Question 1

Write the number in scientific notation.
-$0.000233$

Accepted Answer

A)  $2.33 \times 10 ^ { 4 }$ 
B)  $2.33 \times 10 ^ { - 5 }$ 
C)  $2.33 \times 10 ^ { - 3 }$ 
D)  $2.33 \times 10 ^ { - 4 }$ 
A)  $2.33 \times 10 ^ { 4 }$ 
B)  $2.33 \times 10 ^ { - 5 }$ 
C)  $2.33 \times 10 ^ { - 3 }$ 
D)  $2.33 \times 10 ^ { - 4 }$

Question 2

Show that the points P1(2,4), P2(5,2), and P3(7,5) are the vertices of a right triangle.

Accepted Answer

Answers will vary. One possibility: The

Question 3

Use an inequality to describe the interval of real numbers.
-$x$ is between $- 2$ and 4 .

Accepted Answer

A)  $- 4 < x < 2$ 
B)  $x \leq 4$ 
C)  $- 2 < x < 4$ 
D)  $- 2 \leq x \leq 4$ 
A)  $- 4 < x < 2$ 
B)  $x \leq 4$ 
C)  $- 2 < x < 4$ 
D)  $- 2 \leq x \leq 4$

Question 4

Solve the equation graphically by finding x-intercepts.
-$$x ^ { 2 } - x - 5 = 0$$

Accepted Answer

A)  $x = - 2.79$ or $x = 1.79$ 
B)  $x = 0$ or $x = 1$ 
C)  $x = - 1.79$ or $x = 2.79$ 
D)  $x = - 2.29$ or $x = 2.29$ 
A)  $x = - 2.79$ or $x = 1.79$ 
B)  $x = 0$ or $x = 1$ 
C)  $x = - 1.79$ or $x = 2.79$ 
D)  $x = - 2.29$ or $x = 2.29$

Question 5

Give the quadrant in which the point is located.
-$\left( - \frac { 6 } { 7 } , \frac { 5 } { 6 } \right)$

Accepted Answer

A)  Quadrant I 
B)  Quadrant IV 
C)  Quadrant II 
D)  Quadrant III 
A)  Quadrant I 
B)  Quadrant IV 
C)  Quadrant II 
D)  Quadrant III

Question 6

Find the slope of the line through the pair of points.
-$( 8,3 )$ and $( 9,1 )$

Accepted Answer

A)  $- \frac { 1 } { 2 }$ 
B)  $\frac { 4 } { 17 }$ 
C)  $- 2$ 
D)  2 
A)  $- \frac { 1 } { 2 }$ 
B)  $\frac { 4 } { 17 }$ 
C)  $- 2$ 
D)  2

Question 7

Write the expression in the form bi, where b is a real number.
-$$\sqrt { - 242 }$$

Accepted Answer

A)  $11 \mathrm { i } \sqrt { 2 }$ 
B)  $- 11 \mathrm { i } \sqrt { 2 }$ 
C)  $- 11 \sqrt { 2 }$ 
D)  $11 \sqrt { 2 }$ 
A)  $11 \mathrm { i } \sqrt { 2 }$ 
B)  $- 11 \mathrm { i } \sqrt { 2 }$ 
C)  $- 11 \sqrt { 2 }$ 
D)  $11 \sqrt { 2 }$

Question 8

Find the real numbers x and y that make the equation true.
-2 - 5i = x + yi

Accepted Answer

A)  x = 2, y = 5 
B)  x = -2, y = -5 
C)  x = 2, y = -5 
D)  x = -5, y = 2 
A)  x = 2, y = 5 
B)  x = -2, y = -5 
C)  x = 2, y = -5 
D)  x = -5, y = 2

Question 9

Write the number in scientific notation.
-757,601

Accepted Answer

A)  $7.57601 \times 10 ^ { 6 }$ 
B)  $7.57601 \times 10 ^ { - 5 }$ 
C)  $7.57601 \times 10 ^ { 1 }$ 
D)  $7.57601 \times 10 ^ { 5 }$ 
A)  $7.57601 \times 10 ^ { 6 }$ 
B)  $7.57601 \times 10 ^ { - 5 }$ 
C)  $7.57601 \times 10 ^ { 1 }$ 
D)  $7.57601 \times 10 ^ { 5 }$

Question 10

Write the number in decimal form.
-$$2.04 \times 10 ^ { 4 }$$

Accepted Answer

A)  20,400 
B)  204,000 
C)  $81.6$ 
D)  2040 
A)  20,400 
B)  204,000 
C)  $81.6$ 
D)  2040

Question 11

Give the coordinates of the points shown on the graph.
-

Accepted Answer

A)  $\mathrm { E } ( - 4,5 ) , \mathrm { G } ( - 2 , - 5 )$ 
B)  $\mathrm { E } ( - 4 , - 5 ) , \mathrm { G } ( 5 , - 5 )$ 
C)  $\mathrm { E } ( - 4,5 ) , \mathrm { G } ( - 5 , - 2 )$ 
D)  $\mathrm { E } ( 5,8 ) , \mathrm { G } ( - 5 , - 2 )$ 
A)  $\mathrm { E } ( - 4,5 ) , \mathrm { G } ( - 2 , - 5 )$ 
B)  $\mathrm { E } ( - 4 , - 5 ) , \mathrm { G } ( 5 , - 5 )$ 
C)  $\mathrm { E } ( - 4,5 ) , \mathrm { G } ( - 5 , - 2 )$ 
D)  $\mathrm { E } ( 5,8 ) , \mathrm { G } ( - 5 , - 2 )$

Question 12

Solve the equation graphically by finding x-intercepts.
-$$2 x ^ { 2 } + 11 x + 4 = 0$$

Accepted Answer

A)  $x = - 5.11$ or $x = - 0.39$ 
B)  $x = - 0.39$ or $x = 1.97$ 
C)  $x = 0$ or $x = 2.36$ 
D)  $x = - 2.36$ or $x = 2.36$ 
A)  $x = - 5.11$ or $x = - 0.39$ 
B)  $x = - 0.39$ or $x = 1.97$ 
C)  $x = 0$ or $x = 2.36$ 
D)  $x = - 2.36$ or $x = 2.36$

Question 13

Write the sum or difference in the standard form a + bi.
-$\left( \sqrt { 5 } + i ^ { 2 } \right) - ( 3 - \sqrt { - 49 } )$

Accepted Answer

A)  $( \sqrt { 5 } + 2 ) + 7 i$ 
B)  $( \sqrt { 5 } - 4 ) + 7 i$ 
C)  $( \sqrt { 5 } - 2 ) + 7 i$ 
D)  $( \sqrt { 5 } - 4 ) - 7 i$ 
A)  $( \sqrt { 5 } + 2 ) + 7 i$ 
B)  $( \sqrt { 5 } - 4 ) + 7 i$ 
C)  $( \sqrt { 5 } - 2 ) + 7 i$ 
D)  $( \sqrt { 5 } - 4 ) - 7 i$

Question 14

Solve by completing the square.
-$$x ^ { 2 } + 8 x = 7$$

Accepted Answer

A)  $4 + \sqrt { 23 }$ 
B)  $- 1 \pm \sqrt { 23 }$ 
C)  $- 4 \pm \sqrt { 23 }$ 
D)  $- 4 \pm 2 \sqrt { 23 }$ 
A)  $4 + \sqrt { 23 }$ 
B)  $- 1 \pm \sqrt { 23 }$ 
C)  $- 4 \pm \sqrt { 23 }$ 
D)  $- 4 \pm 2 \sqrt { 23 }$

Question 15

Use a method of your choice to solve the equation.
-$$x ^ { 3 } - 12 x ^ { 2 } + 48 x - 69 = 0$$

Accepted Answer

A)  $x = 5.71$ 
B)  $x = - 2.29$ 
C)  $x = 2.29$ 
D)  $x = 4$ 
A)  $x = 5.71$ 
B)  $x = - 2.29$ 
C)  $x = 2.29$ 
D)  $x = 4$

Question 16

Provide an appropriate response.
-In the linear function, $y = - 14 - 9 x , - 14$ is the ? of the function.

Accepted Answer

A)  first degree term 
B)  zero degree term 
C)  slope 
D)  second degree term 
A)  first degree term 
B)  zero degree term 
C)  slope 
D)  second degree term

Question 17

Find the center and radius of the circle.
-$$( x + 5 ) ^ { 2 } + ( y - 8 ) ^ { 2 } = 49$$

Accepted Answer

A)  $( 5 , - 8 ) , r = 49$ 
B)  $( 8 , - 5 ) , r = 7$ 
C)  $( - 5,8 ) , r = 7$ 
D)  $( - 8,5 ) , r = 49$ 
A)  $( 5 , - 8 ) , r = 49$ 
B)  $( 8 , - 5 ) , r = 7$ 
C)  $( - 5,8 ) , r = 7$ 
D)  $( - 8,5 ) , r = 49$

Question 18

Give the quadrant in which the point is located.
-$$\left( - \frac { 3 } { 4 } , - \frac { 5 } { 7 } \right)$$

Accepted Answer

A)  Quadrant IV 
B)  Quadrant I 
C)  Quadrant III 
D)  Quadrant II 
A)  Quadrant IV 
B)  Quadrant I 
C)  Quadrant III 
D)  Quadrant II

Question 19

Solve the equation by factoring.
-$$x ^ { 2 } - x - 72 = 0$$

Accepted Answer

A)  $x = - 9$ or $x = 8$ 
B)  $x = - 9$ 
C)  $x = 9$ 
D)  $x = - 8$ or $x = 9$ 
A)  $x = - 9$ or $x = 8$ 
B)  $x = - 9$ 
C)  $x = 9$ 
D)  $x = - 8$ or $x = 9$

Question 20

Find the decimal form for the rational number. If it repeats, then so indicate with a bar.
-$\frac { 9 } { 2 }$

Accepted Answer

A)  $4.5 \overline { 5 }$ 
B)  $4 . \overline { 5 }$ 
C)  $4.5$ 
D)  $4.6$ 
A)  $4.5 \overline { 5 }$ 
B)  $4 . \overline { 5 }$ 
C)  $4.5$ 
D)  $4.6$

Write the number in scientific notation. - $0.000233$

Show that the points P1(2,4), P2(5,2), and P3(7,5) are the vertices of a right triangle.

Use an inequality to describe the interval of real numbers. - $x$ is between $- 2$ and 4 .

Solve the equation graphically by finding x-intercepts. - $x ^ { 2 } - x - 5 = 0$

Give the quadrant in which the point is located. - $\left( - \frac { 6 } { 7 } , \frac { 5 } { 6 } \right)$

Find the slope of the line through the pair of points. - $( 8,3 )$ and $( 9,1 )$

Write the expression in the form bi, where b is a real number. - $\sqrt { - 242 }$

Find the real numbers x and y that make the equation true. -2 - 5i = x + yi

Write the number in scientific notation. -757,601

Write the number in decimal form. - $2.04 \times 10 ^ { 4 }$

Give the coordinates of the points shown on the graph. -

Solve the equation graphically by finding x-intercepts. - $2 x ^ { 2 } + 11 x + 4 = 0$

Write the sum or difference in the standard form a + bi. - $\left( \sqrt { 5 } + i ^ { 2 } \right) - ( 3 - \sqrt { - 49 } )$

Solve by completing the square. - $x ^ { 2 } + 8 x = 7$

Use a method of your choice to solve the equation. - $x ^ { 3 } - 12 x ^ { 2 } + 48 x - 69 = 0$

Provide an appropriate response. -In the linear function, $y = - 14 - 9 x , - 14$ is the ? of the function.

Find the center and radius of the circle. - $( x + 5 ) ^ { 2 } + ( y - 8 ) ^ { 2 } = 49$

Give the quadrant in which the point is located. - $\left( - \frac { 3 } { 4 } , - \frac { 5 } { 7 } \right)$

Solve the equation by factoring. - $x ^ { 2 } - x - 72 = 0$

Find the decimal form for the rational number. If it repeats, then so indicate with a bar. - $\frac { 9 } { 2 }$

Functions and Graphs

Polynomial, Power, and Rational Functions

Exponential, Logistic, and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Applications of Trigonometry

Systems and Matrices

Analytic Geometry in Two and Three Dimensions

Discrete Mathematics

Statistics and Probability

An Introduction to Calculus: Limits, Derivatives, and Integrals

Filters

Exam 12: Prerequisites

Write the number in scientific notation. - 0.0002330.0002330.000233

Show that the points P1(2,4), P2(5,2), and P3(7,5) are the vertices of a right triangle.

Use an inequality to describe the interval of real numbers. - xxx is between −2- 2−2 and 4 .

Solve the equation graphically by finding x-intercepts. - x2−x−5=0x ^ { 2 } - x - 5 = 0x2−x−5=0

Give the quadrant in which the point is located. - (−67,56)\left( - \frac { 6 } { 7 } , \frac { 5 } { 6 } \right)(−76​,65​)

Find the slope of the line through the pair of points. - (8,3)( 8,3 )(8,3) and (9,1)( 9,1 )(9,1)

Write the expression in the form bi, where b is a real number. - −242\sqrt { - 242 }−242​

Find the real numbers x and y that make the equation true. -2 - 5i = x + yi

Write the number in scientific notation. -757,601

Write the number in decimal form. - 2.04×1042.04 \times 10 ^ { 4 }2.04×104

Give the coordinates of the points shown on the graph. -

Solve the equation graphically by finding x-intercepts. - 2x2+11x+4=02 x ^ { 2 } + 11 x + 4 = 02x2+11x+4=0

Write the sum or difference in the standard form a + bi. - (5+i2)−(3−−49)\left( \sqrt { 5 } + i ^ { 2 } \right) - ( 3 - \sqrt { - 49 } )(5​+i2)−(3−−49​)

Solve by completing the square. - x2+8x=7x ^ { 2 } + 8 x = 7x2+8x=7

Use a method of your choice to solve the equation. - x3−12x2+48x−69=0x ^ { 3 } - 12 x ^ { 2 } + 48 x - 69 = 0x3−12x2+48x−69=0

Provide an appropriate response. -In the linear function, y=−14−9x,−14y = - 14 - 9 x , - 14y=−14−9x,−14 is the ? of the function.

Find the center and radius of the circle. - (x+5)2+(y−8)2=49( x + 5 ) ^ { 2 } + ( y - 8 ) ^ { 2 } = 49(x+5)2+(y−8)2=49

Give the quadrant in which the point is located. - (−34,−57)\left( - \frac { 3 } { 4 } , - \frac { 5 } { 7 } \right)(−43​,−75​)

Solve the equation by factoring. - x2−x−72=0x ^ { 2 } - x - 72 = 0x2−x−72=0

Find the decimal form for the rational number. If it repeats, then so indicate with a bar. - 92\frac { 9 } { 2 }29​

Functions and Graphs

Polynomial, Power, and Rational Functions

Exponential, Logistic, and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Applications of Trigonometry

Systems and Matrices

Analytic Geometry in Two and Three Dimensions

Discrete Mathematics

Statistics and Probability

An Introduction to Calculus: Limits, Derivatives, and Integrals

Filters

Write the number in scientific notation. - $0.000233$

Use an inequality to describe the interval of real numbers. - $x$ is between $- 2$ and 4 .

Solve the equation graphically by finding x-intercepts. - $x ^ { 2 } - x - 5 = 0$

Give the quadrant in which the point is located. - $\left( - \frac { 6 } { 7 } , \frac { 5 } { 6 } \right)$

Find the slope of the line through the pair of points. - $( 8,3 )$ and $( 9,1 )$

Write the expression in the form bi, where b is a real number. - $\sqrt { - 242 }$

Write the number in decimal form. - $2.04 \times 10 ^ { 4 }$

Solve the equation graphically by finding x-intercepts. - $2 x ^ { 2 } + 11 x + 4 = 0$

Write the sum or difference in the standard form a + bi. - $\left( \sqrt { 5 } + i ^ { 2 } \right) - ( 3 - \sqrt { - 49 } )$

Solve by completing the square. - $x ^ { 2 } + 8 x = 7$

Use a method of your choice to solve the equation. - $x ^ { 3 } - 12 x ^ { 2 } + 48 x - 69 = 0$

Provide an appropriate response. -In the linear function, $y = - 14 - 9 x , - 14$ is the ? of the function.

Find the center and radius of the circle. - $( x + 5 ) ^ { 2 } + ( y - 8 ) ^ { 2 } = 49$

Give the quadrant in which the point is located. - $\left( - \frac { 3 } { 4 } , - \frac { 5 } { 7 } \right)$

Solve the equation by factoring. - $x ^ { 2 } - x - 72 = 0$

Find the decimal form for the rational number. If it repeats, then so indicate with a bar. - $\frac { 9 } { 2 }$