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Worksheets

CONSTRUCTING EXPRESSIONS & USING FORMULAE

Total questions: 50

Worksheet time: 3hrs 30mins

Name
Class
Date
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.

Nine more than a number

a)

9x

b)

9 - x

c)

9 + x

d)

9 + 9

10.

The difference of five and a number

a)

5 - m

b)

5/m

c)

5 + m

d)

5 - 5

11.

seven divided by a number

a)

7/n

b)

n/7

c)

49/7

d)

n/n

12.

The product of a number and twelve

a)

x/12

b)

x - 12

c)

12 + x

d)

12x

13.

A number increased by five.

a)

5x

b)

x + 5

c)

x + x + x + x + x

d)

5 + 5

14.

Half of a number

a)

x / y

b)

2 / x

c)

2x

d)

x / 2

15.

The sum of six and a number

a)

6 + p

b)

6 - p

c)

p + p

d)

6p

16.

A number decreased by ten

a)

10x

b)

x/10

c)

10 - x

d)

x - 10

17.

Four times a number increased by seven

a)

4 + 7x

b)

4x - 7

c)

4x + 7

d)

4 - 7x

18.

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

19.

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

20.

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

21.

Which expression matches: the product of nine and a number

a)

9 + x

b)

9x

c)

9 ÷ x

d)

9 - x

22.

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

23.

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

24.
Evaluate 24 - 4t for t = 4
a)
20
b)
24
c)
8
d)
6
25.
Write a expression for the phrase "18 times the number m"
a)
18 + m
b)
18 - m
c)
18m
d)
18 ÷ m
26.
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
27.
Evaluate 2a + 4b 
if a = 10     and    b = 6
a)
20
b)
24
c)
44
d)
4
28.
An expression does not have an equal sign
a)
TRUE
b)
FALSE
29.
Evaluate 5m when m=8
a)
58
b)
13
c)
85
d)
40
30.
Evaluate 8 + g when g=28
a)
36
b)
288
c)
20
d)
828
31.
Write an algebraic expression for:
6 minus a number
a)
n - 6
b)
6 - n
c)
6n
d)
6 + n
32.
Write an algebraic expression for:
the product of 5 and a number
a)
5 + n
b)
n + 5
c)
5n
d)
5/n
33.
Write an algebraic expression for:
8 more than a number
a)
8 + n
b)
8n
c)
8 -n
d)
n-8
34.
12 ÷ 3 x 4
What do you do first?
a)
3x4
b)
12÷4
c)
12÷3
35.
What would you solve first?
3 x 48 ÷ (15 - 3)
a)
3 x 48
b)
48 / 15
c)
15 - 3 
d)
48-12
36.
(3+4) x (3+5)
a)
50
b)
54
c)
56
d)
48
37.

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

a)

function

b)

formula

c)

expression

d)

equation

38.

Which is NOT an expression

a)

2x+5=4x+13

b)

5x-3y

c)

2x+y-z

d)

x-4

39.

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

a)

3 x n + 4

b)

3 + n + 4

c)

3n + 4

40.

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

a)

10

b)

2

c)

30

d)

4

41.

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

42.

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

a)

x - 7

b)

7 - x

c)

7x

d)

x/7

43.

Which is an algebraic expression for the following situation?

a)

(y + z) ÷ 9

b)

9 (y + z)

c)

(9 + z) ÷ y

d)

z

44.

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

a)

12

b)

10

c)

8

d)

-12

45.
Any letter can be used to represent a variable.
a)
True
b)
False
46.

In 8r - 3 , the VARIABLE is ___

a)

8

b)

r

c)

-

d)

3

47.

work out this expression

p + 5 when p = -3

a)

2

b)

-2

c)

-4

48.

work out this expression

j/4 when j = - 20

a)

-5

b)

5

c)

-10

49.

work out this expression

q - 6 when q = 4

a)

-3

b)

-2

c)

-4

50.

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

a)

25

b)

23

c)

24