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Daily Homework Quiz Simplify the expression. 1. ()() 7+t6 – 4 – t 9 2. 14b+20a – 8b8b – 15a ANSWER 72 ANSWER 6b6b+5a5a– 3t3t78 – 3.Evaluate when 2x2x ()2)2 21+5x5x –– x = 3.3. – Warm Up

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1.4 Solving Linear Equations

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Equation : A statement in which two expressions are equal Solution of an Equation: A number that produces a true statement when substituted for the variable in the equation Vocabulary

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To solve an Equation with 1 variable: Isolate the variable by reversing the Order of Operation.

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Solve a One-Step Equation Example 1 Isolate the variable on one side of the equation. SOLUTION Solve x 8 12. – = – 12 = 8x Write original equation. CHECK Substitute 20 for x in the original equation. =8+ 8+ Add 8 to each side. 20 = x Simplify. 12 = Solution checks. – 12820 Substitute 20 for x. = ?

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Solve a Multi-Step Equation Example 2 Solve 3x3x – +6 12. – = SOLUTION 3x3x–+612– = Write original equation. Subtract 6 from each side to isolate the variable. x6 = Simplify. –3x3x18– = –3–3 Divide each side by 3. – ANSWER The solution is 6. Check x 6 in the original equation. = -6

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Solve an Equation with Variables on Both Sides Example 3 Solve 3p3p+7 1.1. – = 5p5p -3p 7 = 2p - 1 +1 +1 8 = 2p 2 4 = p Since you have p terms on both sides of the equation, get rid of the smaller p term

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Solve the equation. Check your solution. Checkpoint 7 – = 4 t 1. ANSWER 28– 5n5n1– 9 = 2. ANSWER 2 8 + 2m2m5– m = 3. 37r7r6– 2r2r = 4. + 9– ANSWER 5 3 – Solve Equations

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Homework 1.4 p.29 #24-54 X3

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