Skip to lesson

Choose “Save as PDF” in the print dialog to keep a copy.

Cogito

Algebra 1 · Chapter 5 · Lesson 2

Practice Worksheet

Solving Systems by Graphing

The crossing point is the answer.

11 problems · about 22 minutes · A-REI.C.6, A-REI.D.11

NameDate

Figure — use these to answer the problems

Change the slope and intercept and picture where a second line would cross.
-10-10-5-5551010
y = x + 2
Slope1
Intercept2
Figure 1

Warm Up

Straightforward practice. Get the method working first.

4 problems

  1. Slopes 3 and 3, intercepts 1 and 4. How many solutions?

    Answer

  2. Slopes 2 and 7. How many solutions?

    Answer

  3. Slopes 5 and 5, intercepts 2 and 2. How many? Use 99 for infinitely many.

    Answer

  4. Slopes 5 and 5, intercepts 2 and 9. How many solutions?

    Answer

Build It Up

The same ideas with more to keep track of.

3 problems

  1. Lines cross at (3, 8). What is x in the solution?

    Answer

  2. Sort each pair of lines by how many solutions the system has.

    Write each item under the heading it belongs to: Different slopes · Same slope, different intercept · Same slope, same intercept

    Exactly one

    None

    Infinitely many

  3. Must a solution satisfy both equations? 1 for yes, 0 for no.

    Answer

Stretch Yourself

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

4 problems

  1. y = x and y = 2x cross at which x?

    Answer

  2. y = x + 1 and y = x + 1. How many? Use 99 for infinitely many.

    Answer

  3. Different Slopes

    Slopes 3 and 5. How many solutions?

    Answer

  4. Parallel

    Slopes 4 and 4, intercepts 1 and 6. How many solutions?

    Answer