Class 8 Exam > Class 8 Notes > Mathematics (Maths) Class 8 > Worksheet: Algebraic Expressions & Identities
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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