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A service organization buys a block of tickets to a hockey game for $139 . After 5 more people decide to go to the game, the price per ticket is decreased by $1. How many people are going to the game?


A) 24 people
B) 34 people
C) 29 people
D) 5353 people
E) 3232 people

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Solve 2y(y−16) +5(y−16) =02 y ( y - 16 ) + 5 ( y - 16 ) = 0 .


A) y=16,y=−5y = 16 , y = - 5
B) y=−16,y=25y = - 16 , y = \frac { 2 } { 5 }
C) y=16,y=−52y = 16 , y = - \frac { 5 } { 2 }
D) y=16,y=−25y = 16 , y = - \frac { 2 } { 5 }
E) y=−16,y=−52y = - 16 , y = - \frac { 5 } { 2 }

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Graph the solution to the inequality on the real number line. x(x+3) (x−3) >0x ( x + 3 ) ( x - 3 ) > 0


A) Graph the solution to the inequality on the real number line. x ( x + 3 ) ( x - 3 ) > 0 A) B) C) D) E) none of these
B) Graph the solution to the inequality on the real number line. x ( x + 3 ) ( x - 3 ) > 0 A) B) C) D) E) none of these
C) Graph the solution to the inequality on the real number line. x ( x + 3 ) ( x - 3 ) > 0 A) B) C) D) E) none of these
D) Graph the solution to the inequality on the real number line. x ( x + 3 ) ( x - 3 ) > 0 A) B) C) D) E) none of these
E) none of these

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An office contains two printers. Printer B takes 5 minutes longer than printer A to print the company s monthly financial report. With the two printers working, it takes 3.5 minutes to complete the report. How long (in minutes) would it take each printer individually to complete the report? Round your answer to two decimal places.


A) Printer A: 4.12 minutes, Printer B: 10.12 minutes
B) Printer A: 2.65 minutes, Printer B: 8.65 minutes
C) Printer A: 5.3 minutes, Printer B: 10.3 minutes
D) Printer A: 5.3 minutes, Printer B: 5.3 minutes
E) Printer A: 6.3 minutes, Printer B: 10.12 minutes

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The height y in feet of a ball thrown by a child is modeled by y=−0.1x2+7x+4y = - 0.1 x ^ { 2 } + 7 x + 4 , where x is the horizontal distance in feet from where the ball is thrown. How high is the ball when it leaves the child s hand?


A) 0.4 foot
B) 0.1 foot
C) 13.9 feet
D) 11 feet
E) 4 feet

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Solve the equation (x2−13) 2+3(x2−13) −4=0\left( x ^ { 2 } - 13 \right) ^ { 2 } + 3 \left( x ^ { 2 } - 13 \right) - 4 = 0 . (Find all real and complex solutions.)


A) ±3,±14i\pm 3 , \pm \sqrt { 14 } i
B) ±13,±14i\pm 13 , \pm \sqrt { 14 } i
C) ±3,±14\pm 3 , \pm \sqrt { 14 }
D) ±13,±14i\pm 13 , \pm 14 i
E) ±9,±14\pm 9 , \pm 14

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Solve the equation 7x2=637 x ^ { 2 } = 63 by using the Square Root Property.


A) ±7\pm 7
B) ±3\pm 3
C) ±9\pm 9
D) 7,37,3
E) 9

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Graph the solution to the inequality on the real number line. x2−6x+6>0x ^ { 2 } - 6 x + 6 > 0


A) Graph the solution to the inequality on the real number line. x ^ { 2 } - 6 x + 6 > 0 A) B) C) D) E)
B) Graph the solution to the inequality on the real number line. x ^ { 2 } - 6 x + 6 > 0 A) B) C) D) E)
C) Graph the solution to the inequality on the real number line. x ^ { 2 } - 6 x + 6 > 0 A) B) C) D) E)
D) Graph the solution to the inequality on the real number line. x ^ { 2 } - 6 x + 6 > 0 A) B) C) D) E)
E) Graph the solution to the inequality on the real number line. x ^ { 2 } - 6 x + 6 > 0 A) B) C) D) E)

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The height y in feet of a ball thrown by a child is modeled by y=−0.1x2+2.5x+5y = - 0.1 x ^ { 2 } + 2.5 x + 5 , where x is the horizontal distance in feet from where the ball is thrown. What is the maximum height of the ball? Round your answer to the nearest integer.


A) 7 feet
B) 11 feet
C) 21 feet
D) 35 feet
E) 52 feet

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The height y (in feet) of a ball that you throw is given by y=−1190x2+x+5y = - \frac { 1 } { 190 } x ^ { 2 } + x + 5 where x is the horizontal distance (in feet) from where you release the ball. How high is the ball when you release it?


A) 5 feet
B) 2.5 feet
C) 1 foot
D) 99 feet
E) 100100 feet

Correct Answer

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Find all real and complex solutions of the quadratic equation 6x2−5x=06 x ^ { 2 } - 5 x = 0 .


A) 0,560,\frac { 5 } { 6 }
B) 0,56i0 , \frac { 5 } { 6 } i
C) 365\frac { 36 } { 5 }
D) 56i\frac { 5 } { 6 } i
E) 0,650 , \frac { 6 } { 5 }

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Find the critical numbers. y(y−7) −9(y−7) y ( y - 7 ) - 9 ( y - 7 )


A) −7,−9- 7 , - 9
B) 7,97,9
C) 0,70,7
D) 7,−97 , - 9
E) 0,−70 , - 7

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Match the equation y=(x+1) 2+3y = ( x + 1 ) ^ { 2 } + 3 with its graph.


A) Match the equation y = ( x + 1 ) ^ { 2 } + 3 with its graph. A) B) C) D) E)
B) Match the equation y = ( x + 1 ) ^ { 2 } + 3 with its graph. A) B) C) D) E)
C) Match the equation y = ( x + 1 ) ^ { 2 } + 3 with its graph. A) B) C) D) E)
D) Match the equation y = ( x + 1 ) ^ { 2 } + 3 with its graph. A) B) C) D) E)
E) Match the equation y = ( x + 1 ) ^ { 2 } + 3 with its graph. A) B) C) D) E)

Correct Answer

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Write x(4−x) =14x ( 4 - x ) = 14 in general form.


A) x2+4x−14=0x ^ { 2 } + 4 x - 14 = 0
B) x2−4x+14=0x ^ { 2 } - 4 x + 14 = 0
C) (4−x) =14x2( 4 - x ) = \frac { 14 } { x ^ { 2 } }
D) 3x−14=03 x - 14 = 0
E) x2+4x+14=0x ^ { 2 } + 4 x + 14 = 0

Correct Answer

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Graph the solution to the inequality on the real line. 3x−6≥−1\frac { 3 } { x - 6 } \geq - 1


A) Graph the solution to the inequality on the real line. \frac { 3 } { x - 6 } \geq - 1 A) B) C) D) E) none of these
B) Graph the solution to the inequality on the real line. \frac { 3 } { x - 6 } \geq - 1 A) B) C) D) E) none of these
C) Graph the solution to the inequality on the real line. \frac { 3 } { x - 6 } \geq - 1 A) B) C) D) E) none of these
D) Graph the solution to the inequality on the real line. \frac { 3 } { x - 6 } \geq - 1 A) B) C) D) E) none of these
E) none of these

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Sketch the parabola given by y=−2x2−12x−21y = - 2 x ^ { 2 } - 12 x - 21 and then identify its vertex.


A) vertex: (-2,-2) Sketch the parabola given by y = - 2 x ^ { 2 } - 12 x - 21 and then identify its vertex. A) vertex: (-2,-2) B) vertex: (3,4) C) vertex: (-2,-3) D) vertex: (2,4) E) vertex: (-3,-3)
B) vertex: (3,4) Sketch the parabola given by y = - 2 x ^ { 2 } - 12 x - 21 and then identify its vertex. A) vertex: (-2,-2) B) vertex: (3,4) C) vertex: (-2,-3) D) vertex: (2,4) E) vertex: (-3,-3)
C) vertex: (-2,-3)
Sketch the parabola given by y = - 2 x ^ { 2 } - 12 x - 21 and then identify its vertex. A) vertex: (-2,-2) B) vertex: (3,4) C) vertex: (-2,-3) D) vertex: (2,4) E) vertex: (-3,-3)
D) vertex: (2,4) Sketch the parabola given by y = - 2 x ^ { 2 } - 12 x - 21 and then identify its vertex. A) vertex: (-2,-2) B) vertex: (3,4) C) vertex: (-2,-3) D) vertex: (2,4) E) vertex: (-3,-3)
E) vertex: (-3,-3)
Sketch the parabola given by y = - 2 x ^ { 2 } - 12 x - 21 and then identify its vertex. A) vertex: (-2,-2) B) vertex: (3,4) C) vertex: (-2,-3) D) vertex: (2,4) E) vertex: (-3,-3)

Correct Answer

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Write the equation of the parabola in standard form and find the vertex of its graph. y=x2+10x+16y = x ^ { 2 } + 10 x + 16


A) y=(x+5) 2−9y = ( x + 5 ) ^ { 2 } - 9 ; vertex: (5,−41) ( 5 , - 41 )
B) y=(x−5) 2+11y = ( x - 5 ) ^ { 2 } + 11 ; vertex: (5,41) ( 5,41 )
C) y=(x+8) (x+2) y = ( x + 8 ) ( x + 2 ) ; vertex: (10,16) ( 10,16 )
D) y=(x+5) 2−9y = ( x + 5 ) ^ { 2 } - 9 ; vertex: (−5,−9) ( - 5 , - 9 )
E) y=(x+5) 2+41y = ( x + 5 ) ^ { 2 } + 41 ; vertex: (−5,41) ( - 5,41 )

Correct Answer

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Graph y=−12x2+2x−2y = - \frac { 1 } { 2 } x ^ { 2 } + 2 x - 2 .


A) Graph y = - \frac { 1 } { 2 } x ^ { 2 } + 2 x - 2 . A) B) C) D) E)
B) Graph y = - \frac { 1 } { 2 } x ^ { 2 } + 2 x - 2 . A) B) C) D) E)
C) Graph y = - \frac { 1 } { 2 } x ^ { 2 } + 2 x - 2 . A) B) C) D) E)
D) Graph y = - \frac { 1 } { 2 } x ^ { 2 } + 2 x - 2 . A) B) C) D) E)
E) Graph y = - \frac { 1 } { 2 } x ^ { 2 } + 2 x - 2 . A) B) C) D) E)

Correct Answer

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Find all real and complex solutions of the quadratic equation x2+256=0x ^ { 2 } + 256 = 0 .


A) -256
B) ±256i\pm 256 i
C) ±16\pm 16
D) ±16i\pm 16 i
E) 16i16 i

Correct Answer

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Determine all real values of x for which the function 7x2−13x+17 x ^ { 2 } - 13 x + 1 has the value 3.


A) −137±135714- \frac { 13 } { 7 } \pm \frac { 13 \sqrt { 57 } } { 14 }
B) 1314±5714\frac { 13 } { 14 } \pm \frac { \sqrt { 57 } } { 14 }
C) 137±13577\frac { 13 } { 7 } \pm \frac { 13 \sqrt { 57 } } { 7 }
D) 137±5714\frac { 13 } { 7 } \pm \frac { \sqrt { 57 } } { 14 }
E) −1314±577- \frac { 13 } { 14 } \pm \frac { \sqrt { 57 } } { 7 }

Correct Answer

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