Rate. Ratio. Percent. Proportion. Score + /15 X = 42words 1min. Period: Date: 4 adults per car How many cars to take _24_ people?

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1 Cahsee reviews Rate 4 adults per car How many cars to take _24_ people? Name: Ratio 42 words per minute If Marcus types for 30 minutes, how many words can he type? Proportion --use cross-multiply to solve 42words x? 1min ute 30 min utes X = There are 2 girls to 6 boys which is the same as 2 1 or 6 3 Percent Complete & check answers Score + /15

2 Cahsee reviews Score + /4 Name: Percent An item costs $15. The sales tax is 6%. What is the cost of the item after taxes? video Solve: More percent A pair of jeans sells for $24. They are on sale for 25% off. What is the sale price? Solve: Cost of a child movie ticket last year was $4.00. This year it costs $5.00. What is the percent increase from last year to this year? Solve: Math reviews PERCENT MIXTURE PROBLEM How many pounds of dogfood that is 50% rice must be mixed with 400 pounds of dogfood that is 80% rice to make a dogfood that is 75% rice? amount 50% 80% 75% Answer: + = PERCENT MIXTURE PROBLEM Five pounds of candy that is 20% chocolate is combined with a candy that is 40% chocolate. How many pounds of the candy that is 40% chocolate should be used to get a candy that is 25% chocolate? candy 20% 40% 25% + =

3 Cahsee reviews Use 6, -37, -9, 6, 109, -3 Mean -average sum of values # of values 72 = 12 6 Name: Median -middle = put in order first (-3 + 6) 2 = 1.5 Mode -most often = the most common value(s) : 6 Range biggest-smallest = maximum minimum = 146

4 Cahsee reviews Exponents ----Any thing to the zero power is equal to = 1 Name: Add/Subtract ----must have the same base A m A m = A m + n 5 0 = 1 or x 0 = 1 or ( ) 0 = 1 Negative exponent ----flip it! Multiply ----when you have power on power (A m ) n = A m n Cahsee reviews Radical NO perfect square under square root sign Don t leave in the denominator (bottom) ESTIMATE SQ. ROOT 47 between _ and_?? 85 between _ and_?? 124 between _ and_?? Name: POPULAR ROOTs Same with variables x x ; m 2m??? 6 3 ; x y 32a 2 bc a bc c c c c = 4ac 2b?

5 Cahsee reviews NS part 1 Name: Number sense part = = = -11 Fractionals keep the same denominator Adding: Subtracting: Fractionals must have the same denom Fractionals Adding: Subtracting:2 3 8 or Adding: Subtracting: Cahsee reviews NS part 2 Name: Number sense part = = 620 Negative exponent moves LEFT & vice versa Reciprocal flip it only ex: a 1 a or 7x 2 7x 2 Negative Reciprocal --flip & opposite sign --slope of perpendicular lines ex: 2 3 and 3 2 Absolute value -- value = positive unless the sign is on the outside Ex: 5 5 but 5 5

6 Cahsee reviews Graphs --linear y = x or y = x --quadratic y = x 2 or y = x 2 --odd-exponent y = x 3 or y = x 3 Name: Shapes of graph u- shape v- shape corner2corner flat middle? Equation forms --slope-intercept: y = mx +b ex: y = 2x 5 --standard form: ax + by = c ex: 2x + y = -5 Can you draw these shapes? y = -x? y = - x? y = -x 2? y = -x 3? Positive m: go up from left to right Cahsee reviews Name: Perimeter --add all sides around (outside only) example: putting up a fence Area -always unit 2 - Rectangle / square / most is Area = base height base height - Triangle is Area 2 Volume -always unit 3 - Most time is Volume = l w h example: soup in container Purpose for Surface Area: calculate enough aluminum for a can or wrap a box. See WS STATE THE PERIMETER, AREA, VOLUME, BASE, SIDE for more example and practice

7 WRITE DOWn problems you want to learn/remember to solve from pretest (posttest) Math Reviews Booklet Complete ALL sections then turn in for full credit! If you miss any session in class, go to website below to copy/print: Rate, Ratio, Proportion, Percent 4 points o Exercise # pts Percent word problem & % Mixture problems 4 pts Mean, Median, Mode, Range 4 pts + Number Sense part 1 [+/- with fraction & mixed #s] 4 pts Number Sense part 2 [scientific notation, reciprocal vs. negative recip., value ] 4 pts Exponents Laws [add, subtract, multiply, zero, negative exponents] 4 pts o WS One in the Hand is Worth 2 in the Bush 10 pts Radical, Popular Roots, Estimate Roots 4 pts Graphs, Shapes of Graphs, Equation forms 4 pts Perimeter, Area, Volume 4 pts o Area - Compound Shapes problem # pts o WS State the Perimeter, Area, Volume, Base, Side 10 pts Grade C = 54 + pts & B = 60 + pts & A = 68 + pts Total = 72 + points possible My point is :

8 Read & answer the following problems (worksheet)

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12 Name Period Date Math Reviews booklet 2006, A 2 Score + /38 WS: One in the Hand is Worth 2 in the Bush Multiplication of Monomials Connect-the-Dots Puzzles Perform the indicated operations. In order, connect the dots for the answers. [glue this side up] 1. (2x) 2 = 2. (-3x)(4x) = 3. (4x) (2x) = 4. (-3x) 2 (2x) = 5. (4x)(5x 2 ) = 6. (-2x)(-3x 3 ) = 7. (x 2 )(x 3 )(x) = 8. (5x)(3xy) 2 = 9. x 5 x x y 3 = 10. (4x 2 y) (2xy) = 11. (5x 2 y) (25x 2 y 3 ) = 12. 2x 2 + 2y 2 = 13. 2xy + 2yx = 14. (-3xy)(-6xy 2 ) = 15. (3x) 2 (4xy) = 16. (5x 2 ) 2 (-2x) = 17. (4xyz 2 ) 2 (3x 2 y) = 18. (-2x 5 ) 2 = 19. (2xy)(-3xy) = 20. (3ab 2 )(2ab) 2 = 21. (3a -2 )(a 3 b) =

13 22. (5x 3 )(2x 3 ) = 23. (3xy 2 )(-3x) = 24. (4x) 0 = 25. (a 3 ) 2 = 26. (4x 2 ) 2 = 27. (3x 2 ) 3 = 28. (-9x 4 )(xy) 2 (x -4 ) = 29. (36x 4 ) (2x) = 30. (2x -4 )(x 4 ) = 31. (2x 2 ) 3 (2x -2 ) = 32. (2x 4 )(x -4 ) = 33. (x)(x -2 ) = 34. (x 2 ) 2 = 35. (x 2 ) 2 (x 3 ) = 36. (2x 2 ) 3 (x) = 37. (3x) 2 (x 3 ) = 38. Circle this answer. 5(2a) 3 (4a) 2 ) = Copy this on the right-side of your Math Reviews booklet Check the answers you completed on the ws and write in your score: Score + /38 Exponents ----Any thing to the zero power is equal to = 1 Add/Subtract ----must have the same base A m A m = A m + n 5 0 = 1 or x 0 = 1 or ( ) 0 = 1 Negative exponent ----flip it! Multiply ----when you have power on power (A m ) n = A m n

14 Name Period 2007, A. Azzolino WS: STATE THE PERIMETER, AREA, VOLUME, BASE, SIDE. Formulas More formulas

15 Connect the answers in order. 1. The area of a rectangle with a base of 4 in. and a height of 3 in. 2. The perimeter of a 2 in. by 4 in. rectangle. 3. The volume of a square pyramid, 3 in. by 3 in. by 4 in. 4. The volume of a hexagonal pyramid having a base area of 75 sq. in. and a height of 10 in. 5. The volume of a prism that is 2cm by 2cm by 5 cm. 6. The area of a trapezoid with bases 3 and 11 ft. and a height of 2 ft. 7. The area of a parallelogram that is 4 cm in height and has a base of 5 cm. 8. The volume of a pyramid with a 2 in by 3 in base that is 6 in tall. 9. The perimeter of a square 5 m on a side. 10. The volume of a rectangular pyramid with length, width, and height of 3 cm, 5 cm, and 4 cm. 11. The perimeter of a rectangle 12 yards by 8 yards. 12. The area of a triangle with a base of 8 yd. and a height of 10 yd. 13. The perimeter of a circle radius 1 inch. 14. The area of a triangle with a base of 8 in., and a height of 3 in. 15. The perimeter of a square whose area is 36 sq. in. 16. The area of in. right triangle.

16 Answer Connect the answers in order sq in. The area of a rectangle with a base of 4 in. and a height of 3 in in. The perimeter of a 2 in. by 4 in. rectangle cu. in. The volume of a square pyramid, 4 in. by 4 in. by 3 in cu. in. The volume of a hexagonal pyramid having a base area of 75 sq. in. and a height of 10 in cm 3 The volume of a prism that is 2cm by 2cm by 5 cm sq. ft. The area of a trapezoid with bases 3 and 11 ft. and a height of 2 ft cm² The area of a parallelogram that is 4 cm in height and has a base of 5 cm cu. in. The volume of a pyramid with a 2 in by 3 in base that is 6 in tall m The perimeter of a square 5 m on a side cm 3 The volume of a rectangular pyramid with length, width, and height of 3 cm, 5 cm, and 4 cm yards The perimeter of a rectangle 2 1/2 yards by 8 yards sq. yd. The area of a triangle with a base of 8 yd. and a height of 10 yd in. The perimeter of a circle radius 1 inch sq in. The area of a triangle with a base of 8 in., and a height of 3 in inches The perimeter of a square whose area is 36 sq. in sq. in. The area of 3 in. by 4 in. by 5 in. triangle cu. in. The volume of a pyramid with base sides of 4 in. and 3 in., and a height of 6 in in. The circumference of a circle with a 1 inch radius m 3 The volume of a square pyramid with a height of 3m and a 4 m by 4 m base in. The base of rectangle with an area of 48 sq. in. and height of 4 in sq. in. The area of a circle with a radius of 1 in cu. in. The volume of a 5 x 5 x10 in. prism in The side of a square whose area is 16 sq. in sq. in. The area of a circle with diameter of 8 in in. The circumference of a circle with diameter of 1 in sq in. The area of a triangle with a height of 8 in. and a base of 3 in yards The height of triangle with an area of 240 sq. yd and a base of 12 yd sq. in. The area of a circle with a radius of 4 in.