T EACHER N OTES The warm up works on the distribution property, but also use it to talk about un-distribution basically going backwards factoring out the.

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T EACHER N OTES The warm up works on the distribution property, but also use it to talk about un-distribution basically going backwards factoring out the GCF. This will help in the Examples The examples are all from section 3.8 of the Algebra 1 book and Homework is out of the Workbook Slides 4, 7, and 12 are the worked out examples, and slide 16 is the challenge problem. May want to consider printing those out for their notebook. We quiz Thurs., if you are behind you may want to print all of it out to save time. The challenge problem comes from p.189 #37

S TANDARD AND LEARNING TARGET A.CED.A.4-1 Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations, limiting variables of interest to linear and quadratic. For example, rearrange Ohm’s law V = IR to highlight resistance R. *(Modeling Standard) I can solve literal equations using the same processes used in solving equations. I can solve real-world formulas limited to linear and quadratic variables.

W ARM U P Use the distributive property ( x + 2) 2. ½ (8x – 7) REVERSE: Greatest Common Factor 3. 4x x + 10

R EWRITING E QUATIONS AA1.CC

W ORKED OUT E XAMPLE Why is putting the equation in this form advantageous for us when graphing? Which means to solve for y with x represented on the other side of the = sign as part of a relationship between the y and the x.

E X.1 S OLVE FOR Y IN TERMS OF X. b y = 3x + 4

P RACTICE ! 8x – 5x + 21 = 36 – 6y Solve for y in terms of x.

W ORKED OUT E XAMPLE

a) a – bx = cb) ax = bx + c E X.2 S OLVE THE EQUATION FOR X.

P RACTICE ! Solve the equation for x.

a)b) E RROR ANALYSIS P RACTICE ! W HY IS THEIR ANSWER NOT CORRECT ??

I MPORTANT F ORMULAS !

W ORKED OUT E XAMPLE

a.Solve for t. I = Prt b. Solve for r. d = rt E X.4 R EWRITING F ORMULAS !

a. Solve for w. (Volume of a rectangular prism) V = lwh b. Solve for h. (Surface area of a prism) S = 2B + Ph P RACTICE !

The formula for the perimeter of a rectangle is: E X.5 S OLVE THE FORMULA FOR W. Use the formula to find the width of the rectangle shown below.

The distance d (in miles) traveled by a car is given by d = 55t where t is the time (in hours) the car has traveled. The distance d (in miles) traveled is also given by d = 20g where g is the number of gallons of gasoline used by the car. Write an equation that expresses g as a function of t. C HALLENGE !

H OMEWORK Red Workbook p #2-12 even; all