Free Printable Trimester 1 Pre-Algebra Final Exam

1.

Classify the number:

14

Select ALL possibilities.

a)

Rational

b)

Irrational

c)

Whole

d)

Integer

e)

Real

2.

Classify the number:

-4.5

Select ALL possibilities.

a)

Rational

b)

Irrational

c)

Whole

d)

Integer

e)

Real

3.

Classify the number:

$\sqrt[]{6}$

Select ALL possibilities.

a)

Rational

b)

Irrational

c)

Whole

d)

Integer

e)

Real

4.

Classify the number:

$\frac{4}{5}$

Select ALL possibilities.

a)

Rational

b)

Irrational

c)

Whole

d)

Integer

e)

Real

5.

Evaluate.

$4^3$

6.

Evaluate.

$2^8$

7.

Evaluate.

$5^{-2}$

a)

$\frac{1}{25}$

b)

$-\frac{1}{25}$

c)

$-25$

d)

25

e)

-10

8.

Evaluate.

$3^{-3}$

a)

$\frac{1}{27}$

b)

$-\frac{1}{27}$

c)

$-27$

d)

27

e)

-9

9.

Write as repeated multiplication.

5³

10.

Write as repeated multiplication.

3⁶

11.

Write as repeated multiplication.

1⁴

12.

Write as repeated multiplication.

6^-3

13.

Write using exponents.

$x\cdot x\cdot x$

14.

Write using exponents.

$3\cdot3\cdot3\cdot3$

15.

Write using exponents.

$1\cdot1\cdot1\cdot1\cdot1$

16.

Write using exponents.

$7\cdot7\cdot7$

17.

Evaluate.

14 + 20 ∙ 4

18.

Evaluate.

6 + (19 + 6) ∙ 2 - 2⁴ ÷ 8

19.

Evaluate.

$\frac{5+4\left(6-1\right)}{3^2-4}$

20.

Evaluate.

$2\left(12-\left(5+4^2\right)\div3\right)$

21.

Evaluate.

a = 5, b = 2, c = 3

6a - 4b - 6c

22.

Evaluate.

a = 5, b = 2, c = 3

14b - a(2 + c)

23.

Evaluate.

a = 5, b = 2, c = 3

2a(b³- 2b) - 2c

24.

Evaluate.

a = 5, b = 2, c = 3

$\frac{ab^2}{c+7}$

25.

Evaluate.

28 + 36

26.

Evaluate.

-5 + 33

27.

Evaluate.

-78 + 56

28.

Evaluate.

-57 + (-10)

29.

Evaluate.

-3 + (-12)

30.

Evaluate.

21 - 29

31.

Evaluate.

6 - (-6)

32.

Evaluate.

-3 - (-7)

33.

Evaluate.

8(-6)

34.

Evaluate.

4⋅(-5)

35.

Evaluate.

-5(4)(-7)

36.

Evaluate.

-4(-7)(-3)

37.

Evaluate.

-35 ÷ -5

38.

Evaluate.

30 ÷ (-3)

39.

Evaluate.

$\frac{42}{-6}$

40.

Evaluate.

$\frac{95}{5}$

41.

Evaluate.

$\frac{-11+\left(-1\cdot-5\right)}{2\cdot\left(-1\right)}$

42.

Evaluate.

$1-\left(5-6\right)\cdot2$

43.

Evaluate.

$-\frac{18}{6}-\left(4-1\right)$

44.

Evaluate.

$-3-\left(3-4^2\right)$

45.

It was 14 degrees F when Calvin went outside to check the temperature on Saturday evening. When Calvin went outside to check the temperature on Sunday morning, the temperature had fallen 22 degrees F. What was the temperature when Calvin went outside Sunday morning?

46.

The Tigers football team was winning when they got control of the ball in the last minute of a game. They lost 11 yards on the first play they ran. Then, they gained 10 yards on the second play. On the third play the Tigers gained 3 yards. What is the ball's position relative to its starting point after those three plays?

47.

The temperature at 8:00 AM is 45 degrees F. The temperature rises 16 degrees F from 8:00 AM to 9:00 AM, rises 8 degrees F from 9:00 AM to 10 AM, and then it drops 32 degrees F from 10:00 AM to 11:00 AM. What is the temperature at 11:00 AM?

48.

You park in a garage 3 floors below ground level. Then you get in the elevator and go up 12 floors. What floor do you get off the elevator?

49.

Label.

a)Origin

b)x-axis

c)y-axis

1

1)

50.

Label.

a)y-axis

b)x-axis

c)origin

1

1)

51.

Label.

a)y-axis

b)origin

c)x-axis

1

1)

52.

Label.

a)I

b)II

c)III

d)IV

1

2

3

4

1)

2)

3)

4)

53.

What are the coordinates for A?

a)

(3, 4)

b)

(4, 3)

c)

(-4, -3)

d)

(-3, -4)

e)

None of these

54.

What are the coordinates for B?

a)

(-2, -4)

b)

(2, -3)

c)

(3, -2)

d)

(-3, 2)

e)

None of these

55.

What are the coordinates for C?

a)

(-2, -4)

b)

(2, -4)

c)

(-4, -2)

d)

(0, 0)

e)

None of these

56.

What are the coordinates for D?

a)

(3, -6)

b)

(-3, 6)

c)

(-6, -3)

d)

(6, -3)

e)

None of these

57.

Evaluate

$\left|-12+3\right|+2$

58.

Evaluate

$\left|19\right|-\left|-7\right|$

59.

Evaluate

$\left|4\right|-\left|-9+1\right|$

60.

Evaluate

$-1+\left|-9\right|$

61.

Compare using the following symbols.

$\frac{10}{2}\ \ \ \ \ \ \ \ \ \ \ \ \ \ -\frac{50}{25}$

a)

>

b)

<

c)

=

62.

Compare using the following symbols.

$-\left(-5\right)\ \ \ \ \ \ \ \ \ \ \ \ \ -2$

a)

>

b)

<

c)

=

63.

Compare using the following symbols.

$\sqrt[]{16}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ -1+10$

a)

>

b)

<

c)

=

64.

Compare using the following symbols.

$\left|-8-2\right|\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \left|3+7\right|$

a)

>

b)

<

c)

=

65.

Write the following as an algebraic expression or equation.

Sixteen increased by a number (n).

a)

16+n

b)

16n

c)

16-n

d)

none of thes

66.

Write the following as an algebraic expression or equation.

The quotient of a number and four.

a)

n/4

b)

4n

c)

n+4

d)

none of thes

67.

Write the following as an algebraic expression or equation.

The product of a number and four.

a)

n/4

b)

4n

c)

n+4

d)

none of these

68.

Write the following as an algebraic expression or equation.

Four less than b.

a)

b-4

b)

4b

c)

4-b

d)

none of these

69.

Write the following as an algebraic expression or equation.

A number decreased by six is twelve.

a)

n-6=12

b)

6-n=12

c)

n/6=12

d)

none of these

70.

Write the following as an algebraic expression or equation.

The product of x and six is twenty-four.

a)

n-6=24

b)

6x=24

c)

n/6=24

d)

none of these

71.

Write the following as an algebraic expression or equation.

The product of x and six is twenty-four.

a)

n-6=24

b)

6x=24

c)

n/6=24

d)

none of these

72.

Write the following as an algebraic expression or equation.

The quotient of ten and y is two.

a)

10y=2

b)

y/10=2

c)

10/y=2

d)

none of these

73.

Solve.

x + (-3) = 21

a)

x=24

b)

x=18

c)

x=7

d)

x=-7

e)

none of these

74.

Solve.

-15 = x + 12

a)

x=-27

b)

x=-3

c)

x=27

d)

x=3

e)

none of these

75.

Solve.

x - (-7) = 34

a)

x=-27

b)

x=41

c)

x=27

d)

x=-41

e)

none of these

76.

Solve.

x - 8 = -26

a)

x=-18

b)

x=18

c)

x=34

d)

x=-34

e)

none of these

77.

Solve.

$-4x=-44$

a)

x = 11

b)

x = -11

c)

x = -40

d)

x = -48

e)

none of these

78.

Solve.

$90=-6w$

a)

x = -15

b)

x = 15

c)

x = 96

d)

x = 84

e)

none of these

79.

Solve.

$\frac{x}{-2}=8$

a)

x = -16

b)

x = 16

c)

x = -4

d)

x = 10

e)

none of these

80.

Solve.

$\frac{x}{-4}=-12$

a)

x = 48

b)

x = -48

c)

x = 3

d)

x = -8

e)

none of these

81.

Solve.

$-2x+4=14$

a)

x = -5

b)

x = 5

c)

x = 3

d)

x = -3

e)

none of these

82.

Solve.

$-6+2x=16$

a)

x = 11

b)

x = 22

c)

x = -11

d)

x = -22

e)

none of these

83.

Solve.

$4x+24=48$

a)

x = 6

b)

x = -12

c)

x = 12

d)

x = -6

e)

none of these

84.

Solve.

$11-6x=47$

a)

x = -6

b)

x = 6

c)

x = 22

d)

x = -22

e)

none of these

85.

Solve.

$\frac{x}{-3}+7=11$

a)

x = -12

b)

x = 12

c)

x = -6

d)

x = 6

e)

none of these

86.

Solve.

$\frac{x}{-3}-6=15$

a)

x = -63

b)

x = 63

c)

x = -7

d)

x = 7

e)

none of these

87.

Solve.

$\frac{x}{-5}+8=-17$

a)

x = 125

b)

x = -125

c)

x = -5

d)

x = 5

e)

none of these

88.

Solve.

$\frac{x}{6}-7=-12$

a)

x = -30

b)

x = 30

c)

x = 5/6

d)

x = -5/6

e)

none of these

89.

Bodie will be 17 years old in 5 years. How old (a) is he now?

(a)

90.

Brennen paid $5 for a Coke, and he now has $37. How much money (m) did he have before buying the Coke?

(a)

91.

Steph spent $32 on envelopes. If they cost $4 per box, how many boxes (b) did she buy?

(a)

92.

A large pizza was shared among a group of 8 students. Each student ate 3 slices. How many slices (s) come in a large pizza?

(a)

93.

Steph spent half of her weekly allowance buying snacks. To earn more money she vacuumed the house and earned $14. What is her weekly allowance (a) if she ended with $20?

(a)

94.

Half of your baseball card collection was ruined by your dog, Banks. You bought 15 cards to replace some that were lost. How many cards (c) did you begin with if you now have 46?

(a)

95.

Harrison had $40 to spend on school supplies. He bought four notebooks. If each notebook is the same price and Harrison has $32 left over, how much (n) is each notebook?

(a)

96.

Netflix charges Hadleigh $15 per month and a one-time membership fee of $8 for streaming on her phone. If she has $113, how many months (m) can she afford the Netflix membership?

(a)

97.

Which graph matches the inequality
k < 3?

a)

A

b)

B

c)

C

d)

D

98.

Which graph matches the inequality
r ≥ -6?

a)

A

b)

B

c)

C

d)

D

99.

Which inequality matches the graph?

a)

A

b)

B

c)

C

d)

D

100.

Which inequality matches the graph?

a)

A

b)

B

c)

C

d)

D

101.

Solve.

$x-\left(-3\right)>-11$

102.

Solve.

$x+\left(-4\right)<-16$

103.

Solve.

$10+t>-5$

104.

Solve.

$2x>-14$

105.

Solve.

$\frac{x}{-3}<-5$

106.

Solve.

$-3x>-30$

107.

Solve.

$-2\left(x-8\right)>-18$

108.

Solve.

$\frac{x}{-5}-\left(-4\right)<2$

109.

Solve.

$6x-5>-17$

110.

Solve.

$2x+8<-10$

111.

Solve.

$\frac{x-7}{5}<-2$

112.

Solve.

$-3x+4<-11$

Trimester 1 Pre-Algebra Final Exam

Total questions: 112

Worksheet time: 6hrs 36mins

Similar Resources on Wayground