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Solve the problem. -The formula for converting Fahrenheit temperature, F, to Celsius temperature, C, is C = 5 (F - 32) . 9 If Celsius temperature ranges from -15° to 45°, inclusive, what is the range for the Fahrenheit Temperature?


A) [5°F, 113°F]
B) (5°F, 113°F)
C) [-19°F, -13°F]
D) (-19°F, -13°F)

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

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Perform Operations with Square Roots of Negative Numbers Perform the indicated operations and write the result in standard form. - (3+−3) (5+−2) ( 3 + \sqrt { - 3 } ) ( 5 + \sqrt { - 2 } )


A) (15−6) +(32+53) i( 15 - \sqrt { 6 } ) + ( 3 \sqrt { 2 } + 5 \sqrt { 3 } ) i
B) (15+6) −21i( 15 + \sqrt { 6 } ) - 21 \mathrm { i }
C) 9−86i9 - 8 \sqrt { 6 } \mathrm { i }
D) 21+48i21 + 48 \mathrm { i }

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

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Use Interval Notation Express the interval in set-builder notation and graph the interval on a number line. - [−9,∞) [ - 9 , \infty ) Use Interval Notation Express the interval in set-builder notation and graph the interval on a number line. - [ - 9 , \infty ) A) \{ x \mid x \geq - 9 \} B) \{ x \mid x > - 9 \} C) \{ x \mid x > - 9 \} D) \{ x \mid x \geq - 9 \}


A) {x∣x≥−9}\{ x \mid x \geq - 9 \}
Use Interval Notation Express the interval in set-builder notation and graph the interval on a number line. - [ - 9 , \infty ) A) \{ x \mid x \geq - 9 \} B) \{ x \mid x > - 9 \} C) \{ x \mid x > - 9 \} D) \{ x \mid x \geq - 9 \}
B) {x∣x>−9}\{ x \mid x > - 9 \}
Use Interval Notation Express the interval in set-builder notation and graph the interval on a number line. - [ - 9 , \infty ) A) \{ x \mid x \geq - 9 \} B) \{ x \mid x > - 9 \} C) \{ x \mid x > - 9 \} D) \{ x \mid x \geq - 9 \}
C) {x∣x>−9}\{ x \mid x > - 9 \}
Use Interval Notation Express the interval in set-builder notation and graph the interval on a number line. - [ - 9 , \infty ) A) \{ x \mid x \geq - 9 \} B) \{ x \mid x > - 9 \} C) \{ x \mid x > - 9 \} D) \{ x \mid x \geq - 9 \}
D) {x∣x≥−9}\{ x \mid x \geq - 9 \}
11ecbbca_7ded_8ac7_8887_4b49f3070930_TB1195_11

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

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Solve the polynomial equation by factoring and then using the zero product principle. - x3−4x2−12x=0x ^ { 3 } - 4 x ^ { 2 } - 12 x = 0


A) {0,−2,6}\{ 0 , - 2,6 \}
B) {−2,6}\{ - 2,6 \}
C) {0,2,−6}\{ 0,2 , - 6 \}
D) {2,−6}\{ 2 , - 6 \}

E) All of the above
F) A) and D)

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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. - 2xx−5−xx−8=7x2−13x+40\frac { 2 x } { x - 5 } - \frac { x } { x - 8 } = \frac { 7 } { x ^ { 2 } - 13 x + 40 }


A) {11±1492}\left\{ \frac { 11 \pm \sqrt { 149 } } { 2 } \right\}
B) {−11±1492}\left\{ \frac { - 11 \pm \sqrt { 149 } } { 2 } \right\}
C) {11±932}\left\{ \frac { 11 \pm \sqrt { 93 } } { 2 } \right\}
D) {−11±932}\left\{ \frac { - 11 \pm \sqrt { 93 } } { 2 } \right\}

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

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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. - y=3x2−12x+13y=3 x^{2}-12 x+13 Determine the Most Efficient Method to Use When Solving a Quadratic Equation Solve the equation by the method of your choice. - y=3 x^{2}-12 x+13 A) x-intercepts: none B) x-intercepts: none C) x-intercepts: none D) x-intercepts: none


A) x-intercepts: none
Determine the Most Efficient Method to Use When Solving a Quadratic Equation Solve the equation by the method of your choice. - y=3 x^{2}-12 x+13 A) x-intercepts: none B) x-intercepts: none C) x-intercepts: none D) x-intercepts: none
B) x-intercepts: none
Determine the Most Efficient Method to Use When Solving a Quadratic Equation Solve the equation by the method of your choice. - y=3 x^{2}-12 x+13 A) x-intercepts: none B) x-intercepts: none C) x-intercepts: none D) x-intercepts: none
C) x-intercepts: none
Determine the Most Efficient Method to Use When Solving a Quadratic Equation Solve the equation by the method of your choice. - y=3 x^{2}-12 x+13 A) x-intercepts: none B) x-intercepts: none C) x-intercepts: none D) x-intercepts: none
D) x-intercepts: none
Determine the Most Efficient Method to Use When Solving a Quadratic Equation Solve the equation by the method of your choice. - y=3 x^{2}-12 x+13 A) x-intercepts: none B) x-intercepts: none C) x-intercepts: none D) x-intercepts: none

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

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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, 30, 10] by [-400, 500, 100] B) [-1, 8, 1] by [-1, 8, 1] C) [-1, 5, 1] by [-4, 8, 1] D) [-10, 5, 1] by [-10, 5, 1]


A) [-10, 30, 10] by [-400, 500, 100]
B) [-1, 8, 1] by [-1, 8, 1]
C) [-1, 5, 1] by [-4, 8, 1]
D) [-10, 5, 1] by [-10, 5, 1]

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

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Divide Complex Numbers Divide and express the result in standard form. - 4+5i6−4i\frac { 4 + 5 i } { 6 - 4 i }


A) 113+2326i\frac { 1 } { 13 } + \frac { 23 } { 26 } \mathrm { i }
B) 110+2320i\frac { 1 } { 10 } + \frac { 23 } { 20 } \mathrm { i }
C) 2213−713i\frac { 22 } { 13 } - \frac { 7 } { 13 } \mathrm { i }
D) 115+2320i\frac { 11 } { 5 } + \frac { 23 } { 20 } \mathrm { i }

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

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Solve the problem. -A square sheet of paper measures 50 centimeters on each side. What is the length of the diagonal of this paper?


A) 502 cm50 \sqrt { 2 } \mathrm {~cm}
B) 50 cm50 \mathrm {~cm}
C) 5000 cm5000 \mathrm {~cm}
D) 100 cm100 \mathrm {~cm}

E) B) and C)
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. - 5x2=655 x ^ { 2 } = 65


A) {−13,13}\{ - \sqrt { 13 } , \sqrt { 13 } \}
B) {14}\{ 14 \}
C) {−13,13}\{ - 13,13 \}
D) {32.5}\{ 32.5 \}

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

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Solve the formula for the specified variable. - d=rtd = r t \quad for rr


A) r=dtr = \frac { d } { t }
B) r=dt\mathrm { r } = \mathrm { dt }
C) r=tdr = \frac { t } { d }
D) r=d−t\mathrm { r } = \mathrm { d } - \mathrm { t }

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

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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. - 4x+3<274 x + 3 < 27 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. - 4 x + 3 < 27 A) ( - \infty , 6 ) B) ( 6 , \infty ) C) [ 6 , \infty ) D) ( - \infty , 6 ]


A) (−∞,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. - 4 x + 3 < 27 A) ( - \infty , 6 ) B) ( 6 , \infty ) C) [ 6 , \infty ) D) ( - \infty , 6 ]
B) (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. - 4 x + 3 < 27 A) ( - \infty , 6 ) B) ( 6 , \infty ) C) [ 6 , \infty ) D) ( - \infty , 6 ]
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. - 4 x + 3 < 27 A) ( - \infty , 6 ) B) ( 6 , \infty ) C) [ 6 , \infty ) D) ( - \infty , 6 ]
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. - 4 x + 3 < 27 A) ( - \infty , 6 ) B) ( 6 , \infty ) C) [ 6 , \infty ) D) ( - \infty , 6 ]

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

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Divide Complex Numbers Divide and express the result in standard form. - 9+8i7+5i\frac { 9 + 8 i } { 7 + 5 i }


A) 10374+1174i\frac { 103 } { 74 } + \frac { 11 } { 74 } \mathrm { i }
B) 10324+1124i\frac { 103 } { 24 } + \frac { 11 } { 24 } \mathrm { i }
C) 2374−10174i\frac { 23 } { 74 } - \frac { 101 } { 74 } \mathrm { i }
D) 2324+1124i\frac { 23 } { 24 } + \frac { 11 } { 24 } \mathrm { i }

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

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Use the Discriminant to Determine the Number and Type of Solutions Compute the discriminant. Then determine the number and type of solutions for the given equation. - 6x2=−8x−76 x ^ { 2 } = - 8 x - 7


A) -104; two complex imaginary solutions
B) 232; two unequal real solutions
C) 0 ; one real solution

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

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Interpret Information Given by Graphs The line graph shows the recorded hourly temperatures in degrees Fahrenheit at an airport. Interpret Information Given by Graphs The line graph shows the recorded hourly temperatures in degrees Fahrenheit at an airport. -At what time was the temperature its lowest? A) 9 a.m. B) 6 p.m. C) 4 p.m. D) 1 p.m. -At what time was the temperature its lowest?


A) 9 a.m.
B) 6 p.m.
C) 4 p.m.
D) 1 p.m.

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

Correct Answer

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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. - 11≤32x+8<2311 \leq \frac { 3 } { 2 } x + 8 < 23 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. - 11 \leq \frac { 3 } { 2 } x + 8 < 23 A) [ 2,10 ) B) ( 2,10 ] C) [ 2,3 ) D) ( 2,3 ]


A) [2,10) [ 2,10 )
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. - 11 \leq \frac { 3 } { 2 } x + 8 < 23 A) [ 2,10 ) B) ( 2,10 ] C) [ 2,3 ) D) ( 2,3 ]
B) (2,10]( 2,10 ]
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. - 11 \leq \frac { 3 } { 2 } x + 8 < 23 A) [ 2,10 ) B) ( 2,10 ] C) [ 2,3 ) D) ( 2,3 ]
C) [2,3) [ 2,3 )
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. - 11 \leq \frac { 3 } { 2 } x + 8 < 23 A) [ 2,10 ) B) ( 2,10 ] C) [ 2,3 ) D) ( 2,3 ]
D) (2,3]( 2,3 ]
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. - 11 \leq \frac { 3 } { 2 } x + 8 < 23 A) [ 2,10 ) B) ( 2,10 ] C) [ 2,3 ) D) ( 2,3 ]

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

Correct Answer

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Use Interval Notation Express the interval in set-builder notation and graph the interval on a number line. -[-3, 7] Use Interval Notation Express the interval in set-builder notation and graph the interval on a number line. -[-3, 7] A) \{ x \mid - 3 \leq x \leq 7 \} B) \{ x \mid - 3 < x \leq 7 \} C) \{ x \mid - 3 < x < 7 \} D) \{ x \mid - 3 \leq x < 7 \}


A) {x∣−3≤x≤7}\{ x \mid - 3 \leq x \leq 7 \}
Use Interval Notation Express the interval in set-builder notation and graph the interval on a number line. -[-3, 7] A) \{ x \mid - 3 \leq x \leq 7 \} B) \{ x \mid - 3 < x \leq 7 \} C) \{ x \mid - 3 < x < 7 \} D) \{ x \mid - 3 \leq x < 7 \}
B) {x∣−3<x≤7}\{ x \mid - 3 < x \leq 7 \}
Use Interval Notation Express the interval in set-builder notation and graph the interval on a number line. -[-3, 7] A) \{ x \mid - 3 \leq x \leq 7 \} B) \{ x \mid - 3 < x \leq 7 \} C) \{ x \mid - 3 < x < 7 \} D) \{ x \mid - 3 \leq x < 7 \}
C) {x∣−3<x<7}\{ x \mid - 3 < x < 7 \}
Use Interval Notation Express the interval in set-builder notation and graph the interval on a number line. -[-3, 7] A) \{ x \mid - 3 \leq x \leq 7 \} B) \{ x \mid - 3 < x \leq 7 \} C) \{ x \mid - 3 < x < 7 \} D) \{ x \mid - 3 \leq x < 7 \}
D) {x∣−3≤x<7}\{ x \mid - 3 \leq x < 7 \}
Use Interval Notation Express the interval in set-builder notation and graph the interval on a number line. -[-3, 7] A) \{ x \mid - 3 \leq x \leq 7 \} B) \{ x \mid - 3 < x \leq 7 \} C) \{ x \mid - 3 < x < 7 \} D) \{ x \mid - 3 \leq x < 7 \}

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

Correct Answer

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Solve Equations That Are Quadratic in Form Solve the equation by making an appropriate substitution. - 2x1/2−3x1/4−20=02 x ^ { 1 / 2 } - 3 x ^ { 1 / 4 } - 20 = 0


A) {256}\{ 256 \}
B) {256,62516}\left\{ 256 , \frac { 625 } { 16 } \right\}
C) {−4,−5}\{ - 4 , - 5 \}
D) {4,−52}\left\{ 4 , - \frac { 5 } { 2 } \right\}

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

Correct Answer

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Add or subtract as indicated and write the result in standard form. - 8i+(−6−i) 8 \mathrm { i } + ( - 6 - \mathrm { i } )


A) −6+7i- 6 + 7 i
B) −6+9i- 6 + 9 i
C) 6−7i6 - 7 i
D) 6−9i6 - 9 i

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

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Solve the problem. -Using data from 1996-1998, the annual number of cars sold at a certain dealership can be modeled by the formula Y = 3x + 4, Where y is the number of cars, in thousands, sold x years after 1996. According to this formula, in which Years will the number of cars sold exceed 34 thousand?


A) Years after 2006
B) Years after 2004
C) Years after 2008
D) Years after 2010

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

Correct Answer

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