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Worksheets

Writing and Evaluating Algebraic Expressions

Total questions: 15

Worksheet time: 4hrs 45mins

Name
Class
Date
1.

Translate this phrase into an algebraic expression.

8 less than the product of 4 and m

a)
8 - 4m
b)
8m - 4
c)
8m + 4
d)
4m - 8
2.

Evaluate the expression when x =1.9
x2  + 2x

a)

7.41

b)

7.6

c)

3.61

d)

3.8

3.
Which of the expressions does NOT show the product of four and n. 
a)
4n
b)
4 x n
c)
4(n)
d)
4 ÷ n
4.
2x + 5(y - 1) when x=8 and y=5
a)
20
b)
31
c)
36
d)
-4
5.

How many terms are in the following expression?
2x+4y+8÷22x+4y+8\div2

a)
1
b)
2
c)
3
d)
4
6.

Identify the variables in the expression: 3x + 4y - 7

a)

x and y

b)

3 and -7

c)

x and 7

d)

3 and 4

7.

Evaluate

14(12 x +4)\frac{1}{4}\left(12\ x\ +4\right)  if x = 3

a)

194\frac{19}{4}  

b)

10

c)

13

d)

21

8.

What is the coefficient in the following expression: 5 + 4m

a)

5

b)

4

c)

m

d)

4m

9.

Which of the following is the constant in the expression 15p + 12

a)

15

b)

p

c)

12

d)

15p

10.

Write an algebraic expression for 9 less than the quotient of n and 5

a)

9−(5n)9-\left(\frac{5}{n}\right)

b)

n5−9\frac{n}{5}-9

c)

9−n×59-n\times5

d)

5n−95n-9

11.
A large cheese pizza costs $18. Each topping you add on costs $1.50. How much would it cost to get a large cheese pizza with c toppings added?
Write your answer as an expression.
a)
c + 18
b)
18 + 1.50 
c)
18 + 1.50c
d)
1.50c - 18
12.

Write the expression: 9 less than k

a)

k-9

b)

9-k

c)

k/9

d)

9/k

13.

Evaluate 5 13÷m5\ \frac{1}{3}\div m when m=45m=\frac{4}{5}

a)

812\frac{8}{12}

b)

6 156\ \frac{1}{5}

c)

6 236\ \frac{2}{3}

d)

4 4154\ \frac{4}{15}

14.

What is the value of m2÷(2r)+3nm^2\div\left(2r\right)+3n when m=10, n=9, and r=2m=10,\ n=9,\ and\ r=2

a)

100

b)

32

c)

127

d)

52

15.

John bought apples for $0.95 per pound and pears for $1.20 per pound at the grocery store. Use the expression $0.95a + $1.20p to find the amount John paid if he bought 2.2 pounds of apples and 1.4 pounds of pears.

a)

$1.14

b)

$3.77

c)

$2.15

d)

$3.97