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Cogito

Algebra 1 · Chapter 3 · Lesson 4

Practice Worksheet

Rate of Change

How fast the output moves as the input does.

11 problems · about 22 minutes · F-IF.B.6

NameDate

Figure — use these to answer the problems

Two slope triangles on one line report the same rate at different sizes.
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y = 2x + 1
Rate of change2
Starting value1
Figure 1

Warm Up

Straightforward practice. Get the method working first.

4 problems

  1. From 5 to 25 over 4 steps. Rate?

    Answer

  2. From 2 to 14 over 4 steps. Rate?

    Answer

  3. From 20 to 8 over 3 steps. Rate?

    Answer

  4. From 7 to 7 over 5 steps. Rate?

    Answer

Build It Up

The same ideas with more to keep track of.

3 problems

  1. Is the rate of change of a straight line constant? 1 for yes, 0 for no.

    Answer

  2. Through (0, 3) and (4, 19). Rate?

    Answer

  3. A negative rate means the output is doing what? 1 for rising, 2 for falling.

    Answer

Stretch Yourself

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

4 problems

  1. Select every statement that is true of the rate of change.

    • It is change in output over change in input.
    • It is the same on every curve.
    • It should be reported with units.
    • It can never be negative.
    • Tick every box that applies.

  2. Through (1, 5) and (3, 11). Rate?

    Answer

  3. The Drain

    From 40 litres to 10 litres over 6 minutes. What is the rate, in litres per minute?

    Answer

  4. The Wage

    £60 for 5 hours. What is the rate, in pounds per hour?

    Answer