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Solve Radical Equations Solve the radical equation, and check all proposed solutions. - 1+9x=1+x\sqrt { 1 + 9 \sqrt { x } } = 1 + \sqrt { x }


A) {0,49}\{ 0,49 \}
B) {0,12}\left\{ 0 , \frac { 1 } { 2 } \right\}
C) {0,81}\{ 0,81 \}
D) {0,121}\{ 0,121 \} Find the x-intercepts of the graph of the equation.

E) None of the above
F) A) and B)

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Determine the Most Efficient Method to Use When Solving a Quadratic Equation Solve the equation by the method of your choice. - (2x+9) 2=64( 2 x + 9 ) ^ { 2 } = 64


A) {172,12}\left\{ - \frac { 17 } { 2 } , - \frac { 1 } { 2 } \right\}
B) {12,172}\left\{ \frac { 1 } { 2 } , \frac { 17 } { 2 } \right\}
C) {12,0}\left\{ - \frac { 1 } { 2 } , 0 \right\}
D) {552}\left\{ \frac { 55 } { 2 } \right\}

E) A) and B)
F) A) and C)

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Solve Compound Inequalities Solve the compound inequality. Other than \varnothing use interval notation to express the solution set and graph the solution set on a number line. - 195x13419 \leq 5 x - 1 \leq 34  Solve Compound Inequalities Solve the compound inequality. Other than  \varnothing  use interval notation to express the solution set and graph the solution set on a number line. - 19 \leq 5 x - 1 \leq 34     A)   [ 4,7 ]    B)   ( 4,7 )     C)   [ - 7 , - 4 ]    D)   ( - 7 , - 4 )


A) [4,7][ 4,7 ]
 Solve Compound Inequalities Solve the compound inequality. Other than  \varnothing  use interval notation to express the solution set and graph the solution set on a number line. - 19 \leq 5 x - 1 \leq 34     A)   [ 4,7 ]    B)   ( 4,7 )     C)   [ - 7 , - 4 ]    D)   ( - 7 , - 4 )
B) (4,7) ( 4,7 )
 Solve Compound Inequalities Solve the compound inequality. Other than  \varnothing  use interval notation to express the solution set and graph the solution set on a number line. - 19 \leq 5 x - 1 \leq 34     A)   [ 4,7 ]    B)   ( 4,7 )     C)   [ - 7 , - 4 ]    D)   ( - 7 , - 4 )
C) [7,4][ - 7 , - 4 ]
 Solve Compound Inequalities Solve the compound inequality. Other than  \varnothing  use interval notation to express the solution set and graph the solution set on a number line. - 19 \leq 5 x - 1 \leq 34     A)   [ 4,7 ]    B)   ( 4,7 )     C)   [ - 7 , - 4 ]    D)   ( - 7 , - 4 )
D) (7,4) ( - 7 , - 4 )
 Solve Compound Inequalities Solve the compound inequality. Other than  \varnothing  use interval notation to express the solution set and graph the solution set on a number line. - 19 \leq 5 x - 1 \leq 34     A)   [ 4,7 ]    B)   ( 4,7 )     C)   [ - 7 , - 4 ]    D)   ( - 7 , - 4 )

E) A) and B)
F) B) and C)

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Solve Quadratic Equations by the Square Root Property Solve the equation by the square root property. - (4x+3) 2=7( 4 x + 3 ) ^ { 2 } = 7


A) {374,3+74}\left\{ \frac { - 3 - \sqrt { 7 } } { 4 } , \frac { - 3 + \sqrt { 7 } } { 4 } \right\}
B) {374,3+74}\left\{ \frac { 3 - \sqrt { 7 } } { 4 } , \frac { 3 + \sqrt { 7 } } { 4 } \right\}
C) {734,7+34}\left\{ \frac { \sqrt { 7 } - 3 } { 4 } , \frac { \sqrt { 7 } + 3 } { 4 } \right\}
D) {52,1}\left\{ - \frac { 5 } { 2 } , 1 \right\}

E) B) and D)
F) C) and D)

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Find all values of x satisfying the given conditions. - y1=1x+5,y2=1x+3,y3=2x2+8x+15y _ { 1 } = \frac { 1 } { x + 5 } , y _ { 2 } = \frac { 1 } { x + 3 } , y _ { 3 } = \frac { - 2 } { x ^ { 2 } + 8 x + 15 } , and the sum of y1y _ { 1 } and 2 times y2y _ { 2 } is y3y 3 .


A) {0}\{ 0 \}
B) {5}\{ - 5 \}
C) {3}\{ 3 \}
D) \varnothing

E) B) and C)
F) C) and D)

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Solve the problem. -A car rental agency charges $250 per week plus $0.10 per mile to rent a car. The total cost, C, for the renting the car for one week and driving it x miles can be modeled by the formula C = 0.10x + 250. How Many miles can you travel in one week for $310?


A) 600 miles
B) 575 miles
C) 281 miles
D) 3100 miles

E) C) and D)
F) B) and D)

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Find the product and write the result in standard form. - (5+i) 2(6i) 2( 5 + i ) ^ { 2 } - ( 6 - i ) ^ { 2 }


A) 11+22i- 11 + 22 i
B) 11+22i11 + 22 \mathrm { i }
C) 33- 33
D) 1122i- 11 - 22 \mathrm { i } Complex numbers are used in electronics to describe the current in an electric circuit. Ohm's law relates the current in a circuit, I, in amperes, the voltage of the circuit, E, in volts, and the resistance of the circuit, R, in ohms, by the
Formula E = IR.

E) B) and D)
F) C) and D)

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Solve Linear Equations in One Variable - 5x+12(x+1) =4x+6- 5 x + 1 - 2 ( x + 1 ) = 4 x + 6


A) {711}\left\{ - \frac { 7 } { 11 } \right\}
B) {75}\left\{ - \frac { 7 } { 5 } \right\}
C) {911}\left\{ - \frac { 9 } { 11 } \right\}
D) {95}\left\{ - \frac { 9 } { 5 } \right\}

E) C) and D)
F) A) and B)

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Solve the equation by factoring. - 4x27x=24 x ^ { 2 } - 7 x = 2


A) {14,2}\left\{ - \frac { 1 } { 4 } , 2 \right\}
B) {14,4}\left\{ - \frac { 1 } { 4 } , 4 \right\}
C) {17,14}\left\{ \frac { 1 } { 7 } , - \frac { 1 } { 4 } \right\}
D) {4,2}\{ - 4,2 \}

E) None of the above
F) C) and D)

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Solve Radical Equations Solve the radical equation, and check all proposed solutions. - 8x+20=x\sqrt { 8 x + 20 } = x


A) {10}\{ 10 \}
B) {2,10}\{ - 2,10 \}
C) {207}\left\{ - \frac { 20 } { 7 } \right\}
D) \varnothing

E) None of the above
F) All of the above

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Interpret Information About a Graphing Utility's Viewing Rectangle or Table -Interpret Information About a Graphing Utility's Viewing Rectangle or Table -  A) [-10, 10, 5] by [-200, 200, 20] B) [-40, 40, 10] by [-10, 10, 5] C) [-10, 10, 5] by [-10, 10, 5] D) [-50, 50, 5] by [-50, 50, 5]


A) [-10, 10, 5] by [-200, 200, 20]
B) [-40, 40, 10] by [-10, 10, 5]
C) [-10, 10, 5] by [-10, 10, 5]
D) [-50, 50, 5] by [-50, 50, 5]

E) B) and C)
F) All of the above

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Plot the given point in a rectangular coordinate system. -(0, 3) Plot the given point in a rectangular coordinate system. -(0, 3)    A)    B)    C)    D)


A)
Plot the given point in a rectangular coordinate system. -(0, 3)    A)    B)    C)    D)
B)
Plot the given point in a rectangular coordinate system. -(0, 3)    A)    B)    C)    D)
C)
Plot the given point in a rectangular coordinate system. -(0, 3)    A)    B)    C)    D)
D)
Plot the given point in a rectangular coordinate system. -(0, 3)    A)    B)    C)    D)

E) C) and D)
F) A) and B)

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Recognize Inequalities with No Solution or All Real Numbers as Solutions Solve the linear inequality. Other than ϕ,\phi , , use interval notation to express the solution set and graph the solution set on a number line. - 5(4x+5) 4x<4(6+4x) 65 ( 4 x + 5 ) - 4 x < 4 ( 6 + 4 x ) - 6  Recognize Inequalities with No Solution or All Real Numbers as Solutions Solve the linear inequality. Other than   \phi ,  , use interval notation to express the solution set and graph the solution set on a number line. - 5 ( 4 x + 5 )  - 4 x < 4 ( 6 + 4 x )  - 6     A)   \varnothing    B)   ( - \infty , \infty )     C)   ( - \infty , 5 )     D)   ( 5 , \infty )


A) \varnothing
 Recognize Inequalities with No Solution or All Real Numbers as Solutions Solve the linear inequality. Other than   \phi ,  , use interval notation to express the solution set and graph the solution set on a number line. - 5 ( 4 x + 5 )  - 4 x < 4 ( 6 + 4 x )  - 6     A)   \varnothing    B)   ( - \infty , \infty )     C)   ( - \infty , 5 )     D)   ( 5 , \infty )
B) (,) ( - \infty , \infty )
 Recognize Inequalities with No Solution or All Real Numbers as Solutions Solve the linear inequality. Other than   \phi ,  , use interval notation to express the solution set and graph the solution set on a number line. - 5 ( 4 x + 5 )  - 4 x < 4 ( 6 + 4 x )  - 6     A)   \varnothing    B)   ( - \infty , \infty )     C)   ( - \infty , 5 )     D)   ( 5 , \infty )
C) (,5) ( - \infty , 5 )
 Recognize Inequalities with No Solution or All Real Numbers as Solutions Solve the linear inequality. Other than   \phi ,  , use interval notation to express the solution set and graph the solution set on a number line. - 5 ( 4 x + 5 )  - 4 x < 4 ( 6 + 4 x )  - 6     A)   \varnothing    B)   ( - \infty , \infty )     C)   ( - \infty , 5 )     D)   ( 5 , \infty )
D) (5,) ( 5 , \infty )
 Recognize Inequalities with No Solution or All Real Numbers as Solutions Solve the linear inequality. Other than   \phi ,  , use interval notation to express the solution set and graph the solution set on a number line. - 5 ( 4 x + 5 )  - 4 x < 4 ( 6 + 4 x )  - 6     A)   \varnothing    B)   ( - \infty , \infty )     C)   ( - \infty , 5 )     D)   ( 5 , \infty )

E) A) and D)
F) B) and C)

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Solve Linear Inequalities Solve the linear inequality. Other than ∅, use interval notation to express the solution set and graph the solution set on a number line. - y1=8x1\mathrm { y } _ { 1 } = 8 \mathrm { x } - 1 , y2=7x5\mathrm { y } _ { 2 } = 7 \mathrm { x } - 5 , and y1>y2\mathrm { y } _ { 1 } > \mathrm { y } _ { 2 } .


A) (4,) ( - 4 , \infty )
B) (,4]( - \infty , - 4 ]
C) (6,) ( - 6 , \infty )
D) [4,) [ - 4 , \infty )

E) A) and D)
F) B) and C)

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Use Interval Notation Express the interval in set-builder notation and graph the interval on a number line. - (,95) \left(-\infty, \frac{9}{5}\right)  Use Interval Notation Express the interval in set-builder notation and graph the interval on a number line. - \left(-\infty, \frac{9}{5}\right)     A)   \left\{ x \mid x < \frac { 9 } { 5 } \right\}    B)   \left\{ x \mid x > \frac { 9 } { 5 } \right\}    C)   \left\{ x \mid x \leq \frac { 9 } { 5 } \right\}    D)   \{ x \mid 5 \leq x \leq 9 \}


A) {xx<95}\left\{ x \mid x < \frac { 9 } { 5 } \right\}
 Use Interval Notation Express the interval in set-builder notation and graph the interval on a number line. - \left(-\infty, \frac{9}{5}\right)     A)   \left\{ x \mid x < \frac { 9 } { 5 } \right\}    B)   \left\{ x \mid x > \frac { 9 } { 5 } \right\}    C)   \left\{ x \mid x \leq \frac { 9 } { 5 } \right\}    D)   \{ x \mid 5 \leq x \leq 9 \}
B) {xx>95}\left\{ x \mid x > \frac { 9 } { 5 } \right\}
 Use Interval Notation Express the interval in set-builder notation and graph the interval on a number line. - \left(-\infty, \frac{9}{5}\right)     A)   \left\{ x \mid x < \frac { 9 } { 5 } \right\}    B)   \left\{ x \mid x > \frac { 9 } { 5 } \right\}    C)   \left\{ x \mid x \leq \frac { 9 } { 5 } \right\}    D)   \{ x \mid 5 \leq x \leq 9 \}
C) {xx95}\left\{ x \mid x \leq \frac { 9 } { 5 } \right\}
 Use Interval Notation Express the interval in set-builder notation and graph the interval on a number line. - \left(-\infty, \frac{9}{5}\right)     A)   \left\{ x \mid x < \frac { 9 } { 5 } \right\}    B)   \left\{ x \mid x > \frac { 9 } { 5 } \right\}    C)   \left\{ x \mid x \leq \frac { 9 } { 5 } \right\}    D)   \{ x \mid 5 \leq x \leq 9 \}
D) {x5x9}\{ x \mid 5 \leq x \leq 9 \}
 Use Interval Notation Express the interval in set-builder notation and graph the interval on a number line. - \left(-\infty, \frac{9}{5}\right)     A)   \left\{ x \mid x < \frac { 9 } { 5 } \right\}    B)   \left\{ x \mid x > \frac { 9 } { 5 } \right\}    C)   \left\{ x \mid x \leq \frac { 9 } { 5 } \right\}    D)   \{ x \mid 5 \leq x \leq 9 \}

E) None of the above
F) A) and B)

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Plot the given point in a rectangular coordinate system. -(2, -3) Plot the given point in a rectangular coordinate system. -(2, -3)    A)    B)    C)    D)


A)
Plot the given point in a rectangular coordinate system. -(2, -3)    A)    B)    C)    D)
B)
Plot the given point in a rectangular coordinate system. -(2, -3)    A)    B)    C)    D)
C)
Plot the given point in a rectangular coordinate system. -(2, -3)    A)    B)    C)    D)
D)
Plot the given point in a rectangular coordinate system. -(2, -3)    A)    B)    C)    D)

E) B) and C)
F) A) and D)

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Add or subtract as indicated and write the result in standard form. - 6(69i) (32i) - 6 - ( 6 - 9 i ) - ( 3 - 2 i )


A) 15+11i- 15 + 11 \mathrm { i }
B) 1511i- 15 - 11 \mathrm { i }
C) 911i- 9 - 11 \mathrm { i }
D) 9+11i- 9 + 11 \mathrm { i }

E) A) and B)
F) A) and C)

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Solve the problem. -The revenue for a small company is given by the quadratic function r(t) =5t2+5t+630r ( t ) = 5 t ^ { 2 } + 5 t + 630 where tt is the number of years since 1998 and r(t) \mathrm { r } ( \mathrm { t } ) is in thousands of dollars. If this trend continues, find the year after 1998 in which the company's revenue will be $730\$ 730 thousand. Round to the nearest whole year.


A) 2002
B) 2003
C) 2004
D) 2006

E) C) and D)
F) A) and B)

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Find the product and write the result in standard form. - (9+5i) (47i) ( 9 + 5 i ) ( 4 - 7 i )


A) 7143i71 - 43 \mathrm { i }
B) 71+43i71 + 43 \mathrm { i }
C) 1+83i1 + 83 \mathrm { i }
D) 35i243i+36- 35 i ^ { 2 } - 43 i + 36

E) A) and C)
F) None of the above

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Solve Linear Inequalities Solve the linear inequality. Other than ∅, use interval notation to express the solution set and graph the solution set on a number line. - x38x212+124\frac { x - 3 } { 8 } \geq \frac { x - 2 } { 12 } + \frac { 1 } { 24 }  Solve Linear Inequalities Solve the linear inequality. Other than ∅, use interval notation to express the solution set and graph the solution set on a number line. - \frac { x - 3 } { 8 } \geq \frac { x - 2 } { 12 } + \frac { 1 } { 24 }     A)   [ 6 , \infty )     B)   ( - \infty , 6 ]    C)   ( 6 , \infty )     D)   ( - \infty , 6 )     Use interval notation to represent all values of x satisfying the given conditions.


A) [6,) [ 6 , \infty )
 Solve Linear Inequalities Solve the linear inequality. Other than ∅, use interval notation to express the solution set and graph the solution set on a number line. - \frac { x - 3 } { 8 } \geq \frac { x - 2 } { 12 } + \frac { 1 } { 24 }     A)   [ 6 , \infty )     B)   ( - \infty , 6 ]    C)   ( 6 , \infty )     D)   ( - \infty , 6 )     Use interval notation to represent all values of x satisfying the given conditions.
B) (,6]( - \infty , 6 ]
 Solve Linear Inequalities Solve the linear inequality. Other than ∅, use interval notation to express the solution set and graph the solution set on a number line. - \frac { x - 3 } { 8 } \geq \frac { x - 2 } { 12 } + \frac { 1 } { 24 }     A)   [ 6 , \infty )     B)   ( - \infty , 6 ]    C)   ( 6 , \infty )     D)   ( - \infty , 6 )     Use interval notation to represent all values of x satisfying the given conditions.
C) (6,) ( 6 , \infty )
 Solve Linear Inequalities Solve the linear inequality. Other than ∅, use interval notation to express the solution set and graph the solution set on a number line. - \frac { x - 3 } { 8 } \geq \frac { x - 2 } { 12 } + \frac { 1 } { 24 }     A)   [ 6 , \infty )     B)   ( - \infty , 6 ]    C)   ( 6 , \infty )     D)   ( - \infty , 6 )     Use interval notation to represent all values of x satisfying the given conditions.
D) (,6) ( - \infty , 6 )
 Solve Linear Inequalities Solve the linear inequality. Other than ∅, use interval notation to express the solution set and graph the solution set on a number line. - \frac { x - 3 } { 8 } \geq \frac { x - 2 } { 12 } + \frac { 1 } { 24 }     A)   [ 6 , \infty )     B)   ( - \infty , 6 ]    C)   ( 6 , \infty )     D)   ( - \infty , 6 )     Use interval notation to represent all values of x satisfying the given conditions. Use interval notation to represent all values of x satisfying the given conditions.

E) C) and D)
F) None of the above

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