Free Printable MATH 005# Exam 2 Review

1.

Is x = -3 a solution to 12 = -4x?

a)

Yes

b)

No

2.

Is x = -1 a solution to 1 - 3x = 2?

a)

Yes

b)

No

3.

Is x = 6 a solution to 6x - 12 = 24?

a)

Yes

b)

No

4.

What inequality does the number line graph represent?

a)

x > 5

b)

x < −5

c)

x ≥ 5

d)

x ≥ −5

5.

Pick the correct letter for:
6 > x

a)

A

b)

B

c)

C

d)

D

6.

Match the graph with its inequality.

a)

b > –2

b)

b < –2

c)

b ≥ –2

d)

b ≤ –2

7.

What inequality does the number line graph represent?

a)

x ≤ -4

b)

x ≥ -4

c)

x < -4

d)

x < 4

8.

Is 20 a solution to the inequality 3x - 5 > 60

a)

yes

b)

no

9.

-4b > 12

a)

-4 is a solution

b)

4 is a solution

c)

12 is a solution

d)

0 is a solution

10.

s + 9 ≥ -25

a)

-18 is a solution

b)

-30 is a solution

c)

-90 is a solution

d)

-40 is a solution

11.

Solve the equation:
$x-12=2$

a)

24

b)

10

c)

20

d)

14

12.

Solve the equation:
$3c=12$

a)

36

b)

4

c)

15

d)

9

13.

Solve the equation:
$x-8=10$

a)

2

b)

9

c)

10

d)

18

14.

Solve the equation:
$\frac{x}{-2}=-4$

a)

22

b)

9

c)

8

d)

6

15.

Solve the equation:
$-y=22$

a)

y = 1

b)

y = -22

c)

y = 0

d)

y = -1

16.

Solve each equation:
$-4+r=10$

a)

r = 14

b)

r = 6

c)

r = -6

d)

r = 40

17.

Solve the equation:
$-22+x=-42$

a)

64

b)

-64

c)

20

d)

-20

18.

Level 1

When do we switch the inequality symbol when solving an inequality?

a)

when multiplying or dividing by a NEGATIVE

b)

when adding and subtracting a NEGATIVE

c)

we never switch the inequality

d)

When there is a negative in the problem

19.

y - 13 ≤ -15

a)

y ≤ 2

b)

y ≤ -2

c)

y ≤ 28

d)

y ≤ -28

20.

Solve

a)

z ≤ 1

b)

z > 9

c)

z ≤ 9

d)

z < 9

21.

-4 + y < -8

a)

y < 4

b)

y < -12

c)

y < -4

d)

y < 12

22.

Solve

5m < -10

a)

m < -2

b)

m > -2

c)

m < -50

d)

m > -50

23.

Level 3

Solve

-5m < 10

a)

m < -2

b)

m > -2

c)

m < -50

d)

m > -50

24.

Level 3

Solve the inequality. Graph the solution.

-11w > -11

a)

b)

c)

d)

25.

Solve

a)

x < -96

b)

x < 20

c)

x = 6

d)

x > 96

26.

Write the following in interval notation
x < 8

a)

(8, ∞)

b)

(8, -∞)

c)

(-∞, 8)

d)

[-∞, 8]

27.

Write the following in interval notation
x ≥ 100

a)

(0, 100]

b)

(∞, 100]

c)

[100, ∞)

d)

(∞, 100)

28.

Write the following solution in interval notation:

z < 20

a)

[-∞ , 20 )

b)

( 20,∞)

c)

( -∞ , 20)

d)

( -∞ , 20]

29.

Write the following solution in interval notation:

x ≥ -3

a)

[ -3, ∞ )

b)

( -3, ∞ )

c)

( -∞ , -3 )

d)

( -∞ , -3]

30.

Write the following solution in set builder notation:

x ≥ -2

a)

{ x | x ≥ 2 }

b)

{ x | x ≥ -2 }

c)

{ x ≥ -2 }

d)

{ x | x ≤ -2 }

31.

Write the following solution in set builder notation:

y > 10

a)

{ y > 10 }

b)

{ y | y > 10 }

c)

{ y | y < 10 }

d)

( -0, 10 )

32.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

33.

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

34.

-11 + 3(b + 5) = 7

a)

1

b)

-1

c)

3

d)

-3

35.

4x + 10 = -26

a)

4

b)

-4

c)

-9

d)

9

36.

Solve the equation.

a)

1/3

b)

6/17

c)

8/12

d)

12/35

37.

$\frac{w}{3}+\frac{w}{4}=\frac{7}{4}$

a)

3

b)

-3

c)

12

d)

21

38.

$\frac{6}{n}-\frac{1}{4}=\frac{8}{2n}$

(a)

39.

a)

e ≥ -4

b)

e ≥ 28

c)

e ≥ -12

d)

e ≥ 24

40.

Solve:
3(x - 2) < 2(x + 9)

a)

x<24

b)

x>12

c)

x<12

d)

x>24

41.

$10+\frac{3}{4}x-5>11$

a)

$x>8$

b)

$x>-8$

c)

$x>-1$

d)

$x<4$

42.

$-2\left(x+7\right)\le-8$

a)

$x\le3$

b)

$x\ge3$

c)

$x\ge-3$

d)

$x\le-3$

43.

Solve the inequality

a)

x ≤ 2

b)

x ≤ -2

c)

x ≥ 2

d)

x ≥ -2

44.

Solve the equation for w. ^{x = w / a}

a)

w = a / x

b)

w = x / a

c)

w = ax

d)

x = wa

45.

Solve for x.
9y = x / 2w

a)

2y = x / 9w

b)

x = 18wy

c)

x = 92yw

d)

x = 2y - 9w

46.

Solve for x.
x + 7g = 9

a)

x = 9 - 7g

b)

x = 9 / 7g

c)

x = 9 + 7g

d)

x = 7g - 9

47.

Solve for y.
-5w + 7y = 4

a)

y = (4 - 5w) / 7

b)

y = (4 + 5w)/ 7

c)

y = 9w / 7

d)

y = 9w + 7

48.

Solve the equation for y.
2x - 4y = 7

a)

y = (7+2x)/ -4

b)

y = (7-2x) / 4

c)

y = (7-2x)/ -4

d)

y = (7+2x)/ 4

49.

A mechanic charges a flat fee of $15 and then charges $65 per hour. If the final fee was $300, how many hours did the mechanic work? Write a formula for the total cost of hiring the mechanic where x = number of hours worked.

a)

65 + 15x = 300

b)

15 + 65x = 300

c)

65 - 15x = 300

d)

15 - 65x = 300

50.

Which choice models this situation?

Last week, James worked 35 hours in 5 days on the farm. He worked the same number of hours each day. How many hours did he work each day?

a)

-5 + h = 35

b)

5 + h = 35

c)

5h = 35

d)

h/5 = 35

51.

A tub has 40 gallons of water in it and starts draining at a rate of 6 gallons per minute. When does the tub only have 1 gallon of water left? Write a formula for the amount of water left in the tub where t = time in minutes.

a)

40 + 6t = 1

b)

1 + 40t = 6

c)

6 - 40t = 1

d)

40 - 6t = 1

52.

The late fee at the library is based on the number of days a book is late. Carter paid $1.08 for a book that was 9 days late. If his sister Sydney had a fee of $1.92 for a late book, how many days late was the book? Create a proportion and solve.

(a)

53.

Two pounds of strawberries cost $3.60. How much would you pay for 4.5 pounds of strawberries? Create a proportion and solve.

(a)

54.

The ratio of chicken to vegetables in a soup is 2:3. If there are 9 cups of chicken, how many cups of vegetables are in the soup? Create a proportion and solve.

(a)

55.

The shortfin Mako shark is the fastest shark in the ocean, reaching speeds of 45 miles per hour. At this speed, how long would it take a shortfin Mako shark to swim 75 miles? Create a proportion and solve.

(a)

MATH 005# Exam 2 Review

Total questions: 55

Worksheet time: 4hrs 16mins

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