Worksheets — Set 16

Algebra I · Quadratic expressions and factoring (intro)

Print and write your answers. Use diagrams to show thinking.

Warm-up

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?

_See printable PDF for diagram._

Written practice

1. Define variables for: a rectangle with perimeter 52. Write an equation. ___ 2. Write an inequality: at most 66 dollars spent. ___ 3. Revenue R = 21x. When is R > 260? 4. Interpret the solution x = 20 in your context. 5. Is a negative solution reasonable? Explain. 6. Create a modeling equation for Quadratic expressions and factoring (intro). 7. Define variables for: a rectangle with perimeter 58. Write an equation. ___ 8. Write an inequality: at most 69 dollars spent. ___

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More written practice

1. Revenue R = 24x. When is R > 290? 2. Interpret the solution x = 23 in your context. 3. Define variables for: a rectangle with perimeter 64. Write an equation. ___ 4. Write an inequality: at most 72 dollars spent. ___ 5. Revenue R = 27x. When is R > 320? 6. Interpret the solution x = 26 in your context.

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Patterns and rules

1. Define variables for: a rectangle with perimeter 86. Write an equation. ___ 2. Write an inequality: at most 83 dollars spent. ___ 3. Revenue R = 38x. When is R > 430?

_See printable PDF for diagram._

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Stretch

1. Define variables for: a rectangle with perimeter 102. Write an equation. ___ 2. Write an inequality: at most 91 dollars spent. ___

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Parent tip: Define variables clearly in words