Free Printable Auxiliary Standards Review

1.

Simplify the following:

$x^2\ \cdot\ x^4$

a)

$x^6$

b)

$x^8$

c)

$x^{16}$

d)

$x^2$

2.

Simplify the following:

$3x^2\ ⋅\ 2x^4$

a)

$6x^6$

b)

$5x^8$

c)

$6x^8$

d)

$9x^6$

3.

Simplify the following:

$(x^3)^4$

a)

$x^{12}$

b)

$x^7$

c)

$x^1$

d)

$x^{81}$

4.

Simplify the following:

$(5x^5)^2$

a)

$25x^{10}$

b)

$25x^7$

c)

$10x^{10}$

d)

$10x^7$

5.

Simplify the following:

$\frac{x^{12}}{x^2}$

a)

$x^{10}$

b)

$x^6$

c)

$x^{14}$

d)

$x^{24}$

6.

Simplify the following:

$\frac{10x^{15}}{2x^3}$

a)

$5x^{12}$

b)

$5x^5$

c)

$5x^{18}$

d)

$8x^{12}$

7.

Simplify the following (CAREFUL!!!):

$\frac{x^{12}}{x^{-2}}$

a)

$x^{14}$

b)

$x^{-6}$

c)

$x^{10}$

d)

$\frac{1}{x^6}$

8.

Simplify the following:

$x^5\ \cdot\ x^{-5}$

a)

1

b)

$x^{-10}$

c)

$x^{-25}$

d)

$x^5$

9.

Simplify the following:

$\left(c^5\right)\left(c^3\right)\left(c^3\right)$

a)

$c^{45}$

b)

$3c^{11}$

c)

$c^{11}$

d)

$3c^{45}$

10.

Simplify the following:

$(2x^4y^7)^3$

a)

$6x^7y^{10}$

b)

$6xy^{32}$

c)

$8x^{12}y^{21}$

d)

$8x^7y^{10}$

11.

Simplify the following:

$x^{-5}$

a)

$x^{-5}$

b)

1

c)

$\frac{1}{x^5}$

d)

5x

12.

Simplify the following:

Your answer must be expressed as a positive exponent

$\frac{k^3}{k^7}$

a)

$k^4$

b)

$\frac{1}{k^4}$

c)

$k^{21}$

d)

$k^{-4}$

13.

Simplify the following:

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

a)

$x^4$

b)

$x^{20}$

c)

$x^8$

d)

$x^{10}$

14.

Match the following.

a)

Add the exponents

1.

$x^3\cdot x^6$

b)

Subtract the exponents

2.

$\frac{z^8}{z^4}$

c)

Multiply the exponents

3.

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

15.

Match the following.

a)

Add the exponents

1.

$\left(w^2\right)^2$

b)

Subtract the exponents

2.

$v^3\cdot v^5$

c)

Multiply the exponents

3.

$\frac{b^2}{b^4}$

16.

Simplify the following:

$(-4)^2$

a)

-8

b)

16

c)

-16

d)

8

17.

Simplify the following:

$7p^0$

a)

7

b)

1

c)

simplified

d)

7p

18.

Simplify the following:

$(5^3x^2y^4)^0$

a)

5xy

b)

1

c)

0

d)

5

19.

Simplify the following:

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

a)

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

b)

Can't be simplified

c)

xy²

d)

xy⁴

20.

Simplify the following:

$4n^2\ \cdot\ n$

a)

$4n^3$

b)

$4n$

c)

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

d)

$\frac{4}{n}$

21.

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

22.

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

a)

False

b)

True

23.

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

24.

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

a)

10

b)

itself

c)

1

d)

0

25.

Which of the following is correct scientific notation?

a)

20.35 x 10⁴

b)

.2035 x 10⁴

c)

2035⁴

d)

2.035 x10⁴

26.

Convert to scientific notation:

520,000,000

a)

52 x 10⁷

b)

5.2 x 10^-7

c)

5.2 x 10⁸

d)

0.52 x 10⁹

27.

Write 7.113 x 10⁷ in standard form.

a)

71,130,000

b)

7,113,000

c)

0.0000007113

d)

7,113

28.

Write 0.00000707 in scientific notation.

a)

7.07 x 10^-6

b)

7.07 x 10⁶

c)

707 x 10⁸

d)

707 x 10^-8

29.

Write 7.8 x 10^-3in standard form.

a)

0.0078

b)

7,800

c)

78

d)

0.078

30.

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

31.

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

32.

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

33.

Solve:
(6 x 10⁶) / (2 x 10³)

a)

12 x 10³

b)

3 x 10⁹

c)

1.2 x 10⁴

d)

3 x 10³

34.

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

35.

How do you write 1.28 x 10^-4

a)

0.128

b)

0.0000128

c)

0.0128

d)

0.000128

36.

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

37.

What is 1.1 x 10⁷in standard form?

a)

11,000,000

b)

11 x 10⁸

c)

1,100

d)

1.1

38.

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

39.

How do you write
8.317 x 10⁶in standard form?

a)

8, 371, 000

b)

83, 170, 000

c)

837, 100

d)

8, 317, 000

40.

What is the simplified version of

a)

3.9 x 10⁶

b)

4 x 10²⁰

c)

4 x 10⁶

d)

3.9 x 10²⁰

41.

A survey explored the relationship between gender and band class. Which is a reasonable conclusion?

a)

There are more band members than non-band members

b)

There are more boys in the class than girls

c)

There are more boys in band than not in band

d)

More than half of the bands members in the class are girls

42.

What was the most popular party type?

a)

Bowling

b)

Skating

c)

Dancing

d)

Total

43.

How many females were surveyed?

a)

10

b)

16

c)

26

d)

14

44.

How many chemical engineers chose Science as their favorite subject?

a)

80

b)

91

c)

171

d)

262

45.

What percent of people who attended the basketball game also attended the school play?

a)

38%

b)

47%

c)

25%

d)

54%

46.

What percent of the total people attended neither?

a)

15%

b)

19%

c)

.15

d)

7%

47.

What number should go in the blue box?

a)

21

b)

135

c)

19

d)

22

48.

How many total have no cell phone?

a)

13

b)

9

c)

22

d)

100

49.

How many total have an MP3 player?

a)

13

b)

57

c)

70

d)

100

50.

How many total people were surveyed?

a)

78

b)

22

c)

70

d)

100

51.

What type of correlation does this graph have?

a)

positive

b)

negative

c)

none

d)

all of the above

52.

You are analyzing a scatter plot that has a negative correlation. What is true of the of the x and y values?

a)

As x increases, y decreases

b)

As x increases, y increases

c)

As x decreases, y decreases

53.

How many students were surveyed total?

a)

116

b)

182

c)

81

d)

298

54.

How many students are in 8th grade and like History?

a)

36

b)

45

c)

81

d)

298

55.

According to the two-way table, a person who plays an instrument is most likely to:

a)

Not play an instrument

b)

Not play a team sport

c)

Play a team sport

d)

All of the above

56.

Which age group liked Action movies the least?

a)

18-25

b)

25-49

c)

50+

d)

238

57.

How many Females have High School Diplomas?

a)

21

b)

16

c)

44

d)

12

58.

How many people purchased no food and no drink?

a)

60

b)

10

c)

20

d)

200

59.

How many speak a foreign language and had a math grade above 90?

a)

70

b)

15

c)

80

d)

85

60.

How man had a math grade lower than 90?

a)

50

b)

60

c)

10

d)

15

61.

$\frac{\sqrt{4}}{6}$

a)

Rational

b)

Irrational

62.

$4.\overline{67}$

a)

Rational

b)

Irrational

63.

$\sqrt{49}$

a)

Rational

b)

Irrational

64.

$\sqrt{1000}$

a)

Rational

b)

Irrational

65.

$5.23568...$

a)

Rational

b)

Irrational

66.

$\sqrt{225}$

a)

Rational

b)

Irrational

67.

$\frac{2}{3}$

a)

Rational

b)

Irrational

68.

$\frac{\sqrt{9}}{\sqrt{16}}$

a)

Rational

b)

Irrational

69.

$0$

a)

Rational

b)

Irrational

70.

$-47.3$

a)

Rational

b)

Irrational

71.

$-\sqrt{125}$

a)

Rational

b)

Irrational

72.

$\sqrt{169}$

a)

Rational

b)

Irrational

73.

$\sqrt{144}$

a)

Rational

b)

Irrational

74.

$3.147...$

a)

Rational

b)

Irrational

75.

$\sqrt{10}$

a)

Rational

b)

Irrational

76.

$.\overline{6}$

a)

Rational

b)

Irrational

77.

$-\frac{4}{5}$

a)

Rational

b)

Irrational

78.

$-50$

a)

Rational

b)

Irrational

79.

$7.\overline{45}$

a)

Rational

b)

Irrational

80.

$\sqrt{175}$

a)

Rational

b)

Irrational

81.

What is true about angles 1 & 3?

a)

They are alternate interior.

b)

They are corresponding.

c)

They are vertical.

d)

They are alternate exterior.

82.

What is true about angles 1 & 7?

a)

They are alternate interior.

b)

They are corresponding.

c)

They are vertical.

d)

They are alternate exterior.

83.

What is true about angles 4 & 6?

a)

They are alternate interior.

b)

They are corresponding.

c)

They are vertical.

d)

They are alternate exterior.

84.

What is true about angles 3 & 5?

a)

They are alternate interior.

b)

They are corresponding.

c)

They are vertical.

d)

They are alternate exterior.

85.

What is true about angles 6 & 8?

a)

They are alternate interior.

b)

They are corresponding.

c)

They are vertical.

d)

They are alternate exterior.

86.

What is true about angles 4 & 5?

a)

They are alternate interior.

b)

They are corresponding.

c)

They are consecutive interior.

d)

They are alternate exterior.

87.

What is true about angles 2 & 8?

a)

They are alternate interior.

b)

They are corresponding.

c)

They are consecutive interior.

d)

They are alternate exterior.

88.

What is true about angles 3 & 6?

a)

They are alternate interior.

b)

They are corresponding.

c)

They are consecutive interior.

d)

They are alternate exterior.

89.

What is the m<5?

a)

$154\degree$

b)

$180\degree$

c)

$90\degree$

d)

$26\degree$

90.

What is the m<6?

a)

$154\degree$

b)

$180\degree$

c)

$90\degree$

d)

$26\degree$

91.

What is the m<2?

a)

$154\degree$

b)

$180\degree$

c)

$90\degree$

d)

$26\degree$

92.

What is the m<1?

a)

$154\degree$

b)

$180\degree$

c)

$90\degree$

d)

$26\degree$

93.

What is the m<3?

a)

$154\degree$

b)

$180\degree$

c)

$90\degree$

d)

$26\degree$

94.

What is the m<4?

a)

$154\degree$

b)

$180\degree$

c)

$90\degree$

d)

$26\degree$

95.

What is the m<7?

a)

$154\degree$

b)

$180\degree$

c)

$90\degree$

d)

$26\degree$

96.

Which pair of angles are congruent?

a)

<1 & <2

b)

<4 & <6

c)

<5 & <8

d)

<7 & <8

97.

Which pair of angles are congruent?

a)

<1 & <8

b)

<4 & <6

c)

<5 & <3

d)

<7 & <8

98.

Which pair of angles are congruent?

a)

<1 & <3

b)

<4 & <5

c)

<5 & <3

d)

<7 & <8

99.

Which pair of angles are supplementary?

a)

<1 & <4

b)

<4 & <5

c)

<5 & <3

d)

<7 & <3

100.

Which pair of angles are supplementary?

a)

<1 & <4

b)

<4 & <6

c)

<5 & <4

d)

<7 & <6

Auxiliary Standards Review

Total questions: 100

Worksheet time: 25hrs 0mins

Similar Resources on Wayground