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Explorer · Grades 4-8

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We Distribute, Yet Things Multiply: Practice 3

Practise focused skills from We Distribute, Yet Things Multiply

MathematicsGrade 8Mixed12 questions24 min
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Section A: Core Practice · 6 questionsSection B: Reasoning and Application · 6 questions
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Section A: Core Practice

Build core ideas for this chapter.

Choose the best answer for each question.

Question 1
EasyQuestion

Expand 6(2x+5)6(2x+5).

Topic: Algebraic Expansion · Skill: Simplify expressions after expansion

Question 2
EasyQuestion

Factorise 14x+2114x+21 by taking out the greatest common factor.

Topic: Common Factors and Reverse Distribution · Skill: Identify common factors in algebraic expressions

Question 3
MediumQuestion

A student expands 5(2x+3)5(2x+3) as 10x+310x+3. What is the mistake?

Topic: Common Factors and Reverse Distribution · Skill: Factorise expressions using reverse distributive law

Question 4
MediumQuestion

Which expression is equivalent to a(b+c)a(b+c)?

Topic: Common Factors and Reverse Distribution · Skill: Choose efficient expansion or factorisation strategies

Question 5
MediumQuestion

Which expression is equal to 9×60+9×89\times 60+9\times 8 by the distributive law?

Topic: Distributive Law in Arithmetic · Skill: Use distributive law for mental multiplication

What this assignment covers

Progressive Grade 8 Math practice for We Distribute, Yet Things Multiply covering Algebraic Expansion, Common Factors and Reverse Distribution, Distributive Law in Arithmetic.

Skills and sections

Simplify expressions after expansion, Identify common factors in algebraic expressions, Factorise expressions using reverse distributive law, Choose efficient expansion or factorisation strategies, Use distributive law for mental multiplication

  • Section A: Core Practice: 6 questions
  • Section B: Reasoning and Application: 6 questions