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Problems of the Day 1. 4(2a 1) 10(a 5) 2. 2( w 3) 5 3( w 1) 3. 1 2 y 3 1 y 4 4. 3 4 5 x 1 12 4 3 a=3 w=2 y = -3/2 x = 2/3 Algebra 1 ~ Chapter 3.8 Solving Equations as Formulas Solving Formulas • Some equations contain more than one variable. y = mx+b, P = a+b+c, A = ½bh • Remember that “solving” means to get the variable by itself, NOT to get a numerical answer. (x = __ ) • All rules still apply: – Undo whatever was done to the variable you are solving for – Treat all other variables that you are NOT solving for like they are numbers How to Solve Formulas Example - Solve the equation A = ½bh, for h. Ask yourself: • What is being done to h, the variable being solved for? (Turn the car around and go home….) • How do I undo what is being done? A = ½bh, solve for h 2A = (½bh)2 2A = bh b b h= 2A b Solve for h means getting h = _________ Get rid of ½ by multiplying both sides by 2. Get h alone by “undoing” bh. Divide each side by b. Example 1 Solve d = rt, for r d=r∙t t t d r t Get r = ________ Undo multiplication Example 2 Solve P = 2L + 2W, for L -2W -2W P – 2W = 2L 2 2 P 2w L 2 Get “L” by itself, L=_______ Want to get rid of the whole term 2w, so subtract 2w from both sides of the equation. Undo 2L by dividing both sides by 2. Example 3 Solve ax – c = b for x. +c +c ax = b + c a a bc x a Want to get x = __ “Undo” subtraction “Undo” multiplication Assignment • Skills Practice 3-8 (In-Class) • Pages 168-169 #'s 4-12 (all), 13-25 (odds), 31-35 (all) (Homework) • Pages 158-159 #’s 29-33 (all) (Homework) • Quiz on Sections 3-4 to 3-6 next class!!!!