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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: Find the value of Class 8 Maths - Algebraic Expressions and Identities CBSE Worksheets

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: Find 194×206 using suitable identity

Q9: If Class 8 Maths - Algebraic Expressions and Identities CBSE Worksheetsfind the value of Class 8 Maths - Algebraic Expressions and Identities CBSE Worksheets

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

Q11: Find (3st+4t)2−(3st−4t)2

Q12: The area of a rectangle is uv where u is length and v is breadth. If the length of rectangle is increased by 5 units and breadth is decreased by 3 units. The new area of rectangle is?

Q13: If Class 8 Maths - Algebraic Expressions and Identities CBSE Worksheets=27, find Class 8 Maths - Algebraic Expressions and Identities CBSE Worksheets

Q14: Simplify using identity, Class 8 Maths - Algebraic Expressions and Identities CBSE Worksheets

Q15: The sum of (x + 3) observations is (x4−81). Find the mean of the observations.

You can access the solutions to this worksheet here.

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 combinations of numbers, variables, and operations (like addition and multiplication). Unlike numerical expressions, which only contain numbers and operations, algebraic expressions include at least one variable (like x or y). For example, 3x + 5 is an algebraic expression, while 3 + 5 is a numerical expression.
2. What is the importance of algebraic identities in solving equations?
Ans.Algebraic identities are equations that are true for all values of the variable. They help simplify complex algebraic expressions and make it easier to solve equations. For instance, using the identity (a + b)² = a² + 2ab + b² can simplify the process of expanding or factoring expressions.
3. How do you simplify an algebraic expression?
Ans.To simplify an algebraic expression, you combine like terms (terms that have the same variable raised to the same power) and perform any operations indicated. For example, to simplify 2x + 3x + 4, you would combine 2x and 3x to get 5x, resulting in the simplified expression 5x + 4.
4. Can you explain the concept of like and unlike terms in algebraic expressions?
Ans.Like terms are terms that have the same variable raised to the same power, such as 2x and 3x. Unlike terms have different variables or powers, such as 2x and 3y. Only like terms can be combined through addition or subtraction.
5. What are some common algebraic identities that students should memorize?
Ans.Some common algebraic identities include: 1. (a + b)² = a² + 2ab + b² 2. (a - b)² = a² - 2ab + b² 3. a² - b² = (a + b)(a - b) Memorizing these identities can help in simplifying expressions and solving problems more efficiently.
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