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Multiple Choice – Please circle the letter of the correct answer and write that letter in the space provided to the left of each question.

  1. _____ What is the general form of the following quadratic equation? \frac{1}{2}(y-1)=(x+3)^2
    1. 2x^2+6x+10
    2. 2x^2+12x+17
    3. 2x^2+12x+19
    4. 2x^2+6x+17
  2. _____ What are the zeros of the following quadratic equation? (m+2)^2=25
    1. m=7; m=-3
    2. m=-7; m=3
    3. m=7; m=3
    4. m=-7; m=-3
  3. _____ \boxed{h(t)=-2(t-3)^2+21} This quadratic function represents height (h) in yards, reached by a ball thrown into the air after t seconds. From what height was the ball thrown?
    1. 2yd
    2. 5yd
    3. 21yd
    4. 3yd
  4. _____ What is the value of the discriminant for the following quadratic equation? 3y^2-5y=1
    1. \sqrt{13}
    2. \sqrt{37}
    3. 37
    4. 13
  5. _____ Simplify the following and express the result as a complex number. (4-5i)(3+2i)
    1. 22-7i
    2. 2-7i
    3. -22+7i
    4. 22-7 \sqrt{i}
  6. _____ For what values of ‘m’ does the following equation have imaginary roots? 4x^2+mx+9=0
    1. m=12; m=-12
    2. m>12; m<-12
    3. m<12; m<-12
    4. m<12; m>-12
  7. _____ The length of a driveway is 5yd longer than the width. If the area of the driveway is 300 \ yd^2, what are its length and width?
    1. l=10 \ yd; w=15 \ yd
    2. l=20 \ yd; w=15 \ yd
    3. l=10 \ yd; w=3 \ yd
    4. l=25 \ yd; w=20 \ yd
  8. _____ What are the exact roots of the following quadratic equation? 2x^2=2x+3
    1. x=\frac{1 \pm \sqrt{7}}{2}
    2. x=\frac{2 \pm \sqrt{28}}{4}
    3. x=\frac{1 \pm \sqrt{7}}{4}
    4. x=\frac{2 \pm \sqrt{-20}}{4}
  9. _____ What is the solution for the following radical equation? \sqrt{x+2}=x
    1. the roots are 2 and 1
    2. the roots are –2 and 1
    3. the root is 2
    4. the root is 1
  10. _____ The following quadratic equation was solved using the quadratic formula. x^2-4x=3 Which step contains the first mathematical error?
  11. Step 1:
  12. x=\frac{- \left(-4\right) \pm \sqrt{\left(-4\right)^2-4 \left(1\right) \left(-3\right)}}{2 \left(1\right)}
  13. Step 2:
  14. x=\frac{4 \pm \sqrt{16-12}}{4}
  15. Step 3:
  16. x=\frac{4 \pm \sqrt{4}}{2}
  17. Step 4:
  18. x=3;x=1
    1. Step 1
    2. Step 2
    3. Step 3
    4. Step 4

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Aug 20, 2013

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Jun 04, 2014
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