+
-
√
²
÷
×

Grade 8 Algebraic Equations Quiz 2

Inverse Operations, Powers and Ordered-Pair Tables

What this quiz covers

grade8_equations_quiz2 draws its questions at random from a bank of 10 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: \(5x+8=28\)

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

Answer: \(x=4\)

\(\text{Subtract 8 from both sides: } 5x=20\)

\(\text{Divide both sides by 5: } x=4\)

\(\text{Check: } 5(4)+8=28\)

Solve: \(24-3b=9\)

  1. \(b=5\)
  2. \(b=11\)
  3. \(b=-5\)
  4. \(b=15\)

Answer: \(b=5\)

\(\text{Subtract 24 from both sides: } -3b=-15\)

\(\text{Divide both sides by } -3\text{: } b=5\)

\(\text{Check: } 24-3(5)=9\)

Solve: \(19+2x=25-x\)

  1. \(x=2\)
  2. \(x=6\)
  3. \(x=-2\)
  4. \(x=14.67\)

Answer: \(x=2\)

\(\text{Add } x \text{ to both sides: } 19+3x=25\)

\(\text{Subtract 19: } 3x=6\)

\(\text{Divide by 3: } x=2\)

Solve: \(3p-7=p+9\)

  1. \(p=8\)
  2. \(p=2\)
  3. \(p=16\)
  4. \(p=-8\)

Answer: \(p=8\)

\(\text{Subtract } p \text{ from both sides: } 2p-7=9\)

\(\text{Add 7: } 2p=16\)

\(\text{Divide by 2: } p=8\)

Solve, taking \(x\) as a positive length: \(x^2=49\)

  1. \(x=7\)
  2. \(x=24.5\)
  3. \(x=98\)
  4. \(x=25\)

Answer: \(x=7\)

\(\text{The square root of 49 is 7.}\)

\(7^2=49\)