2. FORMULAS

3. Definitions Area Perimeter/Circumference Surface Area Volume Distance / Rate Simple Interest Density

4. Distance = Rate x Time How far did you travel if you drove at a rate of 60 miles per hour for 5 hours? D = rt D = 60 x 5 D = 300 Answer: 300 miles

5. Time = Distance / Rate How much time did it take for you to travel 300 miles at a rate of 60 miles per hour? T = D/r T = 300 / 50 D = 5 Answer: 5 hours

6. D = rt Find D if r = 12 and t = 8 Find r if D = 240 and t = 8 D = rt D = 12 x 8 D = 96 D = rt 240 = r x 8 Solve backwards 240 / 8 = r 30 = r D = rt 240 = 8r 8 8 30 = r

8. Simple Interest I = PRT Interest = Principle x Rate x Time How much interest would you make if you deposited $500 at the bank at a rate of 10% per year for 4 years? I = 500 x.10 x 4 I = $200

9. Simple Interest I = PRT Interest = Principle x Rate x Time How much time did you keep your money in the bank if you made $400 in interest at a rate of 5% with an initial deposit of $800 ( principle)? 400 = 800 x.05 x t 400 = 40 x t 400 / 40 = 10 years

10. Simple Interest I = PRT How much time did you keep your money in the bank if you made $400 in interest at a rate of 5% with an initial deposit of $800 ( principle)? I = PRT 400 = 800 x.05 x t 400 = 40 t 40 40 10 = t

12. Circumference of a Circle PI TIMES DIAMETER PI TIMES DOUBLE THE RADIUS 3.14 d

13. Circumference of a Circle C = 3.14 d 31.4 unitsFind C if d = 10 Find C if d = 5 15.7 units Find C if r = 5 31.4 units

14. Circumference of a Circle C = 3.14 d 20 unitsFind d if C = 400 Substitute 400 for C Solve backwards 3.14 times what is 400 Divide 400 by 3.14 C = 3.14 d 400 = 3.14 d 3.14 20 = d

15. Area of a Circle PI TIMES RADIUS TO SECOND POWER A = 3.14 r 2 A = 3.14 x r x r

17. Area of a Circle A = 3.14 r 2 Find A if r = 10314 square units Find A if r = 5 78.5 square units Find A if r = 201256 square units

18. Area of a Circle A = 3.14 r 2 Find r if A = 2826 sq units30 units 2826 = 3.14 x r 2 Work backwards Undo operations Step by step Divide by 3.14 Square Root A = 3.14 r 2 2826= 3.14 r 2 3.14 900 = r 2 30 = r

20. Surface Area of a Rectangular Prism SA is double the area of the front + double the area of the side + double the area of the top SA = 2 lw + 2 lh + 2 wh

21. L = 10 cm W = 5 cm H = 6 cm SA = 280 square centimeters

22. 10 cm 5 cm 6 cm SA = 280 square centimeters SA = 2lw + 2lh + 2wh SA = 2*10*5 + 2*10*6 + 2*5*6 SA = 100 + 120 + 60 Hint: use every combination Surface Area

24. Volume of a Rectangular Prism V = lwh L = 25 inches W = 4 inches H = 6 inches 600 cubic inches

25. Volume 25 inches 4 inches 6 inches 600 cubic inches V = lwh V = 25 * 4 * 6 V = 600 cubic inches

26. Volume of a Rectangular Prism

27. Density = Mass / Volume Take a look at the two boxes above. Each box has the same volume. If each ball has the same mass, which box would weigh more? Why? The box that has more balls has more mass per unit of volume. This property of matter is called density. The density of a material helps to distinguish it from other materials. Since mass is usually expressed in grams and volume in cubic centimeters, density is expressed in grams/cubic centimeter.

28. Density = Mass / Volume 4 cm 6 cm 5 cm 2.Calculate Mass: Each marble weighs 10 grams Box 1 contains 24 marbles Box 2 contains 12 marbles V = 120 cc M = 240 g M = 120 g 1. Calculate Volume: V = lwh

29. Density = Mass / Volume 4 cm 6 cm 5 cm Calculate Density: Volume = 120 cc Mass 1 = 250 g Mass 2 = 130 g D = 2 D = 1 Calculate Density: D = M/V D = 240/120 D = 120/120