Worksheets — Set 11

Algebra I · Honors · Quadratic functions, factoring, and completing the square

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

Warm-up

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?

_See printable PDF for diagram._

Written practice

1. Define variables for: a rectangle with perimeter 42. Write an equation. ___ 2. Write an inequality: at most 61 dollars spent. ___ 3. Revenue R = 16x. When is R > 210? 4. Interpret the solution x = 15 in your context. 5. Is a negative solution reasonable? Explain. 6. Create a modeling equation for Quadratic functions, factoring, and completing the square. 7. Define variables for: a rectangle with perimeter 48. Write an equation. ___ 8. Write an inequality: at most 64 dollars spent. ___

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More written practice

1. Revenue R = 19x. When is R > 240? 2. Interpret the solution x = 18 in your context. 3. Define variables for: a rectangle with perimeter 54. Write an equation. ___ 4. Write an inequality: at most 67 dollars spent. ___ 5. Revenue R = 22x. When is R > 270? 6. Interpret the solution x = 21 in your context.

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Patterns and rules

1. Define variables for: a rectangle with perimeter 76. Write an equation. ___ 2. Write an inequality: at most 78 dollars spent. ___ 3. Revenue R = 33x. When is R > 380?

_See printable PDF for diagram._

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Parent tip: Define variables clearly in words