Worksheets — Set 5

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 32. Write an equation. ___ 2. Write an inequality: at most 56 dollars spent. ___ 3. Revenue R = 11x. When is R > 160?

_See printable PDF for diagram._

Written practice

1. Define variables for: a rectangle with perimeter 30. Write an equation. ___ 2. Write an inequality: at most 55 dollars spent. ___ 3. Revenue R = 10x. When is R > 150? 4. Interpret the solution x = 9 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 36. Write an equation. ___ 8. Write an inequality: at most 58 dollars spent. ___

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More written practice

1. Revenue R = 13x. When is R > 180? 2. Interpret the solution x = 12 in your context. 3. Define variables for: a rectangle with perimeter 42. Write an equation. ___ 4. Write an inequality: at most 61 dollars spent. ___ 5. Revenue R = 16x. When is R > 210? 6. Interpret the solution x = 15 in your context.

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Patterns and rules

1. Define variables for: a rectangle with perimeter 64. Write an equation. ___ 2. Write an inequality: at most 72 dollars spent. ___ 3. Revenue R = 27x. When is R > 320?

_See printable PDF for diagram._

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Parent tip: Define variables clearly in words