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Algebraic Expressions and Identities Practice Questions

Class 8 · Mathematics · 836 free MCQs with instant results and detailed explanations.

836
Total
269
Easy
383
Medium
184
Hard

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Topics in Algebraic Expressions and Identities

Applying Identities 235
Standard Identities 287
Multiplication of Expressions 314

Sample Questions from Algebraic Expressions and Identities

Here are 10 sample questions. Start a quiz to get randomized questions with scoring.

Q1
Easy
What is the product of the expressions (2x + 3) and (x - 4)?
A. 2x^2 - 5x - 12
B. 2x^2 - 5x + 12
C. 2x^2 + 5x - 12
D. 2x^2 + 5x + 12
Show Answer & Explanation
Correct Answer: A
To find the product, we use the distributive property (FOIL method). Multiplying each term in the first bracket with each term in the second gives us 2x*x, 2x*(-4), 3*x, and 3*(-4). This simplifies to 2x^2 - 8x + 3x - 12, which combines to give 2x^2 - 5x - 12.
Q2
Easy
What is the product of (x + 4) and (x + 2)?
A. x² + 6x + 8
B. x² + 8
C. x² + 4x + 2
D. x² + 8x
Show Answer & Explanation
Correct Answer: A
The product is found by multiplying each term in the first expression with each term in the second expression: x*x + x*2 + 4*x + 4*2 = x² + 2x + 4x + 8 = x² + 6x + 8.
Q3
Easy
What is the result of multiplying (2x)(3y)?
A. 6xy
B. 5xy
C. 6x^2y^2
D. 5x^2y
Show Answer & Explanation
Correct Answer: A
Multiply the coefficients and the variables together: 2 * 3 = 6 and x*y = xy, giving 6xy.
Q4
Medium
What is the product of (2x + 3)(x + 5)?
A. 2x² + 10x + 3x + 15
B. 2x² + 15x + 3x + 5
C. 2x² + 5x + 15
D. 2x² + 8x + 15
Show Answer & Explanation
Correct Answer: A
To multiply the expressions, apply the distributive property (FOIL). You'll get 2x² + 10x + 3x + 15.
Q5
Medium
If a = 2 and b = 3, what is the value of (a + b)(a - b)?
A. 1
B. 5
C. 6
D. 10
Show Answer & Explanation
Correct Answer: B
Substituting a = 2 and b = 3 gives (2 + 3)(2 - 3) = 5 * -1 = -5.
Q6
Medium
Which of the following is equivalent to (x + 2)(x + 3)?
A. x² + 5x + 6
B. x² + 6x + 5
C. x² + 4x + 6
D. x² + 3x + 2
Show Answer & Explanation
Correct Answer: A
Using the distributive property, we have x² + 3x + 2x + 6 = x² + 5x + 6.
Q7
Medium
What is the result of 4(a + 3) - 2(a + 1)?
A. 2a + 10
B. 2a + 8
C. 6a + 10
D. 2a + 12
Show Answer & Explanation
Correct Answer: B
Distributing gives 4a + 12 - 2a - 2, simplifying to 2a + 10.
Q8
Hard
Which of the following expressions is equivalent to (x + 3)(x - 2)?
A. x^2 + x - 6
B. x^2 + x + 6
C. x^2 - 6
D. x^2 + x - 9
Show Answer & Explanation
Correct Answer: A
By applying the distributive property (FOIL method), we have x^2 - 2x + 3x - 6 = x^2 + x - 6.
Q9
Hard
What is the product of (2x - 5) and (3x + 4)?
A. 6x^2 - 15x + 8
B. 6x^2 + 7x - 20
C. 6x^2 - 7x - 20
D. 6x^2 - 7x + 20
Show Answer & Explanation
Correct Answer: C
Using the distributive property, we derive 6x^2 - 15x + 8, after combining like terms, we get 6x^2 - 7x - 20.
Q10
Hard
What is the result of multiplying (x + 5)(x + 7)?
A. x^2 + 12x + 35
B. x^2 + 11x + 35
C. x^2 + 10x + 45
D. x^2 + 12x + 40
Show Answer & Explanation
Correct Answer: A
Using the distributive property, we combine terms and simplify to get x^2 + 12x + 35.

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Algebraic Expressions and Identities — Class 8 Mathematics Practice Questions Online

This page contains 836 practice MCQs for the chapter Algebraic Expressions and Identities in Class 8 Mathematics. The questions are organized by difficulty — 269 easy, 383 medium, 184 hard — so you can choose the right level for your preparation.

Every question includes a detailed explanation to help you understand the concept, not just memorize answers. Take a timed quiz to simulate exam conditions, or practice at your own pace with no time limit. This chapter covers 3 topics, giving you comprehensive coverage of the entire chapter.