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Advanced Algebra - Trigonometry

Advanced Algebra - Trigonometry. Objective: SWBAT solve linear equations. Simplify: 8b - 3( 4 – b ) -6 (m – 9) + 14m – 20 2 (b + 5) + 3 (2b – 10) -w 3 + w 2 - 7 w 2 - 8 w 3 7t (t 2 + 2) + 9t (t – 2). Warm Up. Equation : a statement that two expressions are equal.

uriah-reilly
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Advanced Algebra - Trigonometry

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  1. Advanced Algebra - Trigonometry Objective: SWBAT solve linear equations.

  2. Simplify: • 8b - 3( 4 – b ) • -6 (m – 9) + 14m – 20 • 2 (b + 5) + 3 (2b – 10) • -w3 + w2 - 7w2 - 8w3 • 7t (t2 + 2) + 9t (t – 2) Warm Up

  3. Equation: a statement that two expressions are equal. Ex. x + 2 = 9, x2– 4x +10 = 0, Solution: all numbers that make an equation true. Solution Set: the set of all the solutions of an or condition. Equivalent Equations: equations with the same solution set Ex. x + 1 = 5 and 6x + 3 = 27 Linear Equation: a linear equation in one variable has the form ax + b = c (aka first degree equation) Vocabulary

  4. 3x - 7=12 b. 24x + 5 = 5(x – 2) • 2x - 7x2 + 4x3 = 19d. 12x + 3= -4x-8 e. f. Which of the following are a linear equations?

  5. Solve an equation with variable on one side.

  6. Solve: 8y – 16 = 13y + 9 Solve an equation with variable on both sides.

  7. Solve: 4(2x – 9) + 5x = -3(10 – x) Solve an equation using the distributive property.

  8. Solve: Solve an equation with clearing a fraction.

  9. Identity: an equation that is satisfied by every number Conditional Equation: an equation that is satisfied by some numbers but not others Contradiction: an equation that has no solution and the solution set is an empty set or null set. {0}. Additional Vocabulary

  10. Decide whether each equation is an identity, a conditional equation, or a contradiction. Give the solution set. a. -2(x + 4) + 3x = x – 8 b. 5x – 4 = 11 c. 3(3x-1) = 9x +7 Identify the Type of Equation.

  11. Page 440 – Appendix A # 2-22 evens Homework.

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