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Grade 8 Algebraic Equations Quiz 3

Comprehensive: Language, Inspection, Inverses, Powers and Tables

What this quiz covers

grade8_equations_quiz3 draws its questions at random from a bank of 13 questions, with full worked solutions for every one.

Worked examples

A few of the question types, with full solutions, so you know what to expect.

State whether \(6x+4\) is an expression or an equation.

  1. Expression
  2. Equation
  3. Both
  4. Neither

Answer: Expression

\(\text{It has no equals sign, so it cannot be an equation.}\)

Write an equation for: "Twice a number increased by 8 is 20."

  1. \(2n+8=20\)
  2. \(2n-8=20\)
  3. \(n+2(8)=20\)
  4. \(2(n+8)=20\)

Answer: \(2n+8=20\)

\(\text{Twice a number: } 2n\)

\(\text{Increased by 8: } 2n+8\)

Solve by inspection: \(m+5=9\)

  1. \(m=4\)
  2. \(m=14\)
  3. \(m=45\)
  4. \(m=1.8\)

Answer: \(m=4\)

\(\text{Ask: what plus 5 equals 9?}\)

Solve using inverses: \(5x+8=28\)

  1. \(x=4\)
  2. \(x=7.2\)
  3. \(x=36\)
  4. \(x=3.6\)

Answer: \(x=4\)

\(5x=28-8=20\)

\(x=20\div5=4\)

Solve: \(3a-7=a+5\)

  1. \(a=6\)
  2. \(a=1\)
  3. \(a=-6\)
  4. \(a=12\)

Answer: \(a=6\)

\(\text{Subtract } a\text{: } 2a-7=5\)

\(\text{Add 7: } 2a=12\)

\(a=6\)