L.83
L.84/85
L.85/88/101
L.101/105
L.86/Inv. 12 SA
1
L.83#1. Define ratio.
The comparison of 2 values.
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L.84#6. What is the acronym for the order of operations that is used throughout the world?
Please Excuse My Dear Aunt Sally
(). e2 x. /. +. -
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L.85#11. Use cross products to complete this proportion:
12/16 = y/20
12 * 20 = 240
16 * y = 240
240 / 16 = y = 15
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L.101#16. In a group of 33 swimmers, the ratio of swimmers with floaties to those without was 4 to 7. How many swimmers were without floaties? Show the ratio box with 6 positions too!
21 without floaties
4/7/11 = F/W/33
k factor = 3; 7 * 3 = 21
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L.86#21. A circle has a radius of 3 cm. What would be the size of its "measuring box?"
9 square cm
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L.83#2. What is a proportion?
A statement that 2 ratios are equivalent.
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L.84#7. P E (M D)(A S) includes the idea that multiplication and division as well as addition and subtraction are treated a certain way when they're together within the same problem. What is this certain way that they're treated?
Solve in order from left to right!
Ex: 8 - 7 + 6
= 8-7 = 1+6 = 7
-vs.-
= 8 - (7+6) = 8 - 13 = -5
2
L.88#12. If 3 sacks of concrete will make 12 square feet of sidewalk, predict how many sacks of concrete are needed to make 40 square feet of sidewalk. Write a proportion and solve it to satisfy this question.
3/12 = C/40
40 * 3 = 120 / 12 = 10
10 sacks of concrete
2
L.101 #17. A team's win loss ratio was 3 to 2. If the team had played 20 games without a tie, how many games had it won? Show the ratio box with 6 positions and solve this!
12 wins
3/2/5 = W/L/20
k factor = 4
3 * 4 = 12
2
L.86#22. A circle has a radius of 6 miles. What is its area? Show your work!
A = pi (r)2
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L.83#3. A ratio can be written in these 3 primary ways.
Fraction, Colon, With the word to
1/2; 1:2; 1 to 2
3
L.84#8. 2(10) + 2(6) - 8
24
2(10) = 20
+ 2(6) = 12
20 + 12 = 32 - 8 = 24
3
L.88#13. The ratio of adults to students on the field trip is 3 to 5. If there are 15 students on the field trip, how many adults are there? Show your proportion and solve it to satisfy this question.
3/5 = A/15
K factor if 5 * 3 = 15 then
3 * 3 = 9 adults
3
L.105#18. Only 40% of the team members played vs. Canada. If 24 team members did NOT play, then how many did play? Show your work!
16 members played
40/60/100 = P/24/Total
40 * 24 = 960 / 60 = 16
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L.86#23. A circular kiddie pool is 10 feet across. How big would a tarp have to be to cover its surface? Show your work!
78.5 square feet
diameter = 10 feet; radius = 5 feet
A = pi (r)2
A = 3.14 (5)2
A = 3.14 (25) = 78.5
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L.83#4. Which of the following is NOT a method for finding that 2 ratios are proportional?
A). Cross Products B). Fish Method
C). Multiply by the Reciprocal D). Reduce to lowest terms
E). K factor
C). Multiply by the Reciprocal
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L.85#9. Prove that these ratios are NOT equivalent using cross products
15/21. and 45/70
15 * 70 = 1050
45 * 21 = 945
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L.88#14. The ratio of 5 hawks to 8 pigeons is present near the Main Street bridge. If there are actually 100 pigeons, how many hawks would be proportional? Give the proportion that could be used to solve this as well as the answer that satisfies this question. (Round your answer to the nearest hawk)
5/8 = H/100
5 * 100 = 500 / 8 = H
H = 62.5 = 63 hawks
4
L.105#19. An airline sold 25% of the seats on the plane at a discount. If 45 seats were sold at discount, how many total seats were on the plane? Show your work!
180 seats
25/75/100 = 45/N/Total
25/100 = 45/T
45 * 100 = 4500 / 25 = 180
4
Inv. 12#24. If you wished to color the outside of this shoe box, how much marker would be needed? Show your work!
20,800 square cm
top/bot = 80 * 60 * 2 = 9600
front/back = 80 * 40 * 2 = 6400
right/left = 60 * 40 * 2 = 4800
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L.83#5. Which of the following ratios are proportional to 3/7? (Name all that apply!)
21/49. 300/700. 28/63. 6/14.
21/49
300/700
6/14
5
L.85#10. Use cross products to determine whether these ratios are proportional or not. Be sure to include your cross products.
5/11 and 6/13
Not proportional.
5 * 13 = 65
11 * 6 = 66
5
L.101#15. Marbles in a bag are in the ratio of 3 reds for every 2 yellows. If there are 60 marbles total, how many of each color would there be? Show the ratio box with 6 positions and solve for each color.
3/2/5 = R/Y/60
36 reds, 24 yellows
k factor = 12
3 * 12 = 36; 2 * 12 = 24
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L.105#20. Buying the shoes on sale, Nathan paid $45.60. This was 60% of the full price. What was the full price? Show your work!
$76 = full price
60/40/100 = 45.60/N/T
60/100 = 45.60/T
45.60 * 100 = 4560 / 60 = 76
5
Inv. 12 #25. A triangular pup tent needs be covered with a mosquito mesh sleeve (all the way around, including the floor). Given these dimensions, how big would it need to be? (6 feet wide, 5 feet high, 9 feet deep, 7 feet diagonals) Show your work!
210 square feet
Bottom = 9 * 6 = 54
L/R = 9 * 7 * 2 = 126
F/B = 6 * 5 / 2 = 15 * 2 = 30