Free Printable Quarter 1 Review #1

1.

$\sqrt{3}$ is what type of number? (Check all classifications that apply)

a)

rational

b)

whole

c)

integer

d)

irrational

2.

$-5.5$ is what type of number? (Check all classifications that apply)

a)

rational

b)

whole

c)

integer

d)

irrational

3.

$0.\overline{7}$ is what type of number? (Check all classifications that apply)

a)

rational

b)

whole

c)

integer

d)

irrational

4.

$2\frac{3}{11}$ is what type of number? (Check all classifications that apply)

a)

rational

b)

whole

c)

integer

d)

irrational

5.

What two numbers is $\sqrt{55}$ between?

a)

3 and 4

b)

5 and 6

c)

6 and 7

d)

7 and 8

6.

Classify the following number by naming the set or sets to which it belongs:

-9

a)

Integer

b)

Rational number

c)

Irrational

d)

Integer and rational numbers

7.

Which kind of decimals are irrational?

a)

Those that terminate.

b)

Those that repeat a pattern.

c)

Those that never end.

d)

Those that never end and have no pattern.

8.

Classify the number by checking all that apply!

$-\sqrt{9}$

a)

Natural

b)

Whole

c)

Integer

d)

Rational

e)

Irrational

9.

The number is a/an...

a)

Rational Number

b)

Irrational Number

c)

Integer

d)

Whole Number

10.

Select all categories that apply to the following number: 0

a)

Natural Number

b)

Whole Number

c)

Integer

d)

Rational

e)

Irrational

11.

6 - 10 =

a)

4

b)

-4

c)

16

d)

-16

12.

$-24\div-6=$

a)

4

b)

-4

c)

18

d)

-18

13.

$-12\times\left(-10\right)=$

a)

2

b)

-2

c)

120

d)

-120

14.

|7-10| =

a)

3

b)

-3

c)

17

d)

-17

15.

Which expression can also be used to calculate the expression above?

a)

b)

c)

d)

16.

A grocery store sells steak for$6.10 per pound. What would be the cost of 2.6 lb of steak?

a)

$14.03

b)

$8.70

c)

$15.86

d)

$12.06

17.

a)

-6/12

b)

-5/12

c)

5/12

d)

-5/7

18.

solve

a)

- 2/9

b)

- 5/9

c)

2/9

d)

no there

19.

Will the answer be positive or negative?
-2 - (-5) - (-1) - (-9)

a)

Positive

b)

Negative

20.

The air temperature in the North Pole in the morning was 3 degrees Celsius. By 10:00am the temperature dropped 12 degrees. By noon the temperature had gone up 5 degrees. At 3:00pm the temperature went up 9 degrees. By nightfall the temperature had dropped 16 more degrees. What was the temperature at the North Pole at nightfall?

a)

11 degrees

b)

0 degrees

c)

-11 degrees

d)

-9 degrees

21.

$10\frac{2}{5}-15\frac{1}{3}$

a)

$5\frac{1}{15}$

b)

$4\frac{4}{15}$

c)

$-4\frac{14}{15}$

d)

$-5\frac{14}{15}$

22.

What is the distance between $-2\frac{3}{4}and\ -1\frac{1}{2}?$

a)

$-1\frac{1}{4}$

b)

$1\frac{1}{4}$

c)

$4\frac{1}{4}$

d)

$-4\frac{1}{4}$

23.

$-1-3\frac{1}{5}\times-\frac{3}{2}$

(a)

24.

$\frac{3}{4}\div\left(-\frac{3}{4}-2\frac{5}{6}\right)$

(a)

25.

$\left(3x^4\right)^5$

a)

$15x^9$

b)

$243x^{20}$

c)

$15x^{20}$

d)

$243x^9$

26.

$\left(7x^3\right)^0$

a)

1

b)

7

c)

$21x^3$

d)

$x^{10}$

27.

$7x^0$

a)

1

b)

7

c)

$x^7$

d)

$x^{-7}$

28.

$\frac{1}{a^{-5}}$

a)

$a^{-5}$

b)

$\frac{a}{5}$

c)

$a^5$

d)

$\frac{5}{a}$

29.

$k^{-6}$

a)

$\frac{k}{6}$

b)

$\frac{6}{k}$

c)

$k^6$

d)

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

30.

$\left(-7x^2\right)\left(4x^4\right)$

a)

$-28x^8$

b)

$-28x^6$

c)

$-3x^8$

d)

$-3x^6$

31.

$\frac{x^8}{x^5}$

a)

$x^3$

b)

$\frac{1}{x^3}$

c)

$x^{13}$

d)

$x^{40}$

32.

$\left(-2x^3y^2\right)\left(5xy^4\right)$

a)

$3x^3y^8$

b)

$3x^4y^6$

c)

$-10x^3y^8$

d)

$-10x^4y^6$

33.

$4z^4\cdot6z^{-6}$

a)

$\frac{24}{z^2}$

b)

$24z^{-24}$

c)

$\frac{10}{z^2}$

d)

$10z^{-24}$

34.

$\left(3xy\right)\left(xy\right)$

a)

$x^2y^2$

b)

$3xy$

c)

$3x^2y^2$

d)

$\frac{xy}{3xy}$

35.

How do you write
5⋅5⋅5⋅5⋅5⋅5⋅5
with an exponent?

a)

5⁷

b)

5⁶

c)

7⁵

d)

5

36.

(2ab)³

a)

2³a³b³

b)

2ab³

c)

6a³b³

d)

6ab

37.

Simplify:
(x³)(x²)

a)

x⁵

b)

x⁶

c)

x

d)

x^1.5

38.

Simplify:
(3t²)³

a)

9t⁶

b)

9t⁵

c)

27t⁶

d)

27t⁵

39.

a)

-6c⁵

b)

-6c

c)

6c

d)

-6c⁶

40.

(6x²)(-3x⁵)

a)

18x⁷

b)

-18x⁷

c)

18x¹⁰

d)

3x⁷

41.

a)

5^-8

b)

5²

c)

25^-8

d)

25²

42.

a)

4⁹

b)

4⁴⁴

c)

4²¹

d)

4¹⁵

43.

a)

a⁷

b)

a¹⁰

c)

a³

d)

a^-3

44.

Which expression is equivalent to the given?

a)

b)

c)

d)

45.

a)

b)

c)

d)

46.

a)

b)

c)

d)

47.

a)

b)

c)

d)

48.

Evaluate the expression using the quotient rule.

a)

3⁴

b)

$\frac{1}{3^4}$

c)

3^-12

d)

3³²

49.

Make this negative exponent positive.

9^-3

a)

9³

b)

$\frac{1}{9^{-3}}$

c)

$\frac{1}{9^3}$

d)

729

50.

a)

6^-2

b)

$\frac{1}{6^2}$

c)

$\frac{1}{36}$

d)

All of the above

51.

Simplify the following expression:

$\frac{x^{18}y^{15}}{x^6y^3}$

a)

x³y⁵

b)

x¹²y¹²

c)

x²⁴y¹⁸

d)

x¹⁰⁸y⁴⁵

52.

Simplify the following expression:
$\frac{30y^{12}}{15y^2}$

a)

2y²⁴

b)

2¹⁰

c)

2y¹⁰

d)

2y¹⁴

53.

$\sqrt{16}=?$

a)

8

b)

2

c)

4

d)

32

54.

$3_{\sqrt{8}}$ (cube root of 8)

a)

2

b)

$\pm2$

c)

-2

d)

None of the above

55.

The area of a square painting is 81 $cm^2$ . What is the length of one side?

a)

9

b)

-9

c)

40.5

d)

-40.5

56.

Select all the PERFECT CUBES

a)

8

b)

2

c)

125

d)

27

57.

Select all the PERFECT SQUARES

a)

10

b)

144

c)

9

d)

8

58.

Find the square root.

a)

4/5

b)

2/3

c)

-4/5

d)

-2/3

59.

Simplify

a)

6/7

b)

4/9

c)

d)

6/9

60.

Evaluate.

a)

-12

b)

12

c)

±12

d)

1/12

61.

What property is this?

a)

Multiplicative Inverse

b)

Multiplicative Identity

c)

Commutative

d)

Associative

62.

What property is this?
(n+13) + 4 = n + (13+4)

a)

Associative Property

b)

Commutative Property

c)

Additive Identity

d)

Distributive Property

63.

Which property is this:

a)

Additive Identity

b)

Additive Inverse

c)

Multiplicative Property of 0

d)

Multiplicative Inverse

64.

Fill in the blank to properly show the DISTRIBUTIVE PROPERTY:

7(11 + 4) = 77 + ____

a)

3

b)

4

c)

7

d)

28

65.

The Distributive Property would say
3(a + 2b) = ______

a)

3(2b + a)

b)

(a + 2b)3

c)

3a + 2b

d)

3a + 6b

66.

What property is this?
(a+13)+4 = a+(13+4)

a)

Associative

b)

Commutative

c)

Additive Identity

d)

Distributive

67.

This is an example of which property:
(2⋅3)4=(3⋅2)4

a)

Associative

b)

Commutative

c)

Inverse

d)

Identity

68.

(4 x 12) + 8 = (12 x 4) + 8

a)

Associative Addition

b)

Commutative Addition

c)

Associative Multiplication

d)

Commutative Multiplication

Quarter 1 Review #1 - Math 7S

Total questions: 68

Worksheet time: 1hrs 13mins

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