Worksheets — Set 20

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 62. Write an equation. ___ 2. Write an inequality: at most 71 dollars spent. ___ 3. Revenue R = 26x. When is R > 310?

_See printable PDF for diagram._

Written practice

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? 4. Interpret the solution x = 24 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 66. Write an equation. ___ 8. Write an inequality: at most 73 dollars spent. ___

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More written practice

1. Revenue R = 28x. When is R > 330? 2. Interpret the solution x = 27 in your context. 3. Define variables for: a rectangle with perimeter 72. Write an equation. ___ 4. Write an inequality: at most 76 dollars spent. ___ 5. Revenue R = 31x. When is R > 360? 6. Interpret the solution x = 30 in your context.

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Patterns and rules

1. Define variables for: a rectangle with perimeter 94. Write an equation. ___ 2. Write an inequality: at most 87 dollars spent. ___ 3. Revenue R = 42x. When is R > 470?

_See printable PDF for diagram._

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Stretch

1. Define variables for: a rectangle with perimeter 110. Write an equation. ___ 2. Write an inequality: at most 95 dollars spent. ___

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Parent tip: Define variables clearly in words