Question 1

Solve.
-Bill can row 3 mph in still water. It takes him 3 hours 36 minutes to go 3 miles upstream and return. Find the speed of the current.

Accepted Answer

A) 1.5 mph 
B) 2.5 mph 
C) 2 mph 
D) 3 mph 
A) 1.5 mph 
B) 2.5 mph 
C) 2 mph 
D) 3 mph

Question 2

Solve. Give exact solutions.
-$$x ^ { 2 } + 8 x + 16 = 17$$

Accepted Answer

A)  $\sqrt { 17 } , \sqrt { 17 }$ 
B)  13 
C)  $- 4 + \sqrt { 17 } , - 4 - \sqrt { 17 }$ 
D)  $4 + \sqrt { 17 } , 4 - \sqrt { 17 }$ 
A)  $\sqrt { 17 } , \sqrt { 17 }$ 
B)  13 
C)  $- 4 + \sqrt { 17 } , - 4 - \sqrt { 17 }$ 
D)  $4 + \sqrt { 17 } , 4 - \sqrt { 17 }$

Question 3

Find the x-intercepts.
-$$f ( x ) = 3 x ^ { 2 } - 5 x - 1$$

Accepted Answer

A)  $\left( \frac { 5 + \sqrt { 37 } } { 6 } , 0 \right)$ and $\left( \frac { 5 - \sqrt { 37 } } { 6 } , 0 \right)$ 
B)  $\left( \frac { - 5 + \sqrt { 37 } } { 6 } , 0 \right)$ and $\left( \frac { - 5 - \sqrt { 37 } } { 6 } , 0 \right)$ 
C)  $\left( \frac { 5 + \sqrt { 13 } } { 6 } , 0 \right)$ and $\left( \frac { 5 - \sqrt { 13 } } { 6 } , 0 \right\}$ 
D)  $\left\{ \frac { - 5 + \sqrt { 13 } } { 6 } , 0 \right)$ and $\left( \frac { - 5 - \sqrt { 13 } } { 6 } , 0 \right)$ 
A)  $\left( \frac { 5 + \sqrt { 37 } } { 6 } , 0 \right)$ and $\left( \frac { 5 - \sqrt { 37 } } { 6 } , 0 \right)$ 
B)  $\left( \frac { - 5 + \sqrt { 37 } } { 6 } , 0 \right)$ and $\left( \frac { - 5 - \sqrt { 37 } } { 6 } , 0 \right)$ 
C)  $\left( \frac { 5 + \sqrt { 13 } } { 6 } , 0 \right)$ and $\left( \frac { 5 - \sqrt { 13 } } { 6 } , 0 \right\}$ 
D)  $\left\{ \frac { - 5 + \sqrt { 13 } } { 6 } , 0 \right)$ and $\left( \frac { - 5 - \sqrt { 13 } } { 6 } , 0 \right)$

Question 4

Solve. Give exact solutions.
-$$( r + 4 ) ^ { 2 } = 17$$

Accepted Answer

A)  $- 4 + \sqrt { 17 } , - 4 - \sqrt { 17 }$ 
B)  $\sqrt { 17 } , \sqrt { 17 }$ 
C)  13 
D)  $4 + \sqrt { 17 } , 4 - \sqrt { 17 }$ 
A)  $- 4 + \sqrt { 17 } , - 4 - \sqrt { 17 }$ 
B)  $\sqrt { 17 } , \sqrt { 17 }$ 
C)  13 
D)  $4 + \sqrt { 17 } , 4 - \sqrt { 17 }$

Question 5

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

Accepted Answer

A)  $\frac { 1 } { 2 } \pm \frac { \sqrt { 15 } } { 2 }$ i 
B)  $- \frac { 1 } { 2 } \pm \frac { \sqrt { 15 } } { 2 } i$ 
C)  $- \frac { 1 } { 2 } \pm \frac { \sqrt { 15 } } { 2 }$ 
D)  $\frac { 1 } { 2 } \pm \frac { \sqrt { 15 } } { 2 }$ 
A)  $\frac { 1 } { 2 } \pm \frac { \sqrt { 15 } } { 2 }$ i 
B)  $- \frac { 1 } { 2 } \pm \frac { \sqrt { 15 } } { 2 } i$ 
C)  $- \frac { 1 } { 2 } \pm \frac { \sqrt { 15 } } { 2 }$ 
D)  $\frac { 1 } { 2 } \pm \frac { \sqrt { 15 } } { 2 }$

Question 6

Solve.
-Sue rowed her boat across Lake Bend and back in 3 hours. If her rate returning was 2 mph less than the rate going, and if the distance each way was 7 miles, find her rate going.

Accepted Answer

A) 1.5 mph 
B) 3.7 mph 
C) 5.5 mph 
D) 5.9 mph 
A) 1.5 mph 
B) 3.7 mph 
C) 5.5 mph 
D) 5.9 mph

Question 7

Find the x-intercepts.
-$$f ( x ) = 2 x ^ { 2 } - 3 x - 4$$

Accepted Answer

A)  $\left( \frac { 3 + \sqrt { 41 } } { 4 } , 0 \right)$ and $\left( \frac { 3 - \sqrt { 41 } } { 4 } , 0 \right)$ 
B)  No x-intercepts 
C)  $\left( \frac { 3 + \sqrt { 29 } } { 4 } , 0 \right)$ and $\left( \frac { 3 - \sqrt { 29 } } { 4 } , 0 \right)$ 
D)  $( 0,0 )$ and $( 4,0 )$ 
A)  $\left( \frac { 3 + \sqrt { 41 } } { 4 } , 0 \right)$ and $\left( \frac { 3 - \sqrt { 41 } } { 4 } , 0 \right)$ 
B)  No x-intercepts 
C)  $\left( \frac { 3 + \sqrt { 29 } } { 4 } , 0 \right)$ and $\left( \frac { 3 - \sqrt { 29 } } { 4 } , 0 \right)$ 
D)  $( 0,0 )$ and $( 4,0 )$

Question 8

Solve.
-$38 m ^ { 2 } + 48 m + 11 = 0$

Accepted Answer

A)  $\frac { - 24 \pm \sqrt { 994 } } { 38 }$ 
B)  $\frac { - 24 \pm \sqrt { 158 } } { 76 }$ 
C)  $\frac { - 48 \pm \sqrt { 158 } } { 38 }$ 
D)  $\frac { - 24 \pm \sqrt { 158 } } { 38 }$ 
A)  $\frac { - 24 \pm \sqrt { 994 } } { 38 }$ 
B)  $\frac { - 24 \pm \sqrt { 158 } } { 76 }$ 
C)  $\frac { - 48 \pm \sqrt { 158 } } { 38 }$ 
D)  $\frac { - 24 \pm \sqrt { 158 } } { 38 }$

Question 9

Solve. Give exact solutions.
-$$x ^ { 2 } = 100$$

Accepted Answer

A)  50 
B)  $\pm 11$ 
C)  $\pm 10$ 
D)  10 
A)  50 
B)  $\pm 11$ 
C)  $\pm 10$ 
D)  10

Question 10

Solve by completing the square.
-$$x ^ { 2 } + 5 x - 5 = 0$$

Accepted Answer

A)  $- 5 \pm 3 \sqrt { 5 }$ 
B)  $\frac { - 5 - 3 \sqrt { 5 } } { 2 }$ 
C)  $\frac { - 5 \pm 3 \sqrt { 5 } } { 2 }$ 
D)  $\frac { 5 + 3 \sqrt { 5 } } { 2 }$ 
A)  $- 5 \pm 3 \sqrt { 5 }$ 
B)  $\frac { - 5 - 3 \sqrt { 5 } } { 2 }$ 
C)  $\frac { - 5 \pm 3 \sqrt { 5 } } { 2 }$ 
D)  $\frac { 5 + 3 \sqrt { 5 } } { 2 }$

Question 11

Solve. Give exact solutions.
-$$x ^ { 2 } + 8 x + 16 = 24$$

Accepted Answer

A)  $2 \sqrt { 6 } - 4,2 \sqrt { 6 } + 4$ 
B)  $2 \sqrt { 6 } , - 2 \sqrt { 6 }$ 
C)  $- 4 + 2 \sqrt { 12 } , - 4 - 2 \sqrt { 12 }$ 
D)  $- 4 + 2 \sqrt { 6 } , - 4 - 2 \sqrt { 6 }$ 
A)  $2 \sqrt { 6 } - 4,2 \sqrt { 6 } + 4$ 
B)  $2 \sqrt { 6 } , - 2 \sqrt { 6 }$ 
C)  $- 4 + 2 \sqrt { 12 } , - 4 - 2 \sqrt { 12 }$ 
D)  $- 4 + 2 \sqrt { 6 } , - 4 - 2 \sqrt { 6 }$

Question 12

Solve.
-$$3 = - \frac { 8 } { x } - \frac { 1 } { x ^ { 2 } }$$

Accepted Answer

A)  $\frac { - 4 \pm \sqrt { 19 } } { 3 }$ 
B)  $\frac { - 4 \pm \sqrt { 13 } } { 3 }$ 
C)  $\frac { - 4 \pm \sqrt { 13 } } { 6 }$ 
D)  $\frac { - 8 \pm \sqrt { 13 } } { 3 }$ 
A)  $\frac { - 4 \pm \sqrt { 19 } } { 3 }$ 
B)  $\frac { - 4 \pm \sqrt { 13 } } { 3 }$ 
C)  $\frac { - 4 \pm \sqrt { 13 } } { 6 }$ 
D)  $\frac { - 8 \pm \sqrt { 13 } } { 3 }$

Question 13

Solve.
-A ladder is resting against a wall. The top of the ladder touches the wall at a height of 6 ft. Find the length of the ladder if the length is 2 ft more than its distance from the wall.

Accepted Answer

A) 10 ft 
B) 6 ft 
C) 12 ft 
D) 8 ft 
A) 10 ft 
B) 6 ft 
C) 12 ft 
D) 8 ft

Question 14

Solve.
-$$4 x ^ { 2 } - 3 x = - 4$$

Accepted Answer

A)  $- \frac { 3 } { 8 } \pm \frac { \sqrt { 55 } } { 8 } i$ 
B)  $- \frac { 3 } { 8 } \pm \frac { \sqrt { 55 } } { 8 }$ 
C)  $\frac { 3 } { 8 } \pm \frac { \sqrt { 55 } } { 8 }$ 
D)  $\frac { 3 } { 8 } \pm \frac { \sqrt { 55 } } { 8 } \mathrm { i }$ 
A)  $- \frac { 3 } { 8 } \pm \frac { \sqrt { 55 } } { 8 } i$ 
B)  $- \frac { 3 } { 8 } \pm \frac { \sqrt { 55 } } { 8 }$ 
C)  $\frac { 3 } { 8 } \pm \frac { \sqrt { 55 } } { 8 }$ 
D)  $\frac { 3 } { 8 } \pm \frac { \sqrt { 55 } } { 8 } \mathrm { i }$

Question 15

Solve the equation by completing the square.
-$$\mathrm { p } ^ { 2 } + 5 \mathrm { p } - 5 = 0$$

Accepted Answer

A)  $- \frac { 5 } { 2 } \pm \frac { 3 \sqrt { 5 } } { 2 }$ 
B)  $- \frac { 5 } { 2 } + \frac { 3 \sqrt { 5 } } { 2 }$ 
C)  $- 5 \pm 3 \sqrt { 5 }$ 
D)  $\frac { 5 } { 2 } \pm \frac { 3 \sqrt { 5 } } { 2 }$ 
A)  $- \frac { 5 } { 2 } \pm \frac { 3 \sqrt { 5 } } { 2 }$ 
B)  $- \frac { 5 } { 2 } + \frac { 3 \sqrt { 5 } } { 2 }$ 
C)  $- 5 \pm 3 \sqrt { 5 }$ 
D)  $\frac { 5 } { 2 } \pm \frac { 3 \sqrt { 5 } } { 2 }$

Question 16

Find the x-intercepts.
-$$f ( x ) = 2 x ^ { 2 } - 10 x + 12$$

Accepted Answer

A)  $x$-intercepts $( - 3,0 )$ and $( - 2,0 )$ 
B)  $x$-intercepts $( 3,0 )$ and $( - 2,0 )$ 
C)  $x$-intercepts $( 3,0 )$ and $( 2,0 )$ 
D)  $x$-intercepts $( - 3,0 )$ and $( 2,0 )$ 
A)  $x$-intercepts $( - 3,0 )$ and $( - 2,0 )$ 
B)  $x$-intercepts $( 3,0 )$ and $( - 2,0 )$ 
C)  $x$-intercepts $( 3,0 )$ and $( 2,0 )$ 
D)  $x$-intercepts $( - 3,0 )$ and $( 2,0 )$

Question 17

Solve. Give exact solutions.
-$$4 x ^ { 2 } = 44$$

Accepted Answer

A)  12 
B)  22 
C)  $\pm \sqrt { 11 }$ 
D)  $\pm 11$ 
A)  12 
B)  22 
C)  $\pm \sqrt { 11 }$ 
D)  $\pm 11$

Question 18

Solve.
-A jet plane traveling at a constant speed goes 1200 miles with the wind, then turns around and travels for 1000 miles against the wind. If the speed of the wind is 50 mph and the total flight took 4 hours, find the speed of the
Plane in still air.

Accepted Answer

A) 435 mph 
B) 525 mph 
C) 550 mph 
D) 605 mph 
A) 435 mph 
B) 525 mph 
C) 550 mph 
D) 605 mph

Question 19

Solve. Give exact solutions.
-$( p - 9 ) ^ { 2 } = 17$

Accepted Answer

A)  $\sqrt { 17 } + 9$ 
B)  $\sqrt { 17 } - 9 , - \sqrt { 17 } - 9$ 
C)  $\sqrt { 17 } + 9 , - \sqrt { 17 } + 9$ 
D)  $\sqrt { 17 } - \sqrt { - 9 }$ 
A)  $\sqrt { 17 } + 9$ 
B)  $\sqrt { 17 } - 9 , - \sqrt { 17 } - 9$ 
C)  $\sqrt { 17 } + 9 , - \sqrt { 17 } + 9$ 
D)  $\sqrt { 17 } - \sqrt { - 9 }$

Question 20

Solve. Give exact solutions.
-$$3 z ^ { 2 } + 12 = 0$$

Accepted Answer

A)  $\pm 2 \mathrm { i }$ 
B)  $2 \mathrm { i }$ 
C)  2 
D)  $\pm 2$ 
A)  $\pm 2 \mathrm { i }$ 
B)  $2 \mathrm { i }$ 
C)  2 
D)  $\pm 2$

Solve. -Bill can row 3 mph in still water. It takes him 3 hours 36 minutes to go 3 miles upstream and return. Find the speed of the current.

Solve. Give exact solutions. - $x ^ { 2 } + 8 x + 16 = 17$

Find the x-intercepts. - $f ( x ) = 3 x ^ { 2 } - 5 x - 1$

Solve. Give exact solutions. - $( r + 4 ) ^ { 2 } = 17$

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

Solve. -Sue rowed her boat across Lake Bend and back in 3 hours. If her rate returning was 2 mph less than the rate going, and if the distance each way was 7 miles, find her rate going.

Find the x-intercepts. - $f ( x ) = 2 x ^ { 2 } - 3 x - 4$

Solve. - $38 m ^ { 2 } + 48 m + 11 = 0$

Solve. Give exact solutions. - $x ^ { 2 } = 100$

Solve by completing the square. - $x ^ { 2 } + 5 x - 5 = 0$

Solve. Give exact solutions. - $x ^ { 2 } + 8 x + 16 = 24$

Solve. - $3 = - \frac { 8 } { x } - \frac { 1 } { x ^ { 2 } }$

Solve. -A ladder is resting against a wall. The top of the ladder touches the wall at a height of 6 ft. Find the length of the ladder if the length is 2 ft more than its distance from the wall.

Solve. - $4 x ^ { 2 } - 3 x = - 4$

Solve the equation by completing the square. - $\mathrm { p } ^ { 2 } + 5 \mathrm { p } - 5 = 0$

Find the x-intercepts. - $f ( x ) = 2 x ^ { 2 } - 10 x + 12$

Solve. Give exact solutions. - $4 x ^ { 2 } = 44$

Solve. -A jet plane traveling at a constant speed goes 1200 miles with the wind, then turns around and travels for 1000 miles against the wind. If the speed of the wind is 50 mph and the total flight took 4 hours, find the speed of the Plane in still air.

Solve. Give exact solutions. - $( p - 9 ) ^ { 2 } = 17$

Solve. Give exact solutions. - $3 z ^ { 2 } + 12 = 0$

Introduction to Real Numbers and Algebraic Expressions

Solving Equations and Inequalities

Graphs of Linear Equations

Polynomials: Operations

Polynomials: Factoring

Rational Expressions and Equations

Graphs, Functions, and Applications

Systems of Equations

More on Inequalities

Radical Expressions, Equations, and Functions

Exponential Functions and Logarithmic Functions

Finding Measures of Central Tendency for Prices and Heights

Filters

Exam 11: Quadratic Equations and Functions

Solve. -Bill can row 3 mph in still water. It takes him 3 hours 36 minutes to go 3 miles upstream and return. Find the speed of the current.

Solve. Give exact solutions. - x2+8x+16=17x ^ { 2 } + 8 x + 16 = 17x2+8x+16=17

Find the x-intercepts. - f(x)=3x2−5x−1f ( x ) = 3 x ^ { 2 } - 5 x - 1f(x)=3x2−5x−1

Solve. Give exact solutions. - (r+4)2=17( r + 4 ) ^ { 2 } = 17(r+4)2=17

Solve. - x2+x+4=0x ^ { 2 } + x + 4 = 0x2+x+4=0