# Free Algebraic Expressions 02 Practice Test - 7th grade

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

A.

(p + q)pq

B.

pq + (p - q)

C.

pq + p + q

D.

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).

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

A.

4, p, q, r

B.

4pq, p, q, r

C.

4pq, p, -q, -r

D.

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.

Choose the correct option which indicates all the like terms in the following expression.
3x+5x+7y+9x4y

A.

(4y, 7y)

B.

(7y,4y),(3x,5x)

C.

(7y,4y),(3x,5x,9x)

D.

(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.

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

A.

2xy

B.

3x + pq - pq

C.

5

D.

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 terms

So, according to the given question, 3x+ pq - pq = 3x,   is a monomial in one variable.

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

A.

n+3

B.

n+5

C.

n(n-1)

D.

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.

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

A.

15

B.

16

C.

54

D.

20

#### SOLUTION

Solution : A

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

(32)(32+(3×2))

(32)(9+6)

(1)(15)=15

The value of the expression is 15.

The coefficient of term x5 in the expression x3x5 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 x3x5 is -1,
x5 = 1×(x5)
The coefficient of x5 is equal to -1.

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

A.

xy

B.

x + xy

C.

y + xy

D.

2 (xy)

#### SOLUTION

Solution : A

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

1x; x0
is an algebraic expression.

A.

True

B.

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.

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

A.

True

B.

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