Unit 5 · Class 6 IB MYP · MCQ Test

Algebraic Thinking MCQ Test — Class 6 IB MYP

Practice 10 multiple-choice questions with instant answer reveal and explanations.

Algebraic Thinking — MCQ Questions

1If $x = 5$, what is the value of $x + 3$?

A.3
B.5
C.8
D.15
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Answer: 8

Hint: Substitute x = 5 into the expression.

Solution:

Substitute: — 5 + 3 = 8

2What is the next number in the pattern: 2, 5, 8, 11, ___?

A.13
B.14
C.15
D.16
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Answer: 14

Hint: Find the common difference between consecutive terms.

Solution:

Common difference: +3 each time. — 11 + 3 = 14

3Write an expression for "a number $n$ increased by 7".

A.$7n$
B.$n - 7$
C.$n + 7$
D.$\frac{n}{7}$
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Answer: $n + 7$

Hint: "Increased by" means addition.

Solution:

"Increased by 7" means add 7: — n + 7

4Simplify: $3a + 2a$.

A.$5a$
B.$6a$
C.$5a^2$
D.$32a$
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Answer: $5a$

Hint: Add the coefficients of the like terms.

Solution:

Combine like terms: — 3a + 2a = 5a

5If $y = 4$, find the value of $3y$.

A.7
B.12
C.34
D.43
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Answer: 12

Hint: $3y$ means 3 times $y$.

Solution:

Substitute: — 3 \times 4 = 12

6What is the rule for this pattern? 1, 4, 9, 16, 25, ...

A.Add 3 each time
B.Multiply by 2
C.Square numbers ($n^2$)
D.Add consecutive odd numbers
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Answer: Square numbers ($n^2$)

Hint: 1 = 1², 4 = 2², 9 = 3², ...

Solution:

Pattern: — 1^2, 2^2, 3^2, 4^2, 5^2, ...

7Solve: $x + 9 = 15$.

A.4
B.5
C.6
D.24
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Answer: 6

Hint: Subtract 9 from both sides.

Solution:

Subtract 9: — x = 15 - 9 = 6

8Which expression represents "twice a number $p$ minus 4"?

A.$2(p - 4)$
B.$2p - 4$
C.$p^2 - 4$
D.$2 + p - 4$
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Answer: $2p - 4$

Hint: "Twice a number" = 2p, "minus 4" = − 4.

Solution:

Translate: — 2p - 4

9Simplify: $7b - 3b + b$.

A.$4b$
B.$5b$
C.$11b$
D.$3b$
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Answer: $5b$

Hint: Combine the coefficients: 7 − 3 + 1.

Solution:

Combine: — 7b - 3b + b = (7 - 3 + 1)b = 5b

10Find the next term: 3, 6, 12, 24, ___.

A.30
B.36
C.48
D.72
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Answer: 48

Hint: Each term is multiplied by 2.

Solution:

Pattern: multiply by 2. — 24 \times 2 = 48

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Tips for Algebraic Thinking MCQs

  • 1Read each question carefully and identify what is being asked before looking at the options.
  • 2Try to solve the problem mentally or on paper first, then match your answer with the options.
  • 3Use elimination — rule out clearly wrong options to improve your chances even when unsure.
  • 4Check units, signs, and edge cases — these are common traps in Algebraic Thinking MCQs.
  • 5Review your mistakes after completing the test to build lasting understanding.

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