1. Bellwork Tuesday 9-16-13

2. Bellwork Solutions 9-16-14

3. Definition: Linear Equation Let a and b be real numbers such that a ≠ 0. A linear equation in one variable is an equation that can be written in the form ax + b = 0

4. Linear Equations in One Variable An equation is a statement that indicates that two quantities are equal. It must have an equal sign separating two parts. A solution to an equation is a value of the variable that makes the equation a true statement. Substituting a solution to an equation for the variable makes the right-hand side equal to the left-hand side.

5. Linear Equations in One Variable EquationSolutionCheck x = -4-4(-4) = -4 p + 3 = 118(8) + 3 = 11 -2b = -2010-2(10) = -20

6. Addition & Subtraction Properties of Equality Let a, b, and c represent real numbers. Addition property of equality: If a = b, then a + c = b + c. Subtraction property of equality: If a = b, then a - c = b - c.

7. Multiplication & Division Properties of Equality Let a, b, and c represent real numbers. Multiplication property of equality: If a = b, then a c = b c. Division property of equality: If a = b, then a/c = b/c (provided c ≠ 0).

8. Procedure for Solving a Linear Equation in One Variable Step 1: Simplify both sides of the equation. a)Clear parentheses. b)Consider clearing fractions or decimals (if any are present) by multiplying both sides of the equation by a common denominator of all terms. c)Combine like terms.

9. Procedure for Solving a Linear Equation in One Variable Step 2: Use the addition or subtraction property of equality to collect the variable terms on one side of the equation. Step 3: Use the addition or subtraction property of equality to collect the constant terms on one side of the equation.

10. Procedure for Solving a Linear Equation in One Variable Step 4: Use the multiplication or division property of equality to make the coefficient of the variable term equal to 1. Step 5: Check your answer!

11. 9-16-13 HW – Lesson 1.4 1 step equations. Solve for the variable. Show work! 1.12 + x =40 2.-3/5 p = 4/15 3.4 = w/2.2 4.-x = 6 5.-6/5 y = -3/5 6.5 = t/16 7.-a = -2

13. Bellwork9/17 Show the “check” work to see if the solution is correct. 3(y – 4) = 2y – 5 y = - 7

14. Warm Up9/18 Solve the equation: ¼ w + 1/3 w – 1 = ½ (w – 4) Remember: the fractions in this equation can be eliminated by multiplying both sides of the equation by any common multiple of the denominators.