Lesson Worksheet: Rational Equations Mathematics • 10th Grade

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In this worksheet, we will practice solving rational equations.

Q1:

Find the solution set of the equation 2𝑥+2+5𝑥−5=35𝑥−3𝑥−10.

  • A∅
  • B{5}
  • C{2}
  • D{−4}
  • E{5,−5}

Q2:

Given that 7𝑥𝑥−3=16𝑥𝑥+3−9, find the value of 𝑥.

  • A2717
  • B2711
  • C3
  • D275
  • E2723

Q3:

What is the solution set of the equation 1𝑥−1−1𝑥=1𝑥−1𝑥+1?

  • A{−1}
  • B{0}
  • C{}
  • D{2}
  • E{1}

Q4:

Find the value of 𝑥 that makes 0.2𝑥−6𝑥+4 equal to zero.

Q5:

Solve 3𝑥+1+6𝑥−1=2 for 𝑥.

  • A𝑥=−13, 𝑥=1
  • B𝑥=−12, 𝑥=5
  • C𝑥=15, 𝑥=5
  • D𝑥=12, 𝑥=3
  • E𝑥=−12, 𝑥=5

Q6:

If 2𝑥+75𝑥−9=12, find the value of 𝑥.

Q7:

Find the solution set of 1(𝑥−12)=0.0001 in ℝ.

  • A{2,22}
  • B{−22,−2}
  • C{−2}
  • D{22}

Q8:

Find 𝑥 given 𝑥−20𝑥+10=0.

Q9:

Solve 2𝑥+13𝑥+4=35.

  • A𝑥=−239
  • B𝑥=−179
  • C𝑥=1
  • D𝑥=7
  • E𝑥=17

Q10:

Solve 125𝑥+3=5.

  • A𝑥=22
  • B𝑥=628
  • C𝑥=622
  • D𝑥=−22
  • E𝑥=25

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