Lesson Worksheet: Proportions Mathematics • 7th Grade

In this worksheet, we will practice using properties of proportions to find an unknown value in a proportional relationship and prove algebraic statements.

Q1:

If 8 and 3 are in the same ratio as 96 and 𝑥, then find the value of 𝑥.

Q2:

If 7𝑥=4278, find the value of 𝑥.

Q3:

If 𝑚 is nonzero and 𝑎𝑏=𝑐𝑑=𝑒𝑓=𝑚, which of the following is equal to 𝑎𝑐𝑒𝑏𝑑𝑓?

  • A𝑚
  • B𝑚
  • C3𝑚
  • D3𝑚

Q4:

What is the value of 𝑥 if 3, 𝑥+6, 4, and 44 are in proportion?

Q5:

Given that 𝑥+𝑦14=𝑦+𝑒10=𝑒+𝑥4, find the value of the missing denominator in the equation 𝑥𝑒4=𝑦𝑥.

Q6:

If 𝑎7=𝑏4=𝑐14=6𝑎7𝑏+2𝑐3𝑥, find the value of 𝑥.

Q7:

If 𝑎,𝑏,𝑐, and 𝑑 are proportional, which of the following equals 6𝑎9𝑏6𝑐9𝑑?

  • A𝑑𝑏
  • B𝑎𝑑
  • C𝑐𝑎
  • D𝑎𝑐

Q8:

Given that 𝑦𝑧=𝑧𝑛=𝑛𝑚=411, determine the solution set of the equation 𝑦𝑥2𝑧𝑥+𝑛=0.

  • A114
  • B411
  • C114
  • D411

Q9:

If 𝑏 is the middle proportion between 𝑎 and 𝑐, then which of the following is equal to 𝑎+𝑏𝑏+𝑐?

  • A𝑎𝑐
  • B2𝑎𝑐
  • C𝑐𝑎
  • D2𝑐𝑎

Q10:

If 𝑏 is the middle proportion between 𝑎 and 𝑐, then which of the following is equal to 𝑏49𝑐𝑎49𝑏?

  • A𝑐𝑏
  • B𝑏𝑐
  • C𝑏𝑐
  • D𝑐𝑏

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