Free Printable Quiz 6-2 Review

1.

6m³n³* 8m²n³

a)

48m⁵n⁹

b)

48m⁶n⁶

c)

48m⁵n⁶

d)

none of the above

2.

6k² * k

a)

6

b)

6k

c)

6k²

d)

6k³

3.

2n⁴ * 6n⁴

a)

8n⁴

b)

12n⁸

c)

8n¹⁶

d)

none of the above

4.

9xy² * 9x⁵y²

a)

81x⁶y⁴

b)

18x⁶y⁶

c)

9x⁶y⁴

d)

none of the above

5.

Simplify the following expression:
-8x + 4x

a)

-12x

b)

-4x

c)

4x

d)

12x

6.

Simplify by combining like terms:
5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

7.

Simplify the expression: 2x + 1 + 7x

a)

10x

b)

10

c)

9x + 1

d)

9 + 1x

8.

-4x - 10x

a)

-14

b)

6x

c)

-6x

d)

-14x

9.

Combine like terms
3x + 2x + 3y - 7y

a)

5x + 10y

b)

5x + 4y

c)

5x - 4y

d)

5x -10y

10.

(d⁴)(d⁵)

a)

2d⁴

b)

d⁹

c)

d²

d)

2d

11.

Simplify (-7y²)(5y⁴)

a)

-35y⁶

b)

-2y⁶

c)

-35y⁸

d)

-2y⁸

12.

Simplify the following expression:
-10x + 15 - 3x + 2

a)

13x² + 17

b)

-13x² + 13

c)

-13x + 17

d)

-7x + 17

13.

Simplify: (-3x²)(6x⁵)

a)

-18x¹⁰

b)

3x¹⁰

c)

-18x⁷

d)

3x⁷

14.

Simplify: (6x⁷)(4x²)

a)

10x⁹

b)

24x¹⁴

c)

24x⁹

d)

10x¹⁴

15.

Simplify: -13y⁶ + 8y⁶

a)

5y¹²

b)

-5y¹²

c)

-5y⁶

d)

-5

16.

Simplify: 3c⁷- 10c⁷

a)

-7c

b)

-7c⁷

c)

7c⁷

d)

-7c⁰

17.

Simplify:
2c³ + 8c³

a)

10c⁶

b)

10c⁹

c)

10c³

d)

10 + c³

18.

Simplify:
-10y²+ 5y

a)

15y³

b)

-5y²

c)

-5y

d)

-10y²+ 5y

19.

Simplify: (-20x⁶)(-10x⁴)

a)

200x¹⁰

b)

-30x¹⁰

c)

200x²⁴

d)

-30x²⁴

20.

2n⁴ * 5n⁴

a)

7n⁴

b)

10n¹⁶

c)

10n⁸

d)

none of the above

21.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

22.

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

a)

add

b)

subtract

c)

multiply

d)

divide

23.

According to exponent rules, when we multiply expressions with same bases we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

24.

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

a)

add

b)

subtract

c)

multiply

d)

divide

25.

Simplify the following expression:

-9⁰

a)

-9

b)

0

c)

-1

d)

1

26.

x⁻⁶

a)

1 ⁄ x⁶

b)

x⁶

c)

-x⁶

d)

-1 ⁄ x⁶

27.

Simplify.

(2n⁴ )( 5n⁴⁾

a)

7n⁴

b)

10n¹⁶

c)

10n⁸

d)

none of the above

28.

Simplify.

a)

a⁸b¹³

b)

a²b⁷

c)

a¹⁵b³⁰

d)

none of the above

29.

Simplify.

3x⁻²

a)

b)

c)

d)

30.

b³b⁴b⁷b

a)

b

b)

b¹⁴

c)

b¹⁵

d)

b⁸⁴

31.

Simplify (-1/2)⁰

a)

1

b)

0

c)

-1

d)

-2

32.

Evaluate this expression using the quotient rule.

a)

9⁵

b)

9⁹

c)

1⁵

d)

9^-5

33.

Evaluate the expression using the quotient rule.

a)

1

b)

g¹⁰

c)

g²⁵

d)

g

34.

(2x³y)⁶

a)

2x¹⁸y⁶

b)

64x¹⁸y⁶

c)

64x³y⁶

d)

2x³y⁶

35.

Simplify.

(5²)³

a)

5⁶

b)

5⁵

c)

5⁷

d)

5⁸

36.

Simplify:

(6k²)(k)

a)

7k³

b)

7k²

c)

6k²

d)

6k³

37.

Simplify:

(7y⁴)²

a)

7y⁶

b)

14y⁸

c)

49y⁶

d)

49y⁸

38.

Simplify:

(2ab)³

a)

8a³b³

b)

2ab³

c)

6a³b³

d)

8ab

39.

Simplify the expression.

a)

9x³

b)

2x³

c)

2x⁴

d)

9x⁴

40.

Simplify.

(3x⁴y⁵)²

a)

9x⁸y¹⁰

b)

6x⁸y¹⁰

c)

3x⁸y¹⁰

d)

x⁸y¹⁰

41.

$\left(x^4\right)^2$

a)

$x^8$

b)

$x^6$

42.

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

a)

$-2x^5$

b)

$-6x^6$

c)

$-8x^5$

d)

$-8x^6$

43.

$\left(y^3\right)^4$

a)

$y^7$

b)

$y^{12}$

44.

$\left(-5y^4\right)^2$

a)

$25y^6$

b)

$-25y^8$

c)

$25y^8$

d)

$-5y^8$

45.

$\left(3x^2y^2\right)^2$

a)

$9x^4y^4$

b)

$6x^4y^4$

c)

$3x^4y^4$

d)

$6x^2y^2$

46.

$-6\left(2x^5\right)^3$

a)

$-12x^8$

b)

- $-24x^{15}$

c)

$48x^{15}$

d)

$-48x^{15}$

47.

$\left(a^3\right)^2\left(b^4\right)^3$

a)

$a^5b^7$

b)

$a^6b^{12}$

48.

$\left(3xy\right)\left(-2x^2\right)^2\left(y^2\right)^5$

a)

$-6x^{3^{ }}y^{10}$

b)

$12x^5y^{11}$

c)

$-12x^5y^{11}$

d)

$-12x^5y^8$

49.

$\left(3a^3b^2c^2\right)^3\left(a^2c\right)^4$

a)

$9a^{12}b^5c^9$

b)

$9a^{17}b^6c^{10}$

c)

$27a^{17}b^6c^{10}$

d)

$27a^{12}b^5c^9$

50.

$\left(3xy\right)\left(-2x^2\right)^2\left(y^2\right)^5$

a)

$-6x^{3^{ }}y^{10}$

b)

$12x^5y^{11}$

c)

$-12x^5y^{11}$

d)

$-12x^5y^8$

51.

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

a)

add

b)

subtract

c)

multiply

d)

divide

52.

(5²)³

a)

5⁶

b)

5⁵

c)

5⁷

d)

5⁸

53.

(r⁴)⁶

a)

10r

b)

r¹⁰

c)

24r

d)

r²⁴

54.

Simplify:

a)

A

b)

B

c)

C

d)

D

55.

SimplifY

a)

A

b)

B

c)

C

d)

D

56.

Simplify

a)

A

b)

B

c)

C

d)

D

57.

Simplify

a)

A

b)

B

c)

C

d)

D

58.

SimplifY

a)

A

b)

B

c)

C

d)

D

59.

Simplify

a)

A

b)

B

c)

C

d)

D

60.

Simplify:

a)

A

b)

B

c)

C

d)

D

61.

Simplify

a)

A

b)

B

c)

C

d)

D

62.

Simplify

a)

A

b)

B

c)

C

d)

D

63.

Simplify

a)

A

b)

B

c)

C

d)

D

64.

$6^{-2}$

a)

$-6$

b)

$-36$

c)

$\frac{1}{36}$

d)

$36$

65.

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

a)

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

b)

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

c)

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

66.

$\left(a^{-3}b^4c\right)^{-2}$

a)

$\frac{c^2}{a^6b^8}$

b)

$\frac{b^8}{a^6c^2}$

c)

$\frac{a^6}{b^8c^2}$

67.

$-12m^4n^{-3}p^{-2}$

a)

$\frac{-12n^3P^2}{m^4}$

b)

$\frac{-12}{m^4n^4p^2}$

c)

$\frac{m^4}{-12n^3p^2}$

d)

$\frac{-12m^4}{n^3p^2}$

68.

$x^9\cdot x^{-7}\cdot x^{-10}$

a)

$x^8$

b)

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

c)

$x^{26}$

d)

$\frac{1}{x^{26}}$

69.

$6g^{-3}\cdot2g^8$

a)

$\frac{12}{g^3}$

b)

$\frac{12}{g^5}$

c)

$12g^5$

d)

$12g^{11}$

70.

$\left(j^{-1}k\right)^{-3}\cdot\left(j^{-5}k^4\right)^2$

a)

$\frac{k^5}{j^7}$

b)

$\frac{j^7}{k^5}$

c)

$j^{13}k^{11}$

d)

$j^7k^5$

71.

$\frac{d^{-4}}{\left(a^{-6}b^3\right)^3}$

a)

$\frac{a^{18}b^9}{d^4}$

b)

$\frac{d^4}{a^{18}b^9}$

c)

$\frac{a^{18}}{b^9d^4}$

72.

$y^4\cdot y^{-4}$

a)

$1$

b)

$0$

c)

$y^8$

d)

$y^{16}$

73.

$\left(\frac{x^{-4}y^6}{z^2}\right)^{-3}$

a)

$\frac{x^{12}z^6}{y^{18}}$

b)

$\frac{y^{18}}{x^{12}z^6}$

c)

$\frac{z^6}{x^{12}y^{18}}$

d)

$\frac{x^{12}}{z^6y^{18}}$

74.

$0^0$

a)

0

b)

undefined

c)

1

75.

How would you write 4.3756 x 10⁴in standard form?

a)

437,560,000

b)

0.00043756

c)

43,756

d)

4,3756

76.

How would you write 0.0005 in scientific notation?

a)

50 x 10^-5

b)

5 x 10^-4

c)

5 x 10³

d)

.5 x 10³

77.

Which of the following is correct scientific notation?

a)

20.35 x 10⁴

b)

.2035 x 10⁴

c)

2035⁴

d)

2.035 x10⁴

78.

If the exponent is a positive number the original number was...

a)

a really big number.

b)

a really small number.

79.

If the exponent is a negative number the original number was...

a)

a really large number.

b)

a really small number.

80.

Multiply:
(9.4 x 10⁶)(3.2 x 10⁵)

a)

30.08 x 10¹¹

b)

3.8 x 10¹

c)

3.008 x 10¹²

d)

2.9375 x 10¹

81.

What do you do to your exponents when you are dividing in scientific notation?

a)

Subtract

b)

Divide

c)

Multiply

d)

Add

82.

What do you do to your exponents when you are multiplying in scientific notation?

a)

Subtract

b)

Multiply

c)

Divide

d)

Add

83.

Divide:
(6.9 x 10⁷) / (2.3 x 10^-3)

a)

3 x 10¹⁰

b)

3 x 10⁴

c)

3 x 10^-4

d)

3 x 10^-11

84.

If you add to your exponent of 10, you move your decimal...

a)

Left

b)

Right

c)

Up

d)

Down

85.

If you subtract from your exponent of 10, you move your decimal to the ....

a)

Right

b)

Left

c)

North

d)

South

86.

(9.6×10^-8)÷(2×10^-15)

a)

-4.8×10⁷

b)

4.8×10⁷

c)

4.8×10^-7

d)

-4.8×10^-7

87.

What is the simplified version of

a)

3.9 x 10⁶

b)

4 x 10²⁰

c)

4 x 10⁶

d)

3.9 x 10²⁰

88.

Subtract withing scientific notation
(7.32 x 10⁶) - (4.01 x 10⁸)

a)

-3.937 x 10⁸

b)

3.937 x 10⁸

c)

3.937 x 10⁷

d)

3.937 x ⁻²

89.

Add withing scientific notation
(5.2 x 10⁷) + (3.01 x 10⁴)

a)

5.20301 x 10¹¹

b)

.520301 x 10⁷

c)

5.20301 x 10⁷

d)

5.20301 x 10⁸

90.

Add within scientific notation
(6.2 x 10²) + (9.7 x 10⁰)

a)

.6297 x 10²

b)

6.297 x 10⁰

c)

6.297 x 10³

d)

6.297 x 10²

91.

Subtract the within the scientific notation.
(2 x 10³) - (1.9 x 10²)

a)

1.81 x 10⁵

b)

1.81 x 10³

c)

1.81 x 10⁶

d)

1.81 x 10⁴

92.

What is the ONLY thing that matters when adding and subtracting numbers in scientific notation?

a)

That the exponents are different

b)

That the constants are the same

c)

That the exponents are the same

d)

That both constants are positive

93.

True or false: When moving the decimal, if you move left, the exponent gets bigger, and if you move right, it gets smaller.

a)

True

b)

False

94.

How many numbers can be in front of the decimal if the number is in correct scientific notation?

a)

Only a Zero

b)

One

c)

Two

d)

Any amount

95.

In Australia, the people use approximately 2,240,000,000 pounds of bread in a year. How can we write this number in scientific notation?

a)

2.240 x 10^-9

b)

224 x 10⁶

c)

2.2 x 10⁶

d)

2.240 x 10⁹

96.

The average width of a piece of human hair is .0001m. What is this measurement in scientific notation?

a)

1 x 10⁴

b)

1 x 10^-4

c)

10 x 10^-5

d)

1 x 10^-3

97.

Select all that are correctly written in scientific notation.

a)

56.7 x 10³

b)

3.4 x 10^-4

c)

5 x 10^-99

d)

10⁵

e)

3.75 x 10

98.

To multiply amounts in scientific notation, you can simply _______ the decimals and _______ the exponents.

a)

multiply...add

b)

add...add

c)

multiply...subtract

d)

multiply...multiply

99.

To divide amounts in scientific notation, you can simply _______ the decimals and _______ the exponents.

a)

divide...subtract

b)

subtract...subtract

c)

divide...add

d)

divide...divide

100.

When you move the decimal to the left in scientific notation, it __________ the exponent.

a)

increases

b)

decreases

101.

When you move the decimal to the right in scientific notation, it __________ the exponent.

a)

increases

b)

decreases

102.

Add.

(2 x 10³) + (5 x 10⁵)

a)

7 x 10²

b)

10 x 10¹⁵

c)

5.02 x 10⁵

d)

1.0 x 10²

103.

Subtract

(3 x 10³) - (5 x 10²)

a)

2 x 10¹

b)

2.5 x 10³

c)

2.5 x 10²

d)

-2 x 10¹

104.

Multiply.

(4.2 x 10⁵) (3.1 x 10⁴)

a)

1.302 x 10⁹

b)

7.3 x 10¹

c)

13.02 x 10⁹

d)

1.302 x 10¹⁰

105.

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

106.

Divide.

(6.9 x 10⁷) / (2.3 x 10^-3)

a)

3 x 10¹⁰

b)

3 x 10⁴

c)

3 x 10^-4

d)

3 x 10^-11

107.

In the year 2000, the United States public debt was about 5.6 x 10¹² dollars. The population of the United States in that year was about 2.8 x 10⁸ people. How much you calculate the average debt per person?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

108.

Earth is approximately 5.9 x 10²⁴ kg and Venus is approximately 4.9 x 10²⁴ kg. How would you find the combined mass of the two planets?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

109.

There are approximately 3.1 x 10⁸ people in the United States. If each person has 4.1 x 10¹ coins, how would you calculate how many coins are there altogether?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

110.

In-state students from Minnesota pay $1.4 x 10⁴ for tuition at the University of Minnesota. Out-of-state students pay $2.4 x 10⁴ for tuition. How many times more does an out-of-state student pay than an in-state student?

a)

About 17 times more.

b)

About 1 times more.

c)

About 0.58 times more.

d)

About 1.7 times more.

111.

The average person blink 2.88 x 10⁴ times a day. How many times does a person blink in year (365 days)? Write your answer in scientific notation

a)

367.88 x 10⁴

b)

1.0512 x 10⁷

c)

1051.2 x 10⁴

d)

3.6788 x 10⁷

112.

There are approximately 3.1 x 10⁸ people in the United States. If each person has 4.1 x 10¹ coins, how many coins are there altogether?

a)

1.271 x 10¹⁰

b)

1.271 x 10⁹

c)

1.271 x 10¹¹

d)

1.271 x 10⁸

113.

By area, Russia is the largest country in the world. It has an area of 8.649 x 10⁶ square miles. Canada is second with 4.797 x 10⁶ square miles. What is the difference in area?

a)

3.852 x 10⁶ square miles

b)

3.852 x 10⁰ square miles

c)

1.803 x 10⁶ square miles

d)

1.803 x 10¹ square miles

Quiz 6-2 Review

Total questions: 113

Worksheet time: 28hrs 15mins

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