Lesson Worksheet: Solving Quadratic Equations: Taking Square Roots Mathematics • 8th Grade

In this worksheet, we will practice solving quadratic equations with no linear term using the square root property.

Q1:

Find the solution set of the equation 3𝑥44=0 in , giving values to one decimal place.

  • A{8.1,8.1}
  • B{14.7,14.7}
  • C{23.0,23.0}
  • D{3.8,3.8}

Q2:

Find the solution set of the equation 4𝑥=𝑥9.

  • A{6}
  • B{36}
  • C{6,6}
  • D{4,9}
  • E{36,36}

Q3:

Find the solution set of the equation (𝑥17)=0 in .

  • A{17}
  • B{289}
  • C{17}
  • D{17,17}

Q4:

If 𝑥5,8=95,𝑦, find all the possible values of 𝑥 and 𝑦.

  • A𝑥=10, 𝑦=8
  • B𝑥=10 or 𝑥=10, 𝑦=512
  • C𝑥=100, 𝑦=512
  • D𝑥=10 or 𝑥=10, 𝑦=8

Q5:

Solve 𝑥=2.

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

Q6:

Solve the equation 𝑥+1=3.

  • A𝑥=31
  • B𝑥=3+1, 𝑥=3+1
  • C𝑥=31, 𝑥=31
  • D𝑥=3, 𝑥=3
  • E𝑥=31

Q7:

Solve 𝑥=511.

  • A𝑥=115
  • B𝑥=511
  • C𝑥=511, 𝑥=511
  • D𝑥=115, 𝑥=115
  • E𝑥=511, 𝑥=511

Q8:

Solve the equation 𝑥=16.

  • A𝑥=4, 𝑥=4
  • B𝑥=8, 𝑥=8
  • C𝑥=8
  • D𝑥=4
  • E𝑥=4

Q9:

Solve the equation 𝑥+2=3.

  • A𝑥=23𝑖
  • B𝑥=23𝑖, 𝑥=23𝑖
  • C𝑥=23𝑖
  • D𝑥=32, 𝑥=32
  • E𝑥=322, 𝑥=322

Q10:

Solve the equation (𝑥2)=7.

  • A𝑥=9
  • B𝑥=3, 𝑥=3
  • C𝑥=2+7, 𝑥=27
  • D𝑥=2+7
  • E𝑥=27

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