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Solve each equation. Then check your solution' '16. s-19:-34 15. zt-9:74

19.a*55:-17 7) -)\: -'l 50-|a 25. 18 - (-f): e\

z: 44 21.. -I8: *67 4' d

18. 18 *

24.b-(-es) :1U 27. -2.56f c:0.89 30. 6.2: -4.83 + y

28.k+0.6:-3.84 3't.

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39. If x

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20.t-72:-44 23. r - (-19\: -77 26. 125 - (-P) : 88 29.

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- 7 :14, what is the value of x - 2? B : -I2, what is the value of t + 1?

40. If f 1

GEOMETRY For Exercises 41' and 42, use the rectangle at the right' 41. Write an equatron you could use to solve for x and then solve for x'

(y

24 cm

-

17) cm

42. Wrlte an equation you could use to solve for Y and then solve for Y'

equation and Write an equation for each problem' Then solve the check Your solution' Find the number' 43. Eighteen subtracted from a number equals 31' 44. \Atrat number decreased by 77 eqtals -18? number' 45. Anumber increased by -16 is -21' Find the number? 46. The suri" of a number and -43 is 102. \Alhat is the

\

'

4T.Whatnumberminusone-halfisequaitonegativethree-fourths? 48.ThestLrmof19and42and'anumberisequaltoBT.Whatisthenumber? 4g. Determine whethe r x

x is sometimes, always, ot neaer true' Explain'

50. Determine whether

x is sometimes, always, or neTer true' Explain'

* x: x* 0:

following information' , miles mire on a gallorqpf gasoline A midsize .u, -ith a 4-cylinder "ngin" goes 10 midsize car consumes cine gallon of than a luxury .u'. *itt", an B-cyiindSt-""[i"". A GAS MILEAGE For Exercises 51-55, use the gas for every 34 miles driven'

i

51. Write an addition equation to represent the situation'

52.Howmanymilesd.oesaluxurycartravelonagallonofgasoline? 13 miles more than a luxury 53. A subcompact car with a 3-cylinder engine goes j^r. Hoi" far does"a ,rr6.o*pu.t car travel on a gallon car on

""J;;ll;;"f of gasoline?

54.Howmanymoremilesdoesasubcompacttrarrelonagallonofgasolinethana midsize car? a 6-cylinder engine goes on one 55. Estimate how many miles a full-size car with gallon of gasoline' Explain your reasoning'

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Chapter

3

Solving Linear Equattons