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Class 8 Maths - Algebraic Expressions and Identities CBSE Worksheets

Fill in the blanks

Q1: Terms with same algebraic factors are called ____________ terms.

Q2: A ________________ can take any value and ________________ has a fixed value.

Q3:An expression with one or more terms is called _____________

Q4:An expression with one term is called __________________ with two terms is ______________ and with three terms is _______________

Q5: An algebraic expression with equality sign is called ______________

State True or False

Q1: The degree of a constant term is 0.

Q2:The sum or difference of two like terms may not like the given terms.

Q3:1 is an algebriac expression.

Q4: The expression x + y + 5 x is a trinomial.

Q5:In like terms, the numerical coefficients should also be the same.

Answer the following questions

Q1: The volume of a rectangular box where length, breadth, and height are 2a,4b,8c respectively.

Q2:Simplify (p+q2)(p2−q)

Q3: If pq=3 and p+q=6, then (p2+q2) is

Q4:Simplify x(2x−1)+5 and find its value at x=−3

Q5: Simplify the expression and evaluate them as directed:  2x(x + 5) - 3(x - 4) + 7 forx = 2

Q6:Think of a number x. Multiply it by 3 and add 5 to the product and subtract y subsequently. Find the resulting number.

Q7: From the sum of 3a−b+9 and −b−9, subtract 3a−b−9

Q8: Simplify the expression and evaluate them as directed:4y(3y - 2) + 5(y + 3) - 12fory = -1

Q9:Add 4x(2x + 3) and 5x2 - 7x + 10.

Q10: Simplify (x2−3x+2)(5x−2)−(3x2+4x−5)(2x−1)

You can access the solutions to this worksheethere.

The document Class 8 Maths - Algebraic Expressions and Identities CBSE Worksheets is a part of the Class 8 Course Mathematics (Maths) Class 8.
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FAQs on Class 8 Maths - Algebraic Expressions and Identities CBSE Worksheets

1. What are algebraic expressions and how are they different from numerical expressions?
Ans.Algebraic expressions are mathematical phrases that can include numbers, variables (like x or y), and operation symbols (such as +, -, ×, ÷). The key difference between algebraic expressions and numerical expressions is that algebraic expressions contain variables, which represent unknown values, while numerical expressions consist only of numbers and operations.
2. How do you simplify an algebraic expression?
Ans.To simplify an algebraic expression, combine like terms (terms that have the same variable raised to the same power) and perform any arithmetic operations. For example, in the expression 3x + 2x - 5, you would combine the like terms 3x and 2x to get 5x, resulting in the simplified expression 5x - 5.
3. What are some common algebraic identities that are useful for solving equations?
Ans.Common algebraic identities include the square of a binomial (a + b)² = a² + 2ab + b² and the difference of squares a² - b² = (a + b)(a - b). These identities help in expanding and factoring expressions, making it easier to solve equations.
4. How can I factor a quadratic expression?
Ans.To factor a quadratic expression of the form ax² + bx + c, look for two numbers that multiply to ac (the product of a and c) and add to b (the coefficient of x). Rewrite the expression using these numbers to break it into two binomials. For example, for x² + 5x + 6, the numbers 2 and 3 work, so it factors to (x + 2)(x + 3).
5. Why is it important to learn about algebraic expressions and identities in Grade 8?
Ans.Learning about algebraic expressions and identities in Grade 8 is important because they form the foundation for higher-level mathematics. Understanding these concepts helps students develop problem-solving and critical-thinking skills, which are essential for success in algebra, geometry, and other advanced math courses in high school and beyond.
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