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Algebraic Expressions

Total questions: 20

Worksheet time: 10mins

Name
Class
Date
1.

An algebraic expression is a combination of:-

a)

variables

b)

constants

c)

one or more than one operation

d)

all of these

2.

Expressions are made up of ________ .

a)

Terms

b)

Factors

c)

none of these

3.

A term is a __________ of factors.

a)

sum

b)

difference

c)

product

d)

quotient

4.

Choose the constant term in this expression.

 2x2y +2xy2 + 2xy + 22x^2y\ +2xy^2\ +\ 2xy\ +\ 2  

a)

 2x2y2x^2y  

b)

 2xy2 2xy^2\   

c)

 2xy 2xy\   

d)

  2\ 2  

5.

How many terms are there in this expression.

 ab + a2b + 3ab + 5ab\ +\ a^2b\ +\ 3ab\ +\ 5  

a)

1

b)

2

c)

3

d)

4

6.

Choose the correct terms for the following expression.

 xyz + x2yz + xy2zxyz\ +\ x^2yz\ +\ xy^2z  

a)

 xyz ,  x2yz , xyz2xyz\ ,\ \ x^2yz\ ,\ xyz^2  

b)

 xyz , xyz2 , xy2zxyz\ ,\ xyz^2\ ,\ xy^2z  

c)

 x2yz2 , x2yz , xy2zx^2yz^2\ ,\ x^2yz\ ,\ xy^2z  

d)

 xyz , x2yz , xy2zxyz\ ,\ x^2yz\ ,\ xy^2z  

7.

Choose the correct factors for the second term of the following expression.

 abcd   a2b + 20abcd\ \ -\ a^2b\ +\ 20  

a)

 a, b, c, da,\ b,\ c,\ d  

b)

  1, a, a, b-1,\ a,\ a,\ b  

c)

 a, a, b-a,\ a,\ -b  

d)

 20 20\   

8.

Choose the numerical coefficient in the following expression.

 2ab + 5-2ab\ +\ 5  

a)

-2

b)

5

c)

both -2 & 5

d)

none of these

9.

Choose the coefficient of  x2x^2  in the following expression.

  5xy2  5x2y 5\ -5xy^2\ \ -5x^2y\ -5  

a)

 55  

b)

 5-5  

c)

 5x-5x  

d)

 5y-5y  

10.

 2x + 3y5\frac{-2x\ +\ 3y}{5}  

Identify the type of this polynomial.

a)

monomial

b)

binomial

c)

trinomial

11.

Choose the expression which represents TRINOMIAL.

a)

a + b 3c +3c-a\ +\ b\ \ -\ 3c\ +3c

b)

a + b +2a b-a\ +\ b\ +2a\ -b

c)

a + b + 3c 5b-a\ +\ b\ +\ 3c\ -5b

12.

Choose two pairs of terms that does not represents LIKE TERMS.

a)

21 , -21

b)

ab , 7ba

c)

 c2d  ,  cd2c^2d\ \ ,\ \ cd^2  

d)

 z3xy , xy3zz^3xy\ ,\ xy^3z  

13.

 5abc ; 4abc ; 3bca ; 2cba-5abc\ ;\ 4abc\ ;\ 3bca\ ;\ -2cba  

Add the following terms.

a)

abc

b)

7cba

c)

7bca

d)

0

14.

Subtract -13xy from 6xy.

a)

19xy

b)

-7xy

c)

7xy

d)

-19xy

15.

 x2 3x  5x^2\ -3x\ -\ 5 

Find the value of this expression when   x = -2

a)

4

b)

5

c)

6

d)

10

16.

 12m2  9m + 5m  4m2  7m + 1012m^2\ -\ 9m\ +\ 5m\ -\ 4m^2\ -\ 7m\ +\ 10  

Combine the like terms of the following expression and then simplfy.

a)

 8m2   11m + 108m^2\ \ -\ 11m\ +\ 10  

b)

 8m2   4m + 108m^2\ \ -\ 4m\ +\ 10  

c)

 8m2   16m + 108m^2\ \ -\ 16m\ +\ 10  

d)

 8m2   2m + 108m^2\ \ -\ 2m\ +\ 10  

17.

We can add and subtract only _____ terms.

a)

Like Terms

b)

Unlike Terms

c)

Both

18.

Find the nth term for the following number pattern.


11, 22, 33, 44, 55...........

a)

10n + 1

b)

10n

c)

10n - 1

d)

11n

19.

Find the 50th term for the following expression.
 3n + 13n\ +\ 1  

a)

51

b)

151

c)

251

d)

351

20.

 5n  15n\ -\ 1  

Find the 100th term for the following expression.

a)

500

b)

501

c)

499

d)

599