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Cogito

Algebra 1 · Chapter 2 · Lesson 4

Practice Worksheet

Inequalities from Situations

At most, at least, and no more than.

11 problems · about 22 minutes · A-CED.A.1

NameDate

Figure — use these to answer the problems

What is spent, against what is left of the budget.
spent and left
the budget
Spent24
Left over6
Figure 1

Warm Up

Straightforward practice. Get the method working first.

4 problems

  1. £60 with books at £7. How many at most?

    Answer

  2. £25 with items at £5. How many at most?

    Answer

  3. £25 with items at £6. How many at most?

    Answer

  4. Match each phrase to its symbol.

    Draw a line from each item on the left to its match on the right.

    • At most
    • At least
    • More than
    • Less than or equal to
    • Greater than or equal to
    • Strictly greater than

Build It Up

The same ideas with more to keep track of.

3 problems

  1. 5n ≤ 45. Largest whole n?

    Answer

  2. 3n + 2 ≤ 20. Largest whole n?

    Answer

  3. Does "at most 10" include 10? 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. Does "more than 10" include 10? 1 for yes, 0 for no.

    Answer

  2. £100 with tickets at £12. How many at most?

    Answer

  3. The Budget

    £40 with pens at £3 each. How many pens at most?

    Answer

  4. The Minimum

    You need at least 50 points and have 32. How many more at minimum?

    Answer