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Lesson: Proportional Equations

Sample Question Videos

Worksheet • 8 Questions • 1 Video

Q1:

For the following table, find the algebraic equation that shows the proportional relationship between π‘₯ and 𝑦 .

π‘₯ 6 7 8
𝑦 12 14 16
  • A 𝑦 = 2 π‘₯
  • B π‘₯ = 𝑦
  • C π‘₯ = 2 𝑦
  • D π‘₯ = 6 𝑦
  • E 𝑦 = 6 π‘₯

Q2:

Which of the below represents the percentage of 74 commuters from 430 commuters?

  • A 7 4 4 3 0 = 𝑛 1 0 0
  • B 4 3 0 7 4 = 𝑛 1 0 0
  • C 𝑛 = 7 4 Γ— 4 . 3
  • D 𝑛 = 7 4 Γ— 4 3 0
  • E 𝑛 = 0 . 7 4 Γ— 4 3 0

Q3:

Determine the four proportional numbers of which the fourth proportional equals the square of the second, the first is less than the second by 1, and the third is 72.

  • A 8 , 9 , 7 2 , 8 1 or βˆ’ 9 , βˆ’ 8 , 7 2 , 6 4
  • B 1 0 , 9 , 7 2 , 8 1 or βˆ’ 7 , βˆ’ 8 , 7 2 , 6 4
  • C 1 0 , 9 , 7 2 , 1 8 or βˆ’ 7 , βˆ’ 8 , 7 2 , βˆ’ 1 6
  • D 8 , 9 , 7 2 , 1 8 or βˆ’ 9 , βˆ’ 8 , 7 2 , βˆ’ 1 6

Q4:

For every three dishes Nada cleans, Sarah cleans five. This represents a proportional relationship. Which of the following equations can be used to determine how many dishes Sarah cleans if Nada cleans 38?

  • A 3 5 = 3 8 π‘₯
  • B 3 5 = π‘₯ 3 8
  • C π‘₯ 5 = 3 3 8
  • D π‘₯ 3 = 3 8 5

Q5:

Hagar plotted the distance, in miles, she cycled against the time, in hours, on her last ride and drew a line of best fit. Her friend Mahmoud says that to estimate the distance in miles he covers in a given number of hours, he uses the equation .

Who is the faster cyclist?

  • AMahmoud
  • BHagar

Q6:

It takes Teresa 8 minutes to fill her 60-litre bath from a single tap. Which of the following graphs represents the volume of water she gets from her tap against the time during which the tap is open?

  • Athe green one
  • Bthe blue one
  • Cthe orange one
  • Dthe black one

Q7:

For the following coordinate plane, determine the total number of proportional relatoinships shown.

Q8:

The graph shows the amount of saturated fat contained in a given mass of butter.

A 100 g portion of olive oil contains 14 g of saturated fat. Which contains a larger proportion of saturated fat, butter or olive oil?

  • Aolive oil
  • Bbutter
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