Worksheets — Set 12

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 46. Write an equation. ___ 2. Write an inequality: at most 63 dollars spent. ___ 3. Revenue R = 18x. When is R > 230?

_See printable PDF for diagram._

Written practice

1. Define variables for: a rectangle with perimeter 44. Write an equation. ___ 2. Write an inequality: at most 62 dollars spent. ___ 3. Revenue R = 17x. When is R > 220? 4. Interpret the solution x = 16 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 50. Write an equation. ___ 8. Write an inequality: at most 65 dollars spent. ___

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More written practice

1. Revenue R = 20x. When is R > 250? 2. Interpret the solution x = 19 in your context. 3. Define variables for: a rectangle with perimeter 56. Write an equation. ___ 4. Write an inequality: at most 68 dollars spent. ___ 5. Revenue R = 23x. When is R > 280? 6. Interpret the solution x = 22 in your context.

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Patterns and rules

1. Define variables for: a rectangle with perimeter 78. Write an equation. ___ 2. Write an inequality: at most 79 dollars spent. ___ 3. Revenue R = 34x. When is R > 390?

_See printable PDF for diagram._

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Parent tip: Define variables clearly in words