Test: Algebraic Expressions - Class 7 MCQ

Coefficient of x is the constant with x which is -1 in this case.

Topic in NCERT: Coefficients

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

Topic in NCERT: Coefficients

The correct option is B −4yx²,−4xy²

• −p²q²,12q²p²: terms contain same variables with equal exponents, so these are like terms.
• −4yx²,−4xy²: As in −4yx², x has exponent 2 & y has exponent 1 and in −4xy² , y has exponent 2 & x has exponent 1. So both the terms have same variables but with different exponent. Hence −4yx²,−4xy² are unlike terms.
• 41, 100: terms do not contain any variable, so these are like terms.
• qp²,13p²q: terms have same variables p and q with equal exponent 2 and 1 respectively. So, these are like terms.

Three times of x is 3 multiplied by x which is 3x . sum of 3x and 11 is 3x plus 11 which is 3x + 11

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 and we have to subtract sum from product , so its ab-(a+b)

When we combine mathematical terms, we perform operations on the like terms only.

Hence, 

mn + 5 – 2 + mn + 3

= (mn + mn) + (5 - 2 + 3)

= 2mn + 6.

The algebraic identity (a+b)² = a²+2ab+b²