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# 9.9: Chapter Test

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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

## Date Created:

Aug 20, 2013

Jun 04, 2014
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