Worksheets — Set 19

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 60. Write an equation. ___ 2. Write an inequality: at most 70 dollars spent. ___ 3. Revenue R = 25x. When is R > 300?

_See printable PDF for diagram._

Written practice

1. Define variables for: a rectangle with perimeter 58. Write an equation. ___ 2. Write an inequality: at most 69 dollars spent. ___ 3. Revenue R = 24x. When is R > 290? 4. Interpret the solution x = 23 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 64. Write an equation. ___ 8. Write an inequality: at most 72 dollars spent. ___

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More written practice

1. Revenue R = 27x. When is R > 320? 2. Interpret the solution x = 26 in your context. 3. Define variables for: a rectangle with perimeter 70. Write an equation. ___ 4. Write an inequality: at most 75 dollars spent. ___ 5. Revenue R = 30x. When is R > 350? 6. Interpret the solution x = 29 in your context.

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Patterns and rules

1. Define variables for: a rectangle with perimeter 92. Write an equation. ___ 2. Write an inequality: at most 86 dollars spent. ___ 3. Revenue R = 41x. When is R > 460?

_See printable PDF for diagram._

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Stretch

1. Define variables for: a rectangle with perimeter 108. Write an equation. ___ 2. Write an inequality: at most 94 dollars spent. ___

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Parent tip: Define variables clearly in words