Section 1-3: Solving Equations Goal 1.03: Operate with algebraic expressions (polynomial, rational, complex fractions) to solve problems

Essential Questions 1) How do I solve equations? 2) How do I solve problems by writing equations?

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

Solving Equations a. 7 – 4x = -5 b. 5(3 – 2z) = z 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

solving literal equations Solve for x a. 3x – 4y = 8 b. d = 2x/a + b c. ax + bx – 15 = 0

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

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.

writing equations to model and solve problems Example 5 and 6 Do Check understanding Problems 5 and 6 on p 20

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.

Classwork P 22 #30-64 Even Homework Finish classwork P. 24 #73-82