Free Printable B2A2 TR Ch. 1

1.

A repeating decimal or decimal that terminates is called a

a)

Natural Number

b)

Irrational Number

c)

Rational Number

d)

Whole Number

2.

Name the set or sets to which each real number belongs.
$\frac{13}{3}$

a)

Natural Number

b)

Whole Number

c)

Integer

d)

Rational

e)

Irrational

3.

Name the set or sets to which each real number belongs.
$-6$

a)

Natural Number

b)

Whole Number

c)

Integer

d)

Rational

e)

Irrational

4.

What is the set of numbers that includes all positive and negative numbers with no decimals?

a)

Whole Numbers

b)

Integers

c)

Rational Numbers

d)

Natural Numbers

5.

-4 is not a whole number because:

a)

It's negative and whole numbers are positive.

b)

it's irrational.

c)

it cannot be turned into a fraction.

d)

it is even.

6.

Classify this number: -12

a)

irrational

b)

rational

c)

real, irrational

d)

rational, integer

7.

Which number is an irrational number?

a)

2.5

b)

5.72314.....

c)

-17

d)

1/2

8.

Between what 2 whole numbers is $\sqrt{6}$ ?

a)

1 and 2

b)

2 and 3

c)

3 and 4

d)

4 and 5

9.

Between what 2 whole numbers is the $\sqrt{8}$ ?

a)

1 and 2

b)

2 and 3

c)

3 and 4

d)

4 and 5

10.

Between what 2 whole numbers is $\sqrt{35}$ ?

a)

2 and 3

b)

3 and 4

c)

4 and 5

d)

5 and 6

11.

To which whole number is $\pi$ closest on a number line?

a)

1

b)

2

c)

3

d)

4

12.

Which point most closely corresponds to the √8 on the number line below? (Click the question to see the picture)

a)

P

b)

Q

c)

R

d)

S

13.

Which point on the number line best represents $\sqrt{90}$ ?

a)

A

b)

B

c)

C

d)

D

e)

E

14.

Which number is irrational?

a)

9.6

b)

√45

c)

3/8

d)

3.4444...

15.

What is the approximate value of √12

a)

2

b)

3.5

c)

4.5

d)

6

16.

What is the set of numbers that includes π?

a)

Rational Numbers

b)

Irrational Numbers

17.

What is the set of numbers that doesn't include 0?

a)

Whole Numbers

b)

Real Numbers

c)

Irrational Numbers

d)

Natural Numbers

18.

Which name does not apply to this number?
-10

a)

whole number

b)

integer

c)

real number

d)

rational number

19.

Which name does not apply to this number?
-17.84

a)

rational number

b)

real number

c)

irrational number

20.

Which name does not apply to this number?
7/8

a)

rational number

b)

real number

c)

whole number

21.

8 + 2 ⋅ 7

a)

22

b)

70

c)

20

d)

42

22.

8 ÷ 8 + 6 × 2

a)

8

b)

13

c)

14

d)

23

23.

Solve This Expression -
( 7 x 3 ) + 9

a)

29

b)

30

c)

31

d)

32

24.

6 + (4)3

a)

18

b)

30

c)

13

d)

42

25.

(7 x 5) + (6 x 4)

a)

48

b)

69

c)

59

d)

72

26.

4 x 6 -2 =

a)

20

b)

24

c)

22

d)

18

27.

(3x3) + 6-4 =

a)

10

b)

11

c)

15

d)

9

28.

6(8) =

a)

40

b)

42

c)

49

d)

48

29.

3(4+2+1) =

a)

10

b)

20

c)

21

d)

7

30.

Three squared is:

a)

3 x 3 = 9

b)

3 x 2 = 6

c)

3 + 3 = 6

d)

3 + 2 = 5

31.

5x(6-3)

a)

19

b)

27

c)

15

d)

23

32.

(7 x 5) + 5

a)

40

b)

70

c)

17

d)

755

33.

2 + (9²- 4)

a)

16

b)

77

c)

79

34.

Which is equivalent to 5 x 5 x 5 x 5

a)

5³

b)

5⁴

c)

4⁵

d)

5⁵

35.

What does 3² mean?

a)

3 x 2

b)

3 x 3

c)

2 x 2 x 2

36.

4 + 9 + 8 ÷ 4

a)

5.25

b)

5

c)

25

d)

15

37.

Solve: (2×10)+4

a)

20

b)

26

c)

7

d)

24

38.

2 x 9 ÷ 3

a)

5

b)

7

c)

8

d)

6

39.

4 + 2 x 8

a)

48

b)

20

c)

14

d)

40

40.

(6 + 2) x (3 + 2)

a)

18

b)

26

c)

16

d)

40

41.

$\frac{1}{2}+\frac{1}{3}$

(a)

42.

$\frac{8}{9}-\frac{1}{3}=$

(a)

43.

Convert to an improper fraction.

$5\ \frac{3}{7}$

(a)

44.

What would be the least common denominator for these two fractions?

$\frac{7}{8}and\ \frac{1}{6}$

(a)

45.

$\frac{7}{8}-\frac{1}{6}=$

(a)

46.

$\frac{8}{9}-\frac{5}{6}=$

(a)

47.

$2\ \frac{7}{9}\ +\ 1\ \frac{1}{3}=$

(a)

48.

Simplify the fraction. $\frac{16}{18}$

(a)

49.

In preparation for a picnic, Sarah made a salad with $\frac{1}{4}$ of a bag of iceberg lettuce and $\frac{5}{8}$ of a bag of romaine lettuce. How many bags of lettuce did Sarah use in all?

(a)

50.

Peggy made cookies. She used $\frac{3}{4}$ of a cup of flour and $\frac{5}{12}$ of a cup of sugar. How much more flour than sugar did Paula use? Make sure to simplify your answer.

(a)

51.

Colton and Hayley made a stir-fry for dinner. They used $\frac{1}{6}$ of a pound of bell peppers, $\frac{1}{3}$ of a pound of mushrooms, and $\frac{1}{9}$ of a pound of snow peas. How many pounds of vegetables did they use in the stir-fry?

(a)

52.

Leslie and Greg own neighboring cornfields. Leslie harvested $\frac{5}{9}$ acre of corn on Monday and Greg harvested $\frac{5}{12}$ of an acre. How many more acres did Leslie harvest than Greg?

(a)

53.

In Brooke's history class, $\frac{1}{8}$ of the students are making videos for their final project and $\frac{3}{4}$ are making dioramas. What fraction of the students are making either a video or diorama?

(a)

54.

Convert the mixed number to an improper fraction.

$10\frac{2}{3}$

(a)

55.

James needs $7\frac{1}{5}$ feet of yarn to complete a project. He has two small pieces measuring $1\frac{1}{3}$ feet and $2\frac{4}{5}$ feet. James needs to purchase how many more feet to complete his project?

(a)

56.

$\frac{1}{2}\div\frac{2}{3}$

a)

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

b)

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

c)

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

d)

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

57.

$\frac{1}{2}\div\frac{1}{2}$

(a)

58.

$\frac{5}{6}\div\frac{2}{3}$

(a)

59.

$\frac{10}{12}\div\frac{1}{2}$

(a)

60.

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

(a)

61.

a)

$\frac{6}{40}$

b)

$\frac{3}{4}$

c)

$\frac{1}{2}$

d)

$\frac{12}{20}$

62.

What is the rule for Dividing Fractions?

a)

"Keep, Keep, Flip"

b)

"Keep, Change, Flip"

c)

"Keep, Change, Keep

d)

I don't know!

63.

What is another word for "Flip"?

a)

Same

b)

Fraction

c)

Equal

d)

Reciprocal

64.

Solve:

$\frac{1}{2}$ $\div$ 1 $\frac{3}{4}$

a)

$\frac{7}{4}$

b)

$\frac{3}{8}$

c)

$\frac{4}{14}$

d)

5

65.

$\frac{2}{5}\div4$

a)

1/10

b)

10

c)

1/20

d)

2/20

66.

$\frac{2}{5}\div3$

a)

2/15

b)

1/7

c)

6/5

d)

6/15

67.

$\frac{6}{7}\div3$

a)

2/7

b)

7/2

c)

18/7

d)

7/18

68.

Find the reciprocal of $\frac{7}{11}$

a)

1 $\frac{1}{7}$

b)

$\frac{11}{11}$

c)

$\frac{11}{7}$

d)

$\frac{7}{7}$

69.

What is the quotient of these fractions in lowest terms?

a)

6/40

b)

6/10

c)

3/5

d)

12/20

70.

$Solve:\ \ \ \frac{4}{5}\div2\ =\$

a)

$\frac{8}{5}$

b)

$\frac{10}{4}$

c)

$\frac{2}{5}$

d)

$\frac{8}{10}$

71.

Patrick is making a kite for a science fair project. He must cut $\frac{1}{4}$ inch pieces out of a 8 inch piece of plastic. How many $\frac{1}{4}$ inch pieces can he cut out in total?

a)

16 pieces

b)

$\frac{1}{32}$ piece

c)

32 pieces

d)

$\frac{1}{16}$ piece

72.

Find the Product

a)

-0.2052

b)

-2.050

c)

2.050

d)

-0.2058

73.

Find the Product

a)

-41.81

b)

418.07

c)

416.52

d)

-435.212

74.

The numbers {0, 1, 2, 3, ...} etc. There is no fractional/decimal part or negatives.

a)

Rational Numbers

b)

Whole Numbers

c)

Integers

75.

A set of numbers that contains all whole numbers and their opposites.

a)

Rational Numbers

b)

Integers

c)

Whole Numbers

76.

Same Signs=Positive Answer
DIfferent Signs=Negative Answer

a)

Adding Integers

b)

Subtracting Integers

c)

Multiplying or Dividing Integers

77.

7.13 x −5.5

a)

39.215

b)

3.9215

c)

392.15

d)

3921.5

e)

−39.215

78.

5.78 x 3.5

a)

0.223

b)

2.23

c)

22.3

d)

20.23

e)

−20.23

79.

−1.2 x −3.4

a)

−4.08

b)

−4.8

c)

40.8

d)

4.08

80.

$(-8.6)(-0.07)$

a)

0.602

b)

-0.62

c)

6.02

d)

-0.602

81.

Which of the REAL # classifications given in the answer choices does the number in the picture most fully fit?

a)

Irrational Numbers

b)

Rational Numbers

c)

Natural Numbers

d)

Integers

82.

$\left(-0.8\right)\left(17\right)\left(-0.02\right)$

a)

-0.272

b)

0.0272

c)

-2.72

d)

0.272

83.

Choose the best definition of the term INTEGERS...

a)

Whole numbers

b)

Negative numbers

c)

Negative Numbers and Positive Numbers

d)

Positive whole #s and their opposites and zero

84.

Choose the best definition of the term RATIONAL NUMBERS...

a)

Numbers that can think on their own

b)

Numbers that are or can turn into FRACTIONS

c)

Decimals that never repeat or terminate

d)

Repeating decimals

85.

Which statement is true?

a)

The absolute value of 3 is -3

b)

The opposite of 7 is 7

c)

The absolute value of 5 is equal to the opposite of 5

d)

The opposite of -4 is equal to the absolute value of -4

86.

Compare |-5| to the |-10|

a)

|-5| > |-10|

b)

|-5| = |-10|

c)

|-5| < |-10|

87.

Simplify the expression.

\left(-3a^4+3+8a^2\right)-\left(13a^4-7a-2a^2\right)

a)

$\left(-16a^4+5a^2+18a+3\right)$

b)

$-16a^4+7a+3$

c)

$-16a^4+10a^2+7a+3$

d)

$-16a^4+18a+3$

88.

Simplify the expression.

\left(6p+4p^5+11p^3\right)+\left(-4p^2-p^5+4p\right)

a)

$3p^5+11p^3-21p^2+10p$

b)

$3p^5+11p^3-4p^2+10p$

c)

$3p^5+11p^3-18p^2+10p$

d)

$3p^5+11p^3-16p^2+10p$

89.

Simplify the expression.

\left(-10a^4-7a^2+11\right)-\left(9+10a^2-5a^4\right)

a)

$-5a^4-29a^2+2$

b)

$-5a^4-29a^2+15$

c)

$-5a^4-17a^2+2$

d)

$-19a^4-29a^2+15$

90.

Simplify the expression.

\left(7x^5+2x^4-8x\right)-\left(13x-3x^4-3x^5\right)

a)

$7x^5+5x^4-21x$

b)

$-x^5+5x^4-18x$

c)

$-x^5+5x^4-21x$

d)

$10x^5+5x^4-21x$

91.

Simplify the expression.

\left(-11k^2+3k^4-9\right)+\left(10k^2+14k^4-13\right)

a)

$17k^4-k^2-28$

b)

$17k^4-k^2-22$

c)

$-11k^4-21k^2+4$

d)

$17k^4-k^2-29$

92.

Simplify the expression.

\left(-6x+13x^2-x^5\right)+\left(5x^2-2x^5+6x\right)

a)

$-13x^5+18x^2+6x$

b)

$-13x^5+18x^2$

c)

$-3x^5+18x^2$

d)

$-3x^5+18x^2+6x$

93.

The the product.

5n\left(7n^2-5n+4\right)

a)

$36n^3+36n^2-36n$

b)

$24n^2-12n+42$

c)

$9n^2+18n-15$

d)

$35n^3-25n^2+20n$

94.

Find the product.

\left(-2r+5\right)\left(-8r+5\right)

a)

$16r^2-50r+25$

b)

$16r^2+25$

c)

$16r^2-30r-25$

d)

$16r^2+30r-25$

95.

Find the product.

\left(x+3\right)\left(4x^2+3x-2\right)

a)

$-56x^3+9x^2+99x-56$

b)

$4x^3+15x^2+7x-6$

c)

$-48x^3-22x^2+79x-24$

d)

$-7x^3+20x^2-26x+12$

96.

Find the product.

\left(xy+3\right)\left(2xy-4\right)\left(-xy+1\right)

a)

$-2x^3y^3+14xy-12$

b)

$-2x^3y^3-4x^2y^2+14xy-12$

c)

$-2x^3y^3+4x^2y^2+14xy-12$

d)

$-2x^3y^3+14xy+12$

97.

Evaluate 4y if y = 3

a)

7

b)

12

98.

Evaluate 2a + 4b
if a = 10 and b = 6

a)

20

b)

24

c)

44

d)

4

99.

Evaluate when a = 15:
2(a - 5) + 2

a)

22

b)

27

c)

14

d)

7

100.

b² + 4
when b = 3

a)

10

b)

12

c)

13

d)

11

101.

Evaluate the expression. Let g = 3 h = 9
4h + 2g + 4

a)

42

b)

46

c)

34

d)

58

102.

Evaluate the expression when
x =5 and z = 4
z²- 2x

a)

6

b)

2

c)

17

d)

26

103.

evaluate bc + 5a
when a = 3, b = 4, and c = -6

a)

9

b)

38

c)

-38

d)

-9

104.

Evaluate 3x - 7 if x = 6

a)

9

b)

11

c)

29

d)

25

105.

Evaluate 6y - 13 if y = 4

a)

51

b)

11

c)

37

106.

Evaluate:

$\left(y+z\right)^2$

when y = -4 and z = -3

(a)

107.

Evaluate:

$x^2-z$

when x = 1 and z = -1

(a)

108.

Evaluate:

$3\left(z+x\right)-x$

when x = 2 and z = 1

(a)

109.

Evaluate

$a+b^3-6$

when a = 5 and b = 3

(a)

110.

b² + 4
when b = 3

a)

10

b)

12

c)

13

d)

11

111.

Evaluate when a = 15:
2(a - 5) + 2

a)

22

b)

27

c)

14

d)

7

112.

6a - 3d
when a = 1, d = 2

a)

3

b)

12

c)

1

d)

0

113.

Evaluate 3x + 8 if x = 2

a)

13

b)

14

c)

15

d)

16

114.

Evaluate when x = 8:
2x + x - 10

a)

34

b)

22

c)

14

d)

24

115.

Evaluate the expression when x = 3.
2x² - 5

a)

31

b)

12

c)

7

d)

13

116.

Evaluate 3d if d = 5

a)

3

b)

5

c)

12

d)

15

117.

Evaluate m² if m = 7

a)

42

b)

43

c)

49

d)

51

118.

Evaluate y + 17 if y = 11

a)

11

b)

17

c)

27

d)

28

119.

Evaluate x ÷ 4 if x = 80

a)

4

b)

20

c)

40

d)

80

120.

Evaluate n³ if n = 4

a)

12

b)

16

c)

32

d)

64

121.

Evaluate m - n if m = 29 and n = 11

a)

29

b)

28

c)

19

d)

18

122.

Evaluate m + n if m = 29 and n = 11

a)

40

b)

38

c)

20

d)

18

123.

Evaluate b² + 3 if b = 9

a)

9

b)

12

c)

81

d)

84

124.

Evaluate c² - 11 if c = 8

a)

64

b)

63

c)

54

d)

53

125.

Identify the property
a + b = b + a

a)

Identity of addtion

b)

commutative of addition

c)

associative of addition

d)

symmetric

126.

Identify the property

a + 0 = a

a)

identity property of addition

b)

identity property of multiplication

c)

inverse property of addition

d)

multiplication property of zero

127.

Identify the property

(a ⋅ b) ⋅ c = (c ⋅ b) ⋅ a

a)

commutative property of addition

b)

identity property of multiplication

c)

inverse property of multiplication

d)

associative property of multiplication

128.

(19 x 5) x 2 = 19 x (5 x 2)

a)

Associative Property of Multiplication

b)

Commutative Property of Multiplication

c)

Identity Property of Multiplication

d)

Associative Property of Addition

129.

1 ^_x 12 =12

a)

Identity Property of Multiplication

b)

Commutative Property of Multiplication

c)

Multiplication Property of One

d)

Distributive Property

130.

Which property says changing the order of the terms in addition or multiplication will not change the result

a)

Commutative

b)

Associative

c)

Inverse

d)

Identity

131.

This is an example of which property:
$\left(2\cdot3\right)\cdot4=2\cdot\left(3\cdot4\right)$

a)

Associative

b)

Commutative

c)

Inverse

d)

Identity

132.

9 ^_x 2 = 2 ^_x 9

a)

Commutative Property of Multiplication

b)

Associative Property of Multiplication

c)

Multiplicative Inverse Property

d)

Distributive Property

133.

What property is this?
77+(8+3) = (8+3)+77

a)

Commutative

b)

Associative

c)

Additive Identity

d)

Distributive

134.

(19 x 5) x 2 = 19 x (5 x 2)

a)

Associative Property of Multiplication

b)

Commutative Property of Multiplication

c)

Identity Property of Multiplication

d)

Associative Property of Addition

135.

Identify the property
a + b = b + a

a)

Identity of addtion

b)

commutative of addition

c)

associative of addition

d)

symmetric

136.

Identify the property
(a ⋅ b) ⋅ c = (c ⋅ b) ⋅ a

a)

commutative of multiplication

b)

identity of multiplication

c)

inverse of multiplication

d)

associative of multiplication

137.

Identify the property
a + 0 = a

a)

identity of addition

b)

identity of multiplication

c)

inverse of addtion

d)

multiplication of zero

138.

Pick the answer that is an example of the inverse property of multiplication

a)

5 ⋅ 0 = 5

b)

5 ⋅ 1/5 = 1

c)

5 - 5 = 0

d)

5 ⋅ 1 = 5

139.

Pick the answer that is an example of the identity property of addtion

a)

a + (-a) = 0

b)

1 + 1 = 2

c)

a + 0 = a

d)

a + b = b + a

140.

Identify the property
a(b + c) = ab + ac

a)

Associative of addtion

b)

Distributive

c)

Commutative of addition

d)

Inverse

141.

Identify the property
a + (-a) = 0

a)

Inverse of addition

b)

Identity of addtion

c)

associative of addition

d)

symmetric

142.

If you multiply a number and its multiplicative inverse, what do you get?

a)

0

b)

1

c)

Not enough information

d)

None of these

143.

What is the additive inverse of 2/3?

a)

-2/3

b)

3/2

c)

2/3

d)

-3/2

144.

Any number you multiply by zero is equal to zero.

a)

True

b)

False

145.

(19 x 5) x 2 = 19 x (5 x 2)

a)

Associative Property of Multiplication

b)

Commutative Property of Multiplication

c)

Identity Property of Multiplication

d)

Associative Property of Addition

146.

1 ^_x 12 =12

a)

Identity Property of Multiplication

b)

Commutative Property of Multiplication

c)

Multiplication Property of One

d)

Distributive Property

147.

What property is this?

a)

Multiplicative Inverse

b)

Multiplicative Identity

c)

Commutative

d)

Associative

148.

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

a)

Associative Property

b)

Commutative Property

c)

Additive Identity

d)

Distributive Property

149.

What is the ADDITIVE INVERSE of
-7

a)

-7

b)

^-1/₇

c)

¹/₇

d)

7

150.

What is the MULTIPLICATIVE INVERSE of
8

a)

-8

b)

^-1/₈

c)

¹/₈

d)

1

151.

Fill in the blank to properly show the DISTRIBUTIVE PROPERTY:

7(11 + 4) = 77 + ____

a)

3

b)

4

c)

7

d)

28

152.

What property is this?
1a = a

a)

Commutative Property of Multiplication

b)

Multiplicative Inverse

c)

Multiplicative Identity

d)

Distributive Property

153.

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

a)

Associative

b)

Commutative

c)

Inverse

d)

Identity

154.

What property is this?
9(b + 0.5) = 9b + 4.5

a)

Commutative

b)

Associative

c)

Distributive

d)

Additive Inverse

B2A2 TR Ch. 1

Total questions: 154

Worksheet time: 7hrs 27mins

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