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Advanced Algebra - Trigonometry Objective: SWBAT solve linear equations. 1 Warm Up Simplify: 1. 8b - 3( 4 – b ) 2. -6 (m – 9) + 14m – 20 3. 2 (b + 5) + 3 (2b – 10) 4. -w3 + w2 - 7 w2 - 8w3 5. 7t (t2 + 2) + 9t (t – 2) 2 Vocabulary 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) 3 Which of the following are a linear equations? a. 3x - 7=12 b. 24x + 5 = 5(x – 2) c. 2x - 7x2 + 4x3 = 19 d. 12x + 3= -4x-8 e. 4 5 x + 8 = 20 f. 1 𝑥 = −8 4 Solve an equation with variable on one side. 2 x7 5 3 5 Solve an equation with variable on both sides. Solve: 8y – 16 = 13y + 9 6 Solve an equation using the distributive property. Solve: 5a + 3(a + 2) = 22. 7 Solve an equation using the distributive property. Solve: 4(2x – 9) + 5x = -3(10 – x) 8 Homework Worksheet # 1- 9 9