Lesson Worksheet: Rational Equations Mathematics • 10th Grade

In this worksheet, we will practice solving rational equations.

Q1:

Find the solution set of the equation 2π‘₯+2+5π‘₯βˆ’5=35π‘₯βˆ’3π‘₯βˆ’10.

  • Aβˆ…
  • B{5}
  • C{2}
  • D{βˆ’4}
  • E{5,βˆ’5}

Q2:

Given that 7π‘₯π‘₯βˆ’3=16π‘₯π‘₯+3βˆ’9, find the value of π‘₯.

  • A2717
  • B2711
  • C3
  • D275
  • E2723

Q3:

What is the solution set of the equation 1π‘₯βˆ’1βˆ’1π‘₯=1π‘₯βˆ’1π‘₯+1?

  • A{βˆ’1}
  • B{0}
  • C{}
  • D{2}
  • E{1}

Q4:

Find the value of π‘₯ that makes 0.2π‘₯βˆ’6π‘₯+4 equal to zero.

Q5:

Solve 3π‘₯+1+6π‘₯βˆ’1=2 for π‘₯.

  • Aπ‘₯=βˆ’13, π‘₯=1
  • Bπ‘₯=βˆ’12, π‘₯=5
  • Cπ‘₯=15, π‘₯=5
  • Dπ‘₯=12, π‘₯=3
  • Eπ‘₯=βˆ’12, π‘₯=5

Q6:

If 2π‘₯+75π‘₯βˆ’9=12, find the value of π‘₯.

Q7:

Find the solution set of 1(π‘₯βˆ’12)=0.0001οŠͺ in ℝ.

  • A{2,22}
  • B{βˆ’22,βˆ’2}
  • C{βˆ’2}
  • D{22}

Q8:

Find π‘₯ given π‘₯βˆ’20π‘₯+10=0.

Q9:

Solve 2π‘₯+13π‘₯+4=35.

  • Aπ‘₯=βˆ’239
  • Bπ‘₯=βˆ’179
  • Cπ‘₯=1
  • Dπ‘₯=7
  • Eπ‘₯=17

Q10:

Solve 125π‘₯+3=5.

  • Aπ‘₯=22
  • Bπ‘₯=628
  • Cπ‘₯=622
  • Dπ‘₯=βˆ’22
  • Eπ‘₯=25

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