Worksheets — Set 15

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 52. Write an equation. ___ 2. Write an inequality: at most 66 dollars spent. ___ 3. Revenue R = 21x. When is R > 260?

_See printable PDF for diagram._

Written practice

1. Define variables for: a rectangle with perimeter 50. Write an equation. ___ 2. Write an inequality: at most 65 dollars spent. ___ 3. Revenue R = 20x. When is R > 250? 4. Interpret the solution x = 19 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 56. Write an equation. ___ 8. Write an inequality: at most 68 dollars spent. ___

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More written practice

1. Revenue R = 23x. When is R > 280? 2. Interpret the solution x = 22 in your context. 3. Define variables for: a rectangle with perimeter 62. Write an equation. ___ 4. Write an inequality: at most 71 dollars spent. ___ 5. Revenue R = 26x. When is R > 310? 6. Interpret the solution x = 25 in your context.

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Patterns and rules

1. Define variables for: a rectangle with perimeter 84. Write an equation. ___ 2. Write an inequality: at most 82 dollars spent. ___ 3. Revenue R = 37x. When is R > 420?

_See printable PDF for diagram._

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Parent tip: Define variables clearly in words