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Unit 1 Algebra and percentage

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Unit 1 Algebra and percentage

1. 1. Algebra Unit #1 --- 2-1 R&A Algebra Chapter 2 PowerPoint Presentation Prepared by ©2008 McGraw-Hill Ryerson Ltd. All Rights Reserved C Quinn, Seneca College.
2. 2. Algebra Unit #1 --- 2-2 Algebra R&A Formula Manipulation Both sides of the equation must be treated in exactly the same way! You can add the same number to both sides You can subtract the same number from both sides You can multiply or divide both sides by the same number or variable You can raise both sides to the same exponent ©2008 McGraw-Hill Ryerson Ltd. All Rights Reserved
3. 3. Algebra Unit #1 --- 2-3 Algebra R&A LO 2. Substitution Equation 6.1 P = \$100 principal amount Amount of interest Evaluate I = Prt r = 0.09 t = 7/12 7 Months rate of time in interest years I = \$100 * 0.09 * (7/12) I = \$100 * 0.0525 I = \$5.25 ©2008 McGraw-Hill Ryerson Ltd. All Rights Reserved Think 5.25 Use Calculator BEDM AS
4. 4. Algebra Unit #1 --- 2-4 Algebra R&A LO 2. Substitution Equation 6.2 P = \$100 Total Amount r = 0.09 t = 7/12 7 Months S = \$100 [1 + 0.09*(7/12)] S = \$100[1.0525] S = \$105.25 ©2008 McGraw-Hill Ryerson Ltd. All Rights Reserved S = P(1 + rt) Think 105.25 Use Calculator BEDMAS
5. 5. Algebra Unit #1 --- 2-5 Algebra R&A LO 2. Formula Manipulation Example S = \$105.25 Evaluate S = P(1 + rt) P = \$100 r = 0.09 t = ? We must solve for t OR First substitute the numerical values given, and then manipulate the equation to solve for t ©2008 McGraw-Hill Ryerson Ltd. All Rights Reserved First rearrange the formula to isolate t, and then substitute the given numerical values give.
6. 6. Algebra Unit #1 --- 2-6 Algebra R&A Formula Manipulation LO 2. Example Evaluate S = P(1 + rt) First rearrange the formula to isolate t, and then substitute the given numerical values give. Multiply through by P S = P(1 + rt) S = P + Prt Subtract P from both sides S - P = Prt (S – P) / Pr = Prt/Pr Divide both sides by Pr (S – P) / Pr = t Now substitute ©2008 McGraw-Hill Ryerson Ltd. All Rights Reserved
7. 7. Algebra Unit #1 --- 2-7 Algebra R&A LO 2. Formula Manipulation Example continued…. t = (S-P) / Pr S = \$105.25 P = \$100 r = 0.09 Now substitute t = (105.25 -100) / 100*0.09 t = .5833 years t = 7 months ©2008 McGraw-Hill Ryerson Ltd. All Rights Reserved Multiply by 12 to change years to months