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Worksheets

Algebraic Expressions and Fractions

Total questions: 20

Worksheet time: 39mins

Name
Class
Date
1.

Twice the product of g and z is represented by which expression?

a)

2gz

b)

gz + 2

c)

2g ÷\div z

d)

g ÷\div z

2.

The expression below represents Ms. Hibbler's age in terms of h. Ms. Sterling's age is 2h - 15. Which of the following is true?

a)

Ms. Hibbler is 15 less than 2 times Ms. Sterling's age.

b)

Ms. Hibbler's age is 2 less than 15 times Ms. Sterling's age.

c)

Ms. Sterling's age is 15 less than 2 times Ms. Hibbler's age

d)

Ms. Sterling's age is 2 less than 15 times Ms. Hibbler's age.

3.

What is the value of the expression 0.05x + 0.30y + 0.50z when x = 2, y = 3 and z = 4

a)

0.859

b)

3

c)

12

d)

3.9

4.

What is the value of the expression when x = 6 and y = -3

 12\frac{1}{2}  x  - y

a)

0

b)

6

c)

9

d)

1.5

5.

Evaluate a + 3b when a = -4 and b= -5

a)

-19

b)

19

c)

-11

d)

11

6.

Which can be represented by the expression 21 - 2c

a)

21 less than twice a number

b)

21 less than a number squared

c)

the difference of 21 and twice a number

d)

21 less than a number squared

7.

What is equivilent to 3b -15 +3b + 6 + 2b22b^2 

a)

8b + 15

b)

 2b22b^2  + 21

c)

 2b22b^2  + 6b + 21

d)

 2b22b^2  + 6b - 9

8.

Simplify 6(a-2b) + 3(4a + b)

a)

18a - 15b

b)

18a - 11b

c)

18a - 9b

d)

18a - b

9.
2n4 /6n4
a)
1/3n
b)
3
c)
3n
d)
1/3
10.
a)
4/x
b)
x/4
c)
1/4x
d)
4x
11.
Simplify:
a)
4(x+5)/3(x+5)
b)
4/3
c)
3/4
d)
x+5
12.
Simplify:
a)
x(x-5)/(x+5)(x-5)
b)
x/(x-5)
c)
x/(x+5)
d)
(x+5)/x
13.
Simplify:
a)
1/x2
b)
x
c)
1/x
d)
x2
14.
Simplify the algebraic fraction.
a)
-3/b
b)
-b/3
c)
3b
d)
-3b
15.
Simplify the algebraic fraction.
a)
2pq
b)
2/pq
c)
pq/2
d)
p/2q
16.
a)

6/5x

b)

6/5

c)

(x+3)/(x+2)

d)

(x+3)/(x-4)

17.
(x - 8) ( x - 8) = ______
a)
x2 - 64
b)
x2 + 64
c)
x2 - 16x + 64
d)
x2 + 16x + 64
18.
The square of x2 - 2y2 is ______
a)
x4 - 4x2y2 + 4y4
b)
x4 + 4x2y2 + 4y4
c)
x4 - 4x2y2 - 4y4
d)
None of the above
19.

Expand (y+1)(y-2).

a)

y2-2y-2

b)

y2-y-2

c)

y2+y-2

d)

y2+2y-2

20.

Factorise b2 - 81.

a)

(b-8)(b+8)

b)

(b-9)(b+9)

c)

(b-9)(b-9)

d)

(b-8)(b-8)