Algebra 1 UNIT 2 Formulas and Functions
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Transcript of Algebra 1 UNIT 2 Formulas and Functions
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Algebra 1Algebra 1UNIT 2UNIT 2
Formulas and Formulas and FunctionsFunctions
OBJECTIVES:OBJECTIVES:1)1)Solve formulas for different variables.Solve formulas for different variables.2)2)Solve equations for y so that y is a function Solve equations for y so that y is a function of x.of x.
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Vocabulary• Formula - an algebraic equation that relates 2 or more real life quantities
• Example: V = lwh (volume of a rectangle)• Non-Example: 2x + y = 3
• Function Form – An equation solved for y so that y is a function of x.
• Example: y = -7x + 3• Non-example: -4x + 2y = 5
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Distance FormulaSolve for r in d = rt
d = rt Rewrite original formula t t Isolate r by dividing both sides
by t Example problem:
If you ride your bike for 2.5 hours and travel 37.5 miles, what is your average speed?
d rt
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Interest FormulaSolve I = prt for r.
I = prt Rewrite the original formulapt pt Isolate r by dividing by pt
Example problem:Find the rate when $2800 was invested for 4 years and earned $504 Interest.
rptI
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Area of a Prism Formula Solve for B. S = 2B + Ph
S = 2B + Ph Write original formula -Ph - Ph Subtract Ph from each side S - Ph = 2B _____________ ______
2 2 Isolate B by dividing both sides by 2
S - Ph = B 2
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Practice Problems1) lwhVwforSolve :
2) bhAbforSolve21:
wlhv
lhlwh
lhV
bhA
hbh
hA
bhA
2
212
21
12
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Rewriting an Equation in Function Form
Rewrite the equation so y is a function of x. 6y - 12x = 18
6y - 12x = 18 Rewrite the original equation
+12x +12x Add 12x to both sides6y = 12x + 18 ______ ________ ________
6 6 6 Divide both sides by 6
y = 2 x + 3
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Rewriting an Equation in Function Form
Rewrite the equation so y is a function of x. -3y + 2x = 15
-3y + 2x = 15 Rewrite the original equation -2x -2x Subtract 2x to both sides-3y = -2x + 15 ______ _______ _______
-3 -3 -3 Divide both sides by -3
532
xy
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Practice Problems1) 1234 yx 2)
434
312
34
33
441234
xy
xyxx
yx
4)2(2 xy
xy
xy
xyxy
2122
2444424)2(2