Free Printable Unit 1 Review

1.

-0.775 is a

a)

Irrational Number

b)

Whole Number

c)

Integer

d)

Rational Number

2.

$\sqrt{3}$ is considered a...

a)

Whole number

b)

Integer

c)

Irrational Number

d)

Rational Number

3.

Positive and negatives with no decimals or fractions

a)

Whole number

b)

Natural number

c)

Integer

d)

Rational number

4.

The following Real Number Venn diagram correctly shows each set and subset:

a)

True

b)

False

5.

Whole numbers are natural numbers together with "zero."

a)

True

b)

False

6.

A number can be rational and irrational.

a)

True

b)

False

7.

What is true about irrational numbers?

a)

They are terminating decimals.

b)

They are non-repeating decimals.

c)

They are fractions.

d)

They are natural numbers.

8.

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

a)

Commutative

b)

Associative

c)

Distributive

d)

Additive Inverse

9.

What property is this?
37 x 9 x 0 x 17 x 4 = 0

a)

Property of Zero

b)

Commutative

c)

Distributive

d)

Associative

10.

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

a)

Commutative

b)

Associative

c)

Additive Identity

d)

Distributive

11.

What property is this?
-11.3 + 0 = -11.3

a)

Additive Inverse

b)

Additive Identity

c)

Property of Zero

d)

Commutative

12.

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

a)

Associative

b)

Commutative

c)

Additive Identity

d)

Distributive

13.

What property is this?
38 + (-38) = 0

a)

Additive Identity

b)

Additive Inverse

c)

Property of Zero

d)

Commutative

14.

Which of the following is an example of the ASSOCIATIVE PROPERTY OF ADDITION?

a)

11 + (8 + 3) = 11 + (3 + 8)

b)

(20 + 0.5) + 3 = 20 + (0.5 + 3)

c)

5(7 + 2) = 5(7) + 5(2)

d)

3 x (5 x 4) = (3 x 5) x 4

15.

What is the Symmetric property?

a)

If a=b, then a can be substituted for b in any equation or expression

b)

a(b+c)=ab+ac

c)

For any real number a, a=a .

d)

If a=b, then b=a

16.

What is the Reflexive property?

a)

If a=b, then a can be substituted for b in any equation or expression

b)

a(b+c)=ab+ac

c)

For any real number a, a=a .

d)

If a=b, then b=a

17.

What is the Transitive property?

a)

If a=b, then a can be substituted for b in any equation or expression

b)

a(b+c)=ab+ac

c)

If a=b, and b=c, then a=c

d)

If a=b, then b=a

18.

Identify the property used here:
39=39

a)

Reflexive

b)

Symmetric

c)

Transitive

d)

Substitution

19.

The Symmetric Property says that if AB = BC, then _________

a)

AB = BC

b)

BC = AB

c)

BC = CD

d)

A = B

20.

Solve the following:
(2 + 7 - 1) ÷ 2²

a)

16

b)

2

c)

72.25

d)

8.75

21.

Solve the following:
5 - 6² ÷ 4 - 3

a)

1

b)

-10.75

c)

-31

d)

-7

22.

8² +(7-4)²

a)

74

b)

72

c)

70

d)

73

23.

Simplify:
[25-(13+4)+4] ÷ 3

a)

6

b)

2

c)

3

d)

4

24.

11²- 8 ⋅ 7 + 2

a)

100

b)

793

c)

67

d)

49

25.

10 + 45 ÷ 9 -(14 ÷ 2) =

a)

9

b)

8

c)

53

d)

18

26.

Solve the following:
-2 x (3 + 8 ÷ 4)²

a)

-16

b)

1.375

c)

4

d)

-50

27.

∣-5∣ + ∣-8∣

a)

-3

b)

3

c)

13

d)

-13

28.

| 87-42 | ÷ 9(-2)

a)

10

b)

2.5

c)

-10

d)

-2.5

29.

Which operation would you do first?

( 12 + 10) ÷ 10 x 14 - 6

a)

multiplication

b)

division

c)

addition

d)

subtraction

30.

5m + 9n if m = -7 and n = 4

a)

71

b)

1

c)

-1

d)

-71

31.

x² - xy if x = 8 and y = -3

a)

88

b)

40

c)

-8

d)

-24

32.

(18 - ab) + 4b if a = -2 and b = -5

a)

8

b)

28

c)

48

d)

-12

33.

-7w² + 2w if w = -4

a)

104

b)

-64

c)

-120

d)

120

34.

½(10p - 7q) if p = 9 and q = 2

a)

31

b)

38

c)

52

d)

152

35.

Add

a)

11 8
-4 2

b)

3 2
-6 -6

c)

-3 2
-4 -6

d)

10 8
-6 2

36.

Subtract

a)

3 -8
0 -1

b)

3 -4
8 -13

c)

-3 8
0 1

d)

3 -8
-8 1

37.

Find A+B

a)

8 10
8 1

b)

12 25
7 1

c)

10 30
0 1

d)

can't add two together because the rows dont match columns

38.

What are the dimensions of this matrix?

a)

2 x 3

b)

3 x 2

c)

6 x 1

d)

1 x 6

39.

Multiply

a)

20 15 -10
30 -5 0

b)

-20 15 -10
30 -5 0

c)

1 8 3
11 4 5

d)

20 -15 10
-30 5 0

40.

What must be true in order to ADD two matrices?

a)

They must be square.

b)

The dimensions must be equal.

c)

The determinant can't equal 0.

d)

The column of the 1st must equal the row of the 2nd.

41.

Simplify by combining like terms:

5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

10ab + 4

42.

3(2c - 5)

a)

6c - 15

b)

6c + 15

c)

-6c + 15

d)

-6c - 15

43.

Which of the following is equivalent to 8(5f - 7) + 3f ?

a)

43f - 7

b)

37f - 56

c)

43f - 56

d)

40f - 56 + 3f

44.

-2(3x + 5) + 6x

a)

-12x - 5

b)

10

c)

-12x - 10

d)

-10

45.

Simplify the following expression:

2x + 7(x - 5) - 4

a)

9x + 20

b)

9x + 31

c)

9x - 31

d)

9x - 39

46.

Translate this phrase into an algebraic expression.

8 less than the product of 4 and a number

Use the variable m to represent the unknown number.

a)

8 − 4m

b)

8m − 4

c)

8m + 4

d)

4m − 8

47.

Translate: two times the sum of a number and five

a)

2 + y + 5

b)

2y + 5

c)

2(y + 5)

d)

2 − y + 5

48.

m plus the product of 6 and n

a)

m + 6n

b)

m − 6 + n

c)

6m + n

d)

m + 6 + n

49.

"Subtracted from" and "less than" are terms that mean you need to "turn around" or "flip" the terms around.

a)

True

b)

False

50.

Three less than twice a number

a)

2x − 3

b)

3x − 2

c)

3 − 2x

d)

2 − 3x

51.

6 (x + 5)

a)

Six times X increased by five

b)

Six times the sum of a number and five

c)

The quotient of six and a number increased by five

d)

Five more a number times six

52.

Eight less than the sum of a and 3.

a)

$8-\left(a+3\right)$

b)

$\left(a+3\right)-8$

c)

$\left(a-3\right)-8$

d)

$3a-8$

53.

Translate: Six fewer than twice a number is four.

a)

6 - 2x = 4

b)

2x - 6 = 4

c)

x² - 6 = 4

d)

6 - x² = 4

54.

Translate: Five less than the product of seven and a number is the same as thirteen.

a)

7s - 5 = 13

b)

5 - 7 + s = 13

c)

13 = 7(s - 5)

d)

5 - 7s = 13

55.

Which algebraic expression best represents the number sentence below?

"The product of negative seven and a number is forty-nine."

a)

$49-p=-7$

b)

$-7p=49$

c)

$-7+p=49$

d)

$49p=-7$

56.

Which algebraic equation best represent the verbal sentence below?

"Three increased by two times a number equals thirty-two"

a)

$3=2s-32$

b)

$5s=32$

c)

$3-2s=32$

d)

$3+2s=32$

57.

Write an inequality for the following statement.
n is less than 9

a)

n < 9

b)

n > 9

c)

n ≤ 9

d)

n ≥ 9

58.

Translate the sentence into an inequality.
Seven subtracted from n is greater than or equal to 18.

a)

n - 7 > 18

b)

7 - n ≥ 18

c)

n - 7 ≥ 18

d)

n + 7 ≥ 18

59.

The maximum score on the pilot's test is 95 points.

a)

p < 95

b)

p > 95

c)

p ≥ 95

d)

p ≤ 95

60.

Which represents the word sentence as an inequality?
A number n is at least 17.

a)

n < 17

b)

n > 17

c)

n ≤ 17

d)

n ≥ 17

61.

What is the inverse of addition?

(hint: opposite)

a)

multiplication

b)

division

c)

subtraction

62.

Solve for x.

(hint: the opposite of addition is subtraction)

a)

x = -2

b)

x = -1

c)

x = -3

d)

x = 0

63.

Solve for m.

(hint: the opposite of subtraction is addition)

a)

m = -3

b)

m = -2

c)

m = -1

d)

m = -7

64.

Solve for x.

(hint: the opposite of multiplication is division)

a)

x = 6

b)

x = 3

c)

x = 9

d)

x = 4

65.

Solve for a.

(hint: the opposite of division is multiplication)

a)

x = 4

b)

x = 8

c)

x = 16

d)

x =1

66.

Solve for y.

(hint: add, then divide)

a)

x = 4

b)

x = 2

c)

x = 20

d)

x = 15

67.

Solve for x.

(hint: subtract, then multiply)

a)

x = 20

b)

x = 8

c)

x = 28

d)

x = 7

68.

Solve 8 - 2x = 30

a)

-11

b)

11

c)

-12

d)

12

69.

Solve 9 + 3x = 10

a)

2/3

b)

1/3

c)

-1/3

d)

4

70.

23 = 5 + 3c

a)

c = 3

b)

c = 6

c)

c = 7

d)

c = 18

71.

Solve
-5m < 10

a)

m < -2

b)

m > -2

c)

m < -50

d)

m > -50

72.

Solve the following inequality:
3x + 4 > 13

a)

x > 1

b)

x > 3

c)

x = 3

d)

x < 5

73.

7b - 3 < 11

a)

b < 2

b)

84 > b

c)

b > 2

d)

b < 84

74.

4x - 2 ≤ -22

a)

x ≥ -5

b)

x ≥ -6

c)

x ≤ -6

d)

x ≤ -5

75.

Solve: -2x ≤ 14

a)

x ≤ 7

b)

x ≤ -7

c)

x ≥ 7

d)

x ≥ -7

76.

You flip an inequality symbol when you...

a)

subtract

b)

multiply and divide only

c)

multiple by a negative number

d)

multiple or divide by a negative number

77.

-4x + 14 ≤ 54

a)

x ≥ - 10

b)

x ≤ -10

c)

x ≥ 10

d)

x ≤ 10

78.

When you graph an inequality, you use a closed dot when you use which symbols?

a)

≤, ≥

b)

<, >

c)

≤, <

d)

≥, >

79.

When graphing an inequality, you use an open dot when you use which symbol?

a)

<, >

b)

≤, ≥

c)

≤, <

d)

≥, >

80.

Match the graph with its inequality.

a)

b > –2

b)

b < –2

c)

b ≥ –2

d)

b ≤ –2

81.

What inequality does the number line graph represent?

a)

x ≤ -4

b)

x ≥ -4

c)

x < -4

d)

x < 4

82.

What inequality does the number line graph represent?

a)

x≥ 3

b)

x > 3

c)

x < -3

d)

x ≤ 3

83.

What inequality does the number line graph represent?

a)

x > 5

b)

x < −5

c)

x ≥ 5

d)

x ≥ −5

84.

Match the graph with its inequality.

a)

a > 11

b)

a < 11

c)

a ≥ 11

d)

a ≤ 11

85.

Which graph matches the inequality
k < 3?

a)

A

b)

B

c)

C

d)

D

86.

What does PEMDAS stand for?

a)

Pancakes Every Monday During Algebra Stink.

b)

Please Excuse My Dad and Sister.

c)

Please Excuse My Dear Aunt Sally.

d)

Pretty Eagles Must Drive A Ship.

87.

What are real numbers? Fill in the blank: ________ are all rational and irrational numbers.

a)

real numbers

b)

prime numbers

c)

complex numbers

d)

natural numbers

88.

What are irrational numbers? Fill in the blank: Irrational numbers are numbers that cannot be expressed as a ratio of two integers. Their decimal expansions are ________ and ________.

a)

nonending and nonrepeating

b)

ending and repeating

c)

ending and nonrepeating

d)

nonending and repeating

89.

What is a rational number? Fill in the blank: A rational number is a number that can be written as a ________.

a)

fraction

b)

decimal

c)

integer

d)

whole number

90.

What is an integer? Fill in the blank: An integer is all whole numbers (both positive and negative) and ________.

a)

zero

b)

fractions

c)

decimals

d)

irrational numbers

91.

What are whole numbers? Fill in the blank: Whole numbers are natural numbers (counting numbers) and zero; 0, 1, 2, 3...

a)

whole numbers

b)

prime numbers

c)

fractions

d)

negative numbers

92.

What are natural numbers? Fill in the blank: Natural numbers are the set of numbers 1, 2, 3, 4, ... Also called ________ numbers.

a)

counting

b)

prime

c)

even

d)

fractional

93.

What is the Commutative Property? Fill in the blank: The Commutative Property is the order in which numbers are added or multiplied does not change the ________ or ________.

a)

sum or product

b)

difference or quotient

c)

order or grouping

d)

value or sign

94.

What is the Associative Property? Fill in the blank: The Associative Property is the way in which numbers are ________ does not change their sum or product.

a)

grouped

b)

added

c)

subtracted

d)

ordered

95.

What is the Identity Property of Multiplication? Fill in the blank: The Identity Property of Multiplication is a × 1 = ________.

a)

a

b)

1

c)

0

d)

a+1

96.

What is the Identity Property of Addition? Fill in the blank: The Identity Property of Addition is a + 0 = ________.

a)

a

b)

0

c)

1

d)

a+1

97.

What is the Inverse Property of Addition? Fill in the blank: The Inverse Property of Addition is a + (–a) = ________.

a)

0

b)

a

c)

1

d)

–a

98.

What is the Inverse Property of Multiplication? Fill in the blank: The Inverse Property of Multiplication is a × 1/a = ________.

a)

1

b)

a

c)

0

d)

$a^2$

99.

What is the Property of Zero? Fill in the blank: The Property of Zero is the product of a number and 0 is ________.

a)

0

b)

1

c)

the number itself

d)

undefined

100.

What is the Distributive Property? Fill in the blank: The Distributive Property is a(b + c) = ab + ________.

a)

ac

b)

bc

c)

ab

d)

ca

101.

What is the Reflexive Property? Fill in the blank: The Reflexive Property is a = ________.

a)

a

b)

b

c)

c

d)

d

102.

What is the Symmetric Property? Fill in the blank: The Symmetric Property is if a = b, then ________ = a.

a)

b

b)

a

c)

a + b

d)

0

103.

What is the Transitive Property? Fill in the blank: The Transitive Property is if a = b and b = c, then ________ = c.

a)

a

b)

b

c)

a + b

d)

c

104.

What is absolute value? Fill in the blank: Absolute value is the distance a number is from zero on a ________ line.

a)

number

b)

parallel

c)

vertical

d)

curved

105.

What is the order of operations? Fill in the blank: The order of operations is ________.

a)

PEMDAS

b)

SADMEP

c)

GEMDAS

d)

PADMES

106.

What is an expression? Fill in the blank: An expression is a mathematical phrase that contains operations, numbers, and/or ________.

a)

variables

b)

tables

c)

fractions

d)

graphs

107.

What is the Substitution Property? Fill in the blank: The Substitution Property is if a = b, then a can be substituted for b in any ________ or ________.

a)

equation or expression

b)

number or digit

c)

variable or constant

d)

function or graph

108.

What is a coefficient? Fill in the blank: A coefficient is a number multiplied by a variable in an ________ expression.

a)

algebraic

b)

chemical

c)

geometric

d)

numeric

109.

What are Matrices? Fill in the blank: Matrices are an arrangement of numbers in ________ and ________.

a)

rows and columns

b)

circles and squares

c)

lines and dots

d)

pages and books

110.

What are like terms? Fill in the blank: Like terms are expressions that contain the same variables to the same ________.

a)

power

b)

coefficient

c)

sum

d)

product

111.

What is a constant? Fill in the blank: A constant is a term without a ________.

a)

variable

b)

number

c)

coefficient

d)

expression

112.

What is a variable? Fill in the blank: A variable is a symbol used to represent a quantity that can ________.

a)

change

b)

disappear

c)

multiply

d)

remain constant

113.

What is an equation? Fill in the blank: An equation is a mathematical sentence that contains an ________ sign.

a)

equals

b)

addition

c)

multiplication

d)

division

Unit 1 Review

Total questions: 113

Worksheet time: 38hrs 40mins

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