Worksheets — Set 3

Algebra I · Quadratic expressions and factoring (intro)

Print and write your answers. Use diagrams to show thinking.

Warm-up

1. Define variables for: a rectangle with perimeter 28. Write an equation. ___ 2. Write an inequality: at most 54 dollars spent. ___ 3. Revenue R = 9x. When is R > 140?

_See printable PDF for diagram._

Written practice

1. Define variables for: a rectangle with perimeter 26. Write an equation. ___ 2. Write an inequality: at most 53 dollars spent. ___ 3. Revenue R = 8x. When is R > 130? 4. Interpret the solution x = 7 in your context. 5. Is a negative solution reasonable? Explain. 6. Create a modeling equation for Quadratic expressions and factoring (intro). 7. Define variables for: a rectangle with perimeter 32. Write an equation. ___ 8. Write an inequality: at most 56 dollars spent. ___

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More written practice

1. Revenue R = 11x. When is R > 160? 2. Interpret the solution x = 10 in your context. 3. Define variables for: a rectangle with perimeter 38. Write an equation. ___ 4. Write an inequality: at most 59 dollars spent. ___ 5. Revenue R = 14x. When is R > 190? 6. Interpret the solution x = 13 in your context.

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Patterns and rules

1. Define variables for: a rectangle with perimeter 60. Write an equation. ___ 2. Write an inequality: at most 70 dollars spent. ___ 3. Revenue R = 25x. When is R > 300?

_See printable PDF for diagram._

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Parent tip: Define variables clearly in words