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IGCSE Class 8  >  Class 8 Test  >  Year 8 Mathematics (Cambridge)  >  Test: Expanding brackets - Class 8 MCQ

Expanding brackets - Free MCQ Practice Test with solutions, Class 8 Year


MCQ Practice Test & Solutions: Test: Expanding brackets (10 Questions)

You can prepare effectively for Class 8 Year 8 Mathematics IGCSE (Cambridge) with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test: Expanding brackets". These 10 questions have been designed by the experts with the latest curriculum of Class 8 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 20 minutes
  • - Number of Questions: 10

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Test: Expanding brackets - Question 1
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3b - 16 + b = 1 is the same as which of the following?

Detailed Solution: Question 1

Simplify the left side by combining like terms: -13b + b = -12b, so the equation becomes -12b - 16 = 1.

To isolate the term with b, add 16 to both sides: -12b - 16 + 16 = 1 + 16 -12b = 17

The equivalent equation is -12b = 17.

Test: Expanding brackets - Question 2
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If 4(x - 5) = 10, what is the value of x?

Detailed Solution: Question 2

Expand the brackets: 4(x - 5) = 4x - 20, so the equation is 4x - 20 = 10.

Add 20 to both sides to isolate the term with x: 4x - 20 + 20 = 10 + 20 4x = 30

Divide both sides by 4: x = 30 / 4 = 7.5

Thus, x = 7.5 (Option B).

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Test: Expanding brackets - Question 3
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3 x a + 4 = 6 is the same as which of the following?

Detailed Solution: Question 3

Write the equation as 3a + 4 = 6 (assuming "3 x a" means 3a).

To isolate the term with a, subtract 4 from both sides: 3a + 4 - 4 = 6 - 4 3a = 2

The equivalent equation is 3a = 6 - 4 (Option A).

Test: Expanding brackets - Question 4
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5(a - 4) is the same as which of the following?

Detailed Solution: Question 4

Expand the brackets by distributing the 5: 5(a - 4) = 5 * a - 5 * 4 = 5a - 20

The equivalent expression is 5a - 20 (Option B).

Test: Expanding brackets - Question 5
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3a + 6 + b = 3a + 5 is the same as which of the following?

Detailed Solution: Question 5

To isolate b, subtract 3a from both sides: 3a + 6 + b - 3a = 3a + 5 - 3a 6 + b = 5

Subtract 6 from both sides: b = 5 - 6 b = -1

This can be written as b = 3a - 3a + 5 - 6, which simplifies to b = -1 (Option A).

Test: Expanding brackets - Question 6
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2x - 6 could be written as which of the following?

Detailed Solution: Question 6

Factor the expression 2x - 6: 2x - 6 = 2(x - 3)

Option C: (2(x - 3)) is correct.

Test: Expanding brackets - Question 7
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Expand and simplify the expression: 3(x + 2).

Detailed Solution: Question 7

Distribute the 3 across the terms inside the parentheses: 3(x + 2) = 3 * x + 3 * 2 = 3x + 6

The simplified expression is 3x + 6 (Option A).

Test: Expanding brackets - Question 8
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Which expression is equivalent to 2(3y − 4)?

Detailed Solution: Question 8

Distribute the 2 across the terms inside the parentheses: 2(3y - 4) = 2 * 3y - 2 * 4 = 6y - 8

The equivalent expression is 6y - 8 (Option A).

Test: Expanding brackets - Question 9
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Look at the following equation and choose the correct answer when the brackets have been expanded: 4(a + 3) = 5(b - 8)

Detailed Solution: Question 9

Expand the left side: 4(a + 3) = 4 * a + 4 * 3 = 4a + 12

Expand the right side: 5(b - 8) = 5 * b - 5 * 8 = 5b - 40

The expanded equation is 4a + 12 = 5b - 40 (Option C).

Test: Expanding brackets - Question 10
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Expand and simplify the expression: 4(2a − 3).

Detailed Solution: Question 10

Distribute the 4 across the terms inside the parentheses: 4(2a - 3) = 4 * 2a - 4 * 3 = 8a - 12

The simplified expression is 8a - 12 (Option B).

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About this Class 8 Practice Test

This test contains 10 MCQs on Expanding brackets with detailed solutions for each question. It is part of the Year 8 Mathematics IGCSE (Cambridge) course on EduRev, designed to align with the current Class 8 syllabus. Each solution explains not just the correct answer but also gives you an understanding of the topic — not just to attempt the question but also help you prepare for the exam with practice.

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If you found this Expanding brackets MCQ Test helpful, you can further enhance your Class 8 preparation with in-depth courses on EduRev, for all the subjects and topics available in Year 8 Mathematics IGCSE (Cambridge) course. The course offers:
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