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Cogito

Grade 8 Math · Chapter 6 · Lesson 2

Practice Worksheet

Linear and Nonlinear Functions

Straight, or something else.

10 problems · about 19 minutes · 8.F.A.3

NameDate

Figure — use these to answer the problems

A linear function is a straight line, whatever its slope.
-10-10-5-5551010
y = 2x + 1
Slope2
Intercept1
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

3 problems

  1. From “What a Function Is”

    Rule "multiply by 4 then add 1". What comes out when 5 goes in?

    Answer

  2. From “Solving a System by Elimination”

    x + y = 12 and x − y = 4. What is x?

    Answer

  3. From “Solving a System by Substitution”

    y = 4x and x + y = 15. What is x?

    Answer

Warm Up

Straightforward practice. Get the method working first.

3 problems

  1. 4, 10, 16, 22. Constant rise?

    Answer

  2. 2, 6, 10, 14. Constant rise?

    Answer

  3. Is y = 3x + 2 linear? 1 for yes, 0 for no.

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. 1, 2, 4, 8. Is it linear? 1 for yes, 0 for no.

    Answer

  2. 10, 7, 4, 1. Constant rise?

    Answer

Stretch Yourself

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

2 problems

  1. The Table

    5, 9, 13, 17. What is the constant rise?

    Answer

  2. The Curve

    Is y = x² linear? 1 for yes, 0 for no.

    Answer