9.9: Chapter Test
Difficulty Level: At Grade
Created by: CK12
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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.
 _____ What is the general form of the following quadratic equation?
12(y−1)=(x+3)2 
2x2+6x+10 
2x2+12x+17 
2x2+12x+19 
2x2+6x+17

 _____ What are the zeros of the following quadratic equation?
(m+2)2=25 
m=7 ;m=−3 
m=−7 ;m=3 
m=7 ;m=3 
m=−7 ;m=−3

 _____
h(t)=−2(t−3)2+21 This quadratic function represents height(h) in yards, reached by a ball thrown into the air aftert seconds. From what height was the ball thrown? 2yd
 5yd
 21yd
 3yd
 _____ What is the value of the discriminant for the following quadratic equation?
3y2−5y=1 
13−−√ 
37−−√  37
 13

 _____ Simplify the following and express the result as a complex number.
(4−5i)(3+2i) 
22−7i 
2−7i 
−22+7i 
22−7i√

 _____ For what values of ‘
m ’ does the following equation have imaginary roots?4x2+mx+9=0 
m=12 ;m=−12 
m>12 ;m<−12 
m<12 ;m<−12 
m<12 ;m>−12

 _____ The length of a driveway is 5yd longer than the width. If the area of the driveway is
300 yd2 , what are its length and width?
l=10 yd ;w=15 yd 
l=20 yd ;w=15 yd 
l=10 yd ;w=3 yd 
l=25 yd ;w=20 yd

 _____ What are the exact roots of the following quadratic equation?
2x2=2x+3 
x=1±7√2 
x=2±28−−√4 
x=1±7√4 
x=2±−20−−−−√4

 _____ What is the solution for the following radical equation?
x+2−−−−−√=x  the roots are 2 and 1
 the roots are –2 and 1
 the root is 2
 the root is 1
 _____ The following quadratic equation was solved using the quadratic formula. \begin{align*}x^24x=3\end{align*} Which step contains the first mathematical error?
 Step 1:
 \begin{align*}x=\frac{ \left(4\right) \pm \sqrt{\left(4\right)^24 \left(1\right) \left(3\right)}}{2 \left(1\right)}\end{align*}
 Step 2:
 \begin{align*}x=\frac{4 \pm \sqrt{1612}}{4}\end{align*}
 Step 3:
 \begin{align*}x=\frac{4 \pm \sqrt{4}}{2}\end{align*}
 Step 4:

\begin{align*}x=3;x=1\end{align*}
 Step 1
 Step 2
 Step 3
 Step 4
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Date Created:
Aug 20, 2013
Last Modified:
Jan 14, 2015
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