Free Printable USING FUNCTIONS, CONSTRUCTING EXPRESSIONS & USING FORMULAE

1.

3 more than x

a)

3x

b)

3 + x

c)

x - 3

2.

g divided by 9

a)

9g

b)

g-9

c)

g/9

d)

9/g

3.

A number less 11

a)

11 - n

b)

n - 11

c)

n/11

d)

11/n

4.

The product of 7 and j..

a)

7j

b)

j+3

c)

j-3

d)

j/3

5.

Five times Mike's age, increased by 9

a)

5(x+9)

b)

9(5+x)

c)

9x+5

d)

5x+9

6.

What are the variables of
7x + 6y - 9

a)

6,7

b)

9

c)

6y, 7x

d)

x, y

7.

Evaluate expression: 5a + b for a= 6 and b= 3

a)

33

b)

36

c)

30

d)

59

8.

Evaluate the expression:
12r when r =4

a)

124

b)

8

c)

48

d)

16

9.

The difference of five and a number

a)

5 - m

b)

5/m

c)

5 + m

d)

5 - 5

10.

seven divided by a number

a)

7/n

b)

n/7

c)

49/7

d)

n/n

11.

The product of a number and twelve

a)

x/12

b)

x - 12

c)

12 + x

d)

12x

12.

A number increased by five.

a)

5x

b)

x + 5

c)

x + x + x + x + x

d)

5 + 5

13.

Half of a number

a)

x / y

b)

2 / x

c)

2x

d)

x / 2

14.

The sum of six and a number

a)

6 + p

b)

6 - p

c)

p + p

d)

6p

15.

A number decreased by ten

a)

10x

b)

x/10

c)

10 - x

d)

x - 10

16.

Four times a number increased by seven

a)

4 + 7x

b)

4x - 7

c)

4x + 7

d)

4 - 7x

17.

Kenneth has g gumballs. Maggie has 29 fewer gumballs than Kenneth. Choose the expression that shows how many gumballs Maggie has.

a)

g+29

b)

g-29

c)

29g

d)

g ÷ 29

18.

You and four friends plan a surprise party. Each of you contributes the same amount of money m for food. What is the algebraic expression for the total amount of money contributed for food?

a)

5m

b)

4 + m

c)

5 / m

d)

4m

19.

Mitch has 35 more bouncy balls than Rudy. Rudy has b bouncy balls. Choose the expression that shows how many bouncy balls Mitch has.

a)

35 - b

b)

b

c)

35

d)

b + 35

20.

Which expression matches: the product of nine and a number

a)

9 + x

b)

9x

c)

9 ÷ x

d)

9 - x

21.

Your mom wins $100 on a scratch-off ticket. She wants to split it between you and your sisters. How much will each of you receive if there are c children?

a)

100 - c

b)

100 + c

c)

100 ÷ c

d)

100c

22.

Tracy has 16 oatmeal cookies. She splits them evenly among b bags. Choose the expression that shows how many cookies are in each bag.

a)

b – 16

b)

16

c)

16b

d)

16 ÷ b

23.

Evaluate 24 - 4t for t = 4

a)

20

b)

24

c)

8

d)

6

24.

Write a expression for the phrase "18 times the number m"

a)

18 + m

b)

18 - m

c)

18m

d)

18 ÷ m

25.

8w is another name for

a)

8 times w

b)

w multiplied by 8

c)

the product of 8 and a number

d)

all of the above

26.

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

a)

20

b)

24

c)

44

d)

4

27.

An expression does not have an equal sign

a)

TRUE

b)

FALSE

28.

Evaluate 5m when m=8

a)

58

b)

13

c)

85

d)

40

29.

Write an algebraic expression for:
6 minus a number

a)

n - 6

b)

6 - n

c)

6n

d)

6 + n

30.

Write an algebraic expression for:
the product of 5 and a number

a)

5 + n

b)

n + 5

c)

5n

d)

5/n

31.

Write an algebraic expression for:
8 more than a number

a)

8 + n

b)

8n

c)

8 -n

d)

n-8

32.

12 ÷ 3 x 4
What do you do first?

a)

3x4

b)

12÷4

c)

12÷3

33.

What would you solve first?
3 x 48 ÷ (15 - 3)

a)

3 x 48

b)

48 / 15

c)

15 - 3

d)

48-12

34.

(3+4) x (3+5)

a)

50

b)

54

c)

56

d)

48

35.

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

a)

function

b)

formula

c)

expression

d)

equation

36.

Which is NOT an expression

a)

2x+5=4x+13

b)

5x-3y

c)

2x+y-z

d)

x-4

37.

Write an expression for '3 times a number add 4'

a)

3 x n + 4

b)

3 + n + 4

c)

3n + 4

38.

If $b=10$ , find $\frac{40}{b}$ .

a)

10

b)

2

c)

30

d)

4

39.

Allison sold 12 more boxes of cookies for the fundraiser than Emily. If e = the number of boxes Emily sold, how many did Allison sell?

a)

12e

b)

e - 12

c)

12/e

d)

e + 12

40.

Which is an algebraic expression for each of the following situations?

a)

x - 7

b)

7 - x

c)

7x

d)

x/7

41.

Which is an algebraic expression for the following situation?

a)

(y + z) ÷ 9

b)

9 (y + z)

c)

(9 + z) ÷ y

d)

z

42.

Given that p = 5 , q = 2, find the value for the following expression.

a)

12

b)

10

c)

8

d)

-12

43.

In 8r - 3 , the VARIABLE is ___

a)

8

b)

r

c)

-

d)

3

44.

work out this expression

p + 5 when p = -3

a)

2

b)

-2

c)

-4

45.

work out this expression

j/4 when j = - 20

a)

-5

b)

5

c)

-10

46.

work out this expression

q - 6 when q = 4

a)

-3

b)

-2

c)

-4

47.

find 2x + 3y when x = 4, and y = 5

a)

25

b)

23

c)

24

48.

Work out the value of: p3 $\div$ 5 when p = 10

a)

6

b)

8

c)

1000

d)

200

49.

Work out the value of : 2d²+ 1 when d = 5

a)

51

b)

11

c)

101

50.

The area of a rectangle is found using the formula A = lw. What is the are of a rectangle if l=4 and w=2?

a)

6

b)

8

c)

2

d)

16

51.

The formula v = u + at is used to find the final speed. Find v if u=6, a=2 and t=5.

a)

16

b)

17

c)

32

d)

60

52.

Three consecutive numbers are to be added together. If x is the smallest number, what are the other two?

a)

x + 2 and x + 4

b)

x and y

c)

x + 1 and x + 2

d)

y and z

53.

Which of the following is the formula to find the product P of three numbers a, b, and c?

a)

P = a + b + c

b)

P = a - b - c

c)

P = ab + c

d)

P = abc

54.

One liter of gasoline costs 50 pesos. Which of the following shows the formula for the total cost C for any number of liters (l) bought?

a)

C = 50l

b)

C = 50 - l

c)

C = 50 + l

d)

C = 50/l

55.

Rachel is one year older than Chandler. Monica is three years younger than Chandler. If Chandler is x years old, which of the following could be Rachel's age?

a)

x

b)

x + 1

c)

x - 3

d)

3x

56.

Rachel is one year older than Chandler. Monica is three years younger than Chandler. If Chandler is x years old, which of the following could be Monica's age?

a)

x

b)

x + 1

c)

x - 3

d)

3x

57.

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

a)

True

b)

False

58.

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

a)

True

b)

False

59.

Rule +2
In....6 Out...8
In...10 Out...12
In...17 Out...?

a)

20

b)

10

c)

21

d)

19

60.

Rule - 2
In...10 Out...8
In...23 Out...21
In...36 Out...34
In...45 Out... ?

a)

40

b)

46

c)

43

d)

47

61.

Rule - 1
In...26 Out...25
In...35 Out...34
In...47 Out...46
In...58 Out... ?

a)

59

b)

57

c)

52

d)

56

62.

a)

Add 17

b)

Add 16

c)

Add 19

d)

Subtract 16

63.

a)

Subtract 11

b)

Add 3

c)

Subtract 8

d)

Subtract 12

64.

a)

Subtract 9

b)

Subtract 12

c)

Subtract 14

d)

Subtract 15

65.

Select all possible functions for this function machine

a)

$\times3$

b)

$+3$

c)

$\times2$

d)

$+2$

66.

Select all possible functions for this function machine

a)

$\times1.5$

b)

$+1.5$

c)

$-1.5$

d)

$\div1.5$

67.

Select the missing number

a)

6

b)

7

c)

8

d)

9

68.

Select the missing number

a)

5

b)

14

c)

16

d)

18

69.

Select the missing number

a)

70

b)

80

c)

90

d)

60

70.

Select the missing number

a)

90

b)

6

c)

7

d)

8

71.

What number goes in the question mark? Look at the in and out chart.

a)

11

b)

5

c)

4

d)

3

72.

Level 3 Which equation matches the table?

a)

y = x + 5

b)

y = 5x

c)

y = x - 5

d)

x = y - 5

73.

Look at the in and out machine and determine the rule

a)

Plus 3

b)

Minus 3

c)

Plus 2

d)

Minus 2

74.

Look at the in and out machine and determine the rule

a)

Plus 2

b)

Minus 2

c)

Plus 3

d)

Minus 3

75.

18 + (6 – 2) × 2 =

a)

26

b)

29

c)

44

d)

40

76.

What would be my first step? 3 + 4 x 6 - 4 =

a)

addition

b)

multiplication

c)

subtraction

d)

exponents

77.

18 − 4 × 2 =

a)

28

b)

16

c)

10

d)

12

78.

2 x 9 ÷ 3 =

a)

5

b)

7

c)

8

d)

6

79.

Which operation would you do first in the following equation?

10 - 4 ÷ 1 x 5

a)

Subtraction

b)

Division

c)

Multiplication

d)

Addition

80.

Pick the correct order for Order of Operations

a)

Brackets, Multiplication, Division, Addition, Indices, Subtraction

b)

Indices, Multiplication, Division, Addition, Brackets, Subtraction

c)

Brackets, Indices, Division, Multiplication, Addition, Subtraction

81.

23 + ( 30÷10 ) x 4

a)

35

b)

32

c)

12

d)

45

82.

Find and explain the error.
5 - 3 + 2
5 - 5
0

a)

There is no error.

b)

Addition was done first and you should have subtracted first

c)

There is a subtraction error

83.

2 + (9²- 4)

a)

16

b)

77

c)

79

84.

6 + (4)3

a)

18

b)

30

c)

13

d)

42

85.

What does 3² mean?

a)

3 x 2

b)

3 x 3

c)

2 x 2 x 2

86.

What step would I do second ? (4-2) x 9 + 7 =

a)

multiplication

b)

subtraction

c)

addition

d)

dividing

87.

Apply the order of operations and choose the correct answer:
30 + (16/2)

a)

38

b)

23

c)

44

88.

True or False?
2 + (4 x 5 - 2) + 8 = 28

a)

True

b)

False

89.

What are the steps to solve the following expression?

50 − 16 ÷ 2 ∗ (12 + 4)

a)

brackets

multiplication

subtraction

division

b)

brackets

multiplication

division

subtraction

c)

brackets

division

multiplication

subtraction

d)

brackets

subtraction

multiplication

division

90.

What is the order of the steps for the following expression?

50- 16 x 2 ÷ (12-4)

a)

brackets

multiplication

subtraction

division

b)

brackets

multiplication

division

subtraction

c)

brackets

division

multiplication

subtraction

d)

brackets

subtraction

multiplication

division

USING FUNCTIONS, CONSTRUCTING EXPRESSIONS & USING FORMULAE

Total questions: 90

Worksheet time: 3hrs 0mins

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