Algebraic Expressions for Class 6 Worksheets

Let us solve these Algebraic Expressions for Class 6 Worksheets.

Algebraic Expressions for Class 6 Worksheet 1 with Answers

1. If the present age of Renu is x years, find her age

a. 6 years back

b. 8 years from now

2. State true or false for each of the following:

a. The expression for 4 times x added to 9 times y is 4x + 9y.

b. If x = 2 and y = 3, then the value of 2x + 3y – 13 is equal to zero.

c. 3m² + 5n² + 2mn is not a polynomial.

d. Coefficient of x in 5xy² is 5y²z.

3. Find the degree of the following terms:

a. 6x³y²

b. –5x⁵y³z²

4. Choose the correct answer for each of the following:

a. Coefficient of y in –3xyz is

i. –3

ii. –3x

iii. –3z

iv. –3xz

b. Among the terms 3x²y, 3xy, 5xy², 7x²y 8x³y, 9x²y², number of like terms are

i. 2

ii. 3

iii. 4

iv. none of these

c. 15 is a constant and x² is a variable, then 15x² is a

i. constant

ii. trinomial

iii. binomial

iv. monomial

d. ‘18 more than thrice of x is equal to 45’ written in algebraic form is

i. 3x + 18 = 45

ii. 3 + x + 18 = 45

iii. x + 3 × 18 = 45

iv. 3 × 18x = 45

5. Nisha has 7 chocolates more than Riya and Kiya has thrice as many chocolates as Riya. How many chocolates are there in total?

6. Fill in the blanks.

a. Expression (5x + y + 7z + 2) has _________ terms.

b. Numerical coefficient of −3/5a²bc is _________.

c. 3x²y³ and – 7y³x² are _________ terms.

d. 5b + 3a is a _________.

7. Simplify:

a. 4x + 3a + 2a + 2x

b. 4 × 3a³ × 6a²

8. Make groups of like terms.

i. xy

ii. –5a²b

iii. 3abc

iv. p²q²

v. –7yx

vi. –3p²q²

vii. 15abc

viii. 4ba²

ix. 12xy

x. –3a²b

9. Identify the trinomial or polynomial:

a. 20 + 3xy – 4x²y + 7x²y²

b. 7a²b + 3ab³ – 2a²b⁴

c. 10a + 3ab + 4ab + 5ab²

d. 4x² + 7xy² + 9x²y²

Algebraic Expressions for Class 6 Worksheet 2 with Answers

1. Fill in the blanks in each of the following.

a. A term having no literal factor is called a ___________.

b. We can add and subtract only ___________ terms.

c. Degree of the expression xy + x²y² + x³y³ is ___________.

d. 4 + 3ab + b² is a ___________.

2. Separate the like and unlike terms from each of the following:

3xy, 5x³y², –3xy³, 5x²y³, 8xy, –2x³y², 6xy, –xy³

3. Write down the coefficient of xy in the following:

a. 5xy

b. –7xy²

c. 8abxy

d. –11px²yq

4. For each of the given expressions, state whether monomial, binomial, trinomial or polynomial.

a. 5a – 3b

b. bx² + 7x – 8

c. 2xy

d. x⁴ + 4x³y + 5x²y² – 3xy³

5. If a = 1, b = 2 and c = –2, then find the value of:

a. a + b

b. 3a² + bc

c. 2c – b + a

d. a² + b² + c²

6. Choose the correct answer for each of the following.

a. In the term 3x², 3 is a

i. constant

ii. literal

iii. variable

iv. expression

b. The expression 3xy + 4y² is a

i. monomial

ii. binomial

iii. polynomial

iv. constant

c. In the expression 5x – 7y + 2, the number of terms are

i. 1

ii. 2

iii. 3

iv. 5

d. The degree of the polynomial 5x² – 7xy + 8y⁴is

i. 1

ii. 2

iii. 3

iv. 4

7. Write T for true or F for false:

a. 5x⁵ × 4x⁴ = 20x¹⁰

b. x + x + x + x – x – x = 2x

c. 5a + 2 + 3a + 6 = 11a + 5

d. 12a – 7b + 3a = 8a

8. The charges of reserving a movie ticket is ₹10 per ticket on a website and the cost of a movie ticket is ₹250. If a family of x members book their tickets online, what is the cost? If they book tickets offline, what is the cost?

Algebraic Expressions for Class 6 Worksheet 3 with Answers

1. Classify each of the following algebraic expression as monomial, binomial, trinomial or polynomial.

a. 7x + 6y

b. 5a²b + 8ab² – 2ab

c. ax² + 2hxy + by² + 2gx + 7

2. Write down the degree of each of the following:

a. 7x²y

b. 11x⁵ + 3x⁴ – 2x³y – 4x²y²

c. 4ab + 7ab² – a⁴

d. 3a⁶ + 4a⁸ – 7a²b⁴c³

3. If a = 6, p = 4, q = 7, find the value of

a. 3ap

b. 6a + 3p² – 2q

4. Match the following to the correct options:

a. 2x²y is a i. like terms

b. 5x⁴y is of degree ii. binomial

c. 7c + 3 is iii. 5

d. 3x², 5x² and – 10x² are iv. monomial

e. Coefficient of x in –3xy³ v. 2x + 5 = 6

f. Two times x increased by 5 equals 6 vi. –3y³

5. Riya has ₹x in her account. She wants to give 2/3 of it to her son, 1/9 of it to charity and the rest to her daughter. What is the daughter’s share?

6. Fill in the blanks:

a. x + x + x + x + x = _________

b. 5a + 3a – 6a = ___________

c. x × x × x × y × y = x^— y^—

d. 5ab × 6a²b³ = ___________

7. Resolve each of the following into its factors:

a. 12x³y²

b. 15x⁵y³z²

8. State true or false for each of the following:

a. –x² + y is a monomial.

b. 5x², 3y², 2z² are three like terms.

c. 9 is the numerical coefficient of 9³bc.