Worksheets — Set 17

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 56. Write an equation. ___ 2. Write an inequality: at most 68 dollars spent. ___ 3. Revenue R = 23x. When is R > 280?

_See printable PDF for diagram._

Written practice

1. Define variables for: a rectangle with perimeter 54. Write an equation. ___ 2. Write an inequality: at most 67 dollars spent. ___ 3. Revenue R = 22x. When is R > 270? 4. Interpret the solution x = 21 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 60. Write an equation. ___ 8. Write an inequality: at most 70 dollars spent. ___

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More written practice

1. Revenue R = 25x. When is R > 300? 2. Interpret the solution x = 24 in your context. 3. Define variables for: a rectangle with perimeter 66. Write an equation. ___ 4. Write an inequality: at most 73 dollars spent. ___ 5. Revenue R = 28x. When is R > 330? 6. Interpret the solution x = 27 in your context.

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Patterns and rules

1. Define variables for: a rectangle with perimeter 88. Write an equation. ___ 2. Write an inequality: at most 84 dollars spent. ___ 3. Revenue R = 39x. When is R > 440?

_See printable PDF for diagram._

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Stretch

1. Define variables for: a rectangle with perimeter 104. Write an equation. ___ 2. Write an inequality: at most 92 dollars spent. ___

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Parent tip: Define variables clearly in words