# Free Algebraic Expressions 02 Practice Test - 7th grade

### Question 1

What will be the expression for the sum of numbers p and q, which is subtracted from their product ?

(p + q)pq

pq + (p - q)

pq + p + q

pq - (p + q)

#### SOLUTION

Solution :D

The sum of p and q is p + q.

The product of p and q is pq.

So, when (p+q) is subtracted from pq,

the final expression will be pq - (p + q).

### Question 2

Identify the terms of expression 4pq + p - q - r.

4, p, q, r

4pq, p, q, r

4pq, p, -q, -r

4pq, p, -q, r

#### SOLUTION

Solution :C

The terms in an expression are separated by operator + (addition). Therefore, terms of the expression 4pq + p - q - r are 4pq, p, -q, and -r.

### Question 3

Choose the correct option which indicates all the like terms in the following expression.

3x+5x+7y+9x−4y

(−4y, 7y)

(7y,−4y),(3x,5x)

(7y,−4y),(3x,5x,9x)

(3x, 5x, 7y)

#### SOLUTION

Solution :C

Terms containing the same variables raised to the same power are called as like terms.

Here, 3x, 5x and 9x are like terms.

Similarly, 7y and -4y are like terms.

### Question 4

Which of the following is/are monomial(s) in one variable?

2xy

3x + pq - pq

5

3x + y

#### SOLUTION

Solution :B

An algebraic expression which consists of only one non-zero term is called a monomial. Examples of monomials are as follows:

a) 2xy is a monomial, but it has 2 variables, 'x' and 'y'

b) 3x + pq -pq is nothing but 3x, which is a monomial, with only one variable, that is 'x'.

c) 5 is a constant

d) 3x +y is a binomial, as it has two termsSo, according to the given question, 3x+ pq - pq = 3x, is a monomial in one variable.

### Question 5

The nth term of the pattern 1,4,9,16,25...... is _____.

n+3

n+5

n(n-1)

n2

#### SOLUTION

Solution :D

The pattern in the above case is,

1=12, (1st term; n=1)

4=22, (2nd term; n=2)

9=32 (3rd term; n=3)

and so on.

Similarly, the term at nth^{ }position of the pattern will be n2.

### Question 6

Find the value of expression (a−b)(a2+ab) when a = 3 and b = 2?

15

16

54

20

#### SOLUTION

Solution :A

Substituting values of a = 3 and b = 2 in the expression:

⇒(3−2)(32+(3×2))

⇒(3−2)(9+6)

⇒(1)(15)=15The value of the expression is 15.

### Question 7

The coefficient of term x5 in the expression x3−x5 is

#### SOLUTION

Solution :Coefficient is defined as a number or symbol multiplied to a variable or an unknown quantity in an algebraic term.

The coefficient of the term x5 in expression x3−x5 is -1,

−x5 = −1×(x5)

∴ The coefficient of x5 is equal to -1.

### Question 8

What will be the algebraic expression formed when x is multiplied with y?

xy

x + xy

y + xy

2 (xy)

#### SOLUTION

Solution :A

When a variable 'x' is multiplied with another variable 'y', the algebraic expression formed is 'xy'.

### Question 9

1x; x≠0

is an algebraic expression.

True

False

#### SOLUTION

Solution :A

A single term or a combination of two or more terms joined by operators such as plus (+) or minus (-) signs forms an algebraic expression. E.g., 58 - y , 6xy + z etc.

So, 1x is an algebraic expression.

### Question 10

A monomial added to/subtracted from a monomial is always a monomial.

True

False

#### SOLUTION

Solution :B

A monomial added to/subtracted from a monomial is not always a monomial.

For example, 4x - 5y is not a monomial

4x + 5x = 9x is a monomial