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Algebraic expressions

Total questions: 20

Worksheet time: 32mins

Name
Class
Date
1.
Evaluate the expression using the values
 m = 7, r = 8, and t = 2.
4m + t
a)
30
b)
28
c)
26
d)
14
2.

A cell phone company charges Rs.40 per month(m) plus a Rs.35 activation fee. How much would the service cost for the first 2 months(m)?

Hint:

40m+35

a)

Rs.110

b)

Rs.75

c)

Rs.115

d)

Rs.80

3.
Solve using distributive property. 
3(x-6)
a)
3x+18
b)
3x-6
c)
3x+6
d)
3x-18
4.
Simplify the Expression: 10x - 3(2x + 8)
a)
4x - 24
b)
-4x + 24
c)
16x - 24
d)
14x - 6
5.
Add to Simplify:
 (4x - 2x3) + (5x3 - 4x + 5)
a)
3x3 + 5
b)
3x3 + 8x + 5
c)
3x2 + 5
d)
7x3 + 8x + 5
6.
Find the sum. 
(3 - 2x + 2x2) + (4x - 5 + 3x2)
a)
7x - 7x + 5x2
b)
5x2 + 2x - 2
c)
5x2
d)
5x2 + 6x + 8
7.
Evaluate:
x - y - x2 + (y2 + x)
when x = -3 and y = -2
a)
-9
b)
9
c)
-3
d)
-13
8.

What will be the area of a rectangle if its length is 4a2b and breadth 3ab?

a)

12a2b

b)

12a3b

c)

7a3b

d)

12a3b2

9.
Subtract:  -6x2y from -10x2y
a)
4x2y
b)
-4x2y
c)
16x2y
d)
-16x2y
10.
The degree of a constant polynomial is 
a)
1
b)
2
c)
3
d)
0
11.
The degree of the polynomial:  4x2y + x2 - 2y2 is ______
a)
2
b)
3
c)
4
d)
-2
12.
(x2 - y2) × (x2 + y2) = ______
a)
2x2 + 2y2
b)
x4 - y4
c)
x4 + y4
d)
2x4
13.
The volume of a box whose dimensions are: 2p, 6q and 3r is given by_____
a)
36 pqr
b)
2p + 6q + 3r
c)
2(2p+6q+3r)
d)
24 pqr
14.
(x - 8) ( x - 8) = ______
a)
x2 - 64
b)
x2 + 64
c)
x2 - 16x + 64
d)
x2 + 16x + 64
15.
The square of x2 - 2y2 is ______
a)
x4 - 4x2y2 + 4y4
b)
x4 + 4x2y2 + 4y4
c)
x4 - 4x2y2 - 4y4
d)
None of the above
16.
If a + b = 5 and ab = 6, find a2 + b2.
a)
13
b)
12
c)
10
d)
11
17.
What kind of expression is xyz?
a)
Monomial
b)
Binomial
c)
Trinomial
d)
None of the above
18.
What are the like terms in this expression?  a + 2 + 3b + 4 + 5ab
a)
2, 4
b)
a, 3b, 5ab
c)
a, 2, 3b, 4, 5ab
d)
a, b, ab
19.
What are the coefficients in this expression? m - 2n - 3p + 4r + 5s
a)
There are none
b)
m, -2n, - 3p, 4r, 5s
c)
1, -2, -3, 4, 5
d)
-2, -3, 4, 5
20.
Which of the following expressions would need parenthesis?
a)
4 times the difference of a number and 8
b)
4 times a number
c)
Five times a number increased by 7
d)
15 less than a number multiplied by 12