Free Printable 7th Unit 1: int/frac ops, absval, sq(rt), expon.laws, sci.not.

1.

$-6\cdot-7=$

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2.

$-12\cdot-3=$

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3.

$-6\cdot-7=$

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4.

$8\cdot-2=$

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5.

$-12\cdot-3=$

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6.

$-1\cdot4=$

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7.

$\frac{1}{2}\cdot-8=$

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8.

$-3\cdot5=$

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9.

The same rules apply to multiplying integers as to dividing integers.

a)

True

b)

False

c)

Sometimes

10.

The absolute value of a number is...

a)

The same number but with the opposite sign

b)

1 more or 1 less than that number

c)

The distance of that number from 0

d)

Always negative

11.

$-20\div-5=$

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12.

$-10\div-2=$

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13.

$-16\div-4=$

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14.

$-35\div5=$

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15.

$-60\div10=$

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16.

$-48\div12=$

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17.

$-18\div3=$

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18.

$25\div-25=$

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19.

$28\div-7=$

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20.

$30\div-15=$

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21.

$40\div-10=$

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22.

$3+(-6)=$

a)

-3

b)

3

c)

-18

d)

18

23.

$3-9=$

a)

12

b)

6

c)

-6

d)

3

24.

$-6+(-8)=$

a)

-14

b)

14

c)

-48

d)

48

25.

$-4-(-4)=$

a)

8

b)

-4

c)

0

d)

-8

26.

$-5-7=$

a)

12

b)

-12

c)

-2

d)

2

27.

$-14+5=$

a)

19

b)

-9

c)

11

d)

9

28.

$-8-(-3)=$

a)

5

b)

11

c)

-11

d)

-5

29.

$-17-\left(-2\right)=$

a)

19

b)

-19

c)

15

d)

-15

30.

$15+\left(-21\right)=$

a)

-6

b)

36

c)

-36

d)

6

31.

$7\left(-4\right)=$

a)

3

b)

-3

c)

28

d)

-28

32.

$-6\left(-8\right)$

(a)

33.

$-18-12=$

a)

6

b)

-6

c)

30

d)

-30

34.

Subtracting a negative is the same as...

a)

Becoming more negative

b)

Adding a positive

c)

Becoming 0

d)

Impossibility

35.

$12+(-3)\ =$

a)

9

b)

-9

c)

15

d)

-15

36.

$7+(-13)=$

a)

-6

b)

6

c)

-20

d)

20

37.

$-4-16=$

a)

-20

b)

20

c)

-12

d)

12

38.

$-6-(-8)\ =$

a)

-2

b)

2

c)

-14

d)

14

39.

$3-(-13)=$

a)

-10

b)

10

c)

-16

d)

16

40.

$-6+21=$

a)

-27

b)

15

c)

127

d)

27

41.

$-10+10=$

a)

20

b)

0

c)

-100

d)

1,000,000

42.

$-14+(-3)=$

a)

-17

b)

11

c)

-11

d)

17

43.

$-5-7=$

a)

12

b)

-12

c)

-2

d)

2

44.

$-10-47=$

a)

-37

b)

-57

c)

57

d)

37

45.

$2-(-9)=$

a)

-7

b)

18

c)

6

d)

11

46.

$2-14=$

a)

12

b)

-12

c)

28

d)

none of these

47.

⁴/₉ ÷ ¹/₂

a)

⁸/₉

b)

⁵/₁₁

c)

⁶/₁₀

d)

⁴/₁₈

48.

Change $5\ \frac{3}{4}$ into an improper fraction

a)

23/4

b)

4/23

c)

20/4

d)

5 4/3

49.

a)

5/6

b)

3/15

c)

3/8

d)

2/15

50.

Multiply

a)

5 / 18

b)

16 / 15

c)

28 / 9

d)

4 / 9

51.

\frac{3}{6}\div\ \frac{4}{5}

a)

$\frac{12}{30}$

b)

$\frac{15}{24}$

c)

$\frac{18}{24}$

d)

$\frac{24}{15}$

52.

What is

$\frac{1}{4}\div\ \frac{4}{5}$

a)

$\frac{1}{5}$

b)

$\frac{5}{16}$

c)

$\frac{4}{1}$

d)

$\frac{3}{4}$

53.

a)

$\frac{6}{40}$

b)

$\frac{3}{4}$

c)

$\frac{1}{2}$

d)

$\frac{12}{20}$

54.

$Solve:\ \ \ \ \ \frac{8}{9}\div\frac{1}{3}\ =\$

a)

$\frac{24}{9}$

b)

$\frac{9}{27}$

c)

$\frac{9}{24}$

d)

$\frac{3}{4}$

55.

$\frac{7}{8}\div\frac{3}{4}$

a)

$\frac{12}{56}$

b)

$\frac{56}{12}$

c)

$\frac{28}{24}$

d)

$\frac{21}{32}$

56.

You need a common denominator for...

a)

Adding fractions

b)

Subtracting fractions

c)

Multiplying fractions

d)

Dividing fractions

57.

$\left|-67\right|$

a)

-67

b)

67

c)

0

d)

1

58.

$\left|20\right|$

a)

20

b)

-20

c)

1/20

d)

square root of 20

59.

$\left|30-40\right|$

a)

-10

b)

10

c)

70

d)

-70

60.

$\left|11-6\right|$

a)

-17

b)

17

c)

5

d)

-5

61.

$7^2$

a)

14

b)

7/2

c)

49

d)

42

62.

$9^2$

a)

18

b)

11

c)

72

d)

81

63.

$\sqrt[]{121}$

a)

11

b)

11 and -11

c)

12

d)

60.5

64.

$\sqrt[]{25}$

a)

5 and -5

b)

5

c)

12.5

d)

25

65.

Estimate $\sqrt[]{34}$

a)

5

b)

6

c)

17

d)

5.8

66.

Estimate $\sqrt[]{108}$

a)

10.1

b)

10.4

c)

10.8

d)

10

67.

Estimate $\sqrt[]{140}$

a)

12.2

b)

11.2

c)

11.8

d)

12.8

68.

How do you use a prime factorization tree to find a square root?

a)

Multiply all the prime factors together

b)

Split the prime factors into two equal groups and multiply within a group

c)

Because trees have roots

d)

The number at the top is the square root

69.

$7^0$

a)

7

b)

0

c)

1

d)

1/7

70.

$\left(-5\right)^0$

a)

1

b)

-5

c)

0

d)

-1

71.

$3^{-2}$

a)

$-6$

b)

$-9$

c)

$\frac{1}{9}$

d)

$-\frac{1}{9}$

72.

$5^{-2}$

a)

$\frac{1}{25}$

b)

$-25$

c)

$-10$

d)

$-\frac{1}{25}$

73.

$\left(-8\right)^{-2}$

a)

$\frac{1}{64}$

b)

$-\frac{1}{64}$

c)

$16$

d)

$\frac{1}{16}$

74.

$3a^7+5a^7$

a)

$15a^{49}$

b)

$8a^{14}$

c)

$8a^7$

d)

$15a^7$

75.

$12y^4-3y^4$

a)

$4y^4$

b)

$4y^0$

c)

$9y^0$

d)

$9y^4$

76.

When in doubt...

a)

Expand it out

b)

Order takeout

c)

Flail about

d)

Desert drought

77.

$2^{15}\cdot2^5$

a)

$2^3$

b)

$4^3$

c)

$2^{20}$

d)

$4^{75}$

78.

$5c^3\cdot4c^6\cdot c$

a)

$20c^9$

b)

$20c^{10}$

c)

$9c^9$

d)

$9c^{10}$

79.

$2c^{-3}\cdot12c^7\cdot2c^2$

a)

$16c^6$

b)

$16c^{12}$

c)

$48c^6$

d)

$48c^{12}$

80.

$b^2\cdot b^8$

a)

$b^{10}$

b)

$b^{16}$

c)

$2b^{10}$

d)

$b^4$

81.

$\left(\frac{1}{3}\right)^3$

a)

$\frac{3}{9}$

b)

$1$

c)

$\frac{1}{9}$

d)

$\frac{1}{27}$

82.

$\left(-11\right)^1$

a)

11

b)

-11

c)

1

d)

0

83.

$g^1$

a)

$g$

b)

$1$

c)

$\frac{1}{g}$

d)

$0$

84.

$18m^{12}\div6m^4$

a)

$12m^8$

b)

$3m^8$

c)

$3m^3$

d)

$12m^3$

85.

$x^{16}y^{15}\ \div\ x^6y^8$

a)

$x^3y^2$

b)

$xy^3$

c)

$x^{10}y^7$

d)

$x^{-10}y^{-7}$

86.

$20c^9\div30c^3$

a)

$\frac{2}{3}c^6$

b)

$\frac{2}{3}c^3$

c)

$2.3c^6$

d)

$1.5c^3$

87.

Evaluate $p^3q^2$ if $p=\frac{1}{2}$ and $q=\frac{1}{3}$

a)

$\frac{1}{36}$

b)

$\frac{1}{72}$

c)

$\frac{1}{17}$

d)

$\frac{8}{9}$

88.

$\left(4x^6y^7z^3\right)^2$

a)

$8x^{12}y^{14}z^6$

b)

$16x^8y^9z^5$

c)

$16x^{12}y^{14}z^6$

d)

$4x^8y^9z^5$

89.

$\left(y^8\right)^3$

a)

$y^{11}$

b)

$y^5$

c)

$y^{24}$

d)

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

90.

$\left(2g^5\right)^4$

a)

$8g^{20}$

b)

$2g^9$

c)

$2g^{20}$

d)

$16g^{20}$

91.

In scientific notation, if the power of 10 is negative, that means...

a)

The number is huge

b)

The number is tiny

c)

The number is negative

d)

The number is 0

92.

Write in scientific notation: $0.00071363$

a)

$7.1363\cdot10^{-3}$

b)

$7.1363\cdot10^{-4}$

c)

$7.1363\cdot10^4$

d)

$7.1363\cdot10^3$

93.

Change from standard form to scientific notation: 450,000

a)

4.5 x 10⁵

b)

45 x 10⁵

c)

4.5 x 10⁴

d)

4.5 x 10⁶

94.

Write in scientific notation: $564,000,000$

a)

5.64 x 10^-7

b)

5.64 x 10⁶

c)

5.64 x 10⁸

d)

56.4 x 10⁷

95.

Choose the smaller number.

a)

$9.5\times10^4$

b)

$9.21\times10^7$

96.

Write 2.08 x 10²in standard form.

a)

208

b)

0.0208

c)

20,800

d)

0.208

97.

How would you write 50,000 in scientific notation?

a)

50 x 10⁵

b)

5 x 10⁴

c)

5 x 10³

d)

.5 x 10³

98.

Which of the following is correct scientific notation?

a)

20.35 x 10⁴

b)

.2035 x 10⁴

c)

2035⁴

d)

2.035 x10⁴

99.

How would you write -5.6 x 10^-3 in standard form?

a)

0.0056

b)

-5,600

c)

0.00056

d)

-0.0056

100.

Write 0.037 in scientific notation.

a)

3.7 x 10^-2

b)

3.7 x 10²

c)

37 x 10^-3

d)

37 x 10³

7th Unit 1: int/frac ops, absval, sq(rt), expon.laws, sci.not.

Total questions: 100

Worksheet time: 1hrs 15mins

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