7th Grade > Mathematics
ALGEBRAIC EXPRESSIONS MCQs
:
B
Simplify the expression:2a−2b−10+4a+b
=(2a+4a)+(−2b+b)−10=6a−b−10
Substituting a=5 and b=1 in the above expression,
6a−b−10
=(6×5)−1−10
=30−11
=19
:
C
A trinomial is defined as a polynomial which contains three unlike terms. The expression 5ab3 + 22abc + 10bc has three unlike terms and hence, it is a trinomial.
:
A
An algebraic expression is a mathematical phrase that contains numbers, variables (represented by lower case letters of the English alphabet) and operators (such as addition, subtraction, multiplication and division).
Here are some examples of algebraic expressions:
a+1, a–b, 3x, 43, etc.
Hence, 2+3x is an algebraic expression.
:
B
Given, 2x2+6a–5x+10=25
Substituting the value of x = 1 in the above equation, we get,
2(1)2+6a−5(1)+10=25
⇒ 2 + 6a - 5 + 10 = 25
⇒ 6a + 7 = 25
⇒ 6a = 25 - 7 = 18
⇒ a = 3
:
B
An algebraic expression which contains two unlike terms is called a binomial. For example, 8 + x, xy - 4 are binomials.
An algebraic expression which contains three unlike terms is called trinomial. For example, 8 + x + y, xy - 4x + y, etc.
So, the expression, 5x2 + 5x + 5, is a trinomial as this expression contains three unlike terms, which are, 5x2, 5x and 5.
Hence the given statement is false.
:
A
In order to find the sum of 2mn+11x and 22x+4mn, we need to group the like terms first (we can add only the like terms).
⇒(2mn+11x)+(22x+4mn)
=2mn+11x+22x+4mn
=(2mn+4mn)+(11x+22x)
=6mn+33x
Hence, the sum is
6mn+33x.
:
Answer: 1 Mark
Example: 1 Mark
The product of a monomial and a binomial expression is a binomial.
E.g. a(a2−b2)=a3−ab2 the expression has only two terms a3 and ab2.
:
→ 6m + 10 − 10m
→ (6m - 10m) + 10
→ - 4m + 10 is the simplified form.
:
Coefficients and terms: 0.5 Mark each
Value of the expression: 1 Mark
Coefficients of x2 and x are 10 and - 5 respectively
Terms are 10x2, −5x and −6
We have to find the value of the expression at x=2 is
10×2×2−5×2−6
= 40−10−6
= 24
Hence, the value of the expression at x=2 is 24
:
Steps: 1 Mark
Answer: 1 Mark
As per the question:
We have to find out the sum of the numerical coefficients of the expression 2x2+31y−5xy
The numerical coefficient of 2x2 = 2
The numerical coefficient of 31y = 31
The numerical coefficient of −5xy = −5
Sum of the coefficients = 2 + 31 - 5 = 28
Hence, the sum of the numerical coefficients of the expression 2x2+31y−5xy is 28.