ -\ 6\ >\ 66$

a)

Add 9 to both sides of the inequality.

b)

Divide both sides of the inequality by 9.

c)

Subtract 6 on both sides of the inequality.

d)

Add 6 to both sides of the inequality.

28.

What is the first step to solve the following inequality?

$\frac{m}{-6}\ +\ 17\ \le\ 23$

a)

Multiply both sides of the inequality by -6

b)

Subtract 17 on both sides of the inequality.

c)

Divide both sides of the inequality by -6

d)

Add 17 to both sides of the inequality.

29.

What is the first step to solve the following inequality?

$25\ -\ 4y\ \ge\ 37$

a)

Subtract 25 from both sides of the inequality.

b)

Add 25 to both sides of the inequality.

c)

Divide both sides of the inequality by 4.

d)

Multiply both sides of the inequality by -4.

30.

What are the correct steps to solving this inequality?

$-3x\ -\ 12\ >\ 48$

a)

Subtract 12, then divide by 3, then reverse the inequality sign.

b)

Add 12, then multiply by -3, then reverse the inequality sign.

c)

Add 12, then divide by -3, then reverse the inequality sign.

d)

Subtract 12, then divide by -3, then reverse the inequality sign.

31.

In which of these inequalities will we need to reverse the inequality sign?

a)

$4a\ -\ \left(-8\right)\ \ge36$

b)

$\frac{b}{-6}\ +\ 10\ \le\ -2$

c)

$\frac{k}{5}\ +\ \left(-9\right)\ <\ 16$

d)

$3d\ +17\ >-1$

32.

Solve the following inequality:

$-8\ -\ 6x\ \ge10$

a)

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

b)

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

c)

$x\ \ge-3$

d)

$x\ \le-3$

33.

Solve:
4(2a + 3) < 3(a - 1)

a)

a<-3

b)

a>-3

c)

a<3

d)

a>3

34.

Match the graph with its inequality.

a)

a < 11

b)

a > 11

c)

a ≤ 11

d)

a ≥ 11

35.

Which of the following inequality statements represents this inequality?

a)

$x\ >\ 20$

b)

$x\ <\ 20$

c)

$x\ \ge\ 20$

d)

$x\ \le\ 20$

36.

Which of the following inequality statements represents this inequality?

a)

$x\ >\ 20$

b)

$x\ <\ 20$

c)

$x\ \ge\ 20$

d)

$x\ \le\ 20$

37.

The sign below means...
≥

a)

Greater Than

b)

Less Than

c)

Greater Than or Equal to

d)

Less Than or Equal to

38.

<

a)

equal

b)

less than

c)

less than or equal to

d)

at least

39.

≤

a)

equal

b)

less than

c)

less than or equal to

d)

at least

40.

In words
x>5

a)

x is greater than 5

b)

x is less than 5

c)

x is zero

d)

x is at least 5

41.

What inequality is graphed?

a)

$x\le-5\ \ or\ \ x\ge2$

b)

$x\ge-5\ \ and\ \ x\le2$

c)

$x<-5\ \ and\ \ x<2$

d)

$x<-5\ \ or\ \ x>2$

42.

Select the inequality shown

a)

1 < x < 4

b)

1 ≤ x < 4

c)

1 < x ≤ 4

d)

1 ≤ x ≤ 4

43.

Select the inequality shown

a)

0 < x < 3

b)

0 ≤ x < 3

c)

0 < x ≤ 3

d)

0 ≤ x ≤ 3

44.

Do I need to flip my sign?
-3x ≥ 12

a)

Yes

b)

No

45.

6(n + 2) < -72

a)

n < -14

b)

n < 35/3

c)

n < -10

d)

n > -14

U4 Exam (Part II) Review

Total questions: 45

Worksheet time: 2hrs 23mins

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