Class 6 Maths Basic Algebra Worksheet — Free Printable PDF
Download a free Class 6 Maths worksheet on Basic Algebra with MCQs, fill in the blanks and short answer questions. Complete answer key included. Personalized to your class, subject and chapter.
⭐ MeritMate — Class 6 Maths: Basic Algebra
Curriculum-Aware · meritmate.inSection A: Multiple Choice Questions
Q1. If x = 5, what is the value of 3x + 2?
a) 12
b) 17
c) 15
d) 10
Q2. Which of the following is an example of a variable?
a) 7
b) 3 + 4
c) n
d) 12
Q3. The expression for "5 more than twice a number y" is:
a) 2 + 5y
b) 5y + 2
c) 2y + 5
d) y + 25
Q4. If 4x = 20, then the value of x is:
a) 80
b) 16
c) 24
d) 5
Q5. Which of the following is a constant?
a) p
b) 3q
c) 9
d) x + 1
Section B: Fill in the Blanks
Q6. A symbol that can take various numerical values is called a ________.
Q7. The value of 5a - 3 when a = 4 is ________.
Q8. An equation states that two expressions are ________.
Q9. If y + 7 = 15, then y = ________.
Q10. The expression "one-third of a number m" is written as ________.
Section C: Short Answer Questions
Q11. Write an algebraic expression for the following: "Seven times a number p decreased by 4."
Q12. Find the value of 4x + 3y when x = 2 and y = 3.
Q13. Identify which of the following are expressions and which are equations:
a) 3n + 5
b) 2x - 1 = 9
c) 7m
Q14. Riya has some marbles. After giving 6 marbles to her friend, she has 14 left. Write an equation for this situation and find the total number of marbles she had at the start.
Q15. Write two different algebraic expressions using the variable z and find their values when z = 6.
⭐ Answer Key
Class 6 · Maths · Basic AlgebraAnswer Key
Q1. b) 17
Explanation: 3(5) + 2 = 15 + 2 = 17
Q2. c) n
Explanation: A variable is a symbol that represents an unknown or changing value.
Q3. c) 2y + 5
Explanation: Twice y is 2y, and 5 more than that gives 2y + 5.
Q4. d) 5
Explanation: 4x = 20, so x = 20 divided by 4 = 5.
Q5. c) 9
Explanation: A constant is a fixed numerical value that does not change.
Q6. variable
Q7. 17
Explanation: 5(4) - 3 = 20 - 3 = 17
Q8. equal
Q9. 8
Explanation: y = 15 - 7 = 8
Q10. m/3
Q11. The algebraic expression is 7p - 4.
Q12. 4(2) + 3(3) = 8 + 9 = 17
The value of the expression is 17.
Q13.
a) 3n + 5 is an expression because it has no equal sign.
b) 2x - 1 = 9 is an equation because it has an equal sign.
c) 7m is an expression because it has no equal sign.
Q14. Let the total number of marbles be m.
The equation is m - 6 = 14.
Solving: m = 14 + 6 = 20.
Riya had 20 marbles at the start.
Q15. Expression 1: 3z + 2
When z = 6: 3(6) + 2 = 18 + 2 = 20
Expression 2: z squared - 4
When z = 6: 36 - 4 = 32
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