Algebraic Expressions - Class 7 Maths Free MCQ Test with solutions

Coefficient of a variable is the integral number(or the expression) written next to a given variable. For x, the coefficient is y².

Like terms must have the same variables with the same powers.

• a) −p²q² and 12q²p² → same variables and powers → like terms
• b) −4yx² and −4xy² → powers of x and y are different → unlike terms
• c) 41 and 100 → both constants → like terms
• d) qp² and 13p²q → same variables and powers → like terms

So, the pair of unlike terms is option b.

• “Three times x” means multiplying x by 3, giving 3x.
• “Sum of 3x and 11” means you add them, so it becomes 3x + 11.
• Option 2 shows 3x + 11, exactly matching the statement.
• Options 1 and 3 use subtraction; they don’t represent “sum,” so they’re incorrect.

Raju's age is x. Since the father’s age is 3 times Raju's age and 5 more, so three times Raju's age is 3x and 5 more, which means 3x+5.

Put value of x in the given expression:  (0)² - 5 x (0) + k = 5
                                                                       k = 5

Number of terms means the total number of individual elements present in a statement.

We have 4p²q, 3pq² and 5 separated by a plus or minus sign, so these three are our terms.

Sum of numbers is (a+b) , its product is (ab)
We have to subtract sum from product , so its ab-(a+b)

First simplify the expression: mn + 5 − 2
we get, 
mn + 3

Now add both expressions:
(mn + 3) + (mn + 3)
Combining like terms
(mn + mn) + (3 + 3)
2mn + 6

So, the correct answer is 2mn + 6

The algebraic identity (a+b)² expands to:

• a² + 2ab + b²

This means that when you square the sum of a and b, you get the square of a, plus twice the product of a and b, plus the square of b.