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Section 1-3: Solving Equations Goal 1.03: Operate with algebraic expressions (polynomial, rational, complex fractions) to solve problems
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Essential Questions 1) How do I solve equations? 2) How do I solve problems by writing equations?
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Solving Equations Step 1: Simplify (combine like terms, distribute, multiply by common denominator) Step 2: Get variable on one side (add/subtract) Step 3: Multiply or Divide by coefficient Step 4: Add or Subtract constant
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Solving Equations a. 7 – 4x = -5 b. 5(3 – 2z) = 28 + 3z c. 10 – (3m + 4) = 5m + 14 d. 3n – 4 = 15 (1/3n + 2/5) e. 1/4x – 2/3 = 5/6 + x f. -6(w + 1) = 6 5
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solving literal equations Solve for x a. 3x – 4y = 8 b. d = 2x/a + b c. ax + bx – 15 = 0
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Key Words sum, total, plus, increased by, more than, difference, exceeds, less than, less, minus, decreased by, subtracted from, product multiplied by, times, twice, doubled, tripled, quotient, divided by
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Write an algebraic expression for each word expression a. $75 less than the cost of a television. b. Seven more than 3 times the number of oranges. c. The sum of the square of a number and two.
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writing equations to model and solve problems Example 5 and 6 Do Check understanding Problems 5 and 6 on p 20
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Summarizing Activity: a. Think of a number. b. Triple the number. c. Add the original number. d. Subtract 4. e. Divide by 4. f. Add 1. g. Subtract the original number.
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Classwork P 22 #30-64 Even Homework Finish classwork P. 24 #73-82
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