University:
College Entrance Preparation
Course:
ACT Preparation (Mathematics)
Academic year:

2020
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77

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4
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ohhbabymylovek20

Tug of War? a Win to What Does It Take by each line (some answers are rounded ). Cross out the letters Find the rate of change represented above each correct answer. Write the remaining letters in the spaces at the bottom of the page. Water Flow Distance from Home Distance Traveled ; 250 I 200 150 |100 5 50 1 ^ » 2 3 ® • a _ Calorie Counts 250 & 200 o 150 100 50 ^ Z3 v\ 500' 1 400 tfjX 300 o 200 100 £ 6 CE» For each situation, complete the table and graph. For table cells with letters , write the letter in the corresponding box at right. 15 23 > 6 15 31 n A square table has one seat on each side. Square tables are pushed together to make banquet tables. Draw banquet table # 4 in the pattern above Then complete the table and graph to show how the number of seats varies with the number of tables that are pushed together. Let n Number of tables S Number of seats Equation: S . = = - n 1 16 2 $ 14 3 $ 12 4 <+ _ 6- W s .. 5 to 6 I 6 v 4 z 6 7 5 = 2 n= 3 .v Equation :r: •V .. n ir Linear Equations and Their Graphs: Linear Patterns - . .7.... V R -4 24 2 5 " 3 20 3 4 5 * 16 to Ei I z 6 7 5 1 > 2 3 4 5 6 7 5 Number of Tables 25 1 -. 1 n 32 n — 4 20 15 S 0 n 1 n as 2 These bridges are constructed using rods to make equilateral triangles. The length of a bridge is the number of rods used to construct the bottom span. Draw bridge # 4 in the pattern above. Then complete the table and graph to show how the number of rods used varies with the length of the bridge. Let n Length of bridge R ~ Number of rods 5S 7 12 12 5 4 AW.*. • -' -’...-.'C-.-. - .v. y ' M5v Q -7 -: &* Length of bridge > .?• • ! F »« PUNCHLINE •Algebra •Book A ©2006 Marcy Mathworks < ' • • • _ - w: - Jds£*1:~' .. * KN • v. NAME . -- X • • .. . • i :v DATE CLASS > Examine the graphs below. Which lines have a positive slope? Which have a negative slope? Which have neither? 2Z 1. M l 5> ' 4 * 4 V V - < \ 4. 3. 2. X 4 X > i 4 >- L X 4 X \ I), I. i ' negative Z y-\ 7 m c --x5 45 7. V 6. £F <-> -J^Z- 9.1} no n . MN e ° „5 - Z 10 . sinpe^, CD Skj, < -» L b ^ 2 HI = IX +13 3 2 1 ~ 45 H ri ...j 13. rise: = 15. ^ ^ I 5 3 % i- SL ' m - ii i 9. “ <-> 2ir_ ‘ 3 - I* B n rtci — Wjjct " i i 4 ! i % i r ! I I i < Illr 3 • • T ! 5 16. rise: — — 2; run: 5 i " " •: ; RT HU*- \i i— 'P j ••• .jii * Hi D ! ; I J ij i! i ! »1 « I ; ! : -4) -2). B ( - 1, 3 ) - l , 7) 1u S -/ H %i ! ) i 7 22. A( ~ 1, 3) , B(S , 3) -I> j* It 7 r1 2Ai — 1, 0 ) 3 1 -7 > 0 n Tj v* I : M * 1 \ ^ P*a*l *l*i]ll|i*Mi* ’ 1 r i N i j l( n 1 ij ^ J i ! -Jr : o A ( 6, - 1 ) , B ( 5 , 6 ) . 4 : b-~ j i ri ' ! ri * ” 117 - IO :• 5' *- X i I xs . r - 4) 28. A( 3, 7 ) , B ( - 2) (§) • A( 5 , 2) , J8 (2, - 1 ) 26. • • ;; . f ‘/5 20. 24. A ( 2, 6 ) , B ( 3, -1 4 ) , J3 ( 3 , - 2 ) 5 ' ri » 4 k... ? Q -! K tl i ! I i .. .... ! ~ I •M : 'T |M Eon i m-... 4 *M{* m « n > >{(*i 4 i | . Hy i i »M I ; 7 \ .. .r j.. . 4 Ntajt* | | ra | » li > l H ri IpT r Mii * H \ ! " "” of rtTTr -iV I; r i i ' ... . 5 - 25 . A ( 0 , : " O ^ ! i 1 ' « ~d ; run: 4 ' j 23. A( l , 8) , S( ! ii « i i r ! 1 I E I 1 f! pcTV 1i • i I ; i : WMH Jii «l*l < H| •‘•' — I i t ! i A ( 3, 10 ) , J3 ( - 5 , 21. A ( 3, I X T T T I 14. rise: 2; run: -3 '- 4 1 9 sft IF P? 7 ! " Find the slope of the line containing each pair of points. 18. A{7 , 5 ), 5( 2, 4) 17 . A ( 3, 9 ) , B ( 1 , 5 ) 4 IK — 5; run: — © S. ? rn 1C I : i " !' i 5 i , t - ! A ! Find the slope of each line. " -.XXX,: i ‘ 5 7 i >3 : : ra -v7 KL 12. PQ mmma . I I ‘ i: : • , -3 i! [ - 5. AS <—> 4 - — - - '.- j. 8-2B 1 i Practice Name Date Tell whether the slope of each line is positive or negative. . . 1 line a 3 linec 2. lineb ' _(20 S P^ Find the slope of each line. - 2. . 4 line a 6. line c . - 2 5 line b Find the indicated slopes. 7. For the line containing the points (2, 5) and (4, 10): 5 The change in y- values is 10 Therefore the slope of the line is = 5 . and the change in x-values is 4 - ^ = 2. Z 8. For the line containing the points (-4, 1) and (4, 2): The change in y- values is 2 ! i i ! 1 i * 1 1 - _J =1 1 . and the change in x-values is 4 Therefore the slope of the line is !A v Think about the direction of the indicated line. Is it falling, rising, vertical, or horizontal? . 9 ^ As you look from left to right, the graph of the line through (0, 0) and (5, 0) is . . . . horiZovi-fal , - 10 As you look from left to right, the graph of the line through (-3, 7) and (4, 2) is 11 As you look from left to right, the graph of the line through (1, 1) and (1, 9) is Wffr Ml 12 As you look from left to right, the graph of the line through (-8, 6) and (-5, 1) is Find the slope of each line. _ 13. the line through (5, -5) and (-2, 3) 14 the line through (4, -1) and (-4, 1) . - -5 fallto5 fe 3 " ' % 7 o 15. the line with y-intercept of 1 that goes through (0, 2) Graph each line and find its slope. . 16 y = -2x + 1; slope i 5 " i - ; = .5 * _ JL y 2 i * * »•* i .. . 1 i f — * !• j f> I -5 i l . 17 y = l slope = *5iJC -5 ! Jirwm • i hr t ! Mil ii A i T 2 i 1 ! i ~ .^5 I l >* i T 1 i t ^ MNII I .... ! I i L ! 5 l i » i i I © Addlson-Wesley Publishing Company, Inc. AWSM Foundations of Algebra and Geometry 89