Free Printable FOA Semester Exam Review

1.

Translate the sentence into an inequality.
Seven subtracted from n is greater than or equal to 18.

a)

n - 7 > 18

b)

7 - n ≥ 18

c)

n - 7 ≥ 18

d)

n + 7 ≥ 18

2.

The maximum score on the pilot's test is 95 points.

a)

p < 95

b)

p > 95

c)

p ≥ 95

d)

p ≤ 95

3.

7 is less than a number.

a)

x > 7

b)

x < 7

c)

x ≤ 7

d)

x ≥ 7

4.

Write an inequality for this situation:
You are driving, and the maximum speed limit is 55.

a)

s < 55

b)

s > 55

c)

s ≤ 55

d)

s ≥ 55

5.

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

6.

You downloaded a video game to your computer. You have a 60 minute free trial of the game. It takes 5 minutes to set up the game and 7 minutes to play each level. Write an inequality to show how many levels you can play. DO NOT SOLVE

a)

5x-7 ≥ 60

b)

7x+5 ≤ 60

c)

7+5 ≤ 60x

d)

7x-5 ≥ 60

7.

Melissa wants to spend no more than $300 on school clothes. She spends $75 on a coat and then wants to buy some sweaters that are on special for $10 each. Write an inequality to show how many sweaters Melissa can buy. DO NOT SOLVE

a)

75x-10 ≥ 300

b)

75+10 ≤ 300x

c)

10x ≥ 300

d)

75+10x ≤ 300

8.

Translate the sentence into an inequality.
Seven subtracted from n is greater than or equal to 18.

a)

n - 7 > 18

b)

7 - n ≥ 18

c)

n - 7 ≥ 18

d)

n + 7 ≥ 18

9.

The maximum score on the pilot's test is 95 points.

a)

p < 95

b)

p > 95

c)

p ≥ 95

d)

p ≤ 95

10.

Write an inequality for this situation:
You are driving, and the maximum speed limit is 55.

a)

s < 55

b)

s > 55

c)

s ≤ 55

d)

s ≥ 55

11.

Which sentence represents m > 41?

a)

Mary’s points, m, totaled more than 41

b)

Calvin ran no less than 41 miles, m

c)

The temperature, m, was less than 41°F

d)

The magazines’ cost, m, was not more than $41.

12.

A student must be at least 15 years old to obtain a driver’s permit.

a)

x > 15

b)

x < 15

c)

x ≤ 15

d)

x ≥ 15

13.

Which inequality is represented by the words " no more than" or "at most"?

a)

<

b)

>

c)

≤

d)

≥

14.

Translate the word phrase:
The capacity of the elevator is 2000 pounds.

a)

x > 2000

b)

x < 2000

c)

x ≤ 2000

d)

x ≥ 2000

15.

Translate the word phrase:
Sara has at most 5 pairs of shoes.

a)

x > 5

b)

x < 5

c)

x ≤ 5

d)

x ≥ 5

16.

At Most

a)

<

b)

>

c)

≤

d)

≥

17.

"Subtracted from" and "less than" are terms that mean you need to "turn" or "flip" the terms around.

a)

True

b)

False

18.

Translate the sentence into an inequality.
Seven subtracted from n is greater than or equal to 18.

a)

n - 7 > 18

b)

7 - n ≥ 18

c)

n - 7 ≥ 18

d)

n + 7 ≥ 18

19.

Write an inequality for the following statement.
n is less than 9

a)

n < 9

b)

n > 9

c)

n ≤ 9

d)

n ≥ 9

20.

m - 5 > 10

a)

m is less than 15

b)

m is greater than 5

c)

m is greater than 15

d)

m is less than 5

21.

Solve: 10x + 9 = 4x - 9

a)

3

b)

0

c)

-18

d)

-3

22.

Solve the equation: 4x - 5x + 9 = 5x - 9

a)

x=3

b)

x=-3

c)

x=-9

d)

x=9

23.

In order to solve an equation, we must get variables on one side of an equation, and constants on the opposite side.

a)

False

b)

True

24.

Solve: 10x + 9 = 4x - 9

a)

x=3

b)

x=0

c)

x=-3

d)

x=18

25.

Solve: 2(4x-3) - 8 = 4 + 2x

a)

x=5/3

b)

x=3

c)

x=1

d)

x=2

26.

Solve: 14p - 8 = 22 + 20p

a)

-5

b)

5

c)

30

27.

What is the first step to solving this equation:

-11 - 3x = 44 - 2x

a)

Add 11 to both sides

b)

Get the variable on one side

c)

Add 3 to both sides

d)

Add 2 on both sides.

28.

The goal of solving a one, two, or multi-step equations is to:

a)

Find the coefficient

b)

Find the value of the variable

c)

Find the constant

d)

Be confused

29.

Solve the following equation for x:

5x − 6 = 8 − 2x

a)

x = 2

b)

x= −2

c)

$x=-4\frac{2}{3}$

d)

$x=-\frac{2}{3}$

30.

What is the first step you should take to solve this problem?

1 + 4n - 6n = 1 - 8n

a)

subtract 8n to both sides

b)

multiply 6n to both sides

c)

combine the like terms 4n + -6n

31.

Solve.

$6a\ +\ 5a\ =\ -11$

a)

$a\ =\ 0$

b)

$a\ =\ 1$

c)

$a\ =\ -1$

d)

None of these

32.

$24\ =\ 3\left(3x\ -7\right)$

a)

$x\ =\ -9$

b)

$x\ =\ 5$

c)

$x\ =3$

d)

$x\ =\ 7$

33.

$r\ +\ 11\ +\ 8r\ =\ 29$

a)

$r\ =0$

b)

$r\ =\ 1$

c)

$r\ =\ 2$

d)

$r\ =\ 3$

34.

$-5\left(4x\ -\ 2\right)\ =\ -2\left(3\ +6x\right)$

a)

$x\ =\ 2$

b)

$x\ =\ 8$

c)

$x\ =\ -2$

d)

$x\ =\ -8$

35.

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

a)

≤, ≥

b)

<, >

c)

≤, <

d)

≥, >

36.

You flip an inequality symbol when you...

a)

subtract

b)

multiply and divide only

c)

multiple by a negative number

d)

multiple or divide by a negative number

37.

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

a)

x<24

b)

x>12

c)

x<12

d)

x>24

38.

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

a)

a<-3

b)

a>-3

c)

a<3

d)

a>3

39.

a)

a ≥ 4

b)

a ≥ -4

c)

a ≤ 4

d)

a ≤ -4

40.

$4\left(2x-1\right)>-7+2x$

a)

$x<-2$

b)

$x<-\frac{1}{2}$

c)

$x>-2$

d)

$x>-\frac{1}{2}$

41.

-3 − 6(4x + 6) > -111

a)

x > 3

b)

x < 3

c)

x < -3

d)

x > -3

42.

a)

x < 1

b)

x < -1

c)

x > 1

d)

x > -1

43.

a)

n < 1

b)

n < -1

c)

n > 1

d)

n > -1

44.

a)

m < 6

b)

m < -6

c)

m > 6

d)

m > -6

45.

a)

x ≥ 2

b)

x ≥ -2

c)

x ≤ 2

d)

x ≤ -2

46.

$4\left(2x-1\right)>-7+2x$

a)

$x<-2$

b)

$x<-\frac{1}{2}$

c)

$x>-2$

d)

$x>-\frac{1}{2}$

47.

Solve:
7(x + 3) < 5x + 13

a)

x>-4

b)

x < 17

c)

x<-4

d)

x > -17

48.

Solve the following inequality:
$2\left(3-6x\right)>2\left(-5x-6\right)$

Type your answer using the following order:
variable--symbol--numerical value (for example: x<7)

(a)

49.

$-10m+2<-18$

a)

$m<2$

b)

$m<1.6$

c)

$m>2$

d)

$m>1.6$

50.

A variable is . . .

a)

an awesome number

b)

a number represented by a letter

c)

an infinite number

d)

a number multiplied by another number

51.

5p + 4h - 2
Which are the variables?

a)

5p, 4h, 2

b)

2

c)

p, h

d)

5, 4

52.

What is 4x if x=5?

a)

20

b)

16

c)

9

d)

45

53.

Evaluate 5y + 2 if y = 3

a)

17

b)

19

c)

55

d)

13

54.

6a - 3d
when a = 1, d = 2

a)

3

b)

12

c)

1

d)

0

55.

Evaluate when a = 15:
2(a - 5) + 2

a)

22

b)

27

c)

14

d)

7

56.

2x + 3 + x²; for x = 4

a)

17

b)

27

c)

19

d)

25

57.

Evaluate if a = 2 and b = 8
6 + 7b - 3a

a)

-100

b)

100

c)

-56

d)

56

58.

a²- b²Evaluate if a=4 and b =2

a)

4

b)

20

c)

-4

d)

12

59.

Evaluate 7y - 3y for y=2

a)

40

b)

73

c)

8

d)

4

60.

Evaluate the following expression when x = 4:

x²+ 2x + 3

a)

17

b)

27

c)

19

d)

25

61.

What are the variables in the following expression?

a)

3, 4, 1 and 7

b)

z, x and y

c)

+ and -

d)

15

62.

s²÷ 2 when s = 4

a)

30

b)

16

c)

8

d)

18

63.

6c - 1 + 5c when c = 2

a)

31

b)

41

c)

51

d)

21

64.

$Evaluate\ \frac{9x^2}{a}\ for\ a\ =\ 9\ and\ x\ =\ 3\$

a)

6

b)

9

c)

81

d)

27

65.

b² + 4
when b = 3

a)

10

b)

12

c)

13

d)

11

66.

Evaluate if if w = 6

a)

14

b)

13

c)

10

d)

26

67.

Evaluate each expression for the given value of the variable.

$\frac{16}{g}$ ; g = 4

(a)

68.

Evaluate 7c - 3 when c = 4

(a)

69.

$n^2-6+3$ when n = 5

(a)

70.

5n = 35

a)

5

b)

6

c)

7

d)

8

71.

n x 7 = 63

a)

7

b)

9

c)

8

d)

6

72.

6n = 48

a)

7

b)

6

c)

8

d)

9

73.

n x 4 = 36

a)

7

b)

4

c)

6

d)

9

74.

How do I solve this problem? n x 13 = 117

a)

Multiply each side of the equation by 13

b)

Divide each side of the equation by 13

c)

Add 13 to each side of the equation by 13

d)

Subtract 13 from each side of the equation by 13

75.

7n = 126

a)

n = 16

b)

n = 18

c)

n = 17

d)

n = 8

76.

28n = 84

a)

n = 2

b)

n = 3

c)

n = 4

d)

n = 6

77.

35 x n = 105

a)

n = 3

b)

n = 4

c)

n = 5

d)

n = 7

78.

n $\div$ 4 = 52

a)

n = 208

b)

n = 280

c)

n = 216

d)

220

79.

n $\div$ 6 = 25

a)

n = 15

b)

n = 125

c)

n = 150

d)

n = 25

80.

144 $\div$ n = 12

a)

n = 11

b)

n = 9

c)

n = 12

d)

n = 8

81.

120 $\div$ n = 8

a)

n = 9

b)

n = 11

c)

n = 12

d)

n = 15

82.

225 $\div$ n = 75

a)

n = 3

b)

n = 5

c)

n = 7

d)

n = 9

83.

The product of a number and 12 is 216.

a)

12 $\div$ n = 216

b)

12n = 216

c)

12 + n = 216

d)

216 - n = 216

84.

If a number is divided by 13, the quotient is 11

a)

13 - n = 11

b)

11 + 13 = n

c)

n $\div$ 13 = 11

d)

13n = 11

85.

The quotient of a number divided by 16 is 22.

a)

16 + 22 = n

b)

16 x n = 22

c)

16n = 22

d)

$\frac{n}{16}$ = 22

86.

The product of a number and 32 is 128.

a)

128 $\div$ 32 = n

b)

32 x n = 128

c)

n + 32 = 128

d)

128 - n = 32

87.

$-6w+1=-11$

a)

2

b)

1.2

c)

12

d)

-2

88.

$3c+5=23$

a)

c = 3

b)

c = 6

c)

c = 7

d)

c = 18

89.

What is the solution to: $5x+3=33$

a)

$x=-6$

b)

$x=\frac{36}{5}$

c)

$x=30$

d)

$x=6$

90.

What does isolate the variable mean?

a)

Make sure the variable is not alone.

b)

Get the variable by itself.

c)

Make the variable do a dance.

d)

Double the variable

91.

Identify the steps to solve for b

a)

Add 6 to both sides and divide both sides by 5

b)

Add 6 to both sides and multiply both sides by 5

c)

Subtract 6 from both sides then multiply both sides by 5

d)

Subtract 6 from both sides then divide both sides by 5

92.

$\frac{x}{4}+8=10$

a)

$x=-4$

b)

$x=-8$

c)

$x=8$

d)

$x=16$

93.

$9x-7=-7$

a)

$\frac{9}{7}$

b)

1

c)

0

d)

$\frac{-14}{9}$

94.

$8+\frac{b}{-4}=5$

a)

5

b)

12

c)

-28

d)

1

95.

$-1=\frac{5+x}{6}$

a)

-11

b)

0

c)

1

d)

10

96.

$-6+\frac{x}{4}=-5$

a)

44

b)

4

c)

120

d)

26

97.

Simplify by combining like terms:
5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

98.

A constant term has ______.

a)

no exponents

b)

no variables

c)

no numbers

d)

no letters

99.

A coefficient is __________.

a)

the variable

b)

a constant

c)

an exponent

d)

the number that comes before the variable

100.

Simplify by combining like terms.
m + 9 - 4m

a)

5m

b)

m + 5m

c)

-3m + 9

d)

4m

101.

Use the distributive property to write an equivalent expression.
-8(z - 5)

a)

-8z - 40

b)

-8z + 40

c)

-8z - 13

d)

-8z - 13

102.

Expand using the distributive property

-2(3x + 4y + 1)

a)

-6x + 8y + 2

b)

-6x - 8y + 2

c)

-6x - 8y - 1

d)

-6x - 8y - 2

103.

What is the decimal equivalent of $\frac{4}{25}$ ?

a)

16%

b)

0.16

c)

1.6

d)

0.08

104.

Which symbol would make this statement true?

$\frac{4}{9}\$ _____ 48%

a)

<

b)

>

c)

-

105.

If you wanted to convert $\frac{8}{9}$

to a decimal, what would be the first step?

a)

Place an 8 on the right side of the decimal point

b)

Divide 8 by 9

c)

Divide 9 by 8

d)

Place a 9 on the right side of the decimal point

106.

6 (x + y + 7)

a)

6x + 6y + 42

b)

12xy + 42

c)

6x + 6y + 7

d)

6x6y + 42

107.

-7(w - 4) + 3w - 27

a)

4w + 15

b)

-4w + 1

108.

8(x + 5) - 4(x + 4)

a)

4x + 24

b)

4x + 16

109.

Translate this phrase into an algebraic expression.
the quotient of 4 and a number increased by 10.

a)

4 - n + 10

b)

4n - 10

c)

4/(n + 10)

d)

4 / n + 10

110.

Translate this phrase into an algebraic expression.
2 times the difference of t and 11

a)

2t - 11

b)

2(t - 11)

c)

2(t / 11)

d)

2 x t - 11

111.

Manning is 2 years older than Max. Bear is 3 times as old as Manning. Which expression represents Bear's age if x represents the age of Max?

a)

3 (x + 2)

b)

3x + 2

c)

x + 2 × 3

d)

2x + 3

FOA Semester Exam Review

Total questions: 111

Worksheet time: 3hrs 24mins

Similar Resources on Wayground