Worksheets — Set 18

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 58. Write an equation. ___ 2. Write an inequality: at most 69 dollars spent. ___ 3. Revenue R = 24x. When is R > 290?

_See printable PDF for diagram._

Written practice

1. Define variables for: a rectangle with perimeter 56. Write an equation. ___ 2. Write an inequality: at most 68 dollars spent. ___ 3. Revenue R = 23x. When is R > 280? 4. Interpret the solution x = 22 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 62. Write an equation. ___ 8. Write an inequality: at most 71 dollars spent. ___

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More written practice

1. Revenue R = 26x. When is R > 310? 2. Interpret the solution x = 25 in your context. 3. Define variables for: a rectangle with perimeter 68. Write an equation. ___ 4. Write an inequality: at most 74 dollars spent. ___ 5. Revenue R = 29x. When is R > 340? 6. Interpret the solution x = 28 in your context.

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Patterns and rules

1. Define variables for: a rectangle with perimeter 90. Write an equation. ___ 2. Write an inequality: at most 85 dollars spent. ___ 3. Revenue R = 40x. When is R > 450?

_See printable PDF for diagram._

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Stretch

1. Define variables for: a rectangle with perimeter 106. Write an equation. ___ 2. Write an inequality: at most 93 dollars spent. ___

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Parent tip: Define variables clearly in words