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Cogito

Grade 8 Math · Chapter 5 · Lesson 1

Practice Worksheet

Where Two Lines Meet

A solution that satisfies both at once.

10 problems · about 19 minutes · 8.EE.C.8

NameDate

Figure — use these to answer the problems

Change the slope and intercept and think about where a second line would cross.
-10-10-5-5551010
y = 2x
Slope2
Intercept0
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

2 problems

  1. From “Writing Equations from Situations”

    6 + 5m = 3m + 20. What is m?

    Answer

  2. From “Equations with Brackets and Fractions”

    5(x + 1) = 40. What is x?

    Answer

Warm Up

Straightforward practice. Get the method working first.

4 problems

  1. y = 5x and y = 3x + 8. What is x?

    Answer

  2. What does it mean if two lines are parallel?

    • The system has no solution.
    • The system has many solutions.

  3. y = 2x and y = x + 5. What is x?

    Answer

  4. y = 5x and y = 2x + 9. What is x?

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. y = 3x and y = 3x + 2. How many solutions?

    Answer

  2. y = 6x and y = 4x + 8. What is x?

    Answer

Stretch Yourself

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

2 problems

  1. The Meeting Point

    y = 4x and y = x + 6. What is x?

    Answer

  2. The Value of y

    y = 4x and y = x + 6. What is y?

    Answer