Free Printable holiday pack 1

1.

The number h decreased by 8

a)

H+8

b)

H-8

c)

8h

d)

8-h

2.

The number h decreased by 8

a)

H+8

b)

H-8

c)

8h

d)

8-h

3.

The sum of seven and x

a)

7x

b)

7-x

c)

7+x

d)

X-7

4.

Find the monomial

a)

5ayx

b)

X+3x-5

c)

Xy+7-9t

d)

X+y

5.

Find the bionomial

a)

A+7

b)

A-3y+9

c)

8yx

d)

y-6x+9x

6.

Find the trinomial

a)

A-8x+9x

b)

Y-x

c)

3xy

d)

8y-6x

7.

Solve using distributive property 3(x-6)

a)

3x-6

b)

3x+6

c)

3x+18

d)

3x-18

8.

The algebraic expression 6x - 4 can be written as which of the following?

a)

four less than six

b)

The product of six and a number x decreased by four

c)

Six times a number x less than four

d)

x to the sixth power decreased by four

9.

Combine like terms simplify. 2x + x - 4y

a)

4x+4y

b)

3x+4y

c)

3x-4y

d)

2x+x-4y

10.

What is the coefficient in the given expression: 2 - p + 4?

a)

2

b)

4

c)

0

d)

1

11.

A __________ is a symbol, usually a letter that stands for a number.

a)

Algebraic expression

b)

Variable

c)

Term

d)

Cofficient

12.

three times the difference between eighteen and thirteen

a)

3x(18+3)

b)

3x(18-3)

c)

18 x 3-3

13.

If f(x) = -4x - 5 and
g(x) = 3 - x,
what is g(-4) + f(1)?

a)

7

b)

-2

c)

-9

d)

-10

14.

Given g(x) = 3/4 x + 10, find g(-12).

a)

g(-12) = 19

b)

g(-12) = 1

15.

If f(x) = x² and g(x) = 3x - 1, find f(g(x))

a)

9x² - 6x + 1

b)

3x - 1

c)

3x² - 1

d)

9x² - 1

16.

Given f(x) = 3x + 10
and g(x) = x - 2
Find f(g(5))

a)

19

b)

23

c)

-10

d)

None of these.

17.

Given f(x) = 2x and g(x) = x²+3 , find f(g(x)).

a)

x²+2x+3

b)

4x²+3

c)

2x²+3

d)

2x²+6

18.

Which expression represents g(f(x)) if f(x) = 2x - 8
and
g(x) = 4x

a)

8x - 32

b)

8x² - 32x

c)

8x - 8

d)

6x - 8

19.

f(x) = 3x + 10
g(x) = x - 2
Find g(f(-10))

a)

-42

b)

-26

c)

-18

d)

None of these.

20.

f(x) = 3x + 10
g(x) = x - 2
Find g(f(-10))

a)

-42

b)

-26

c)

-18

d)

None of these.

21.

f(x) = 3x + 10

g(x) = x - 2

Find (f∘g)(0)

(a)

22.

g(x)=3x+4

h(x)=3x-1

Find (g∘h)(x)

(a)

23.

Write an equation to show a relationship between the input and the output

a)

a x 9 = b

b)

a ÷ 8 = b

c)

a ÷ 9 = b

d)

b ÷ 8 = b

24.

Write an equation to show a relationship between the input and the output

a)

w ÷ 6 = x

b)

x ÷ 6 = w

c)

w ÷ 9 = x

d)

x - 10 = w

25.

Write an equation to show a relationship between the input and the output

a)

m ÷ 9 = n

b)

m ÷ 7 = n

c)

n x 7 = m

d)

m - 17 = n

26.

Write an equation to show a relationship between the input and the output

a)

g ÷ 3 = h

b)

g + 6 = h

c)

g x 3 = h

d)

g x 6 = h

27.

Determine which rule best represents the expression the function machine used

a)

P x 5

b)

P + 5

c)

P x 8

d)

P x 9 + 8

28.

Determine which rule best represents the expression the function machine used

a)

Z + 7

b)

Z x 7

c)

Z x 8 + 7

d)

Z x 6 + 7

29.

Determine which rule best represents the expression the function machine used

a)

R x 10 + 8

b)

R x 7 - 9

c)

R x 7 - 8

d)

R + 8

30.

Determine which rule best represents the expression the function machine used

a)

H - 8

b)

H ÷ 2 + 1

c)

H ÷ 2 - 1

d)

H ÷ 3 + 1

31.

Write an equation to show a relationship between the input and the output

a)

k x 2 + 7 = l

b)

k x 2 - 6 = l

c)

k + 20 = l

d)

k x 5 + 5 = l

32.

Determine which rule best represents the expression the function machine used

a)

U x 8

b)

U x 5 + 8

c)

U x 5 + 7

d)

U + 8

33.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

34.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

35.

Which graph is a function?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

36.

Is this table a function or not a function?

a)

Function

b)

Not a Function

37.

Is this table a function or not a function?

a)

Function

b)

Not a Function

38.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

39.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

40.

a)

Function

b)

Not a Function

41.

Determine if the relation is a function

a)

Not a function, each input has more than one output

b)

Yes it is a function, because each input has exactly on output

c)

Not a function, input is equal to output

d)

Yes it is a function, -1/2 is a fraction of 2

42.

Determine if the relation is a function

a)

Yes, each input has one output

b)

Yes, each output has one input

c)

No, because the pattern is 4

d)

No, each input is the same as the output

43.

Which graph is not a function?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

44.

Which of the following equations is not a function?

a)

$x=10$

b)

$y=5$

c)

$y=6x+1$

d)

$y=x^2$

45.

What is the definition of function?

a)

Each input has outputs

b)

Each input has exactly one output

c)

Each output has exactly one input

d)

A list of x-values and y-values

46.

Which relation is a function?

a)

{(0,1), (1,2), (3,3), (3,4)}

b)

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

c)

{(1,3), (2,2), (2,0), (3,4)}

d)

{(1,2), (2,2), (3,2), (1,3)}

47.

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)}

48.

Is the relation in this table a function?

a)

Yes, each input has exactly one output

b)

No, each input has more than one output

c)

No, the cost of the movies is different

d)

Yes, each output has exactly one input

49.

List the ordered pairs represented in the mapping.

a)

Input and Output

b)

(-1, 1), (-2, 1), (-3,2), (-4,2)

c)

(1,1) (2,4)

d)

(1,-1), (1,-2), (2,-3), (2,-4)

50.

Is the relation in the table a function?

a)

Yes, each input has exactly one output

b)

No, each input has exactly one output

c)

Yes, each input has multiple outputs

d)

No, each input has multiple outputs

51.

Given: {(5, 2), (7, 4), (9, 10), (x, 5)}, which of the following values substituted for x will make this relation a function?

a)

7

b)

9

c)

4

d)

5

52.

A set of ordered pairs is called what?

a)

An Expression

b)

A Relation

c)

A Function

d)

The Vertical Line Test

53.

A (n) _______________ connects numers and variables with mathematical operations such as ( $+,-,\times,\div$ )

a)

function

b)

formula

c)

expression

d)

equation

54.

A (n) _______________ contains an equal sign $=$ . It is a statement that shows that the expression on each side of the equal sign are equal.

a)

Formula

b)

Function

c)

Expression

d)

Equation

55.

A(n) _____________________ is a relationship that maps a set of input values to a set of output values. Each input value should map to exactly one output value.

a)

Formula

b)

Function

c)

Expression

d)

Equation

56.

A(n) _____________________ is a type of equation that expresses the relationship between certain value quantities.

a)

Formula

b)

Function

c)

Expression

d)

Equation

57.

Which is NOT an expression

a)

2x+5=4x+13

b)

5x-3y

c)

2x+y-z

d)

x-4

58.

$x\rightarrow\ 5x-2$ is a (n)

a)

Formula

b)

Function

c)

Expression

d)

Equation

59.

In the equation $2x+3=11$ , x is a particular value that can be found by solving the equation

a)

True

b)

False

60.

Choose the ones that represent a function:

a)

Volume= base x height x width

b)

Cost = $5 x number of books

c)

3n + 2m

d)

m $\rightarrow$ 2m+1

61.

Which of the following is an equation

a)

2x -8

b)

2x + 5 = 15

c)

x+5= 4x-20

d)

y=3x+2

62.

Select all of those who do NOT represent a function:

a)

x $\rightarrow$ 2x+3

b)

20-2n

c)

y $\rightarrow$ 3y+5

d)

4x-6=26

63.

4m-1=y is a(n)

a)

Formula

b)

Function

c)

Expression

d)

Equation

64.

Area = base x height ia a

a)

Formula

b)

Function

c)

Expression

d)

Equation

65.

What is $a\ +2\ =b$ ?

a)

Formula

b)

Function

c)

Expression

d)

Equation

66.

Monica says that $17=24-n$ is an equation.

a)

True

b)

False

67.

Evaluate the given expression when b=4 and a=2

a)

-2

b)

-1

c)

8

d)

1

68.

Evaluate the given expression when a=2, b=-2, and c=4

a)

2

b)

18

c)

-18

d)

-2

69.

Evaluate the given expression when x=12 and y=-2.

a)

-6

b)

4

c)

-1/4

d)

-36

70.

Evaluate the given expression when y=4 and x=12.

a)

b)

c)

d)

3

71.

Determine the value of the function when x=2

a)

-15

b)

11

c)

3

d)

-13

72.

Determine the value of the function when x=4.

a)

0

b)

14

c)

16

d)

-16

73.

Determine the value of the function when x=-3

a)

24

b)

0

c)

6

d)

-6

74.

Determine the value of the function when x =-1

a)

1

b)

-1

c)

-11

d)

11

75.

In the algebraic expression 5m, the letter m is called a(n) _____.

a)

coefficient

b)

function

c)

like term

d)

replacement set

e)

variable

76.

The set of second numbers of the ordered pairs in a relation is the ____ of the relation.

a)

coordinate system

b)

discrete function

c)

domain

d)

independent variable

e)

range

77.

Another word for the inverse or the "flip" of a ratio is the ______.

a)

reciprocal

b)

domain

c)

function

d)

identity

e)

multiplicative inverse

78.

In a(n) _____, there is exactly one _____ for each ______.

a)

relation, domain value, range value

b)

relation, range value, domain value

c)

function, domain value, range value

d)

function, range value, domain value

79.

A function graphed with a line or smooth curve drawn through its points is called a(n) _______

a)

relational function

b)

algebraic expression

c)

continuous function

d)

discrete function

80.

The set of the first number of the ordered pairs of a function is the _____.

a)

independent variable

b)

domain

c)

like term

d)

replacement set

e)

range

81.

The _____ is a point where the graph touches, or intersects, the x axis or the y axis.

a)

intersection value

b)

intercept

c)

solution set

d)

independent variable

82.

The ____ of a term is its numerical factor.

a)

coefficient

b)

exponent

c)

like term

d)

replacement set

e)

variable

83.

______ are terms that contain the same variables, with corresponding variables having the same power.

a)

algebraic expressions

b)

domains

c)

ranges

d)

like terms

e)

replacement sets

84.

The points on the graph of this type of relation cannot be connected.

a)

discrete function

b)

continuous function

c)

coordinate system

d)

dependent relation

85.

Write an algebraic expression for the sum of a number and 8.

a)

8x

b)

x - 8

c)

x + 8

d)

x / 8

86.

Write an algebraic expression for 27 decreased by a number.

a)

27 + x

b)

27 - x

c)

x - 27

d)

27 / x

87.

Write a verbal expression for 19a.

a)

the sum of 19 and a number

b)

the difference of 19 and a number

c)

the quotient of 19 and a number

d)

he product of 19 and a number

88.

Write a verbal expression for x + y.

a)

the sum of x and y

b)

the quotient of x and y

c)

the difference of x and y

d)

the product of x and y

89.

Evaluate 6(8 – 3).

a)

45

b)

30

c)

11

d)

66

90.

Evaluate 2k + m if k = 11 and m = 5.

a)

32

b)

216

c)

27

d)

18

91.

Simplify 7b + 2b + 3c.

a)

12bc

b)

9b + 3c

c)

7b + 5c

d)

5b + 3c

92.

Simplify 5(2g + 3).

a)

10g + 3

b)

7g + 3

c)

10g + 15

d)

7g + 8

93.

Evaluate 4 · 1 + 6 · 16 + 0.

a)

100

b)

0

c)

8

d)

185

94.

Find the solution of x + 4 = 7 if the replacement set is {1, 2, 3, 4, 5}.

a)

1

b)

3

c)

4

d)

2

95.

A car rental company charges a rental fee of $20 per day in addition to a charge of $0.30 per mile driven. How much does it cost to rent a car for a day and drive it 25 miles?

a)

$45.30

b)

$20.30

c)

$27.50

d)

$26.00

96.

What is the domain of the relation?

a)

{–1, 0, 1, 3}

b)

{–2, –1, 0, 1, 2, 3}

c)

{–2, 0, 1, 3}

d)

{0, 1, 2, 3}

97.

Determine which relation is a function.

a)

b)

$y=\frac{1}{5}x+2$

c)

d)

{(3, 0), (– 2, – 2), (7, – 2), (– 2, 0)}

98.

$If\ h\left(r\right)=\frac{2}{3}x-6,\ what\ is\ the\ value\ of\ h\left(-9\right)?$

a)

$12$

b)

$0$

c)

$-6\ \frac{2}{3}$

d)

$-12$

99.

Interpret the y-intercept of the graph.

a)

All those polled used a social networking site 8 months after February 2005.

b)

About 8% of those polled used a social networking site in February 2005.

c)

No one used a social networking site in February 2005.

d)

There were 8 social networking sites in February 2005.

100.

Interpret the end behavior of the function in terms of social networking.

a)

expected to decrease

b)

expected to increase

c)

expected to level off at 55%

d)

expected to level off at 8%

101.

A sequence that carries on for ever is called ....

a)

Geometric sequence

b)

Arithmatic sequence

c)

Infinite sequence

d)

Finite sequence

102.

"Add 5" this part in sequence is called ....

a)

rules

b)

term-to-term rule

c)

direction

d)

term

103.

Relationship between two sets of numbers is ....

a)

function

b)

mapping

c)

term-to-term-rule

d)

input

104.

$n-3$ is called an ....

a)

number

b)

variable

c)

unknown number

d)

expression

105.

A function can also be shown as ....

a)

diagram

b)

mapping

c)

input

d)

mapping diagram

106.

The rule of these function is ....

a)

$-4$

b)

$+4$

c)

$+2$

d)

$+3$

107.

The numbers that able to fill the input are ....

a)

4 and 2

b)

8 and 10

c)

8 and 12

d)

12 and 8

108.

Work these out.

a)

10

b)

9

c)

8

d)

11

109.

The rule of these function is ....

a)

$-4$

b)

$\div2$

c)

$\div3$

d)

$-2$

110.

The next two terms of this sequence is ....

a)

22 and 20

b)

18 and 20

c)

23 and 22

d)

22 and 21

111.

The next two terms of these sequence is ....

a)

5 and 3

b)

5 and 1

c)

2 and 4

d)

5 and 2

112.

The next two terms of these sequence are ....

a)

21 and 23

b)

23 and 28

c)

20 and 25

d)

22 and 24

113.

Angel has a bag that contain x sweets. Write an expression for the total number of sweets she has in the bag when she puts in 3 more.

a)

x-3

b)

x+2

c)

x+3

d)

x-1

114.

The cost of an adult's ticket into a theme park is $a. The cost of child's ticket into the same theme park is $c. Write an expression for the total cost for 4 adults and 3 children.

a)

4a$ and 3c$

b)

3a$ and 3c$

c)

2a$ and c$

d)

a$ and c$

115.

Work these out.

a)

1

b)

2

c)

3

d)

5

holiday pack 1

Total questions: 115

Worksheet time: 2hrs 3mins

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