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Cogito

Grade 7 Math · Chapter 2 · Lesson 1

Practice Worksheet

The Constant of Proportionality

The number you have been multiplying by all along.

10 problems · about 18 minutes · 7.RP.A.2

NameDate

Figure — use these to answer the problems

The constant is the steepness. Change it and watch the line tilt.
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y = 3x
Constant k3
Starting amount0
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

2 problems

  1. From “Redrawing at a New Scale”

    9 cm at 1 cm to 2 m, redrawn at 1 cm to 3 m. New length in cm?

    Answer

  2. From “Reading a Scale”

    Scale 1 cm to 30 km. Real distance for 5 cm, in km?

    Answer

Warm Up

Straightforward practice. Get the method working first.

4 problems

  1. 5 pairs with 35. What is k?

    Answer

  2. How do you test whether a table is proportional?

    • Divide each output by its input and see if they agree.
    • Subtract each input from its output.

  3. 3 pairs with 12. What is k?

    Answer

  4. 6 pairs with 42. What is k?

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. y = 8x. What is y when x = 5?

    Answer

  2. y = 6x and y = 54. What is x?

    Answer

Stretch Yourself

Mixed problems. Work out what kind of question it is before you start.

2 problems

  1. The Petrol

    4 litres cost 6 pounds. What is the cost of 1 litre, in pounds?

    Answer

  2. The Rule

    y = 7x. What is y when x = 9?

    Answer