+
-
√
²
÷
×

Grade 8 Algebraic Equations Quiz 7

Solving equations: inverses, fractions and exponents

What this quiz covers

grade8_equations_quiz7 draws its questions at random from a bank of 16 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.

Solve using additive inverses: \(x+8=15\)

  1. \(x=7\)
  2. \(x=23\)
  3. \(x=-7\)
  4. \(x=8\)

Answer: \(x=7\)

\(\text{Subtract 8 from both sides (additive inverse).}\)

\(x=15-8\)

\(x=7\)

Solve using additive inverses: \(5+t=-3\)

  1. \(t=-8\)
  2. \(t=2\)
  3. \(t=8\)
  4. \(t=-2\)

Answer: \(t=-8\)

\(\text{Subtract 5 from both sides.}\)

\(t=-3-5\)

\(t=-8\)

Solve using additive inverses: \(n-9=4\)

  1. \(n=13\)
  2. \(n=-5\)
  3. \(n=5\)
  4. \(n=36\)

Answer: \(n=13\)

\(\text{Add 9 to both sides.}\)

\(n=4+9\)

\(n=13\)

Solve using additive inverses: \(-6+k=2\)

  1. \(k=8\)
  2. \(k=-4\)
  3. \(k=4\)
  4. \(k=-8\)

Answer: \(k=8\)

\(\text{Add 6 to both sides.}\)

\(k=2+6\)

\(k=8\)

Solve using multiplicative inverses: \(4x=28\)

  1. \(x=7\)
  2. \(x=32\)
  3. \(x=24\)
  4. \(x=112\)

Answer: \(x=7\)

\(\text{Divide both sides by 4 (multiplicative inverse).}\)

\(x=28\div4\)

\(x=7\)