Free Printable Pre-Algebra review

1.

Simplify: $6^5\cdot6^2$

a)

$6^7$

b)

$6^3$

c)

$36^7$

d)

$6^{10}$

2.

Simplify: $3n^5\cdot5n^{10}$

a)

$15n^5$

b)

$8n^{15}$

c)

$15n^{50}$

d)

$15n^{15}$

3.

Simplify: $\left(2a^3b^4c^3\right)^2\cdot\left(4a^2bc^3\right)$

a)

$16a^8b^9c^9$

b)

$8a^8b^9c^9$

c)

$8a^6b^5c^6$

d)

$16a^5b^5c^6$

4.

Simplify: $\frac{2^9}{2^6}$

a)

$1^3$

b)

$0^3$

c)

$2^3$

d)

$2^{15}$

5.

Simplify: $\frac{12x^5y^4}{2x^9y}$

a)

$6x^{-4}y^3$

b)

$\frac{6y^3}{x^4}$

c)

$\frac{12y^3}{2x^4}$

d)

$\frac{6x^{-4}}{y^3}$

6.

Simplify: $\left(3x^5\right)^6$

a)

$18x^{30}$

b)

$729x^{11}$

c)

$3^6x^{30}$

d)

$729x^{30}$

7.

Simplify: $\left(4y\right)^{-3}$

a)

$\frac{1}{64y^3}$

b)

$64y^{-3}$

c)

$-12y^{-3}$

d)

$\frac{64}{y^3}$

8.

Simplify: $2m^{-1}$

a)

$\frac{1}{2m}$

b)

$\frac{m}{2}$

c)

$\frac{2}{m}$

d)

$2m$

9.

Simplify: $\left(-x^3\right)\left(-5x\right)$

a)

$5x^4$

b)

$-5x^4$

c)

$5x^3$

d)

$-5x^3$

10.

Simplify: $\left(\frac{4}{2d^2}\right)^3$

a)

$\frac{2}{d^2}$

b)

$\frac{8}{d^6}$

c)

$\frac{8}{2d^2}$

d)

$\frac{64}{2d^2}$

11.

Simplify: $\frac{\left(4x^2y^3\right)^0}{8x^3}$

a)

$\frac{1}{8x^3}$

b)

$\frac{y^3}{2x}$

c)

$\frac{4y^3}{8x}$

d)

$1$

12.

Simplify: $\frac{50r^6n^{-7}}{2n^2r^4}$

a)

$25r^4n^5$

b)

$\frac{25r^4}{n^5}$

c)

$\frac{25r^2}{n^9}$

d)

$25r^2n^{-9}$

13.

John earns $13 for every half an hour he works. Which of the graphs best represents the situation?

a)

A.

b)

B.

c)

C.

d)

D.

14.

Identify the table that represents a linear function.

a)

Table 1

b)

Table 2

c)

Table 3

d)

Table 4

15.

Sam joins a chocolate club for $22. He pays $0.35 per ounce of chocolate after he has paid the membership fee. What function represents this situation?

a)

f(x) = 0.35y + 22

b)

f(x) = 0.35x - 22

c)

f(y) = 0.35x + 22

d)

f(x) = 0.35x +22

16.

What are the x-values called?

a)

Range

b)

Output

c)

Domain

d)

Function

17.

What is the Range?

a)

x-values

b)

y-values

c)

Input

d)

Domain

18.

Sketch y = 2x + 1

a)

b)

c)

d)

19.

What is the value for f(10)?

a)

$25

b)

$30

c)

$32

d)

$35

20.

How many days does it take for the plant to reach a height of 7 cm?

a)

5

b)

6

c)

7

d)

8

21.

What is the average rate of growth?

a)

2 cm/day

b)

2 days/cm

c)

1 cm/day

d)

1 day/cm

22.

The Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of airtime usage. If Juanita uses x minutes of airtime, what is an equation that can be used to determine her monthly cell phone bill (C)?

a)

C = 0.20x + 15

b)

C =15 (0.20x)

c)

C = 15 + x + 0.20

d)

C = 0.20 + 15x

23.

Morgan has $263.49 in her bank account. She babysits two days each week. Each time she babysits she earns $36. She deposits all the money she earns into her bank account at the end of the week. Which linear equation below best models the relationship between the total amount of money in Morgan's bank account(T) and the number of weeks(w) that have passed?

a)

T = 72w + 263.49

b)

T = 36w + 263.49

c)

T = 263.49w + 36

d)

w = 72T + 263.49

24.

Valley Video charges a $15 annual fee plus $3 per movie for rentals. Last year, Jennifer spent $99 at the video store. How many movies did she rent? Write the linear equation and solve for the number of movies.

a)

15x + 3x = 99 and 6 movies

b)

15x + 3 = 99 and 6 movies

c)

3x + 15 = 99 and 28 movies

d)

3x + 99 = 15 and 28 movies

25.

What is the rate of change (slope) to rent a raft from Water's Edge Rafts?

4 lines

26.

Which company shows a greater rate of change?

4 lines

27.

Which panda is growing faster?

4 lines

28.

Who has the greater rate of change?

4 lines

29.

Who has a greater rate of change? (slope)

4 lines

30.

Find the rate of change

a)

1

b)

2

c)

11

d)

Not a constant slope/Non-Linear

31.

Write an equation in y = mx + b form of the line shown on the graph.

4 lines

32.

Which function has the GREATEST rate of change?

a)

b)

c)

d)

33.

Which function has the GREATEST initial value?

a)

b)

c)

d)

34.

Is this function linear or nonlinear?

a)

Linear

b)

Nonlinear

35.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

36.

Is the relation a function?
{(4,5), (4,-7), (4,2), (4,0), (4,9)}

a)

Yes

b)

No

37.

Is this table a function or not a function?

a)

Function

b)

Not a Function

38.

Is this a function? Explain.

a)

Yes; it passes the horizontal line test.

b)

No; it is not a straight line.

c)

Yes; it passes the vertical line test.

d)

No; there is a line connecting the dots.

39.

For the function f(x) = -3x + 3 find f(0).

a)

0

b)

-3

c)

3

d)

-1

40.

Is this a function or not?

a)

Function

b)

Not a Function

41.

Which graph does NOT pass the vertical line test?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

42.

Which set of values is not a function?

a)

(9,5) (10,5) (4,-5) (8,-5)

b)

(3,4) (4,-3) (7,4) (3, 8)

c)

(6,-5) (7, -3) (8, -1) (9, 1)

d)

(2, -2) (5, 9) (-5, -7) (1, 4)

43.

Is this set of ordered pairs a function or not a function?

a)

Function

b)

Not a Function

44.

If f(x) = x²-x+3, what would the function look like once you substitute in a -3 to find f(-3)?

a)

f(-3) = -3²-3+3

b)

f(-3) = (-3)² -(-3)+3

c)

f(-3) = (-3)² -3+3

45.

Sides a and b are called legs.

a)

true

b)

false

46.

Side c on a right triangle is ALWAYS the longest.

a)

true

b)

false

47.

Find h

a)

35.60

b)

35.00

c)

35.71

d)

61.03

48.

c= 97, b= 72, a=?

a)

35

b)

75

c)

65

d)

55

49.

Do the lengths form a right triangle? 6, 8, 10

a)

yes

b)

no

50.

Find the value of x.

a)

7

b)

8

c)

9

d)

10

51.

a² + b² = c^{2
a = 9 b = 40}

a)

c = 41

b)

c = 65

c)

c = 25

d)

c = 5

52.

a² + b² = c^{2
b = 35 c = 37}

a)

a = 12

b)

a = 11

c)

a = 18

d)

a = 14

53.

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

a)

25 feet

b)

26 feet

c)

27 feet

d)

28 feet

54.

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

55.

The size of a television screen is measured by the length of the diagonal of the screen. What size is a television screen that is 3 feet tall and 6 feet wide?

a)

18

b)

6.7

56.

√5 - 3 -2 is ______

a)

a rational number

b)

a natural number

c)

equal to zero

d)

an irrational number

57.

Which of the following numbers is irrational?

a)

√8

b)

¾

c)

2

d)

-1.325

58.

Which of the following is rational?

a)

.211232112421125. . . .

b)

π

c)

√25

d)

√12

59.

The √40 is between which two consecutive whole numbers?

a)

7 & 8

b)

4 & 5

c)

5 & 6

d)

6 & 7

60.

Round to the Nearest Tenth: √28

a)

5.6

b)

5.9

c)

5.3

d)

8

61.

Find the best estimate for √18 .
Look at the number line.

a)

4.2

b)

4.4

c)

5.1

d)

4

62.

Which is the best estimate of the square root of 63?

a)

7.1

b)

7.3

c)

7.5

d)

7.9

63.

Write 0.35 as a fraction in simplest form.

a)

35/100

b)

3.5/10

c)

7/20

d)

3/10

64.

If the volume of a cube is 27in³, what is the length of one side of the cube?

a)

3in

b)

9in

c)

2.7in

d)

3cm

65.

All natural (counting) numbers are..

a)

Whole numbers

b)

Whole numbers, integers

c)

Whole numbers, integers, rational numbers

d)

Whole numbers, integers, rational numbers and irrational numbers

66.

Solve.

a)

-1

b)

All real numbers

c)

No solution

d)

0

67.

Solve.

a)

1

b)

All real numbers

c)

No solution

d)

0

68.

Solve.

a)

4

b)

All real numbers

c)

No solution

d)

0

69.

Determine the type of solution you will have if you get
x=0.25

a)

one solution

b)

infinite solution=identity

c)

no solution

d)

I don't know. I need to study.

70.

Determine the type of solution you will have if you get
4=4

a)

one solution

b)

infinite solution=identity

c)

no solution

d)

I don't know. I need to study.

71.

$3\left(x+4\right)=3\left(x-8\right)$

a)

one solution

b)

no solution

c)

infinite solutions

72.

How many solutions are there?

THE GRAPHS OF TWO LINES WHICH ARE NOT PARALLEL.

a)

0

b)

1

c)

IMS

73.

How many solutions are there?

THE GRAPHS ARE PARALLEL LINES AND ALWAYS 3 UNITS APART.

a)

0

b)

1

c)

IMS

74.

How many solutions are there?

THE TWO EQUATIONS GRAPH ONTO THE SAME LINE.

a)

0

b)

1

c)

IMS

75.

What is the solution to the system of equations?

a)

No Solution

b)

(2, 0)

c)

Infinitely Many Solutions

d)

(0, 2)

76.

This system has _____ solutions

a)

no

b)

1

c)

2

d)

Infinitely many

77.

What is the number of solutions to the system of equations?

a)

No Solution

b)

Infinitely Many Solutions

c)

One Solution

d)

Two Solutions

Pre-Algebra review

Total questions: 77

Worksheet time: 3hrs 29mins

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