Free Printable 1st Nine Weeks Exam

1.

Match the algebraic expressions to the situations they represent

a)

Margie is 7 years older than Carrie. If Margie is m years old, how old is Carrie?

1.

m - 7

b)

Notebooks cost $5 each. How much do n notebooks cost?

2.

5 * n

c)

24 less than double x

3.

2x - 24

d)

increase the product of y and 4 by 2

4.

4y + 2

e)

$\frac{1}{3}$ * (18 + g)

5.

one-third as much as 18 more than g

2.

Which equation generalizes this pattern?

4 + 4 = 2 x 4

$\frac{1}{2}+\frac{1}{2}=\ 2\ \times\frac{1}{2}$

a)

a + a = 2 x a

b)

a + b = a x b

c)

a(a+b) = a x a + a x b

d)

a + b = b + a

3.

use order of operations to solve:

$5^2\times4\ -\ 2\ \times8$

(a)

4.

Match the following graphs to their inequalities

a)

1.

All numbers greater than 3

t > 3

b)

2.

All numbers less than or equal to -4

c)

open circle

3.

The number is not included in the solution set

d)

closed circle

4.

the number is included in the solution set

5.

Find the next three numbers in the pattern: 6, 12, 18, 24...

a)

30, 36, 42

b)

30, 36, 43

c)

27, 30, 33

d)

27, 33, 39

6.

Find the next three numbers in the pattern: 1, 4, 3, 6, 5...

(a)

7.

Find the next three numbers in the pattern: 1, 3, 9, 27, 81...

a)

243, 769, 2817

b)

242, 729, 1287

c)

242, 792, 2177

d)

243, 729, 2187

8.

The area of the circle A found by using the formula πr²

a)

Rational Numbers

b)

Irrational Numbers

c)

Natural Numbers

d)

Whole Numbers

9.

The last four digits of a debit/credit card

a)

Natural Numbers

b)

Integers

c)

Whole Numbers

d)

Rational Numbers

10.

Write the numbers in decreasing order:

1,\ -3,\ -\sqrt{2},\ 8,\ \frac{1}{3}

a)

$8,\ 1,\ \frac{1}{3},\ -\sqrt{2},\ -3$

b)

$8,\ 1,\ \frac{1}{3},\ -3,-\sqrt{2}$

c)

$8,\ \frac{1}{3},\ 1,\ -\sqrt{2},\ -3$

d)

$1,\ \frac{1}{3},\ -\sqrt{2},\ -3,\ 8$

11.

Identify the property
a + b = b + a

a)

Identity of addtion

b)

commutative of addition

c)

associative of addition

d)

symmetric

12.

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

13.

Identify the property

a (1) = a

a)

identity of addition

b)

identity of multiplication

c)

inverse of addtion

d)

multiplication of zero

14.

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

15.

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

a)

b + c + a = a + b + c

b)

a(b + c) = ab + ac

c)

a ⋅ b = b⋅ a

d)

a ⋅ 1 = a

16.

Pick the answer that is an example of the identity property of addition.

a)

a + (-a) = 0

b)

1 + 1 = 2

c)

a + 0 = a

d)

a + b = b + a

17.

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

a)

Associative of addtion

b)

Distributive

c)

Commutative of addition

d)

Inverse

18.

Identify the property
a + (-a) = 0

a)

Inverse of addition

b)

Identity of addtion

c)

associative of addition

d)

symmetric

19.

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

20.

What is the additive inverse of 2/3?

a)

-2/3

b)

3/2

c)

2/3

d)

-3/2

21.

Any number you multiply by zero is equal to zero.

a)

True

b)

False

22.

True or false: abc = cba

a)

True

b)

False, if c = 0.

c)

False, if a > b.

d)

False, three variables can't multiply.

23.

(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

24.

What is the multiplicative inverse of 2/3?

a)

-2/3

b)

3/2

c)

-3/2

d)

2/3

25.

Which operations are inverses of each other?

a)

Addition and Multiplication

b)

Subtraction and Division

c)

Addition and Subtraction

d)

Multiplication and Division

26.

b − 3 + 6 − 2b

a)

-b + 3

b)

3b + 9

c)

b + 3

d)

-3b + 3

27.

9 + 5r − 9r

a)

4r + 9

b)

-4r - 9

c)

-4r + 9

d)

5r

28.

−2(7 − n) + 4

a)

-n + 18

b)

-2n - 10

c)

-n + 9

d)

2n - 10

29.

−8(−5b + 7) + 5b

a)

45b − 56

b)

-35b + 7

c)

-45b + 56

d)

10b - 1

30.

−4p − (1 − 6 p)

a)

-10p

b)

2p − 1

c)

-10p -1

d)

-2p - 4

31.

−7(k − 8) + 2k

a)

-5k - 56

b)

-5k - 8

c)

10k - 7

d)

−5k + 56

32.

4 − 5(−4n + 3)

a)

-9n + 7

b)

20n - 11

c)

-20n + 19

d)

20n + 19

33.

1 + 7(1 − 3b)

a)

-3b + 9

b)

21b + 8

c)

-3b + 7

d)

-21b + 8

34.

3 − 8(7 − 5n)

a)

-5n + 59

b)

-40n +31

c)

40n - 53

d)

-35n -5

35.

−6(a + 8)

a)

-6a + 8

b)

-6a - 48

c)

-6a + 2

d)

6a + 48

36.

6(−5n + 7)

a)

-11n + 13

b)

30n + 42

c)

-30n + 7

d)

-30n + 42

37.

−8(1 − 5x)

a)

-8 + 40x

b)

8 + 40x

c)

-8 - 40x

d)

8 - 40x

38.

Factor. 6a + 20

a)

2(a + 10)

b)

6(a + 14)

c)

2(3a + 10)

d)

3(2a + 5)

39.

Factor. 4x + 10

a)

4(x + 10)

b)

2(2x + 10)

c)

4(x + 2)

d)

2(2x + 5)

40.

Factor. 45c + 10d

a)

45(c + 10d)

b)

5(9c + 2d)

c)

5cd(9 + 2)

d)

2(22.5c + 5d)

41.

Factor. 27 - 9x + 15y

a)

9(3 - x + 15y)

b)

3(9 - 3x + 5y)

c)

2(13 - 5x + 7y)

d)

3(9 - 9x + 5y)

42.

addition, subtraction, multiplication, division

a)

operations

b)

solution

c)

algebraic expression

d)

equation

43.

A letter used to represent a number value in an expression or an equation.

a)

equation

b)

operations

c)

variable

d)

algebraic expression

44.

A mathematical statement that says that two expressions have the same value; any number sentence with an =.

a)

solution

b)

factor

c)

algebraic expression

d)

equation

45.

The value of a variable that makes an equation true.

a)

operation

b)

expression

c)

factor

d)

solution

46.

Match the following:

a)

Division

1.

Quotient

b)

Addition

2.

Sum

c)

Multiplication

3.

Product

d)

Subtraction

4.

Difference

47.

Match the following:

a)

$\sqrt[]{x}$

1.

the square root of a number

b)

$x^2$

2.

a number squared

c)

$\sqrt[3]{x}$

3.

the cube root of a number

d)

$x^3$

4.

a number cubed

48.

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

a)

12

b)

30

c)

54

d)

60

49.

2x + 5(y - 1) when x=8 and y=5

a)

20

b)

31

c)

36

d)

-4

50.

(y + z)² when y=5 and z=2

a)

7

b)

49

c)

29

d)

14

51.

Evaluate the expression for the given value of the variable.
3x + 5 when x = 5

a)

18

b)

20

c)

200

d)

15

52.

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

a)

9

b)

38

c)

-38

d)

-9

53.

Reorder the following steps to solve for x

5(x-4) + 3x -1 = 10x -2

a)

Combine like terms

b)

Distribute the 5

c)

Subtract 8x

d)

Add 3

e)

Divide by 2

1)

2)

3)

4)

5)

54.

Solve for x

5x - (2x + 2) = 5

a)

x = 1

b)

x = 3

c)

x = -1

d)

x = 5

55.

What is the best first step to solve this equation

5 (x-4) + 3x -2 = 4 (2x-1)

a)

Subtract 3x

b)

Combine Like Terms

c)

Distribute the 5 & 4

d)

Add 2

56.

Solve for x

6 (x-1) = 6

a)

x = 2

b)

x = -2

c)

x = 7

d)

x = -7

57.

Solve for x

2x - 12 = -5x +4x

a)

x = 3

b)

x = 4

c)

x = -3

d)

x = -4

58.

Is there a mistake on the equation solved? If so where was the mistake made?

a)

This equation is solved correctly.

b)

The mistake was made on the first step of combining like terms on the left side.

c)

The mistake was made on the second step of moving the variable to the left side.

d)

The mistake was made on the third step of moving the constant to the right side.

e)

The mistake was made on the last step when isolating the variable by removing the coefficient

59.

Is there a mistake on the equation solved? If so where was the mistake made?

a)

This equation is solved correctly.

b)

The mistake was made on the second step of combining like terms on the left side.

c)

The mistake was made on the third step of moving the variable to the right side.

d)

The mistake was made on the fourth step of moving the constant to the left side.

e)

The mistake was made on the first step doing the distributive property.

60.

Is there a mistake on the equation solved? If so where was the mistake made?

a)

This equation is solved correctly.

b)

The mistake was made on the first step of doing the distributive property.

c)

The mistake was made on the second step of moving the variable.

61.

Solve the equation.

a)

x = 6

b)

x = 30

c)

x = 3.3

d)

x = 54

62.

Solve the equation.

a)

x = 21

b)

x = 27

c)

x = 36

d)

x = 2.25

63.

Solve the equation.

a)

x = 0.6

b)

x = 2.3

c)

x = 4

d)

x = -1

64.

Solve the equation.

a)

x = 1

b)

x = 5

c)

x = 0.27

d)

x = 1.36

65.

What will the equation look like after you distribute?

a)

-6x - 8 = 10

b)

-6x + 8 = 10

c)

-5x - 6 = 10

d)

-5x + 6 = 10

66.

What is the first step in solving this equation?

a)

add 4 to both sides

b)

distribute the 4

c)

subtract 4 to both sides

d)

subtract 12 to both sides

67.

What will the equation look like after you combine like terms?

a)

-5x + 5 = 35

b)

x + 5 = 35

c)

5x + 5 = 35

d)

-x + 5 = 35

68.

What is the first step in solving this equation?

a)

subtract 3 to both sides

b)

subtract the 6 - 2

c)

distribute 2

d)

distribute -2

69.

Solve 21 + m = 33

a)

m = 54

b)

m = 12

c)

m = -54

d)

m = -12

70.

Solve a - 5 = - 12

a)

a = 7

b)

a = -7

c)

a = 17

d)

a = -17

71.

Solve 3(n - 7) = - 30

a)

n = -3

b)

n = 3

72.

Solve the inequality

6 + h ≥ 12

a)

h ≥ 6

b)

h ≥ -6

c)

h ≥ 18

d)

h ≥ -18

73.

14 + y > 5

a)

y > 19

b)

y > -9

c)

y > 9

d)

y > -19

74.

x + 0.7 > - 0.3

a)

x > - 0.4

b)

x > 0.4

c)

x > -1

d)

x > 1

75.

w - 8 ≥ 5.6

a)

w ≥ -3.6

b)

w ≥ 3.6

c)

w ≥ -13.6

d)

w ≥ 13.6

76.

Write an inequality for this statement:

Four more than a number is more than 13

a)

n + 4 ≥ 13

b)

n + 4 > 13

c)

13 > n + 4

d)

13 < 4n

77.

Write an inequality for this statement:

The sum of a number and 19 is at least 8.2

a)

n + 19 ≥ 8.2

b)

n - 19 ≥ 8.2

c)

n + 19 ≤ 8.2

d)

n - 19 ≤ 8.2

78.

Solve the inequality

6y ≤ 18

a)

y ≤ 3

b)

3 ≤ y

c)

y > 3

d)

3 > y

79.

-3t ≥ 33

a)

t ≥ -11

b)

t ≤ -11

80.

-56 ≤ -8r

a)

7 ≥ r

b)

-7 ≥ r

81.

6x + 14 ≥ 20

a)

x ≥ 1

b)

1 ≥ x

c)

x ≥ 5.6

d)

5.6 ≥ x

82.

x/13 + 3 ≥ 4

a)

x ≥ 13

b)

13 ≥ x

c)

x ≥ 91

d)

91 ≥ x

83.

Solve for x
∣ 2x + 9 ∣ = 15

a)

x = 3

b)

x = 3 x = -6

c)

x = 3 x = -12

d)

x = 6 x = -12

84.

An absolute value can NOT equal...

a)

a positive number

b)

a negative number

85.

Solve for x
|−2n| + 10 = −50

a)

{30, -30}

b)

{20,-20}

c)

{-5,5}

d)

No Solution

86.

Solve for x
| m - 2 | < 8

a)

9 > m > 8

b)

2 < m < -6

c)

-6 < m < 10

d)

0 > m < 0

87.

Solve for x
| x - 7 | > 3

a)

x>4 or x<10

b)

4 < x < 10

c)

x>10 and x<4

d)

x>10 or x<4

88.

Solve for x
| 2x – 3 | + 5 =10.

a)

{ -1, 1 }

b)

{ -1, 4 }

c)

{ -1, -4 }

d)

{ 1, 4 }

89.

Solve for x
l 2x−1 l +4 = 8

a)

x = 2.5 and x = -1.5

b)

x = 2 and x = -1

c)

x = -2 and x = 9

d)

No Solution

90.

Solve for x
∣ -2x + 9 ∣ > 15

a)

x<-3 or x>12

b)

-3 < x < 12

c)

x<-3 and x>12

d)

-3 < x > 12

91.

Solve for x
| 6 - 2x | = -5

a)

11/2, 1/2

b)

-5, 5

c)

1, 3

d)

⊘ No solution

92.

Describe the movements.
y = − | x | + 4

a)

Left 4, Down 1

b)

Reflect x-axis, Down 4

c)

Reflect x-axis, Up 4

d)

Right 4, Up 1

93.

Describe the movements.
y = | x + 2 | + 2

a)

Left 2, Up 2

b)

Right 2, Up 2

c)

Left 2, Down 2

d)

Right 2, Down 2

94.

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

a)

<, >

b)

≤, ≥

95.

What is the proper inequality solution for the graph?

a)

-4 < x < 2

b)

x < -4 or x > 2

96.

What is the proper absolute value inequality for the graph?

a)

| x + 1 | < 3

b)

| x - 1 | > 3

97.

What is the proper inequality solution for the graph?

a)

-7 ≤ x ≤ 3

b)

x ≤ -7 or x ≥ 3

98.

What is the correct absolute value inequality for the graph?

a)

| x + 2 | > 5

b)

| x - 2 | < 5

99.

Solve the absolute Value inequality and graph.

a)

A

b)

B

c)

C

d)

D

100.

Solve the absolute Value inequality and graph.

a)

A

b)

B

c)

C

d)

D

101.

Solve the absolute Value inequality and graph.

a)

A

b)

B

c)

C

d)

D

102.

Solve the absolute Value inequality and graph.

a)

A

b)

B

c)

C

d)

D

103.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

104.

Is this table a function or not a function?

a)

Function

b)

Not a Function

105.

Is this set of ordered pairs a function or not a function?

{5,-2), (3,-5), (2,-5), (0,-2), (-1,-3)}

a)

Function

b)

Not a Function

106.

Does the given table represent a function?

a)

Function

b)

Not a Function

107.

Which graph shows a relation that is a function?

a)

b)

c)

d)

108.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

109.

a)

Function

b)

Not a Function

110.

What is the range?

a)

{-2,2,5}

b)

{1,3,5,6}

c)

all real numbers

d)

-2<y<5

111.

What is the domain of the graph?

a)

{-4, 0, 2, 4}

b)

{-5, -4, -3, -1}

c)

{-5, -4, -3, -1, 0, 2, 4}

d)

All real numbers

112.

a)

{-2, 3, 7}

b)

[-2, 7]

c)

{1, 2, 3, 4}

d)

[1, 4]

113.

What is the domain?

a)

{0, 1, 2, 15}

b)

(0, 1, 2, 3}

c)

{3, 7, 11, 15}

d)

{3, 7, 11, 3}

114.

What is the range?

a)

{0, 1, 2, 15}

b)

(0, 1, 2, 3}

c)

{3, 7, 11, 15}

d)

{3, 7, 11, 3}

115.

What is the domain?

a)

{3, 4}

b)

{1, 2, 3}

c)

{1, 2, 3, 4}

d)

{1, 3}

116.

What is the range?

a)

{3, 4}

b)

{1, 2, 3}

c)

{1, 2, 3, 4}

d)

{1, 3}

117.

Evaluate f(t)=-2t²+ 1 for f(-3)

a)

19

b)

37

c)

-17

d)

-11

118.

The function h(t) represents the height in inches of a plant after t weeks. What does the notation h(4) = 5 mean?

a)

After 5 week the plant is 4 inches tall

b)

The plant grows at a rate of 5/4 inch per week

c)

After 4 weeks the plant is 5 inches tall

d)

The plant grows at a rate of 1 inch per week

119.

Evaluate f(-3)

a)

f(-3) = -3

b)

f(-3) = 0

c)

f(-3) = 2

d)

not enough information to give an answer

120.

a)

f(-2) = -1

b)

f(-2) = -9

c)

f(-2) = 9

d)

f(-2) = 0

121.

Evaluate f(8)

a)

f(8) = -3

b)

f(8) = 1

c)

f(8) = 0

d)

f(8) = -1

122.

r(-2) = ?

a)

r(-2) = -12

b)

r(-2) = -8

c)

r(-2) = -4

d)

r(-2) = -2

123.

A relation where every input yields one and only one output is called what?

a)

Relation

b)

Linear

c)

Exponential

d)

Function

124.

Does this relation represent a function?

a)

No

b)

Yes

125.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

126.

Is this a function?

a)

Yes

b)

No

127.

A function is a relation where each input has exactly (a) output.

128.

In a function the outputs represent the (a) values.

Choose from the below words

y

x

z

w

129.

Which relation is NOT a function?

a)

{(1,-5), (3,1), (-5,4), (4,-2)}

b)

{(2,7), (3,7), (4,7), (5,8)}

c)

{(1,-5), (-1,6), (1,5), (6,-3)}

d)

{(3,-2), (5,-6), (7,7), (8,8)}

130.

Does the graph represent a function?

a)

Yes, because the vertical line test shows there are no repeating input values

b)

No, because the vertical line test shows there are repeating input values

131.

Does this table represent a function?

a)

No, every input has exactly one output

b)

Yes, every input has exactly one output

c)

Yes, every input goes to more than one output

d)

No, every input goes to more than one output

132.

Which table represents y as a function of x?

a)

Table 1

b)

Table 2

133.

In a direct variation, y = 39 when x = 3.
Find the value of y when x = 2.

a)

26

b)

3

c)

58.5

d)

2

134.

The value of y varies directly with x. Which function represents the relationship between x and y if y = 14 when x = 6.

a)

y=20x

b)

y=84x

c)

y=7/3x

d)

y=3/7x

135.

Y varies directly with x, and y is 84 when x is 16. Which equation represents this situation?

a)

y=1344x

b)

y=100x

c)

y=5.25x

d)

y=4/21x

136.

If x and y vary directly, what is the missing value in the points (x, 4) and (-14, -8)?

a)

x = -7

b)

x = -2.3

c)

x = 2.3

d)

x = 7

137.

In a direct variation, y=39 when x=3. Find the value of y when x=2.

a)

26

b)

3

c)

58.5

d)

2

138.

Which of the given graphs is a direct variation?

a)

A

b)

B

c)

C

d)

D

139.

In a direct variation, y = 39 when x = 3.
Find the value of y when x = 2.

a)

26

b)

3

c)

58.5

d)

2

140.

y varies directly with x. When y = 39, x = 3. Find the value of y when x = 2.

a)

26

b)

3

c)

58.5

d)

2

141.

y varies directly with x. When y is 16, x is 32. Which equation represents this situation?

a)

y = 32x

b)

y = 16x

c)

y = 2x

d)

y = (1/2)x

142.

What ordered pair does a direct variation always go through when graphed?

a)

(0, 0)

b)

(1, 0)

c)

(0, 1)

d)

(1, 1)

143.

Which of the given graphs is a direct variation?

a)

A

b)

B

c)

C

d)

D

144.

Is this a direct variation?

a)

yes

b)

no

145.

Is this a direct variation?

a)

yes

b)

no

146.

Y varies directly with x, and y is 84 when x is 16. Which equation represents this situation?

a)

y=1344x

b)

y=100x

c)

y=5.25x

d)

y=4/21x

147.

Which of the following represents direct variation?

a)

y = kx

b)

y = k/x

c)

y = x/k

d)

y = mx + b

148.

Solve for the unknown variable:

If a varies directly as b and a = 12 when b = 20, what is the value of b if a = 123? (no space)

(a)

149.

Solve for the unknown variable:

If z varies directly as r and z = 243 when r = 27. What is the value of z when r = 780? (do not use comma)

(a)

150.

Does y varies directly as x? Type YES or NO (use capital letter)

(a)

1st Nine Weeks Exam

Total questions: 150

Worksheet time: 5hrs 39mins

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