SOLVINGONE-STEPEQUATIONS-MsTurksAlgebraIClass解决一次方程-MS土耳其人的代数I类.ppt

1、SOLVING ONE-STEP EQUATIONS,DAY TWO Ms. Turk, Algebra I Unit 2-1,Solving One-Step EquationsWith Multiplication & Division,Multiplication and division are inverse operations. In other words, they undo each other. When you solve an equation involving division, multiply each side of the equation by the

2、same number,Example 1: Multiplication,4)(-4) x = 45.6,Multiply each side of the equation by -4 in order to isolate the variable on one side of the equation. Simplify,Example 2: Multiplication,10) (10) x = 34,Multiply each side of the equation by 10 to get the variable on one side of the equation. Si

3、mplify,Example 3: Multiplication,12) (12) m = 30,Did you multiply both sides by 12? Then did you simplify,Try one on your own,Example 4: Division,5x 5 = 35 5,Divide both sides of the equation by 5 to isolate the variable on one side. Simplify,5x = 35,x = 7,Example 5: Division,10 x 10 = 125 10,Divide

4、 both sides by 10 to get x by itself on one side of the equation. Simplify,10 x = 125,x = 12.5,Example 6: Division,Try one on your own,6.5x 6.5 = 195 6.5,Did you divide both sides by 6.5? Then did you simplify,6.5x = 195,x = 30,Real World Problem Solving,Suppose you work part-time at the city librar

5、y. You earn $145.35 for 19 hours of work. What is your hourly wage? Write and solve an algebraic equation to solve this problem,Wages,Real World Problem Solving,Relate: Define: Write,Number of hours worked times wage equals total earnings. Let w = wage. 19 w = 145.35,Real World Problem Solving,19w =

6、 145.35 19 19 w = 7.65 Your hourly wage is $7.65,Now you try,Your bill for car repair is $321.00. One third of the bill is for labor. Write and solve an equation to solve for the cost of labor,Car Repair,Now you try,Relate: Define: Write,The repair bill divided by three equals the cost of labor. Let c = cost of labor 321 = c 3,Now you try,321 = c 3 c = 107 The cost of labor is $107.00,Practice Problems,2x = 17 18x = 70 x/2 = 100 x/3.5 = 12 4.2x = 20,8.5) (3.89) (200) (42) (4.76,Please take a few moments to complete the follo