Free Printable Chapter 1 Review (7DA/8SA)

1.

-7 - (-18)

a)

-25

b)

-15

c)

1

d)

11

2.

14 - 19

a)

-5

b)

0

c)

23

d)

33

3.

-5 + -17

a)

-22

b)

-12

c)

12

d)

22

4.

-8 - (-7)

a)

-15

b)

-1

c)

1

d)

15

5.

4 - 17

a)

-13

b)

-10

c)

11

d)

21

6.

-13 - 28

a)

-41

b)

-31

c)

-15

d)

35

7.

-25 - (-36)

a)

-61

b)

-9

c)

11

d)

51

8.

-3 - (-14)

a)

-314

b)

-17

c)

-1

d)

11

9.

-5 + (-1)

a)

-51

b)

-6

c)

4

d)

5

10.

3 + (-8)

a)

-11

b)

-5

c)

3

d)

8

11.

-14 + 6

a)

-20

b)

-8

c)

2

d)

18

12.

7 - 12

a)

-19

b)

-5

c)

5

d)

12

13.

-8 - 4

a)

-12

b)

-8

c)

-4

d)

4

14.

-6 + 3

a)

2

b)

-3

c)

-18

d)

3

15.

-2 + -7

a)

-9

b)

-5

c)

5

d)

9

16.

-7(10)=

a)

70

b)

700

c)

-70

d)

-700

17.

-20/5=

a)

-4

b)

4

c)

-100

d)

100

18.

-30/-10=

a)

-30

b)

-3

c)

3

d)

30

19.

-3(-4)

a)

-12

b)

7

c)

-7

d)

12

20.

-10(4)

a)

40

b)

-14

c)

-40

d)

14

21.

-8(0)=

a)

-8

b)

8

c)

0

d)

-80

22.

(-25) ÷ (-5)

a)

5

b)

-5

c)

-20

d)

-30

23.

64 ÷ (-8)

a)

8

b)

-8

c)

-9

d)

-7

24.

-3(-4)

a)

-12

b)

7

c)

-7

d)

12

25.

-7(10)=

a)

70

b)

700

c)

-70

d)

-700

26.

-5 x -8

a)

-40

b)

-13

c)

-45

d)

40

27.

44/-4=

a)

11

b)

-8

c)

-11

d)

-1/11

28.

-8(-6)

a)

48

b)

-48

c)

-14

d)

14

29.

Changing the order of the numbers in addition or multiplication will not change the result

a)

Commutative

b)

Associative

c)

Inverse

d)

Identity

30.

3 + 0 = 3 This equation tells us what property of real numbers?

a)

Identity property of multiplication

b)

Identity property of addition

c)

Inverse property

d)

Commutative property of addition

31.

A property that says any number you multiply by its reciprocal the answer is 1

a)

Additive inverse property

b)

Multiplicative inverse property

c)

Commutative property of multiplication

d)

Identity property of multiplication

32.

3/4 – 6/7 = – 6/7 + 3/4

a)

Distributive property

b)

Inverse property of addition

c)

Commutative property of addition

d)

Identity property of addition

33.

12/5 • 1 = 12/5

a)

Distributive property

b)

Inverse property of multiplication

c)

Commutative property of multiplication

d)

Identity property of multiplication

34.

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

a)

Commutative property of a

b)

Associative property of multiplication

c)

Distributive property

d)

Additive inverse property

35.

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

a)

Commutative property of addition

b)

Associative property of addition

c)

Identity property of addition

d)

Distributive property

36.

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

a)

Associative property of addition

b)

Commutative property of addition

c)

Identity property of addition

d)

Distributive property

37.

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

a)

Identity property of addition

b)

Additive inverse property

c)

Property of Zero

d)

Commutative property of addition

38.

What property is this? ⁴/₅ • ⁵/₄ + 16 = 1 + 16

a)

Inverse property of multiplication

b)

Identity property of multiplication

c)

Commutative property of multiplication

d)

Associative property of multiplication

39.

What number will be involved in EVERY equation involving the identity property of multiplication?

a)

-1

b)

0

c)

¹/₂

d)

1

40.

What number will be involved in EVERY equation involving the identity property of addition?

a)

-1

b)

0

c)

¹/₂

d)

1

41.

Fill in the blank to properly solve the equation using ADDITIVE INVERSES:
-7 + _ = 0

a)

-7

b)

^-1/₇

c)

¹/₇

d)

7

42.

Fill in the blank to properly solve the equation using MULTIPLICATIVE INVERSES:
8 x _ = 1

a)

-8

b)

^-1/₈

c)

¹/₈

d)

1

43.

What is the multiplicative inverse of -2/7

a)

7/2

b)

-3 and 1/7

c)

2/7

d)

1

44.

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

45.

Which of the following is an example of the MULTIPLICATIVE PROPERTY OF ZERO?

a)

-76 x 0 + 11 = 11

b)

-9 + 9 = 0

c)

100 - 100 = 0

d)

49 + 0 = 49

46.

A number can be rational and irrational.

a)

True

b)

False

47.

What is true about irrational numbers?

a)

They are terminating decimals.

b)

They are non-repeating, non-terminating decimals.

c)

They are fractions.

d)

They are natural numbers.

48.

What is an example of an integer?

a)

-9

b)

0.567

c)

1/2

d)

π

49.

All whole numbers are integers.

a)

False

b)

True

50.

What is 42/7

a)

Whole number

b)

Natural number

c)

Integer

d)

All of the above

51.

What are the natural numbers also known as?

a)

Rational Numbers

b)

Whole Numbers

c)

Counting Numbers

d)

Irrational Numbers

52.

A number can be rational and irrational.

a)

True

b)

False

53.

A repeating decimal or decimal that terminates is called a

a)

Natural Number

b)

Irrational Number

c)

Rational Number

d)

Whole Number

54.

The only whole number that isn't a natural number is ___

a)

0

b)

1

c)

All fractions and decimals

d)

The inverse of the irrational numbers

55.

√(121/169)

a)

11/13

b)

√(11)/√(13)

c)

.92307...

d)

121/169

56.

-√(625/17)

a)

-25/√17

b)

25/√(17)

c)

-25/4

d)

Can't be simplified

57.

Which number is the largest?
-15/3, π, √121, 1500/100

a)

-15/3

b)

π

c)

√121

d)

1500/100

58.

To determine if an ordered pair is a solution to an equation, you...

a)

Plug in corresponding x and y values and evaluate

b)

Plot the points and see if they make a line

c)

Create a "sister equation" using the same coefficients and see if the solution works for that equation

d)

Impossible, you need more information

59.

Below is an example of the ________ property
(3y+5x)15=15(3y+5x)

a)

Distributive

b)

Commutative

c)

Associative

d)

Identity

60.

12 - 4 x 2 =

a)

16

b)

4

c)

8

d)

18

61.

(7 + 41) ÷ 2 – 15 =

a)

19

b)

9

c)

25

d)

3

62.

18 + (6 – 2) × 2 =

a)

26

b)

29

c)

44

d)

40

63.

15 + 7 × 2 – 11 + 35=

a)

38

b)

251

c)

53

d)

50

64.

10 + 45 ÷ 9 -(14 ÷ 2) =

a)

9

b)

8

c)

53

d)

18

65.

14 + 8 x 7 - 3 =

a)

46

b)

122

c)

88

d)

67

66.

(9 + 23) ÷ (5 - 3) =

a)

16

b)

32

c)

15

d)

12

67.

Simplify the expression according to the order of operations.
2×3−(14÷7+2)²+5=

a)

-5

b)

-75

c)

49

d)

-1

68.

Simplify the expression according to the order of operations.
1×1−(6÷1+3)²+5=

a)

-5

b)

-75

c)

49

d)

-1

69.

Simplify the expression according to the order of operations.
(3+5)²−4−8÷1−3=

a)

-5

b)

-75

c)

49

d)

-1

70.

Simplify the expression according to the order of operations.
4−5−15÷5+3×1=

a)

-5

b)

-75

c)

49

d)

-1

71.

Simplify the expression according to the order of operations.
2+5−48÷8−7+62=

a)

56

b)

3

c)

9

d)

106

72.

Simplify the expression according to the order of operations.
2−28÷4+2+6×1=

a)

56

b)

3

c)

9

d)

106

73.

Simplify the expression according to the order of operations.
2+2−32÷8−3+12=

a)

56

b)

3

c)

9

d)

106

74.

Simplify the expression according to the order of operations.
35÷7+53−8(1−7)=

a)

56

b)

3

c)

9

d)

106

75.

Simplify the expression according to the order of operations.
6+6+6−3+8×6=

a)

63

b)

49

c)

94

d)

36

76.

Simplify the expression according to the order of operations.
(4+1)×(5−1+7)−6=

a)

63

b)

49

c)

94

d)

36

77.

Simplify the following expression.
3[(4-8+4² (2+5)]

a)

324

b)

87

c)

75

d)

300

78.

Write with an exponent:
$3\cdot3\cdot3\cdot3\cdot3$

a)

$3^5$

b)

$5^3$

79.

The M and D in PEMDAS stand for Multiplication and Division.

Which operation do you do first?

a)

Multiplication

b)

Division

c)

Whichever comes first in the expression as you read it from left to right

80.

The A and S in PEMDAS stand for Addition and Subtraction.

Which operation do you do first?

a)

Addition

b)

Subtraction

c)

Whichever comes first in the expression as you read it from left to right

81.

$\left[\left(-3\right)\times\left(10+\left(-7\right)\right)\right]^2\div3-\left(-9\right)^2$

a)

-78

b)

108

c)

-54

d)

87

82.

Write the product using exponents:

(-2) ⋅ (-2) ⋅ (-2) ⋅ (-2) ⋅ (-2)

a)

-2⁵

b)

2^-5

c)

(-2)⁵

d)

(-2)^-5

83.

Write the following as an exponent:
-2 x 2 x 2 x 2

a)

$4^{-2}$

b)

$-2^4$

c)

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

d)

I have no clue

84.

Write the following as an exponent:
(-2) x (-2) x (-2) x (-2)

a)

$\left(4\right)^{-2}$

b)

$-2^4$

c)

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

d)

I have no clue

85.

True or False?

-2 x 2 x 2 x 2 = (-2) x (-2) x (-2) x (-2)

a)

True

b)

False

86.

True or False?

2 x 2 x 2 x 2 = (-2) x (-2) x (-2) x (-2)

a)

True

b)

False

87.

-6² = ?

a)

36

b)

12

c)

-36

d)

-12

88.

(-6)² = ?

a)

12

b)

36

c)

-12

d)

-36

89.

Simplify
(-x)(-x)(-x)(-x)(-x)(-x)

a)

6

b)

6x⁶

c)

1/x⁶

d)

x⁶

90.

simplify (-4)³

a)

64

b)

-64

c)

12

d)

-12

91.

simplify (-3)⁴

a)

81

b)

-81

c)

12

d)

-12

92.

simplify -(-5)³

a)

15

b)

125

c)

-15

d)

-125

93.

What does the term"cubed" mean?

a)

raised to the power of 2

b)

raised to the power of 3

c)

raised to the power of 4

94.

What does the term "squared" mean?

a)

raised to the power of 3

b)

raised to the power of 4

c)

raised to the power of 2

95.

How do you use exponents to represent numbers?

a)

repeated multiplication

b)

repeated addition

c)

repeated subtraction

d)

repeated division

96.

$-\sqrt{196}\$ = ______

a)

14

b)

-14

c)

-15

d)

15

97.

$-\sqrt{121}$ = ____

a)

11

b)

12

c)

-11

d)

-12

98.

True or False

-\sqrt{36}

is a perfect square

a)

True

b)

False

99.

True or False

$-\sqrt{22}\$ is a perfect square

a)

True

b)

False

100.

$-\sqrt{7}$ is between which two consecutive numbers?

a)

$-1\ and\ -2$

b)

$-3\ and\ -4$

c)

$-2\ and\ -3$

d)

$-4\ and\ -5$

101.

$-\sqrt{150}$ is between which two consecutive numbers?

a)

$-12\ and\ -13$

b)

$-11\ and\ -12$

c)

$-13\ and\ -14$

d)

$-10\ and\ -11$

102.

$-\sqrt{200}$ is between which two consecutive numbers?

a)

$-14\ and\ -15$

b)

$-13\ and\ -14$

c)

$-12\ and\ -13$

d)

$-15\ and\ -16$

103.

All the following are Perfect Squares except for which one?

a)

81

b)

121

c)

64

d)

198

104.

Which statement is NOT true?

a)

√169 = 13

b)

15² = 225

c)

4² = √16

d)

√324 = 18

105.

What's a way to define absolute value?

a)

The value of a number

b)

The opposite of a number

c)

The distance of a number from zero

d)

The multiplicative inverse of a number

106.

Square roots are the opposite of ____________.

a)

Cube Roots

b)

Squaring

c)

Multiplication

d)

Absolute Value

107.

A perfect square is a number whose square root is ___________.

a)

Even

b)

Irrational

c)

Whole

d)

Odd

108.

The square root of a negative number is negative.

a)

True

b)

False

109.

To find the square root of a number, you must divide it by 2.

a)

True

b)

False

110.

The Principal square root is the _____________.

a)

Absolute Value

b)

Positive Square Root

c)

Negative Square Root

d)

Opposite Square Root

111.

Find the square root.
±√144

a)

11, -11

b)

16, -16

c)

13, -13

d)

12, -12

112.

The √ symbol is called the radical.

a)

True

b)

False

113.

The number under the square root symbol is called the ___________.

a)

Radical

b)

Radicand

c)

Radius

d)

Radient

114.

-√400

a)

200

b)

-200

c)

-20

d)

20

e)

not real

115.

√289

a)

18

b)

-18

c)

17

d)

-17

116.

-√144

a)

12

b)

13

c)

-12

d)

None of the above

117.

True or False?

16=-\sqrt{256}

a)

True

b)

False

118.

Which statement is TRUE?

a)

$\sqrt{8}=4$

b)

$-8=-\sqrt{64}$

c)

$9=-\sqrt{81}$

d)

$\sqrt{6}=36$

119.

b² + 4
when b = 3

a)

10

b)

12

c)

13

d)

11

120.

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

a)

3

b)

12

c)

1

d)

0

121.

Evaluate 3x + 8 if x = 2

a)

13

b)

14

c)

15

d)

16

122.

Evaluate m² if m = 5

a)

10

b)

25

123.

Evaluate 2r + 1 if r = -3

a)

-5

b)

5

c)

7

d)

-7

124.

3(2x + z) when x=8 and z=2

a)

12

b)

30

c)

54

d)

60

125.

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

a)

22

b)

27

c)

14

d)

7

126.

Evaluate the expression when h = -6 .

19 + h

a)

-13

b)

-1

c)

7

d)

13

127.

Evaluate x² when x = -2

a)

4

b)

-4

c)

2

d)

-2

128.

Evaluate x - 20 when x = 3

a)

17

b)

-17

c)

23

d)

-23

129.

Evaluate x²+ 2x - 1 when x = -3

a)

-2

b)

2

c)

16

d)

-15

130.

Evaluate the expression when y = 5
2y² + 3y

a)

75

b)

65

c)

115

d)

105

131.

Evaluate the expression when x = 7 and y = 4
xy - 4(2)

a)

3

b)

20

c)

48

132.

Evaluate 3b + 2d
when
a = 1, b = 3, d = -2

a)

3

b)

5

c)

0

d)

2

133.

What are the coefficients in the expression
8a + b + 9?

a)

8 only

b)

1 and 8

c)

8 and 9

d)

1, 8, and 9

134.

Definition of a term.

a)

Parts of an expression separated by + and - signs

b)

The number multiplied times a product of variables or powers of variables in a term

c)

A term or expression with no variables

d)

The numbers or expressions that when multiplied produce a given product

135.

Definition of a constant

a)

Parts of an expression separated by + and - signs

b)

The number multiplied times a product of variables or powers of variables in a term

c)

A term or expression with no variables

d)

The numbers or expressions that when multiplied produce a given product

136.

Definition of a coefficient.

a)

Parts of an expression separated by + and - signs

b)

The number multiplied times a product of variables or powers of variables in a term

c)

A term or expression with no variables

d)

The numbers or expressions that when multiplied produce a given product

137.

In the following expression, how many terms are there?
5x³ - 7x + 11

a)

1

b)

2

c)

3

d)

4

138.

In the following expression, the number 7 is an example of _____________?
5x³ - 7x + 11

a)

term

b)

constant

c)

coefficient

d)

variable

139.

In the following expression, the number 11 is an example of _____________?
5x³ - 7x + 11

a)

term

b)

constant

c)

coefficient

d)

variable

140.

In the following expression, which numbers are coefficients?
18x⁷ + 4x³ - 11x² + 9

a)

18, 4, -11, 9

b)

18, 4, -11

c)

7, 3, 2

d)

18, 4, 11, 2

141.

How many terms are in the following expression?
2x³ - 7 + 11x⁸ - 4x⁵

a)

1

b)

2

c)

3

d)

4

142.

A symbol for a number we don't know yet. This is usually a letter.

a)

coefficient

b)

sum

c)

variable

d)

term

143.

A number on its own that has a fixed value.

a)

constant

b)

coefficient

c)

term

d)

variable

144.

How many terms are in the algebraic expression?

2y + x + 4

a)

4

b)

3

c)

5

d)

2

145.

Identify the variable in the expression 5y+7?

a)

x

b)

5y

c)

y

d)

7

146.

Identify the coefficient in the expression.
6y + 7

a)

6y

b)

7

c)

6

d)

1

147.

Identify the constant in the expression.
2y + x + 8 + 7p

a)

7

b)

2

c)

1

d)

8

148.

How many terms are in the expression?
3x + 7+ p - 12

a)

3

b)

7

c)

4

d)

12

149.

2f + f

a)

3f

b)

2f

c)

f

150.

Simplify the expression: 2x + 1 + 7x

a)

10x

b)

10

c)

9x + 1

d)

9 + 1x

151.

Simplify the expression: 7v + 2 + 12 + 2v

a)

23

b)

23v

c)

9 + 14v

d)

9v + 14

152.

5a + 2a + 2a

a)

9a

b)

8a

c)

7a

153.

3b + b - 2b

a)

3b

b)

b

c)

2b

154.

6x + 2x + 1 + 4

a)

8x + 5

b)

2x - 3

c)

4x - 2

d)

8x + 12

155.

-4x - 10x

a)

-14

b)

6x

c)

-6x

d)

-14x

156.

-2x + 11 + 6x

a)

8x+11

b)

4x +11

c)

4x

d)

15x

157.

5x + 3x - 9

a)

7x - 9

b)

17x

c)

8x - 9

d)

-x

158.

8y + 5 - 2y

a)

6y + 5

b)

11y

c)

10y + 5

d)

15y

159.

-9n + 12n + 7

a)

28n

b)

10n

c)

21n + 7

d)

3n + 7

160.

Simplify the following expression:
3 + 5x + 8 - 2x

a)

-3x² - 11

b)

3x² + 11

c)

11 - 3x

d)

11 + 3x

161.

Simplify the expression: 2x + 1 + 7x

a)

10x

b)

10

c)

9x + 1

d)

9 + 1x

162.

5x + 3y + 5 + 4x + 3y + y + 8

a)

9x + 7y + 13

b)

6x + 2y + 2

c)

25x + 2y + 3

d)

x + 7y + 12

163.

Simplify the following expression:
(5 + 4x) + (2x - 8)

a)

13 + 6x

b)

6x - 3

c)

6x - 13

d)

6x + 3

164.

If the perimeter of the rectangle is represented by the expression:
2w - 3x + 9 + 6w - 2x - 10 + 2w - 3x + 9 + 6w - 2x - 10
Write the simplified expression to represent the perimeter by combining like terms.

a)

2w - 3x + 9 + 6w - 2x - 10 + 2w - 3x + 9 + 6w - 2x - 10

b)

8w - 5x - 1

c)

16w - 10x - 2

d)

2

165.

Write an algebraic expression to represent the perimeter of the rectangle.

a)

2w - 3x + 9 + 6w - 2x - 10

b)

2w - 3x + 9 + 6w - 2x - 10 + 2w - 3x + 9 + 6w - 2x - 10

c)

2w - 3x + 9

d)

6w - 2x - 10

166.

X²can be combined with X

a)

True

b)

False

167.

Simplify the expression:

3x²- x + 7 + 5x + 2 - 2x²

a)

x²+ 4x + 9

b)

5x²+ 9

c)

15

d)

15x

168.

Simplify the Expression:

3x²y + 4x - 6y + 4x²y -2y

a)

11x²y - 8y

b)

3y

c)

7x²y - 4y

d)

7x²y + 4x - 8y

169.

2xy can be combined with 3xy²

a)

True

b)

False

170.

x²can be combined with 2x²

a)

True

b)

False

171.

Simplify the Expression:

7x²- 3a +20 - 4x² + 2a

a)

11x²- a + 20

b)

3x²- a + 20

c)

2a + 20

d)

3x²- a

172.

Simplify the Expression:

9xy + 3x - 6xy + 2x

a)

3xy + 5x

b)

8xy

c)

8x

d)

15xy + 5x

173.

5(2x + 3)

a)

10x + 3

b)

10x + 15

c)

25x

d)

7x + 8

174.

-3(y + 7)

a)

-3y - 21

b)

-3y + 21

c)

3y - 21

d)

3y + 21

175.

-4(-2a + 5)

a)

-8a - 20

b)

8a + 20

c)

-8a + 20

d)

8a - 20

176.

6(3p - 1)

a)

12p

b)

18p - 6

c)

18p + 6

d)

-18p - 6

177.

-2(5x - 9)

a)

10x - 18

b)

-10x + 18

c)

-10x

d)

10x + 18

178.

What is the distributive property?

a)

For any numbers a, b, c,

a(b + c) = ab + ac

b)

For any numbers a, b, and c,

a(b + c) = a + (b + c)

c)

For any numbers a, b, c,

abc = a + b + c

d)

For any number a, b, and c,

a(b + c ) = a(c + b)

179.

How can 4(3 +9) be expressed using the distributive property?

a)

4(3) + 4(4 + 9)

b)

4(3) + 4(9)

c)

4 + 9 = 9 + 4

d)

(4 + 3) x (4 + 9)

180.

If a = 8, b = 4, and c = 10, what is a(b + c)?

a)

22

b)

320

c)

112

d)

2560

181.

6(p + 6) - (p - 6)

a)

5p + 42

b)

9p + 36

182.

-4(8 - c) - (3c + 7)

a)

c + 24

b)

c - 39

183.

-3(-9v - 4) - 2(v - 2)

a)

29v - 10

b)

25v + 16

184.

-9(m + 2) + 4(6 - 7m)

a)

-37m + 6

b)

-16m + 20

185.

-5(k + 6) + 7(k - 4)

a)

2k - 58

b)

2k - 24

186.

6(x + 1) - 5(x + 2)

a)

2x + 8

b)

x - 4

187.

-7(w - 4) + 3w - 27

a)

4w + 15

b)

-4w + 1

Chapter 1 Review (7DA/8SA)

Total questions: 187

Worksheet time: 3hrs 38mins

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