Algebra Practice Questions

Class 6 · Mathematics · 531 free MCQs with instant results and detailed explanations.

531
Total
215
Easy
258
Medium
58
Hard

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Topics in Algebra

Introduction to Variables 223
Equations 115
Expressions 193

Sample Questions from Algebra

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

Q1
Easy
If y = 3, what is the value of 2y + 4?
A. 10
B. 5
C. 7
D. 8
Show Answer & Explanation
Correct Answer: A
Substituting y with 3 gives 2(3) + 4 = 6 + 4 = 10.
Q2
Easy
Which of the following represents a variable?
A. 5
B. x
C. 7 + 3
D. 12
Show Answer & Explanation
Correct Answer: B
A variable is a symbol that represents an unknown value, such as 'x'.
Q3
Easy
What is the expression for '3 times a number n'?
A. 3n
B. n3
C. n+3
D. 3+n
Show Answer & Explanation
Correct Answer: A
The expression '3 times a number n' is written as 3n, meaning 3 multiplied by n.
Q4
Medium
What does the variable 'x' represent in the expression 2x + 3?
A. A constant value
B. An unknown value
C. Always zero
D. The number 2
Show Answer & Explanation
Correct Answer: B
'x' represents an unknown value that can change, which is the essence of a variable.
Q5
Medium
Which of the following represents a variable expression?
A. 4 + 3
B. 7 - 2
C. x + 10
D. 5 × 3
Show Answer & Explanation
Correct Answer: C
A variable expression contains a variable (like 'x') along with numbers and operations.
Q6
Medium
Which statement about variables is TRUE?
A. Variables cannot change.
B. Variables can represent only positive numbers.
C. Variables can represent numbers of any kind.
D. Variables are always letters.
Show Answer & Explanation
Correct Answer: C
Variables can represent any real number, not limited to positives or letters.
Q7
Medium
The expression 4x + 3y represents how many terms?
A. 1
B. 2
C. 3
D. 4
Show Answer & Explanation
Correct Answer: B
There are two distinct terms: 4x and 3y in the expression.
Q8
Hard
If x represents the number of apples and y represents the number of oranges, what does the expression 3x + 2y represent?
A. The total number of apples and oranges combined
B. The number of apples multiplied by 3 and oranges by 2 added together
C. The average number of apples and oranges
D. The difference between the number of apples and oranges
Show Answer & Explanation
Correct Answer: B
The expression 3x + 2y indicates that you are taking three times the number of apples and adding it to two times the number of oranges.
Q9
Hard
Which of the following expressions is equivalent to the expression 4(x + 2)?
A. 4x + 8
B. 4x + 2
C. x + 8
D. 2x + 4
Show Answer & Explanation
Correct Answer: A
Distributing 4 to both x and 2 gives you 4x + 8, which matches option A.
Q10
Hard
If a bag contains 'n' red balls and 'n + 3' blue balls, which of the following expressions represents the total number of balls in the bag?
A. 2n + 3
B. n + n + 3
C. n + 3
D. n + (n + 3)
Show Answer & Explanation
Correct Answer: D
The total number of balls is the sum of red and blue balls, expressed as n + (n + 3).

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Algebra — Class 6 Mathematics Practice Questions Online

This page contains 531 practice MCQs for the chapter Algebra in Class 6 Mathematics. The questions are organized by difficulty — 215 easy, 258 medium, 58 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.