2. Proportions

3. Round One 2) x + 3 = 15

4. Answers 2.) x + 3 = 15 X=12 21

5. Round Two

6. Answers 54 1.)10x = -40 X=-4 2.)15x = -675 X=-45 3.)-12x = 504 X=42 4.)45x = 945 X=21 14

7. Round Three

8. Answers 1.)8(x-8)=8 8x-64=8 8x = 72 x = 9 2.)6(x-7)=-126 6x-42=-126 6x = -84 x = -14 3.) 64(x+10) = 2304 64x+640 = 2304 64x = 1664 x = 26 4.)28(x+9)=168 28x+252=168 28x = -84 x = -3 18

9. Round Four

10. Answers 27 1.)6(2x+9)=162 12x+54 = 162 12x = 108 x = 9 2.)14(3x+55)=560 42x+770 = 560 42x = -210 x = -5 3.)6(3x+5)=120 18x+30 = 120 18x = 90 x = 5 4.)21(2x+20)=42 42x+420 = 42 42x = -378 x = -9 0

11. Round Five

12. Answers 12 1.)18(x+4)=48(x-6) 18x+72 = 48x-288 -30x = -360 x = 12 3.)35(x+19)=14(x+37) 35x + 665 = 14x + 518 21x = -147 x = -7 4.)36(x+6) = 39(x+4) 36x+216=39x+156 -3x = -60 x = 20 2.)1(x+14)=3(x+6) x + 14 = 3x + 18 -2x = 4 x = -2 23

13. Round Six

14. Answers 1.)15(3x)=90 45x = 90 x = 2 4.)3(2x) = 30 6x = 30 x = 5 3.)8x = 44 x = 5.5 2.)-50x = 425 x = -8.5 4

15. Round Seven

16. Answers 1.)3(x+4) = 36 3x + 12 = 36 3x = 24 x = 8 4.) -2(5x) = 440 -10x = 440 x = -44 3.) 25x = -5250 x = -210 2.) 3x = 2160 x = 720 474

17. Round Eight

18. Answers 1.)80(x+2)=640 80x + 160 = 640 80x = 480 x = 6 3.)2(x+1) = 12 2x + 2 = 12 2x = 10 x = 5 4.)30(2x+10)=900 60x+300=900 60x = 600 x = 10 2.)28(x+4)= 168 28x + 112 = 168 28x = 56 x = 2 23

19. Round Nine 1) x + 7 = 1 0 2) x – 3 = 1 2 3) x + 8 = 1 5 4) x – 2 = 2 7

20. Answers 1.)60(5x+12)=4320 300x +720 =4320 300x = 3600 x = 12 4.)54(3x-9)=1944 162x-486=1944 162x = 2430 x = 15 3.)30(x-2) =90 30x – 60 = 90 30x = 150 x = 5 2.)20(2x+5)=420 40x+100=420 40x = 320 x = 8 40

21. Round Ten 1) 5 + x = 1 5 2) 1 7 = x – 4 3) 1 9 = x + 7 4) X – 1 3 = 1

22. Answers 2.) 54(2x-1)=27(3x+3) 108x-54=81x+81 27x = 135 x = 5 1.)14(5x+5)=35(x+12) 70x+70=35x+420 35x = 350 x = 10 4.) 35(-4x-2)=14(5x+25) -140x-70=70x+350 -210x = 420 x = -2 3.)18(4x+36)=36(-2x+6) 72x+648=-72x+216 144x = -432 x = -3 10