Free Printable Cumulative Review

1.

How would you write 564,000,000 in scientific notation?

a)

5.64 x 10^-7

b)

5.64 x 10⁶

c)

5.64 x 10⁸

d)

56.4 x 10⁷

2.

When writing a number in scientific notation, the first number must be greater than 1, but less than 10.

a)

False

b)

True

3.

Express the following in scientific notation:
.000457

a)

457 x 10⁶

b)

457 x 10^-6

c)

4.57 x10⁴

d)

4.57 x 10^-4

4.

ANY number raised to a power of 0 will be....

a)

10

b)

itself

c)

1

d)

0

5.

Multiply:
(3.4 x 10⁵)(1.2 x 10^-3)

a)

4.08 x 10^-8

b)

4.8 x 10²

c)

4.08 x 10²

d)

4.08 x 10^-15

6.

Solve:
(6 x 10⁶) / (2 x 10³)

a)

12 x 10³

b)

3 x 10⁹

c)

1.2 x 10⁴

d)

3 x 10³

7.

Which is the smallest?
1.3 x 10²⁰2.9 x 10²¹9.5 x 10³²8.4 x 10¹⁹

a)

1.3 x 10²⁰

b)

2.9 x 10²¹

c)

9.5 x 10³²

d)

8.4 x 10¹⁹

8.

How do you write 1.28 x 10^-4

a)

0.128

b)

0.0000128

c)

0.0128

d)

0.000128

9.

Write in scientific notation. 0.0000000000000913

a)

9.13 x 10¹⁴

b)

9.13 x 10^-14

c)

9.13 x 10¹³

d)

9.13 x 10^-13

10.

Write 3,450,000 in scientific notation.

a)

34.5 x 10⁶

b)

3.45 x 10⁶

c)

3.45 x 10⁷

d)

34.5 x 10⁵

11.

Solve for the given variable:

5k + 9 = 19

a)

k = 3

b)

k = -5

c)

k = 2

d)

k = 6

12.

4 + 7a + 6 - 2a = 45

a)

a = 5

b)

a = 8

c)

a = - 4

d)

a = 7

13.

-9(w - 4) = 54

a)

w = 10

b)

w = -6

c)

w = -3

d)

w = -2

14.

x - 3 + 6x + 9 = 48

a)

x = 7

b)

x = 6

c)

x = - 3

d)

x = 9

15.

UPS charges $7 for the first pound, and $0.20 for each additional pound. FedEx charges $5 for the first pound and $0.30 for each additional pound. What is the equation for the pricing for UPS?

a)

7x + 0.20 = y

b)

7 + 0.20x = y

c)

5x + 0.30 = y

d)

5 + 0.30x = y

16.

14 - 2x = -2x + 18

a)

x = -1

b)

x = 1

c)

There is no solution.

d)

There are infinite solutions.

17.

88 = 25 + x

a)

x = 113

b)

x = -113

c)

x = -63

d)

x = 63

18.

Solve for x: 7 (2x - 4) = 42

a)

x = 2

b)

x = 8

c)

x= 5

d)

x = 9

19.

(r⁴)⁶

a)

10r

b)

r¹⁰

c)

24r

d)

r²⁴

20.

5³⋅5⁴

a)

5⁷

b)

5⁻¹

c)

5¹²

d)

5

21.

n²⋅n⁴⋅n⁵

a)

n¹¹

b)

n⁴⁰

c)

n¹³

d)

n²²

22.

(3y⁴)²

a)

9y⁸

b)

9y⁶

c)

6y⁸

d)

6y⁶

23.

Simplify the exponential expression.

a)

2x⁶y¹²

b)

2x⁵y⁷

c)

8x⁶y¹²

d)

8x⁵y⁷

24.

a)

10x⁹

b)

24x¹⁴

c)

24x⁹

d)

10x¹⁴

25.

Which is equivalent to 3⁴

a)

27

b)

9

c)

81

d)

12

26.

Simplify: $6^5\cdot6^2$

a)

$6^7$

b)

$6^3$

c)

$36^7$

d)

$6^{10}$

27.

$\frac{(6x^4)}{(2x^3)}$

a)

3x

b)

2x

c)

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

d)

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

28.

$\frac{(14r^2s^2)}{7rs}$

a)

$2rs$

b)

$2r^3s^3$

c)

$7rs$

d)

$7r^3s^3$

29.

Evaluate

a)

1/10

b)

-1/32

c)

1/32

d)

32

30.

a)

4⁹

b)

4⁴⁴

c)

4²¹

d)

4¹⁵

31.

Simplify √25

a)

5

b)

-5

c)

12.5

d)

5 & -5

32.

The √20 is between which two integers?

a)

2 & 3

b)

3 & 4

c)

4 & 5

d)

5 & 6

33.

5.5 is closest to which of the square roots listed below?

a)

√11

b)

√20

c)

√30

d)

√40

34.

_{^{Find the missing side}}

a)

48

b)

108

c)

83.6

d)

72

35.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

36.

a)

The diagonal is 26 ft

b)

The diagonal is 31 ft

c)

The diagonal is 21.8 ft

d)

The diagonal is 20.9 ft

37.

A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across. What is this distance?

a)

210 m

b)

180 m

c)

150 m

d)

79 m

38.

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

a)

yes

b)

no

39.

Which equation can be used to solve for "x"?

a)

15² – x² = 21²

b)

x² – 15² = 21²

c)

15² + 21² = x²

d)

21² – 15² = x²

40.

Solve for the missing side length

a)

6 ft

b)

5 ft

c)

82 ft

d)

20 ft

41.

Determine the length of the missing side.

a)

7

b)

8

c)

17

d)

23

42.

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

43.

side a on a right triangle is ALWAYS the longest side

a)

true

b)

false

44.

Solve for x
l 2x−1 l = 9

a)

x = 5 and x =-4

b)

x = 5 and x = -5

c)

Only x = 5

d)

No Solution

45.

Solve for x
l 5x l = 40

a)

x = 8 and x =-8

b)

x = 35 and x = -35

c)

Only x = 8

d)

No Solution

46.

∣ 2x + 9 ∣ = 15

a)

x = 3

b)

x = 3
x = -6

c)

x = 3
x = -12

d)

x = 6
x = -12

47.

What is the absolute value of | -7 |?

a)

-7

b)

7

c)

-7 and 7

48.

| 3x - 6 | - 9 = -3

a)

No Solution

b)

x = 0 and x = 4

c)

x = 2 and x = -2

d)

x = -4 and x = 4

49.

Evaluate each expression.
| x + 9 | = -5

a)

-14

b)

-4

c)

{-14, -4}

d)

no solution

50.

| x – 3 |= 0

a)

3

b)

-3

c)

{-3, 3}

d)

no solution

51.

What is the best classification for this number? -4

a)

natural

b)

whole

c)

integer

d)

rational

52.

What is the best classification for this number? 1/4

a)

integer

b)

rational

c)

natural number

d)

whole

53.

What is the best classification for this number? .35

a)

whole

b)

rational

c)

Integer

d)

natural number

54.

A whole number is an integer

a)

Always

b)

Sometimes

c)

Never

55.

A rational number can be written as a fraction?

a)

True

b)

False

56.

The numbers 0,1,2,3...are called?

a)

whole numbers

b)

integers

c)

rational numbers

d)

natural numbers

57.

-3.5 is an integer?

a)

True

b)

False

58.

What is the best classification for this number? (how far down can you push this into the Venn Diagram)

-4

a)

none of these

b)

whole

c)

integer

d)

rational

59.

Which of the following is not an integer?

a)

0

b)

1.57

c)

-6

d)

10

60.

Which of the following describe $\sqrt[]{23}$ ?

Select all that apply.

a)

irrational number

b)

rational number

c)

natural number

d)

whole number

e)

integer

61.

Write a verbal expression for:

2a+6

a)

6 more than the product of 2 and a number

b)

6 less than the product of 2 and a number

c)

6 more than the quotient of 2 and a number

d)

twice a number plus 6

62.

What word phrase can you use to represent "5x + 2"?

a)

5 times a number plus 2

b)

2 more than the product of 5 and a number

c)

a number times the sum of 5 and 2

d)

the sum of 5 times a number and 2

63.

If c represents the cookies the Joe bought, which expression shows how much he split between himself and 3 siblings?

a)

$\frac{c}{4}$

b)

$4c$

c)

$c\ +\ 4$

d)

$c\ -\ 4$

64.

If p represents the points Kia scored in a game, which expression shows how she tripled her point total?

a)

$3p$

b)

$3\ -\ p$

c)

$3\ +\ p$

d)

$\frac{p}{3}$

65.

Use the distributive property to simplify the expression:
(5+w)5

a)

55 + 5w

b)

25 + 5w

c)

10 + 5w

d)

5 + 5w

Cumulative Review

Total questions: 65

Worksheet time: 4hrs 6mins

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