Free Printable Pre-algebra Review

1.

Simplify: 6x²(4x³)

a)

24x⁵

b)

10x⁵

c)

24x⁶

d)

10x⁶

2.

Simplify the expression:
3g - 4r + 2(g - r)

a)

5g-6r

b)

5g+5r

c)

5g

d)

g+3r

3.

3x²(2x⁴y³)

a)

6x⁶y³

b)

5x⁶y³

c)

6x⁸y³

d)

6x⁸y⁶

4.

7. -4y = 48

a)

x = -52

b)

x = -12

c)

x = -44

d)

x = -13

5.

Solve the equation:
-3 + x = -12

a)

x = 9

b)

x = -15

c)

x = -9

d)

x = 15

6.

-10(5x-3) = 330

a)

x=9

b)

x=55

c)

x=6

d)

x=-6

7.

7w + 5 = 3w - 15

a)

5

b)

-2

c)

2

d)

-5

8.

Use the SLOPE FORMULA to find the slope of these two points: (-3,7) ad (-3,10)

a)

0

b)

0/3

c)

1/3

d)

undefined

9.

Use the SLOPE FORMULA to find the slope of these two points: (-5,10) ad (-17,25)

a)

-15/12

b)

12/15

c)

-5/4

d)

4/5

10.

In the equation, y = 2x what is the y-intercept "b"

a)

x

b)

2

c)

0

d)

undefined

11.

In the equation, y = -4 what is the y-intercept "b"

a)

y

b)

-4

c)

0

d)

undefined

12.

In the equation, y = -4 what is the slope "m"

a)

y

b)

-4

c)

0

d)

undefined

13.

In the equation, x = 9 what is the slope "m"

a)

x

b)

9

c)

0

d)

undefined

14.

Combine like terms:

14z + 3y + 7y =

a)

20yz

b)

14z + 10y =

c)

17y + 7y =

d)

none of the above

15.

You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?

a)

$8 per pound

b)

$5 per pound

c)

$35 per pound

d)

0.125 pounds per dollar

16.

What number is missing?

a)

12

b)

3

c)

11

d)

13

17.

A class has 30 students. 18 are boys. What is the ratio of boys to girls?

a)

12:18

b)

3:2

c)

30:18

d)

18:7

18.

17-(-3)

a)

14

b)

20

c)

17

d)

3

19.

Solve for x

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

20.

Find the volume of the sphere.

a)

4186.7 cm cubed

b)

523.3 cm cubed

c)

1570 cm cubed

21.

If the cylinder and cone have the same base and height, how many cones of water will it take to fill the cylinder?

a)

1

b)

2

c)

3

d)

4

22.

Find the volume of the cone.

a)

98.9 mm cubed

b)

65.9 mm cubed

c)

197.8 mm cubed

23.

Find the volume of the cylinder.

a)

150 cm cubed

b)

78.5 cm cubed

c)

235.5 cm cubed

24.

Determine the type of slope

a)

Undefined

b)

Zero

c)

Negative

d)

Positive

25.

Find the slope of the line.

a)

1/4

b)

-1/4

c)

-4

d)

4

26.

Does this transformation show a translation, rotation, or reflection?

a)

rotation

b)

translation

c)

reflection

27.

Name the transformation.

a)

Translation

b)

Reflection

c)

Rotation

28.

What is the opposite of squaring a number?

a)

divide

b)

multiply

c)

subtract

d)

square root

29.

Slope, in basic terms, is simply...

a)

Rise over run

b)

Run over rise

c)

Left over down

d)

Right over up

30.

In the equation y=mx+b, m is the ____.

a)

Slope

b)

Y-intercept

c)

X-intercept

d)

Origin

31.

Name the type of slope

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

32.

The vertical axis is the _____.

a)

X-axis

b)

Y-axis

c)

Origin

d)

Slope

33.

The horizontal axis is the _____.

a)

X-axis

b)

Y-axis

c)

Origin

d)

Slope

34.

What is the slope of the table?

a)

-4

b)

1

c)

4

d)

-2

35.

The √40 is between which two integers?

a)

7 & 8

b)

6 & 7

c)

5 & 6

d)

4 & 5

36.

Which is NOT a perfect square?

a)

144

b)

225

c)

324

d)

175

37.

Which of the following is rational?

a)

.211232112421125. . . .

b)

π

c)

√25

d)

√12

38.

Find the slope of the line f(x) = -3/5x - 6

a)

-3/5

b)

5/3

c)

-6

d)

6

39.

Write an equation for this relationship.

a)

y=1/5x

b)

y=1/2x

c)

y=2x

d)

y=5x

40.

Write an equation for this situation.

a)

y=9.75x

b)

y=19x

c)

y=19.25x

d)

y=9.5x

41.

Which equation represents this proportional relationship?

a)

y = 2x

b)

y = 1x

c)

y = 1/2 x

d)

y = 4x

42.

Which is not a function?

a)

b)

c)

d)

43.

What is the range of f(x)=5x-1 if the domain is {0, 2, 4}

a)

{-1, 9, 19}

b)

{-1, 10, 20}

c)

{0, 2, 4}

d)

{1, 11, 21}

44.

Which ones are linear?

a)

b)

c)

d)

45.

Which graph is
$y=-\frac{1}{2}x-1$

a)

b)

c)

d)

46.

Which one is a function?

a)

b)

c)

d)

47.

What is equivalent to $6^4$

a)

6 x 6 x 6 x 6

b)

6 x 4

c)

4 + 4 + 4 + 4 + 4 + 4

d)

6 + 4

48.

What type of number is $\sqrt{19}$

a)

Rational

b)

Irrational

c)

Whole

d)

Integer

49.

Simplify the expression
$2^7\cdot2^{-3}$

a)

$2^4$

b)

$2^{-21}$

c)

$2^{10}$

d)

$2^{-10}$

50.

Write using scientific notation

1,730,000,000

a)

$1.73\ x\ 10^9$

b)

$1.73\ x\ 10^8$

c)

$1.73\ x\ 10^{10}$

d)

$1.73\ x\ 10^{-7}$

51.

What is the value of $4^{-2}$

a)

1/16

b)

-16

c)

-8

d)

1/8

52.

a)

Function

b)

Not a function

53.

The temperature today will be greater than 40 degrees. Write an inequality.

a)

t < 40

b)

40 > t

c)

t > 40

54.

If Mr. Johnson can drive 332 miles in 5 hours, how long would it take him to drive 500 miles if he continued at the same speed?

a)

7.53

b)

3.44

c)

11.36

d)

8.76

55.

If Justin can type 408 words in 4 minutes, how many words can he type per minute?

a)

102 words per minute

b)

100 words per minute

c)

400 words per minute

d)

412 words per minute

56.

Which set below is the domain of

{ (2, -3), (-1, 0), (0, 4), (4, -2) }?

a)

{-3, 0, 4, 5, -2}

b)

{2, -1, 4}

c)

{-3, 4, 5, -2}

d)

{2, -1, 0, 4}

57.

Which equation represents the phrase "six more than twice a number is 72"?

a)

6 + x = 72

b)

2 + 6x = 72

c)

2x = 6 + 72

d)

6 + 2x = 72

58.

Which of the following graphs best represents a person walking slowly and then speeding up?

a)

b)

c)

d)

59.

Choose the Lower number

a)

2.1 × 10^-8

b)

1.2 × 10^-5

60.

This store had an area of 81 square feet. What is the length of one side of the building? hint: (take the square root of the area to find the side)

a)

9

b)

324

c)

158

61.

Johnny was putting a fence around his square yard that had an area of 25ft . How much fence did he need to build to go around it. hint: Find perimeter.

a)

20 ft

b)

50 ft

c)

5 ft

62.

What is the letter is a the the ordered pair (0, 3)?

a)

A

b)

M

c)

R

d)

L

63.

Which number is rational below?

a)

√20

b)

√64

c)

6π

d)

√7

64.

a)

7/50

b)

14/9

c)

7/45

d)

14/99

65.

Find the error in the problem below
19 - 2k = 3k - 1
+3k +3k
19 + 1k = -1
-19 -19
k = -20

a)

They should have divided by 1 for the last step

b)

They should add 19 instead of subtracting 19

c)

I can not find an error

d)

Instead of adding 3k they should subtract 3k

Pre-algebra Review

Total questions: 65

Worksheet time: 4hrs 43mins

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