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Midterm 1: Version B Answer Key

  1. −6−62−4(5)(1)
    −6−36−20−6−16−6−4−10
  2. a
    15x−18=4[−6+3x]15x−18=−24+12x−12x+18+18−12x3x3=−63x=−2
  3. (A=hB⋅b)(b)
    (Ab=hB)÷AAb=hBA
  4. (x+35−x2=5−3x10)(10)
    2(x+3)−5(x)=5−3x2x+6−5x=5−3x−3x+6=5−3x+3x−6−6+3x0=−1
    No solution
  5. y=4
    -3, 4
  6. a
    slope=ΔyΔx13=y−4x−−11(x+1)=3(y−4)x+1=3y−12−1−1x=3y−13x−3y+13=0y=13x+133
  7. 1st slope … m=ΔyΔx⇒5−4−3−0⇒−13
    now … m=ΔyΔx⇒−13⇒y−4x−0
    −1(x)=3(y−4)−x=3y−12x+3y−12=0y=−13x+4
  8. a
    Line on graph passes through (0,-2), (3,-1), (6,0)
  9. a
    6x−12+8x>15−20x+7+12+20x+20x+15+6x+1234x>34x>1
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  10. a
    −3≤2x+3<9−3−3−3−62≤2x2<62−3≤x<3-3 is less than or equal to x is less or greater than 3
  11. (−2<3x+25<2)(5)
    1. −10<3x+2<10−2−2−2−123<3x3<83−4<x<83 -4 less than or equal to x which is less than 2.5
  12. 5x+2y=10
    x y
    2 0
    0 5
    −2 10
    4 −5

    Line on graph passes through (0,5), (2,0), (4,-5)

  13. x,x+2
    x+(x+2)=5x−162x+2=5x−16+−5x−2−5x−2−3x−3=−18−3x=6
    numbers are 6, 8
  14. a
    4x+x=40 cm5x=40 cmx=40 cm5 or 8 cm∴4x=4(8) or 32 cm
  15. a
    1st―P=kTV2nd―1st dataP=100k=find 1stT=200V=500P=kTV100=k(200)500k=100(500)2002k=2502nd dataP=find 2ndk=250T=100V=500P=kTVP=(250)(100)500P=50

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