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Cogito

Grade 7 Math · Chapter 2 · Lesson 3

Practice Worksheet

The Graph of a Proportional Relationship

A straight line through the origin.

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

NameDate

Figure — use these to answer the problems

Set the slope and the intercept. Proportional means the intercept is nought.
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y = 3x
Slope, k3
Where it crosses0
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

3 problems

  1. From “Telling Proportional from Not”

    y = 3x + 7. What is y when x = 6?

    Answer

  2. From “The Constant of Proportionality”

    5 pairs with 35. What is k?

    Answer

  3. 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

Warm Up

Straightforward practice. Get the method working first.

3 problems

  1. Proportional graph through (4, 24). What is k?

    Answer

  2. Proportional graph through (2, 10). What is k?

    Answer

  3. Proportional graph through (5, 15). What is k?

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. Must a proportional graph pass through the origin? Answer 1 for yes, 0 for no.

    Answer

  2. If k = 6, what is y when x is 4?

    Answer

Stretch Yourself

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

2 problems

  1. The Line

    A proportional graph passes through (3, 12). What is k?

    Answer

  2. The Taxi

    A taxi charges £3 to start plus £2 a mile. Is it proportional? Answer 1 for yes, 0 for no.

    Answer