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Solve the inequality. Graph the solution set and write the solution set in interval notation. - 2x−6<1\frac { 2 } { x - 6 } < 1 Solve the inequality. Graph the solution set and write the solution set in interval notation. - \frac { 2 } { x - 6 } < 1 A) (-\infty, 6) B) ( 6,8 ) C) ( - \infty , 6 ) \cup ( 8 , \infty ) D) ( - \infty , 6 ] \cup [ 8 , \infty )


A) (−∞,6) (-\infty, 6)
Solve the inequality. Graph the solution set and write the solution set in interval notation. - \frac { 2 } { x - 6 } < 1 A) (-\infty, 6) B) ( 6,8 ) C) ( - \infty , 6 ) \cup ( 8 , \infty ) D) ( - \infty , 6 ] \cup [ 8 , \infty )
B) (6,8) ( 6,8 )
Solve the inequality. Graph the solution set and write the solution set in interval notation. - \frac { 2 } { x - 6 } < 1 A) (-\infty, 6) B) ( 6,8 ) C) ( - \infty , 6 ) \cup ( 8 , \infty ) D) ( - \infty , 6 ] \cup [ 8 , \infty )
C) (−∞,6) ∪(8,∞) ( - \infty , 6 ) \cup ( 8 , \infty )
Solve the inequality. Graph the solution set and write the solution set in interval notation. - \frac { 2 } { x - 6 } < 1 A) (-\infty, 6) B) ( 6,8 ) C) ( - \infty , 6 ) \cup ( 8 , \infty ) D) ( - \infty , 6 ] \cup [ 8 , \infty )
D) (−∞,6]∪[8,∞) ( - \infty , 6 ] \cup [ 8 , \infty )
Solve the inequality. Graph the solution set and write the solution set in interval notation. - \frac { 2 } { x - 6 } < 1 A) (-\infty, 6) B) ( 6,8 ) C) ( - \infty , 6 ) \cup ( 8 , \infty ) D) ( - \infty , 6 ] \cup [ 8 , \infty )

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Solve the inequality. Graph the solution set and write the solution set in interval notation. - −3−3x−7>0\frac { - 3 } { - 3 x - 7 } > 0 Solve the inequality. Graph the solution set and write the solution set in interval notation. - \frac { - 3 } { - 3 x - 7 } > 0 A) ( 0 , \infty ) B) \left( - \infty , \frac { 7 } { 3 } \right) C) \left( - \frac { 7 } { 3 } , \infty \right) D) \left( - \infty , - \frac { 3 } { 7 } \right)


A) (0,∞) ( 0 , \infty )
Solve the inequality. Graph the solution set and write the solution set in interval notation. - \frac { - 3 } { - 3 x - 7 } > 0 A) ( 0 , \infty ) B) \left( - \infty , \frac { 7 } { 3 } \right) C) \left( - \frac { 7 } { 3 } , \infty \right) D) \left( - \infty , - \frac { 3 } { 7 } \right)
B) (−∞,73) \left( - \infty , \frac { 7 } { 3 } \right)
Solve the inequality. Graph the solution set and write the solution set in interval notation. - \frac { - 3 } { - 3 x - 7 } > 0 A) ( 0 , \infty ) B) \left( - \infty , \frac { 7 } { 3 } \right) C) \left( - \frac { 7 } { 3 } , \infty \right) D) \left( - \infty , - \frac { 3 } { 7 } \right)
C) (−73,∞) \left( - \frac { 7 } { 3 } , \infty \right)
Solve the inequality. Graph the solution set and write the solution set in interval notation. - \frac { - 3 } { - 3 x - 7 } > 0 A) ( 0 , \infty ) B) \left( - \infty , \frac { 7 } { 3 } \right) C) \left( - \frac { 7 } { 3 } , \infty \right) D) \left( - \infty , - \frac { 3 } { 7 } \right)
D) (−∞,−37) \left( - \infty , - \frac { 3 } { 7 } \right)
Solve the inequality. Graph the solution set and write the solution set in interval notation. - \frac { - 3 } { - 3 x - 7 } > 0 A) ( 0 , \infty ) B) \left( - \infty , \frac { 7 } { 3 } \right) C) \left( - \frac { 7 } { 3 } , \infty \right) D) \left( - \infty , - \frac { 3 } { 7 } \right)

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Use the square root property to solve the equation. - x2=112x ^ { 2 } = 112


A) 56
B) 14
C) −47,47- 4 \sqrt { 7 } , 4 \sqrt { 7 }
D) 474 \sqrt { 7 }

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Solve the equation. - x5+4x4=x+4x ^ { 5 } + 4 x ^ { 4 } = x + 4


A) −1,1,−i,i,−4- 1,1 , - i , i , - 4
B) ∅\varnothing
C) 1,i,−41 , i , - 4
D) −1,1,−4- 1,1 , - 4

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A

Use the square root property to solve the equation. - 5x2+55=05 x ^ { 2 } + 55 = 0


A) −i11,i11- \mathrm { i } \sqrt { 11 } , \mathrm { i } \sqrt { 11 }
B) −11,11- \sqrt { 11 } , \sqrt { 11 }
C) −11,11- 11,11
D) −11i,11i- 11 \mathrm { i } , 11 \mathrm { i }

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Solve. -Given the diagram shown, approximate to the nearest meter, how many meters of walking distance a person saves by cutting across the lawn instead of walking on the sidewalk. Solve. -Given the diagram shown, approximate to the nearest meter, how many meters of walking distance a person saves by cutting across the lawn instead of walking on the sidewalk. A) 21 \mathrm {~m} B) 33 \mathrm {~m} C) 10 \mathrm {~m} D) 9 \mathrm {~m}


A) 21 m21 \mathrm {~m}
B) 33 m33 \mathrm {~m}
C) 10 m10 \mathrm {~m}
D) 9 m9 \mathrm {~m}

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Match the function with its graph. - f(x) =x2−2x−8f ( x ) = x ^ { 2 } - 2 x - 8


A)
Match the function with its graph. - f ( x ) = x ^ { 2 } - 2 x - 8 A) B) C) D)
B)
Match the function with its graph. - f ( x ) = x ^ { 2 } - 2 x - 8 A) B) C) D)
C)
Match the function with its graph. - f ( x ) = x ^ { 2 } - 2 x - 8 A) B) C) D)
D)
Match the function with its graph. - f ( x ) = x ^ { 2 } - 2 x - 8 A) B) C) D)

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D

Graph the function. Find the vertex. - G(x) =3(x−3) 2−1G(x) =3(x-3) ^{2}-1 Graph the function. Find the vertex. - G(x) =3(x-3) ^{2}-1 A) vertex: ( 1 , - 3 ) B) vertex: ( - 3 , - 1 ) C) vertex: ( 3 , - 1 ) D) vertex: ( - 1,3 )


A) vertex: (1,−3) ( 1 , - 3 )
Graph the function. Find the vertex. - G(x) =3(x-3) ^{2}-1 A) vertex: ( 1 , - 3 ) B) vertex: ( - 3 , - 1 ) C) vertex: ( 3 , - 1 ) D) vertex: ( - 1,3 )
B) vertex: (−3,−1) ( - 3 , - 1 )
Graph the function. Find the vertex. - G(x) =3(x-3) ^{2}-1 A) vertex: ( 1 , - 3 ) B) vertex: ( - 3 , - 1 ) C) vertex: ( 3 , - 1 ) D) vertex: ( - 1,3 )
C) vertex: (3,−1) ( 3 , - 1 )
Graph the function. Find the vertex. - G(x) =3(x-3) ^{2}-1 A) vertex: ( 1 , - 3 ) B) vertex: ( - 3 , - 1 ) C) vertex: ( 3 , - 1 ) D) vertex: ( - 1,3 )
D) vertex: (−1,3) ( - 1,3 )
Graph the function. Find the vertex. - G(x) =3(x-3) ^{2}-1 A) vertex: ( 1 , - 3 ) B) vertex: ( - 3 , - 1 ) C) vertex: ( 3 , - 1 ) D) vertex: ( - 1,3 )

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Given the accompanying graph of y = f(x) , sketch the graph of the following. - y=f(x+3) −5y = f ( x + 3 ) - 5 Given the accompanying graph of y = f(x) , sketch the graph of the following. - y = f ( x + 3 ) - 5 y = f ( x ) A) B) C) D) y=f(x) y = f ( x )


A)
Given the accompanying graph of y = f(x) , sketch the graph of the following. - y = f ( x + 3 ) - 5 y = f ( x ) A) B) C) D)

B)
Given the accompanying graph of y = f(x) , sketch the graph of the following. - y = f ( x + 3 ) - 5 y = f ( x ) A) B) C) D)
C)
Given the accompanying graph of y = f(x) , sketch the graph of the following. - y = f ( x + 3 ) - 5 y = f ( x ) A) B) C) D)
D)
Given the accompanying graph of y = f(x) , sketch the graph of the following. - y = f ( x + 3 ) - 5 y = f ( x ) A) B) C) D)

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Solve. -Find two numbers whose sum is 56 and whose product is as large as possible. [Hint: Let xx and 56−x56 - x be the two numbers. Their product can be described by the function f(x) =x(56−x) f ( x ) = x ( 56 - x ) .]


A) 28 and 84
B) 128\frac { 1 } { 28 } and 1328\frac { 13 } { 28 }
C) 28 and 28
D) 27 and 29

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Match the function with its graph. - f(x) =x2−4xf ( x ) = x ^ { 2 } - 4 x


A)
Match the function with its graph. - f ( x ) = x ^ { 2 } - 4 x A) B) C) D)
B)
Match the function with its graph. - f ( x ) = x ^ { 2 } - 4 x A) B) C) D)
C)
Match the function with its graph. - f ( x ) = x ^ { 2 } - 4 x A) B) C) D)
D)
Match the function with its graph. - f ( x ) = x ^ { 2 } - 4 x A) B) C) D)

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Graph the function. Find the vertex, y-intercept, and x-intercepts (if any) . - F(x) =2x2−4x+5F(x) =2 x^{2}-4 x+5 Graph the function. Find the vertex, y-intercept, and x-intercepts (if any) . - F(x) =2 x^{2}-4 x+5 A) vertex: ( 1,3 ) x-intercept: ( 0,0 ) , y -intercept: ( 0,5 ) B) vertex: ( 1,3 ) x -intercept: none, y -intercept: ( 0,5 ) C) vertex: ( 1,3 ) x -intercept: none, y -intercept: ( 0,5 ) D) vertex: ( 1,3 ) x -intercept: ( 5,0 ) , y -intercept: none


A) vertex: (1,3) ( 1,3 )
x-intercept: (0,0) ,y( 0,0 ) , y -intercept: (0,5) ( 0,5 )
Graph the function. Find the vertex, y-intercept, and x-intercepts (if any) . - F(x) =2 x^{2}-4 x+5 A) vertex: ( 1,3 ) x-intercept: ( 0,0 ) , y -intercept: ( 0,5 ) B) vertex: ( 1,3 ) x -intercept: none, y -intercept: ( 0,5 ) C) vertex: ( 1,3 ) x -intercept: none, y -intercept: ( 0,5 ) D) vertex: ( 1,3 ) x -intercept: ( 5,0 ) , y -intercept: none

B) vertex: (1,3) ( 1,3 )
xx -intercept: none, yy -intercept: (0,5) ( 0,5 )
Graph the function. Find the vertex, y-intercept, and x-intercepts (if any) . - F(x) =2 x^{2}-4 x+5 A) vertex: ( 1,3 ) x-intercept: ( 0,0 ) , y -intercept: ( 0,5 ) B) vertex: ( 1,3 ) x -intercept: none, y -intercept: ( 0,5 ) C) vertex: ( 1,3 ) x -intercept: none, y -intercept: ( 0,5 ) D) vertex: ( 1,3 ) x -intercept: ( 5,0 ) , y -intercept: none

C) vertex: (1,3) ( 1,3 )
xx -intercept: none, yy -intercept: (0,5) ( 0,5 )
Graph the function. Find the vertex, y-intercept, and x-intercepts (if any) . - F(x) =2 x^{2}-4 x+5 A) vertex: ( 1,3 ) x-intercept: ( 0,0 ) , y -intercept: ( 0,5 ) B) vertex: ( 1,3 ) x -intercept: none, y -intercept: ( 0,5 ) C) vertex: ( 1,3 ) x -intercept: none, y -intercept: ( 0,5 ) D) vertex: ( 1,3 ) x -intercept: ( 5,0 ) , y -intercept: none

D) vertex: (1,3) ( 1,3 )
xx -intercept: (5,0) ,y( 5,0 ) , y -intercept: none
Graph the function. Find the vertex, y-intercept, and x-intercepts (if any) . - F(x) =2 x^{2}-4 x+5 A) vertex: ( 1,3 ) x-intercept: ( 0,0 ) , y -intercept: ( 0,5 ) B) vertex: ( 1,3 ) x -intercept: none, y -intercept: ( 0,5 ) C) vertex: ( 1,3 ) x -intercept: none, y -intercept: ( 0,5 ) D) vertex: ( 1,3 ) x -intercept: ( 5,0 ) , y -intercept: none

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Solve. - x−2+4x−1+3=0x ^ { - 2 } + 4 x ^ { - 1 } + 3 = 0


A) −1,−3- 1 , - 3
B) 1,3
C) 13,1\frac { 1 } { 3 } , 1
D) −13,−1- \frac { 1 } { 3 } , - 1

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Sketch the graph of the quadratic function by finding the vertex, intercepts, and determining if the graph opens upward or downward. - f(x) =−x2+4x−3f(x) =-x^{2}+4 x-3 Sketch the graph of the quadratic function by finding the vertex, intercepts, and determining if the graph opens upward or downward. - f(x) =-x^{2}+4 x-3 A) B) C) D)


A)
Sketch the graph of the quadratic function by finding the vertex, intercepts, and determining if the graph opens upward or downward. - f(x) =-x^{2}+4 x-3 A) B) C) D)
B)
Sketch the graph of the quadratic function by finding the vertex, intercepts, and determining if the graph opens upward or downward. - f(x) =-x^{2}+4 x-3 A) B) C) D)
C)
Sketch the graph of the quadratic function by finding the vertex, intercepts, and determining if the graph opens upward or downward. - f(x) =-x^{2}+4 x-3 A) B) C) D)
D)
Sketch the graph of the quadratic function by finding the vertex, intercepts, and determining if the graph opens upward or downward. - f(x) =-x^{2}+4 x-3 A) B) C) D)

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Sketch the graph of the quadratic function. Give the vertex and axis of symmetry. - f(x) =3x2+5f(x) =3 x^{2}+5 Sketch the graph of the quadratic function. Give the vertex and axis of symmetry. - f(x) =3 x^{2}+5 A) vertex ( 5,0 ) ; axis x = 5 B) vertex ( 0,5 ) ; axis x = 5 C) vertex ( 0,5 ) ; axis x = 0 D) vertex ( 0,5 ) ; axis x = 0


A) vertex (5,0) ( 5,0 ) ; axis x=5x = 5
Sketch the graph of the quadratic function. Give the vertex and axis of symmetry. - f(x) =3 x^{2}+5 A) vertex ( 5,0 ) ; axis x = 5 B) vertex ( 0,5 ) ; axis x = 5 C) vertex ( 0,5 ) ; axis x = 0 D) vertex ( 0,5 ) ; axis x = 0
B) vertex (0,5) ( 0,5 ) ; axis x=5x = 5
Sketch the graph of the quadratic function. Give the vertex and axis of symmetry. - f(x) =3 x^{2}+5 A) vertex ( 5,0 ) ; axis x = 5 B) vertex ( 0,5 ) ; axis x = 5 C) vertex ( 0,5 ) ; axis x = 0 D) vertex ( 0,5 ) ; axis x = 0
C) vertex (0,5) ( 0,5 ) ; axis x=0x = 0
Sketch the graph of the quadratic function. Give the vertex and axis of symmetry. - f(x) =3 x^{2}+5 A) vertex ( 5,0 ) ; axis x = 5 B) vertex ( 0,5 ) ; axis x = 5 C) vertex ( 0,5 ) ; axis x = 0 D) vertex ( 0,5 ) ; axis x = 0
D) vertex (0,5) ( 0,5 ) ; axis x=0x = 0
Sketch the graph of the quadratic function. Give the vertex and axis of symmetry. - f(x) =3 x^{2}+5 A) vertex ( 5,0 ) ; axis x = 5 B) vertex ( 0,5 ) ; axis x = 5 C) vertex ( 0,5 ) ; axis x = 0 D) vertex ( 0,5 ) ; axis x = 0

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Solve. -The hypotenuse of an isosceles right triangle is 6 feet longer than either of its legs. Find the exact length of each side.


A) 6ft,6ft,12ft6 \mathrm { ft } , 6 \mathrm { ft } , 12 \mathrm { ft }
B) 62ft,62ft,(6+62) ft6 \sqrt { 2 } \mathrm { ft } , 6 \sqrt { 2 } \mathrm { ft } , ( 6 + 6 \sqrt { 2 } ) \mathrm { ft }
C) (6+62) ft,(6+62) ft,(12+62) ft( 6 + 6 \sqrt { 2 } ) \mathrm { ft } , ( 6 + 6 \sqrt { 2 } ) \mathrm { ft } , ( 12 + 6 \sqrt { 2 } ) \mathrm { ft }
D) (6+2) ft,(6+2) ft,(12+2) ft( 6 + \sqrt { 2 } ) \mathrm { ft } , ( 6 + \sqrt { 2 } ) \mathrm { ft } , ( 12 + \sqrt { 2 } ) \mathrm { ft }

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C

Use the square root property to solve the equation. - (3x+4) 2=5( 3 x + 4 ) ^ { 2 } = 5


A) 5−43,5+43\frac { \sqrt { 5 } - 4 } { 3 } , \frac { \sqrt { 5 } + 4 } { 3 }
B) −3,13- 3 , \frac { 1 } { 3 }
C) 4−53,4+53\frac { 4 - \sqrt { 5 } } { 3 } , \frac { 4 + \sqrt { 5 } } { 3 }
D) −4−53,−4+53\frac { - 4 - \sqrt { 5 } } { 3 } , \frac { - 4 + \sqrt { 5 } } { 3 }

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Solve. -The cost in millions of dollars for a company to manufacture xx thousand automobiles is given by the function C(x) =4x2−40x+200C ( x ) = 4 x ^ { 2 } - 40 x + 200 . Find the number of automobiles that must be produced to minimize the cost.


A) 5 thousand automobiles
B) 10 thousand automobiles
C) 20 thousand automobiles
D) 100 thousand automobiles

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Sketch the graph of the quadratic function. Give the vertex and axis of symmetry. - f(x) =x2+1f(x) =x^{2}+1 Sketch the graph of the quadratic function. Give the vertex and axis of symmetry. - f(x) =x^{2}+1 A) vertex ( - 1,0 ) ; axis x = - 1 B) vertex ( 0 , - 1 ) ; axis x = 0 C) vertex ( 0,1 ) ; axis x = 0 D) vertex ( 1,0 ) ; axis x = 1


A) vertex (−1,0) ( - 1,0 ) ; axis x=−1x = - 1
Sketch the graph of the quadratic function. Give the vertex and axis of symmetry. - f(x) =x^{2}+1 A) vertex ( - 1,0 ) ; axis x = - 1 B) vertex ( 0 , - 1 ) ; axis x = 0 C) vertex ( 0,1 ) ; axis x = 0 D) vertex ( 1,0 ) ; axis x = 1
B) vertex (0,−1) ( 0 , - 1 ) ; axis x=0x = 0
Sketch the graph of the quadratic function. Give the vertex and axis of symmetry. - f(x) =x^{2}+1 A) vertex ( - 1,0 ) ; axis x = - 1 B) vertex ( 0 , - 1 ) ; axis x = 0 C) vertex ( 0,1 ) ; axis x = 0 D) vertex ( 1,0 ) ; axis x = 1
C) vertex (0,1) ( 0,1 ) ; axis x=0x = 0
Sketch the graph of the quadratic function. Give the vertex and axis of symmetry. - f(x) =x^{2}+1 A) vertex ( - 1,0 ) ; axis x = - 1 B) vertex ( 0 , - 1 ) ; axis x = 0 C) vertex ( 0,1 ) ; axis x = 0 D) vertex ( 1,0 ) ; axis x = 1
D) vertex (1,0) ( 1,0 ) ; axis x=1x = 1
Sketch the graph of the quadratic function. Give the vertex and axis of symmetry. - f(x) =x^{2}+1 A) vertex ( - 1,0 ) ; axis x = - 1 B) vertex ( 0 , - 1 ) ; axis x = 0 C) vertex ( 0,1 ) ; axis x = 0 D) vertex ( 1,0 ) ; axis x = 1

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


A) 2\sqrt { 2 }
B) −2,2- \sqrt { 2 } , \sqrt { 2 }
C) 1
D) 4

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