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Cogito

Algebra 1 · Chapter 4 · Lesson 1

Practice Worksheet

Forms of a Linear Equation

Three ways to write the same line.

10 problems · about 20 minutes · F-IF.B.4, F-LE.A.2, A-CED.A.2

NameDate

Figure — use these to answer the problems

Change m and b and read the line off the graph.
-10-10-5-55510101236
y = 2x + 1
Slope m2
Intercept b1
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

2 problems

  1. From “Piecewise Functions”

    f(x) = 5x for x < 2, else x + 50. What is f(1)?

    Answer

  2. From “Rate of Change”

    From 5 to 25 over 4 steps. Rate?

    Answer

Warm Up

Straightforward practice. Get the method working first.

4 problems

  1. Through (1, 2) and (4, 11). What is the slope?

    Answer

  2. What do perpendicular slopes multiply to?

    Answer

  3. Through (0, 5) with slope 3. What is b?

    Answer

  4. Through (2, 7) and (4, 13). What is the slope?

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. y = 5x + 2. What is the slope of a parallel line?

    Answer

  2. y = 3x − 1. 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 Slope

    A line passes through (1, 4) and (5, 16). What is its slope?

    Answer

  2. Perpendicular

    A line has slope 4. What is the slope of a perpendicular line, as the bottom number of a negative fraction with top 1?

    Answer