Putting it all together
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This document provides steps for solving algebraic equations involving grouping terms and removing brackets: 1) Model the problem by identifying groups of terms; 2) Remove brackets using the distributive law; 3) Eliminate fractions by finding a common denominator; 4) Group all variable terms on one side and constant terms on the other; 5) Isolate the variable by dividing both sides by its coefficient. The steps are demonstrated through examples of solving equations.
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- 1. Putting it all together Busting up brackets again
- 2. Model:
- 3. Model: TWO groups of 4x - 1
- 4. Model:
- 5. Solve:
- 6. Solve:
- 7. Left side Right Side Check: −14
- 8. Try this one: Model and solve Means the opposite of two groups of 3n -1
- 10. Check:
- 11. Last One:
- 12. Last One:
- 13. Remove brackets (use distributive law) Eliminate fractions (use common denominator) Group all variable terms on one side (zero pairs) Group all constants on one side (zero pairs) Isolate variable (divide by coefficient)