Worksheets — Set 10

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 42. Write an equation. ___ 2. Write an inequality: at most 61 dollars spent. ___ 3. Revenue R = 16x. When is R > 210?

_See printable PDF for diagram._

Written practice

1. Define variables for: a rectangle with perimeter 40. Write an equation. ___ 2. Write an inequality: at most 60 dollars spent. ___ 3. Revenue R = 15x. When is R > 200? 4. Interpret the solution x = 14 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 46. Write an equation. ___ 8. Write an inequality: at most 63 dollars spent. ___

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More written practice

1. Revenue R = 18x. When is R > 230? 2. Interpret the solution x = 17 in your context. 3. Define variables for: a rectangle with perimeter 52. Write an equation. ___ 4. Write an inequality: at most 66 dollars spent. ___ 5. Revenue R = 21x. When is R > 260? 6. Interpret the solution x = 20 in your context.

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Patterns and rules

1. Define variables for: a rectangle with perimeter 74. Write an equation. ___ 2. Write an inequality: at most 77 dollars spent. ___ 3. Revenue R = 32x. When is R > 370?

_See printable PDF for diagram._

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Parent tip: Define variables clearly in words