Worksheets — Set 1

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 24. Write an equation. ___ 2. Write an inequality: at most 52 dollars spent. ___ 3. Revenue R = 7x. When is R > 120?

_See printable PDF for diagram._

Written practice

1. Define variables for: a rectangle with perimeter 22. Write an equation. ___ 2. Write an inequality: at most 51 dollars spent. ___ 3. Revenue R = 6x. When is R > 110? 4. Interpret the solution x = 5 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 28. Write an equation. ___ 8. Write an inequality: at most 54 dollars spent. ___

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More written practice

1. Revenue R = 9x. When is R > 140? 2. Interpret the solution x = 8 in your context. 3. Define variables for: a rectangle with perimeter 34. Write an equation. ___ 4. Write an inequality: at most 57 dollars spent. ___ 5. Revenue R = 12x. When is R > 170? 6. Interpret the solution x = 11 in your context.

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Patterns and rules

1. Define variables for: a rectangle with perimeter 56. Write an equation. ___ 2. Write an inequality: at most 68 dollars spent. ___ 3. Revenue R = 23x. When is R > 280?

_See printable PDF for diagram._

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Parent tip: Define variables clearly in words