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Cogito

Integrated Math 1 · Chapter 1 · Lesson 2

Practice Worksheet

Inequalities

One rule behaves differently.

12 problems · about 20 minutes · A-REI.B.3

NameDate

Figure — use these to answer the problems

Move the marker. Everything to its right satisfies x greater than that value.
-10-8-6-4-20246810

3

Boundary value3
Figure 1

Warm Up

Straightforward practice. Get the method working first.

5 problems

  1. 4x > 20. What is the boundary value for x?

    Answer

  2. When does an inequality sign reverse?

    • When multiplying or dividing by a negative number.
    • Whenever a negative number appears anywhere.

  3. x + 4 < 9. What is the boundary value for x?

    Answer

  4. 2x ≥ 14. What is the boundary value?

    Answer

  5. −3x > 9. What is the boundary value?

    Answer

Build It Up

The same ideas with more to keep track of.

3 problems

  1. Does dividing by −4 reverse the sign? 1 yes, 0 no.

    Answer

  2. Does subtracting 6 reverse the sign? 1 yes, 0 no.

    Answer

  3. 5x + 3 ≤ 23. What is the boundary value?

    Answer

Stretch Yourself

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

4 problems

  1. Sort each symbol by the circle it uses on a number line.

    Write each item under the heading it belongs to: Less than · Greater than · Less than or equal to · Greater than or equal to

    Open circle

    Closed circle

  2. −2x ≤ 10. What is the boundary value?

    Answer

  3. The Solve

    3x < 12. What is the largest whole number x can be?

    Answer

  4. The Budget

    Items cost $7 each and you have $50. What is the most you can buy?

    Answer