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Worksheet: Solving Equations with Rational Numbers

Q1:

Solve 2 𝑧 + 1 2 = 5 for 𝑧 .

  • A 5 2
  • B 2 3 4
  • C5
  • D 2 1 4
  • E 1 1 4

Q2:

Charlotte rode the bus to work today. She travelled 1 7 8 miles and, due to bad traffic, it took 3 4 of an hour. Solve the equation 3 4 𝑠 = 1 7 8 to find the average speed 𝑠 of the bus.

  • A 1 1 8 mph
  • B 5 8 mph
  • C 1 3 4 mph
  • D 2 1 2 mph
  • E 4 3 8 mph

Q3:

Which of the following equations is equivalent to 2 3 π‘₯ + 1 1 3 = 4 ?

  • A 6 π‘₯ + 3 3 = 1 2
  • B 2 π‘₯ + 1 1 = 4
  • C 6 π‘₯ + 1 1 = 1 2
  • D 2 π‘₯ + 1 1 = 1 2
  • E 6 π‘₯ + 3 3 = 4

Q4:

Which of the following equations is equivalent to 8 9 π‘₯ + 2 5 = 1 3 1 5 ?

  • A 4 0 π‘₯ + 1 0 = 6 5
  • B 4 0 π‘₯ + 6 = 3 9
  • C 4 0 π‘₯ + 1 0 = 3 9
  • D 4 0 π‘₯ + 1 8 = 3 9
  • E 4 0 π‘₯ + 1 8 = 6 5