7R Final Exam Review Packet (WITH ANSWERS).notebook June 08, 2016

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1 Answer Key > > > < < 9, 5,, 0,, (any fraction or decimal) same as # (0 ) (00) 00 ( ( 40) 40 (9) 9 the opposite of squared 9 negative squared 9

2 x 5 x 5 feet below sea level ( 8) x 0 x 0 degree difference x 7 x

3 plums 6 peaches 7 blue 5 marbles

4 ; 6.6; 6.7; 6.75 < 0 >.0 >

5 ( ) (.6) + ( ) ( ) + ( )

6 ( ( ( ( n + n + 7 5x y 0 (n ) ( + x) x + 7 5x y x y 7 5x x y y 5 7 4a 0b 8 a 7 4a a

7 0x + 0 0x 0 0x 0 0x + 0 xy + xz xy + xz xy + xz xy + xz 7x + y + 5z y + 9z 7 5x + 8y 6 a b y 7 y 7y 7 GCF: 5 GCF: x GCF: 4 GCF: 4y GCF: x GCF: 5 GCF: 5 x ( y) 5 ( m + 0) 5 (a 4b + c) 6x + 8 6(x + ) 9x + 7y 9(x + y) 8x 6x x + 0 (x + 5)

8 4c c c -4 x x - x -5 m m m 0 8z z z ** Checks for #'s 4 on Next Slide **

9 check # 4c - 6? 4-6? 8-6 check # -4 x -? ? check # -5 m - 4? -5-4? check #4 0 8z + 8? ?

10 - 4-5x x -5-5 x x x. x.6 - x x x m m m x x x -4 6x + 6 0x + 0-0x - 0x -4x x x -6 x x 5 x 7 or 7.5-5y y y x x x -9 x 9

11

12 No Yes No Yes x > - x x x > x > 4-0.9x > x < x < x - 7 5x x x n -5-5x - 5x x x - x -4 0x x 0x

13 ( ( n + 4 (n 6) < 9 n 7 4n x ( ( ( ( (n + 9) < 7 6(x ) > 4 4x x 4 5 x x > 8

14 6x 44 8x x 9 x 5 Yes? (x+4) 0 x x 8 No 7? 4 5 7? 0 x 6 7 n n, x red blood cells would be expected..5 0 n n 5 x 5 The actual distance to the food court is 5 m. Length: 4 6 n n 4 n 4 Width: 6 n n 8 n 8 Length 4ft Width 8 ft

15 0 quarts shortcakes quarts/ shortcake 6 inches inches/ week weeks 5 $5 4 hours $6.5/ hour $ $0.75/ pound 0 pounds $ $0.76/ pound 50 pounds The 0 pound bag is a better buy because it costs less per pound. $ $.5/ CD CD's $ $./ CD CD's The pack of CD's is a better buy because it costs less CD.

16 **6 oz lb $8/lb $8.50/lb $9/lb

17 y y x 5 * Remember: The C.O.P. (Constant of Proportionality) is the value of y when x. x

18 4 5 c g y $60 4 gallons Cost # of gallons x The graph repersents a proportional relationship because it is a straight line that passes through the origin. The Constant of Proportionality is the value of y when x. Looking at the graph, when x, y. Therefore the constant of proportionality is.

19 % 8.% OR 8 % OR 5 0% % 0.06 p p p 5 b b b 5 r 00 5r # r 0 Rate R 0%

20 Let n sales tax.94 00n per roll n n $5.8 per roll $.8 Let n amount of commission n n Mary earned 48 n $48 commission. Let n amount of discount 75 00n n n discount $.75 Sale Price Jenny paid $7.5 for the boots. n Let n amount of tax n n tax $7.46 Total The bicycle costs $ n Let n # of people who win a door prize n people will win a door prize. 4 n 4 60 r 00 60r r 70, R 70% Let R % of question he got correct Robert got 70% of the questions correct. Let R % of decrease in price.49 r 75.99r r R 7.8% It was a 7.8% decrease in price.

21 Let n amount of tax Let n amount of tip n 5.5 n 5 tax $.6 tip $ Total bill n.474 n $6.6 Find the discount first: Let n amount of discount n n The discount is $90 $00 - $90 $0 Now find the sales tax on the discounted price: Let n amount of tax The tax is $6.80. n n $0 + $6.80 $6.80 I I P $4,000 R 6% 0.06 T years I PRT I 4,000 (0.06) () I 70 Interest $70 Evie will owe $70 interest. I $65 P P R 4.5% T 8 months years I PRT 65 P P P You would have to invest $5500. Let R % error Amount of error: Actual: r r r R 6.4% The percent error is about 6.4%.

22 A bh A (8) (5) A 0 ft C πd C π 0 C 0π C 0π mm A bh A (.) (5) A 56 in d 0, so r 0 A πr A π (0) A 00π A 00π mm A (b + b )h A (.+.6). A.55 cm C πd C π 0 C 0π d, so r 6 C 0π m A πr A π (6) A 6π A 6π in C πr 4π π r 4π π r π π r The radius is m The diameter is 4m

23 A m B A A lw A 5 8 A 0 B A bh A 6 A 6 Total Area A + B Total Area Total Area 56 m 5 ft A B A A lw A 5 B A 5 Total Area A + B Total Area 5 + A lw A 4 A Total Area 7 ft B A A 8 yd A lw A 9 8 A 7 B A lw A 5 A 0 Total Area A - B Total Area Total Area 6 yd h l w V lwh V (5)(5)(0) SA lw + lh + wh (5)(5) + (5)(0) + (5)(0) SA 550 m V 750 m

24 V lwh V (5)(7)() V 40 in 8 5 V ( bh)h V ( 8) 5 V 70 ft

25 4

26 heads tails heads tails heads tails heads tails heads tails heads tails heads tails 8 possible outcomes x 4 outfits blouses skirts Total 0 pens (impossible) 0 (certain) (impossible)

27 Total n n 4 4 n About 47 people would like comedies. mean sum of terms # of terms 9 median,, 5, 7, 8, 9, 0,, 5 range 5-4 mean 7.5 median 8 mode none range 4 mean sum of terms 4 4. mean 4. # of terms 0 median.5 median,,,,, 4, 5, 6, 6, 7 mode mode,,,,, 4, 5, 6, 6, 7 range 5 range 7-5 6

28 median 8, 8, 0,,,,,, 4, mean. 8. range ,,,,, 4, mean MAD MAD. 7 7

29 A It's median time is 5 minutes faster, it also has a lower range and IQR (inter quartile range) A It's median time is 5 minutes faster, it also has a lower range and IQR (inter quartile range) so it's data are more clustered together. 50% 75% cm length cm; width 9 cm 9 cm scale: cm 4 m Length: 48 x 4 x 48 x length 48m Area lw A 48 x 6 Width: 6 x 9 4 x 6 x width 6m A 78 m cm 4 cm solve for length x x solve for width x 6 6 x 8 scale: cm m 4 x x length 4 cm width cm

30 big little x x 8 8 x ft little big 8 9 x 5 x x ft 50 5 complementary 7.5 x + x x x x 7.5 supplementary x x 80 4x x x x 80 x x 54 x x 7 9

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