# Class 7 Maths Chapter 12 Algebraic Expressions Practice Problems And Solutions

Answer the following:

1. Identify the terms and their factors in the following expressions

a) 3x – 4

b) a+ 2b + 4

c) 3x – 5y

2. Identify the terms which are not constants. Give their numerical coefficients.

a) -2x + 7

b) 5 + 2ab

c) 2xy + x + 4

3. Identify the constant terms in the following expressions.

a) 5 + x+ xz

b) 2yz – 3z – 9

c) 2 + x + 2y

4. Identify the pairs of like and unlike terms:

a) 500, -65

b) 2xy, 2z

c) –x, 7x

d) 2xy, y

5. Simplify by combining like terms:

a) x – (x – y)-x – (y – x)

b) 2mn – 5mn+ 3mn – 4mn + mn

**ANSWERS:**

1. a) 3x – 4

Terms are 3x and -4

Factors are 3, x and -4.

b) a + 2b + 4

Terms are a, 2b and 4.

Factors are a, 2, b and 4.

c) 3x – 5y

Terms are 3x and -5y

Factors are 3,x,-5 and y.

2. a) -2x + 7

Terms which are not constants: -2x

Numerical coefficient is -2.

b) 5 + 2ab

Terms which are not constants: 2ab

Numerical coefficient is 2.

c) 2xy + x + 4

Terms which are not constants: 2xy and x

Numerical coefficients are 2 and 1.

3. a) 5 + x + xz

Constant term is 5.

b) 2yz -3z – 9

Constant term is -9.

c) 2 + x + 2y

Constant term is 2.

4. a) 500 and -65 are like terms.

b) 2xy and 2z are unlike terms.

c) –x and 7x are like terms.

d) 2xy and y are unlike terms.

5. a) x – (x-y) – x – (y-x) = x – x + y – x – y + x = 0

b) 2mn – 5mn + 3mn – 4mn + mn = 6mn – 9mn = -3mn