Worksheets — Set 4

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 30. Write an equation. ___ 2. Write an inequality: at most 55 dollars spent. ___ 3. Revenue R = 10x. When is R > 150?

_See printable PDF for diagram._

Written practice

1. Define variables for: a rectangle with perimeter 28. Write an equation. ___ 2. Write an inequality: at most 54 dollars spent. ___ 3. Revenue R = 9x. When is R > 140? 4. Interpret the solution x = 8 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 34. Write an equation. ___ 8. Write an inequality: at most 57 dollars spent. ___

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More written practice

1. Revenue R = 12x. When is R > 170? 2. Interpret the solution x = 11 in your context. 3. Define variables for: a rectangle with perimeter 40. Write an equation. ___ 4. Write an inequality: at most 60 dollars spent. ___ 5. Revenue R = 15x. When is R > 200? 6. Interpret the solution x = 14 in your context.

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Patterns and rules

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._

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Parent tip: Define variables clearly in words