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