Question 1

Find all numbers that satisfy the following.
-An arrow is fired straight up from the ground with an initial velocity of 128 feet per second. Its height,  s(t) \mathrm { s } ( \mathrm { t } ) s(t)  , in feet at any time  t\mathrm { t }t  is given by the function  s(t) =−16t2+128t\mathrm { s } ( \mathrm { t } )  = - 16 \mathrm { t } ^ { 2 } + 128 \mathrm { t }s(t) =−16t2+128t . Find the interval of time for which the height of the arrow is greater than 156 feet.

Accepted Answer

A)   after  32sec\frac { 3 } { 2 } \mathrm { sec }23​sec 
B)   between  32\frac { 3 } { 2 }23​  and  132sec\frac { 13 } { 2 } \mathrm { sec }213​sec 
C)   before  32\frac { 3 } { 2 }23​  sec or after  132\frac { 13 } { 2 }213​  sec
D)   before  132sec\frac { 13 } { 2 } \mathrm { sec }213​sec

Question 2

Add the proper constant to each binomial so that the resulting trinomial is a perfect square trinomial. Then factor the
trinomial.
- x2+6x+x ^ { 2 } + 6 x +x2+6x+ ________

Accepted Answer

A)    x2+6x+6‾=(x+36) 2x ^ { 2 } + 6 x + \underline { 6 } = ( x + 36 )  ^ { 2 }x2+6x+6​=(x+36) 2 
B)    x2+6x+9=(x+3) 2x ^ { 2 } + 6 x + 9 = ( x + 3 )  ^ { 2 }x2+6x+9=(x+3) 2 
C)    x2+6x+3‾=(x+9) 2x ^ { 2 } + 6 x + \underline { 3 } = ( x + 9 )  ^ { 2 }x2+6x+3​=(x+9) 2 
D)    x2+6x+36‾=(x+6) 2x ^ { 2 } + 6 x + \underline { 36 } = ( x + 6 )  ^ { 2 }x2+6x+36​=(x+6) 2

Question 3

Fill in the blank with one of the words or phrases listed below.   quadratic formula  quadratic  discriminant ±b completing the square  quadratic inequality (h,k) (0,k) (h,0) −b2a\begin{array} { l l l l } \text { quadratic formula } & \text { quadratic } & \text { discriminant } & \pm \sqrt { b } \\text { completing the square } & \text { quadratic inequality } & ( h , k )  & ( 0 , k )  \( h , 0 )  & \frac { - b } { 2 a } & &\end{array} quadratic formula  completing the square (h,0) ​ quadratic  quadratic inequality 2a−b​​ discriminant (h,k) ​±b​(0,k) ​ 
-If  a2=ba ^ { 2 } = ba2=b , then  a=a =a= _________

Accepted Answer

A)    (h,k) ( h , k ) (h,k)  
B)    −b2a\frac { - b } { 2 a }2a−b​ 
C)   quadratic
D)    ±b\pm \sqrt { b }±bc-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​

Question 4

Solve the inequality. Graph the solution set and write the solution set in interval notation.
-  0">(x+2) (x−4) (x−7) >0( x + 2 )  ( x - 4 )  ( x - 7 )  > 0(x+2) (x−4) (x−7) >0 
 0    A)   ( - \infty , - 2 )  \cup ( 4,7 )     B)   ( - \infty , 4 )     C)  ( - 2,4 )  \cup ( 7 , \infty )     D)   ( 7 , \infty )      " class="answers-bank-image d-inline" rel="preload" >

Accepted Answer

A)    (−∞,−2) ∪(4,7) ( - \infty , - 2 )  \cup ( 4,7 ) (−∞,−2) ∪(4,7)   0    
A)    ( - \infty , - 2 )  \cup ( 4,7 )     
B)    ( - \infty , 4 )     
C)   ( - 2,4 )  \cup ( 7 , \infty )     
D)    ( 7 , \infty )      " class="answers-bank-image d-inline" rel="preload" >
B)    (−∞,4) ( - \infty , 4 ) (−∞,4)   0    
A)    ( - \infty , - 2 )  \cup ( 4,7 )     
B)    ( - \infty , 4 )     
C)   ( - 2,4 )  \cup ( 7 , \infty )     
D)    ( 7 , \infty )      " class="answers-bank-image d-inline" rel="preload" >
C)   (−2,4) ∪(7,∞) ( - 2,4 )  \cup ( 7 , \infty ) (−2,4) ∪(7,∞)   0    
A)    ( - \infty , - 2 )  \cup ( 4,7 )     
B)    ( - \infty , 4 )     
C)   ( - 2,4 )  \cup ( 7 , \infty )     
D)    ( 7 , \infty )      " class="answers-bank-image d-inline" rel="preload" >
D)    (7,∞) ( 7 , \infty ) (7,∞)   0    
A)    ( - \infty , - 2 )  \cup ( 4,7 )     
B)    ( - \infty , 4 )     
C)   ( - 2,4 )  \cup ( 7 , \infty )     
D)    ( 7 , \infty )      " class="answers-bank-image d-inline" rel="preload" >

Question 5

Solve.
- x4−22x2−75=0x ^ { 4 } - 22 x ^ { 2 } - 75 = 0x4−22x2−75=0

Accepted Answer

A)    5,i35 , i \sqrt { 3 }5,i3c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​ 
B)    −5,5,−i3,i3- 5,5 , - \mathrm { i } \sqrt { 3 } , \mathrm { i } \sqrt { 3 }−5,5,−i3c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​,i3c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​ 
C)    −3,3,−5i,5i- \sqrt { 3 } , \sqrt { 3 } , - 5 i , 5 i−3c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​,3c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​,−5i,5i ,
D)    −25,3- 25,3−25,3

Question 6

Write the equation of the parabola that has the same shape as the given parabola but with the given vertex.
- f(x) =−3x2;(−4,−7) f ( x )  = - 3 x ^ { 2 } ; ( - 4 , - 7 ) f(x) =−3x2;(−4,−7)

Accepted Answer

A)    f(x) =−3(x+4) 2−7f ( x )  = - 3 ( x + 4 )  ^ { 2 } - 7f(x) =−3(x+4) 2−7 
B)    f(x) =−3(x+7) 2−4f ( x )  = - 3 ( x + 7 )  ^ { 2 } - 4f(x) =−3(x+7) 2−4 
C)    f(x) =−3(x+4) 2+7f ( x )  = - 3 ( x + 4 )  ^ { 2 } + 7f(x) =−3(x+4) 2+7 
D)    f(x) =−3(x−7) 2−4f ( x )  = - 3 ( x - 7 )  ^ { 2 } - 4f(x) =−3(x−7) 2−4

Question 7

Match the function with its graph.
- f(x) =−x2+6xf ( x )  = - x ^ { 2 } + 6 xf(x) =−x2+6x

Accepted Answer

A)  
B)  
C)  
D)

Question 8

Fill in the blank with one of the words or phrases listed below.   quadratic formula  quadratic  discriminant ±b completing the square  quadratic inequality (h,k) (0,k) (h,0) −b2a\begin{array} { l l l l } \text { quadratic formula } & \text { quadratic } & \text { discriminant } & \pm \sqrt { b } \\text { completing the square } & \text { quadratic inequality } & ( h , k )  & ( 0 , k )  \( h , 0 )  & \frac { - b } { 2 a } & &\end{array} quadratic formula  completing the square (h,0) ​ quadratic  quadratic inequality 2a−b​​ discriminant (h,k) ​±b​(0,k) ​ 
-The graph of  (x−h) 2+k( x - h )  ^ { 2 } + k(x−h) 2+k  has vertex______

Accepted Answer

A)    (0 h,k) ( 0 \mathrm {~h} , \mathrm { k } ) (0 h,k)  
B)    (h,0) ( h , 0 ) (h,0)  
C)    (h,k) ( h , k ) (h,k)  
D)    ±b\pm \sqrt { \mathrm { b } }±bc-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​

Question 9

Solve.
-Use the formula  A=P(1+r) tA = P ( 1 + r )  ^ { t }A=P(1+r) t . Find the rate,  rrr , at which  $600\$ 600$600  grows to  $739\$ 739$739  in 2 years.

Accepted Answer

A)    22%22 \%22% 
B)    11%11 \%11% 
C)    12%12 \%12% 
D)    10%10 \%10%

Question 10

Use the square root property to solve the equation.
- 7x2=1007 x ^ { 2 } = 1007x2=100

Accepted Answer

A)    −7007,7007- \frac { \sqrt { 700 } } { 7 } , \frac { \sqrt { 700 } } { 7 }−7700c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​​,7700c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​​ 
B)    1077\frac { 10 \sqrt { 7 } } { 7 }7107c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​​ 
C)    −1077,1077- \frac { 10 \sqrt { 7 } } { 7 } , \frac { 10 \sqrt { 7 } } { 7 }−7107c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​​,7107c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​​ 
D)    −107,107- \frac { 10 } { 7 } , \frac { 10 } { 7 }−710​,710​

Question 11

Solve.
- x=4x+21x = \sqrt { 4 x + 21 }x=4x+21​

Accepted Answer

A)    −3,7- 3,7−3,7 
B)   3,7
C)    −7- 7−7 
D)   7

Question 12

Solve.
-An express train travels 398 miles between two cities. During the first 80 miles of a trip, the train traveled through mountainous terrain. The train traveled 13 miles per hour slower through Mountainous terrain than through level terrain. If the total time to travel between the cities was 8 Hours, find the speed of the train on level terrain.

Accepted Answer

A)   53 mph
B)   27 mph
C)   40 mph
D)   66 mph

Question 13

Solve.
- 22x−55=x+3\sqrt { 22 x - 55 } = x + 322x−55​=x+3

Accepted Answer

A)   6
B)    −8- 8−8 
C)   8
D)    −7- 7−7

Question 14

Use the quadratic formula to solve the equation.
- x(2x+5) =2x ( 2 x + 5 )  = 2x(2x+5) =2

Accepted Answer

A)    5−34,5+34\frac { 5 - 3 } { 4 } , \frac { 5 + 3 } { 4 }45−3​,45+3​ 
B)    5−414,5+414\frac { 5 - \sqrt { 41 } } { 4 } , \frac { 5 + \sqrt { 41 } } { 4 }45−41c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​​,45+41c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​​ 
C)    −5−34,−5+34\frac { - 5 - 3 } { 4 } , \frac { - 5 + 3 } { 4 }4−5−3​,4−5+3​ 
D)    −5−414,−5+414\frac { - 5 - \sqrt { 41 } } { 4 } , \frac { - 5 + \sqrt { 41 } } { 4 }4−5−41c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​​,4−5+41c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​​

Question 15

Find the maximum or minimum value of the function. Approximate to two decimal places.
- f(x) =1.4x2−1.2x−0.9f ( x )  = 1.4 x ^ { 2 } - 1.2 x - 0.9f(x) =1.4x2−1.2x−0.9

Accepted Answer

A)    0.430.430.43 
B)    −1.16- 1.16−1.16 
C)    −0.43- 0.43−0.43 
D)    −0.13- 0.13−0.13

Question 16

Solve the inequality. Graph the solution set and write the solution set in interval notation.
-  0">x(x+6) (x−2) >0x ( x + 6 )  ( x - 2 )  > 0x(x+6) (x−2) >0 
 0    A)  (-\infty,-6] \cup[0,2]    B)   ( - 6,0 )  \cup ( 2 , \infty )     C)  [ - 6,0 ] \cup [ 2 , \infty )     D)   ( - \infty , - 6 )  \cup ( 0,2 )      " class="answers-bank-image d-inline" rel="preload" >

Accepted Answer

A)   (−∞,−6]∪[0,2](-\infty,-6] \cup[0,2](−∞,−6]∪[0,2]  0    
A)   (-\infty,-6] \cup[0,2]    
B)    ( - 6,0 )  \cup ( 2 , \infty )     
C)   [ - 6,0 ] \cup [ 2 , \infty )     
D)    ( - \infty , - 6 )  \cup ( 0,2 )      " class="answers-bank-image d-inline" rel="preload" >
B)    (−6,0) ∪(2,∞) ( - 6,0 )  \cup ( 2 , \infty ) (−6,0) ∪(2,∞)   0    
A)   (-\infty,-6] \cup[0,2]    
B)    ( - 6,0 )  \cup ( 2 , \infty )     
C)   [ - 6,0 ] \cup [ 2 , \infty )     
D)    ( - \infty , - 6 )  \cup ( 0,2 )      " class="answers-bank-image d-inline" rel="preload" >
C)   [−6,0]∪[2,∞) [ - 6,0 ] \cup [ 2 , \infty ) [−6,0]∪[2,∞)   0    
A)   (-\infty,-6] \cup[0,2]    
B)    ( - 6,0 )  \cup ( 2 , \infty )     
C)   [ - 6,0 ] \cup [ 2 , \infty )     
D)    ( - \infty , - 6 )  \cup ( 0,2 )      " class="answers-bank-image d-inline" rel="preload" >
D)    (−∞,−6) ∪(0,2) ( - \infty , - 6 )  \cup ( 0,2 ) (−∞,−6) ∪(0,2)   0    
A)   (-\infty,-6] \cup[0,2]    
B)    ( - 6,0 )  \cup ( 2 , \infty )     
C)   [ - 6,0 ] \cup [ 2 , \infty )     
D)    ( - \infty , - 6 )  \cup ( 0,2 )      " class="answers-bank-image d-inline" rel="preload" >

Question 17

Solve.
-A ball is thrown downward with an initial velocity of 35 meters per second from a cliff that is 50 meters high. The height of the ball is given by the quadratic equation  h=−4.9t2−35t+50h = - 4.9 t ^ { 2 } - 35 t + 50h=−4.9t2−35t+50  where  h\mathrm { h }h  is in meters and  t\mathrm { t }t  is the time in seconds since the ball was thrown. Find the time it takes the ball to hit the ground. Round your answer to the nearest tenth of a second.

Accepted Answer

A)    2.2sec2.2 \mathrm { sec }2.2sec 
B)    1.2sec1.2 \mathrm { sec }1.2sec 
C)    1.3sec1.3 \mathrm { sec }1.3sec 
D)    1.1sec1.1 \mathrm { sec }1.1sec

Question 18

Use the square root property to solve the equation.
- (3x−1) 2=49( 3 x - 1 )  ^ { 2 } = \frac { 4 } { 9 }(3x−1) 2=94​

Accepted Answer

A)    −23,23- \frac { 2 } { 3 } , \frac { 2 } { 3 }−32​,32​ 
B)    59,19\frac { 5 } { 9 } , \frac { 1 } { 9 }95​,91​ 
C)    −29,29- \frac { 2 } { 9 } , \frac { 2 } { 9 }−92​,92​ 
D)    3,−13 , - 13,−1

Question 19

Find two possible missing terms so that the expression is a perfect square trinomial.
- x2+…+94x ^ { 2 } + \ldots + \frac { 9 } { 4 }x2+…+49​

Accepted Answer

A)    −3x,3x- 3 x , 3 x−3x,3x 
B)    −92x,92x- \frac { 9 } { 2 } x , \frac { 9 } { 2 } x−29​x,29​x 
C)    −32x,32x- \frac { 3 } { 2 } x , \frac { 3 } { 2 } x−23​x,23​x 
D)    −9x,9x- 9 x , 9 x−9x,9x

Question 20

Use the quadratic formula to solve the equation.
- (x−2) (2x+1) =2(x−1) −2( x - 2 )  ( 2 x + 1 )  = 2 ( x - 1 )  - 2(x−2) (2x+1) =2(x−1) −2

Accepted Answer

A)    −2,−12- 2 , - \frac { 1 } { 2 }−2,−21​ 
B)    −54−414,−54+414- \frac { 5 } { 4 } - \frac { \sqrt { 41 } } { 4 } , - \frac { 5 } { 4 } + \frac { \sqrt { 41 } } { 4 }−45​−441c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​​,−45​+441c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​​ ,
C)    12,2\frac { 1 } { 2 } , 221​,2 
D)    54−414,54+414\frac { 5 } { 4 } - \frac { \sqrt { 41 } } { 4 } , \frac { 5 } { 4 } + \frac { \sqrt { 41 } } { 4 }45​−441c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​​,45​+441c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​​ ,

Exam 11: Quadratic Equations and Functions

Correct Answer
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Correct Answer
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Correct Answer
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Solve. - $x = \sqrt { 4 x + 21 }$

Correct Answer
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Correct Answer
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Use the square root property to solve the equation. - $( 3 x - 1 ) ^ { 2 } = \frac { 4 } { 9 }$

Correct Answer
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Solve. -Use the formula $A = P ( 1 + r ) ^ { t }$ . Find the rate, $r$ , at which $\$ 600$ grows to $\$ 739$ in 2 years.

Correct Answer
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Solve. - $x ^ { 4 } - 22 x ^ { 2 } - 75 = 0$

Correct Answer
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Use the quadratic formula to solve the equation. - $x ( 2 x + 5 ) = 2$

Correct Answer
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Use the square root property to solve the equation. - $7 x ^ { 2 } = 100$

Correct Answer
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Solve. - $\sqrt { 22 x - 55 } = x + 3$

Correct Answer
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Add the proper constant to each binomial so that the resulting trinomial is a perfect square trinomial. Then factor the trinomial. - $x ^ { 2 } + 6 x +$ ________

Correct Answer
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Correct Answer
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Match the function with its graph. - $f ( x ) = - x ^ { 2 } + 6 x$

Correct Answer
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Correct Answer
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Use the quadratic formula to solve the equation. - $( x - 2 ) ( 2 x + 1 ) = 2 ( x - 1 ) - 2$

Correct Answer
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Find the maximum or minimum value of the function. Approximate to two decimal places. - $f ( x ) = 1.4 x ^ { 2 } - 1.2 x - 0.9$

Correct Answer
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Correct Answer
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Write the equation of the parabola that has the same shape as the given parabola but with the given vertex. - $f ( x ) = - 3 x ^ { 2 } ; ( - 4 , - 7 )$

Correct Answer
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Find two possible missing terms so that the expression is a perfect square trinomial. - $x ^ { 2 } + \ldots + \frac { 9 } { 4 }$

Correct Answer
verified

Exam 11: Quadratic Equations and Functions

Correct AnswerverifiedShow Answer

Solve the inequality. Graph the solution set and write the solution set in interval notation. - (x+2) (x−4) (x−7) >0( x + 2 ) ( x - 4 ) ( x - 7 ) > 0(x+2) (x−4) (x−7) >0

Correct AnswerverifiedShow Answer

Solve the inequality. Graph the solution set and write the solution set in interval notation. - x(x+6) (x−2) >0x ( x + 6 ) ( x - 2 ) > 0x(x+6) (x−2) >0

Correct AnswerverifiedShow Answer

Solve. - x=4x+21x = \sqrt { 4 x + 21 }x=4x+21​

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Use the square root property to solve the equation. - (3x−1) 2=49( 3 x - 1 ) ^ { 2 } = \frac { 4 } { 9 }(3x−1) 2=94​

Correct AnswerverifiedShow Answer

Solve. -Use the formula A=P(1+r) tA = P ( 1 + r ) ^ { t }A=P(1+r) t . Find the rate, rrr , at which $600\$ 600$600 grows to $739\$ 739$739 in 2 years.

Correct AnswerverifiedShow Answer

Solve. - x4−22x2−75=0x ^ { 4 } - 22 x ^ { 2 } - 75 = 0x4−22x2−75=0

Correct AnswerverifiedShow Answer

Use the quadratic formula to solve the equation. - x(2x+5) =2x ( 2 x + 5 ) = 2x(2x+5) =2

Correct AnswerverifiedShow Answer

Use the square root property to solve the equation. - 7x2=1007 x ^ { 2 } = 1007x2=100

Correct AnswerverifiedShow Answer

Solve. - 22x−55=x+3\sqrt { 22 x - 55 } = x + 322x−55​=x+3

Correct AnswerverifiedShow Answer

Add the proper constant to each binomial so that the resulting trinomial is a perfect square trinomial. Then factor the trinomial. - x2+6x+x ^ { 2 } + 6 x +x2+6x+ ________

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Match the function with its graph. - f(x) =−x2+6xf ( x ) = - x ^ { 2 } + 6 xf(x) =−x2+6x

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Use the quadratic formula to solve the equation. - (x−2) (2x+1) =2(x−1) −2( x - 2 ) ( 2 x + 1 ) = 2 ( x - 1 ) - 2(x−2) (2x+1) =2(x−1) −2

Correct AnswerverifiedShow Answer

Find the maximum or minimum value of the function. Approximate to two decimal places. - f(x) =1.4x2−1.2x−0.9f ( x ) = 1.4 x ^ { 2 } - 1.2 x - 0.9f(x) =1.4x2−1.2x−0.9

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Write the equation of the parabola that has the same shape as the given parabola but with the given vertex. - f(x) =−3x2;(−4,−7) f ( x ) = - 3 x ^ { 2 } ; ( - 4 , - 7 ) f(x) =−3x2;(−4,−7)

Correct AnswerverifiedShow Answer

Find two possible missing terms so that the expression is a perfect square trinomial. - x2+…+94x ^ { 2 } + \ldots + \frac { 9 } { 4 }x2+…+49​

Correct AnswerverifiedShow Answer

Correct Answer
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Correct Answer
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Correct Answer
verified

Solve. - $x = \sqrt { 4 x + 21 }$

Correct Answer
verified

Correct Answer
verified

Use the square root property to solve the equation. - $( 3 x - 1 ) ^ { 2 } = \frac { 4 } { 9 }$

Correct Answer
verified

Solve. -Use the formula $A = P ( 1 + r ) ^ { t }$ . Find the rate, $r$ , at which $\$ 600$ grows to $\$ 739$ in 2 years.

Correct Answer
verified

Solve. - $x ^ { 4 } - 22 x ^ { 2 } - 75 = 0$

Correct Answer
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Use the quadratic formula to solve the equation. - $x ( 2 x + 5 ) = 2$

Correct Answer
verified

Use the square root property to solve the equation. - $7 x ^ { 2 } = 100$

Correct Answer
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Solve. - $\sqrt { 22 x - 55 } = x + 3$

Correct Answer
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Add the proper constant to each binomial so that the resulting trinomial is a perfect square trinomial. Then factor the trinomial. - $x ^ { 2 } + 6 x +$ ________

Correct Answer
verified

Correct Answer
verified

Match the function with its graph. - $f ( x ) = - x ^ { 2 } + 6 x$

Correct Answer
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Correct Answer
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Use the quadratic formula to solve the equation. - $( x - 2 ) ( 2 x + 1 ) = 2 ( x - 1 ) - 2$

Correct Answer
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Find the maximum or minimum value of the function. Approximate to two decimal places. - $f ( x ) = 1.4 x ^ { 2 } - 1.2 x - 0.9$

Correct Answer
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Correct Answer
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Write the equation of the parabola that has the same shape as the given parabola but with the given vertex. - $f ( x ) = - 3 x ^ { 2 } ; ( - 4 , - 7 )$

Correct Answer
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Find two possible missing terms so that the expression is a perfect square trinomial. - $x ^ { 2 } + \ldots + \frac { 9 } { 4 }$

Correct Answer
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