Lesson Worksheet: Solving Quadratic Equations: Factoring Mathematics

In this worksheet, we will practice solving quadratic equations by factoring.

Q1:

Find the solution set of 𝑥(𝑥19)=15𝑥 in .

  • A{4}
  • B{0,4}
  • C{4}
  • D{19,15}
  • E{0,4}

Q2:

Find the solution set of (𝑥+9)=(𝑥+9) in .

  • A{9,10}
  • B{10}
  • C{9,8}
  • D{9,8}
  • E{9}

Q3:

Solve the equation (𝑥3)(𝑥+8)=0.

  • A𝑥=3, 𝑥=8
  • B𝑥=3, 𝑥=8
  • C𝑥=3, 𝑥=8
  • D𝑥=3, 𝑥=8

Q4:

Find the solution set of (𝑥+2)(𝑥7)=8 in .

  • A{2,7}
  • B{1,6}
  • C{2,3}
  • D{2,3}
  • E{1,6}

Q5:

Find the solution set of the equation 𝑥711𝑥+241=0 in .

  • A711,241
  • B711,241
  • C711,241
  • D711,241

Q6:

Solve 𝑥4𝑥+4=0 by factoring.

  • A𝑥=4
  • B𝑥=4, 𝑥=1
  • C𝑥=2
  • D𝑥=2, 𝑥=2
  • E𝑥=2

Q7:

Find the solution set of 𝑥+5𝑥36=0 in .

  • A{4,9}
  • B{2,18}
  • C{4,9}
  • D{2,18}
  • E{1,36}

Q8:

Find the solution set of the equation 𝑥+21𝑥=10 in .

  • A{3,7}
  • B1,133
  • C{1,1}
  • D{3}
  • E{3,7}

Q9:

Find the solution set of 𝑥+22=12𝑥 in .

  • A{6,4}
  • B{6,4}
  • C{3,8}
  • D{3,8}
  • E{6,4}

Q10:

By factoring, solve the equation 𝑥43𝑥4=52.

  • A𝑥=2, 𝑥=5
  • B𝑥=52
  • C𝑥=2, 𝑥=5
  • D𝑥=52
  • E𝑥=2

This lesson includes 41 additional questions and 325 additional question variations for subscribers.

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