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Cogito

Grade 7 Math · Chapter 2 · Lesson 2

Practice Worksheet

Telling Proportional from Not

Straight through the origin, or it is not proportional.

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

NameDate

Figure — use these to answer the problems

A fixed starting amount lifts the line off the origin.
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y = 2x + 3
Cost per mile2
Fixed charge3
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

2 problems

  1. From “The Constant of Proportionality”

    5 pairs with 35. What is k?

    Answer

  2. 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.

4 problems

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

    Answer

  2. What must a proportional graph pass through?

    • The origin.
    • Any point.

  3. Is y = 4x proportional?

    • Yes.
    • No.

  4. Is y = 4x + 1 proportional?

    • No.
    • Yes.

Build It Up

The same ideas with more to keep track of.

2 problems

  1. 2 pairs with 6 and 4 pairs with 12. Is it proportional?

    • Yes, k = 3.
    • No.

  2. y = 5x + 2. What is y when x = 4?

    Answer

Stretch Yourself

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

2 problems

  1. The Taxi

    A taxi charges 3 pounds plus 2 per mile. What is the cost of 5 miles?

    Answerpounds

  2. The Test

    Is that taxi relationship proportional?

    • No. Zero miles still costs 3 pounds.
    • Yes.