Free Printable Pre-Algebra Semester 1 Final

1.

3x + 8 if x = 2

a)

13

b)

14

c)

15

d)

16

2.

Evaluate 7y - 3y for y=2

a)

40

b)

73

c)

8

d)

4

3.

a²-b²Evaluate if a=4 and b =-2

a)

4

b)

20

c)

-4

d)

12

4.

What is a number decreased by seventeen?

a)

n + 17

b)

n - 17

c)

17 + n

d)

17 - n

5.

What is 5 less than the product of 6 and s?

a)

6s - 5

b)

5 - 6s

c)

5 + 6 - s

d)

6 - s -5

6.

√4 is a rational number

a)

True

b)

False

7.

0 is an integer

a)

True

b)

False

8.

-17.81 is an irrational number

a)

True

b)

False

9.

Which number is an irrational number?

a)

-15 / 7

b)

square root of 88

c)

square root of 25

d)

0.3333....

10.

Classify all the number sets for 3

a)

Natural, Whole, Integer, Rational, real

b)

Whole, Rational, real

c)

Integer, rational, real

d)

Rational, real

11.

Zero belongs to all of the following sets:

a)

Rational, Integer, real

b)

Rational, real

c)

Rational, Integer, Whole, real

d)

Rational, Integer, Whole, Natural

12.

18 - (-4)

a)

-22

b)

4

c)

22

d)

-4

13.

-20+(-11)

a)

31

b)

9

c)

-9

d)

-31

14.

-6 x 7

a)

42

b)

-42

c)

48

d)

-48

15.

9 - (-10)

a)

-1

b)

-19

c)

1

d)

19

16.

When multiplying or dividing a NEGATIVE and NEGATIVE number your result will be...

a)

POSITIVE

b)

NEGATIVE

c)

DEPENDS ON WHICH NUMBER IS LARGER.

17.

64 ÷ (-8)

a)

8

b)

-8

c)

-9

d)

-7

18.

Convert 3/4 to a decimal.

a)

.34

b)

.60

c)

.43

d)

.75

19.

Convert 4/5 to a decimal

a)

.45

b)

.80

c)

.40

d)

.54

20.

Convert to a decimal
1/8

a)

.25

b)

.125

c)

.55....

d)

.18888...

21.

Write 5/100 as a decimal

a)

0.05

b)

0.5

c)

0.51

d)

1.5

22.

.7

a)

7/10

b)

7/100

c)

7/1000

d)

70/20

23.

How would you express .005 as a fraction?

a)

5/10

b)

5/100

c)

5/1,000

d)

5/10,000

24.

Convert -0.46 into a fraction and simplify.

a)

-0.46/100

b)

23/50

c)

-23/50

d)

0.46/100

25.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

26.

According to exponent rules, when we divide powers we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

27.

According to exponent rules, when we multiply powers we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

28.

According to exponent rules, when we raise a power to a power we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

29.

(2⁸)²

a)

2¹⁶

b)

2¹⁰

c)

2⁶

d)

2⁴

30.

x⁻⁶

a)

1 ⁄ x⁶

b)

x⁶

c)

-x⁶

d)

-1 ⁄ x⁶

31.

8⁷ ⁄ 8²

a)

8⁵

b)

8⁹

c)

8¹⁴

d)

1⁵

32.

Simplify the following expression:
xy^-7

a)

xy⁷

b)

x/y⁷

c)

x⁷/y

d)

x⁷y

33.

Simplify (-4r⁵)(2r⁸)

a)

-8r¹³

b)

-2r¹³

c)

-8r⁴⁰

d)

-2y⁴⁰

34.

All of these are prime except

a)

3

b)

9

c)

2

d)

13

35.

Which is the prime factorization of 12?

a)

2 x 6

b)

2 + 2 + 2 + 2 + 2 + 2

c)

2 x 2 x 3

d)

1 x 2 x 2 x 3

36.

Use a number tree to find the prime factorization of 72

a)

2x2x2x3x3

b)

4x3x3x2

c)

4x2x2x2x2

37.

How would you write 4.3756 x 10⁴in standard form?

a)

437,560,000

b)

0.00043756

c)

43,756

d)

4,3756

38.

How would you write 0.0005 in scientific notation?

a)

50 x 10⁵

b)

5 x 10⁴

c)

5 x 10³

d)

.5 x 10³

39.

Find the product. (5.3 x 10²) x (1.0 x 10²)

a)

5.3 x 10⁴

b)

5.3 x 10²

c)

6.3 x 10²

d)

5.5 x 10⁴

40.

What is the simplified version of
(5.2 x 10¹³) / (1.3 x 10^-7)

a)

3.9 x 10⁶

b)

4 x 10²⁰

c)

4 x 10⁶

d)

3.9 x 10²⁰

41.

√ 64

a)

4

b)

6

c)

9

d)

8

42.

√ 144

a)

4

b)

12

c)

16

d)

32

43.

5²

a)

16

b)

25

c)

20

d)

10

44.

11²

a)

132

b)

144

c)

121

d)

22

45.

6³

a)

196

b)

206

c)

216

d)

226

46.

∛-8

a)

2

b)

-2

c)

4

d)

-4

47.

-√196

a)

14

b)

-14

c)

98

d)

-98

48.

5(a + 6)

a)

5a + 6

b)

a + 30

c)

5a + 30

d)

5a - 30

49.

-3(2c - 5)

a)

-6c - 15

b)

-6c + 15

c)

6c + 15

d)

6c - 15

50.

Simplify the following expression:
2(x-4) + 2x -4

a)

4x + 4

b)

4x - 12

c)

4x - 8

d)

4x - 4

51.

Simplify the following expression:
2x - 9 - 2x

a)

-4x - 9

b)

9

c)

-9

d)

4x - 9

52.

Simplify the expression:
6 + 2(7x - 3)

a)

12 + 7x

b)

14x

c)

14x + 3

d)

9 + 7x

53.

Add these expressions
(x+5) + (2x+10)

a)

3x+15

b)

x-5

c)

18x

54.

Solve:
3x + 7 = -8

a)

5

b)

-5

c)

-12

d)

-18

55.

Solve:
6(5x - 3) + 2 = 14

a)

2

b)

.5

c)

-1

d)

1

56.

Solve:
7x + 19 = -2x + 55

a)

4

b)

14.8

c)

8.2

d)

-4

57.

Solve:
2(2x + 3) = -6(x + 9)

a)

1.2

b)

6

c)

-6

d)

7.5

58.

-4x + 14 ≤ 54

a)

x ≥ - 10

b)

x ≤ -10

c)

x ≥ 10

d)

x ≤ 10

59.

Solve the inequality. Don't forget to check your solution set.
12 ≥ 15 - 6y

a)

y ≤ ½

b)

y ≤ 2

c)

y ≥ ½

d)

y ≥ 2

60.

5z - 2 - 2z < 13

a)

z > 5

b)

z < 5

c)

z > 1

d)

z < 1

61.

-4x-7≥21

a)

x≥7

b)

x≥-7

c)

x≤8

d)

x≤-7

62.

a)

Function

b)

Not a Function

63.

a)

Function

b)

Not a Function

64.

If h(a) = 3 - 2a
Find h(-3).

a)

12

b)

-2

c)

-3

d)

9

65.

Given f(x) = -4x - 10 and f(x) = 10. Find x

a)

x = -5

b)

x = 5

c)

x = -50

d)

x = 30

66.

.

a)

Function

b)

Not a Function

67.

.

a)

Function

b)

Not a Function

68.

Simplify the ratio of
35 : 14

a)

5 : 2

b)

2 : 5

c)

3 : 1

d)

35: 14

69.

88 students for 4 classes
How many students per class?

a)

22 students per class

b)

22 classes per student

c)

25 students per class

d)

25 classes per student

70.

What is the ratio of flames to arms on the candle?

a)

3:2

b)

3:5

c)

11/10

71.

Elijah earn $200 for 8 hours of work. What is the unit rate (in dollars per hour)?

a)

$50 per hour

b)

$12 per hour

c)

$192 per hour

d)

$25 per hour

72.

Sargento cheese slices $2.48 for 10 slices
or
Velveeta Cheese slices $3.18 for 12 slices
Find the unit price for each and choose the better deal.

a)

Sargento

b)

Velveeta

73.

Solve the proportion:

a)

15

b)

5

c)

10

d)

12

74.

a)

6.25

b)

16

c)

4

d)

3.6

75.

The pet store has 18 dogs toys for sale. 10 toys are frisbees and the rest are bones. What is the ratio of bones to frisbees in simplest form?

a)

5/9

b)

8/10

c)

4/5

d)

18/10

76.

This scale drawing shows a parking lot. What is the length of the longer side of the actual lot?

a)

63 m

b)

235 m

c)

315 m

d)

630 m

77.

Scale: 1in.=7ft. The actual width of the backyard is 49 ft, how wide is it in the drawing?

a)

14 in

b)

7 in

c)

42 in

d)

56 in

78.

Find the rate of change

a)

1

b)

2

c)

11

d)

Not a constant slope/Non-Linear

79.

Find the slope of the line.

a)

4/3

b)

-4/3

c)

3/4

d)

-3/4

80.

Find the slope from the graph

a)

0

b)

undefined

c)

5

d)

-5

81.

At 0 seconds, Mrs. Taylor was 10 feet off the ground. At 5 seconds, she was 20 feet off the ground. What is her rate in feet per second?

a)

10 feet per second

b)

5 feet per second

c)

2 feet per second

d)

6 feet per second

82.

What type of slope does the graph have?

a)

Positive

b)

Negative

c)

Zero Slope

d)

Undefined

83.

What type of slope does the graph have?

a)

Zero

b)

Undefined

c)

Negative

d)

Positive

84.

What type of slope does the following graph have?

a)

Postive

b)

Negative

c)

Zero Slope

d)

Undefined

85.

Find the slope of the line that passes through (10, -8) and (1, 12).

a)

20/9

b)

-20/9

c)

4/9

d)

9/4

86.

a)

F

b)

G

c)

H

d)

J

87.

a)

F

b)

H

c)

G

d)

I

88.

a)

A

b)

B

c)

C

d)

D

Pre-Algebra Semester 1 Final

Total questions: 88

Worksheet time: 2hrs 41mins

Similar Resources on Wayground