Question 1

Describe and graph the interval of real numbers.
-$$( 7 , \infty )$$

Accepted Answer

The answer of Describe and graph the interval of real...

Question 2

Write the number in decimal form.
-$$5.0254 \times 10 ^ { 7 }$$

Accepted Answer

A)  $50,254,000$ 
B)  $5,025,400$ 
C)  $502,540,000$ 
D)  $351.778$ 
A)  $50,254,000$ 
B)  $5,025,400$ 
C)  $502,540,000$ 
D)  $351.778$

Question 3

Solve the problem.
-A coin is tossed upward from a balcony $240 \mathrm { ft }$ high with an initial velocity of $48 \mathrm { ft } / \mathrm { sec }$. During what interval of time will the coin be at a height of at least $80 \mathrm { ft }$ ?
$\left( h = - 16 t ^ { 2 } + v _ { 0 } t + h _ { 0 } \right)$

Accepted Answer

A)  $0 \leq t \leq 1$ 
B)  $0 \leq t \leq 5$ 
C)  $5 \leq t \leq 10$ 
D)  $4 \leq t \leq 5$ 
A)  $0 \leq t \leq 1$ 
B)  $0 \leq t \leq 5$ 
C)  $5 \leq t \leq 10$ 
D)  $4 \leq t \leq 5$

Question 4

Find the standard form equation for the circle.
-Center $( 10,0 )$, radius 8

Accepted Answer

A)  $x ^ { 2 } + ( y - 10 ) ^ { 2 } = 8$ 
B)  $( x + 10 ) ^ { 2 } + y ^ { 2 } = 64$ 
C)  $x ^ { 2 } + ( y + 10 ) ^ { 2 } = 8$ 
D)  $( x - 10 ) ^ { 2 } + y ^ { 2 } = 64$ 
A)  $x ^ { 2 } + ( y - 10 ) ^ { 2 } = 8$ 
B)  $( x + 10 ) ^ { 2 } + y ^ { 2 } = 64$ 
C)  $x ^ { 2 } + ( y + 10 ) ^ { 2 } = 8$ 
D)  $( x - 10 ) ^ { 2 } + y ^ { 2 } = 64$

Question 5

Solve the inequality and draw a number line graph of the solution.
-$$- 10 < - 2 a \leq - 2$$

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 6

Find which values of x are solutions.
-$\sqrt { 16 - x ^ { 2 } } + 2 = 6$
a. $x = 4$
b. $x = - 4$
c. $x = 0$

Accepted Answer

A)  (a) and (c) 
B)  (a) and (b) 
C)  (b) 
D)  (c) 
A)  (a) and (c) 
B)  (a) and (b) 
C)  (b) 
D)  (c)

Question 7

Solve by completing the square.
-$$2 x ^ { 2 } - 9 x + 22 = ( x - 2 ) ( x + 1 ) + 2 x$$

Accepted Answer

A)  $7 , - 6$ 
B)  7,6 
C)  $2 , - 1$ 
D)  6,4 
A)  $7 , - 6$ 
B)  7,6 
C)  $2 , - 1$ 
D)  6,4

Question 8

Describe and graph the interval of real numbers.
-$$( 3,7 ]$$

Accepted Answer

The answer of Describe and graph the interval of real...

Question 9

Solve the problem.
-Suppose the sales of a particular brand of appliance satisfy the relationship $S ( x ) = 210 x + 4100$, where $S ( x )$ represents the number of sales in year $x$, with $x = 0$ corresponding to 1982 . Find the number of sales in 1996 .

Accepted Answer

A)  6830 
B)  14,080 
C)  7040 
D)  13,870 
A)  6830 
B)  14,080 
C)  7040 
D)  13,870

Question 10

Use an inequality to describe the interval of real numbers.
-$[ - 5,5 )$

Accepted Answer

A)  $x < 5$ 
B)  $- 5 \leq x < 5$ 
C)  $- 5 < x \leq 5$ 
D)  $- 5 \leq x \leq 5$ 
A)  $x < 5$ 
B)  $- 5 \leq x < 5$ 
C)  $- 5 < x \leq 5$ 
D)  $- 5 \leq x \leq 5$

Question 11

Convert to inequality notation. Find the endpoints and state whether the interval is bounded or unbounded, and its type.
-$$( - 5,1 ]$$

Accepted Answer

The answer of Convert to inequality notation. Find the endpoints...

Question 12

Solve the equation using the quadratic formula.
-$$4 x ^ { 2 } = - 12 x - 6$$

Accepted Answer

A)  $x = \frac { - 3 + \sqrt { 3 } } { 2 }$ or $x = \frac { - 3 - \sqrt { 3 } } { 2 }$ 
B)  $x = \frac { - 12 + \sqrt { 3 } } { 2 }$ or $x = \frac { - 12 - \sqrt { 3 } } { 2 }$ 
C)  $x = \frac { - 3 + \sqrt { 15 } } { 2 }$ or $x = \frac { - 3 - \sqrt { 15 } } { 2 }$ 
D)  $x = \frac { - 3 + \sqrt { 3 } } { 8 }$ or $x = \frac { - 3 - \sqrt { 3 } } { 8 }$ 
A)  $x = \frac { - 3 + \sqrt { 3 } } { 2 }$ or $x = \frac { - 3 - \sqrt { 3 } } { 2 }$ 
B)  $x = \frac { - 12 + \sqrt { 3 } } { 2 }$ or $x = \frac { - 12 - \sqrt { 3 } } { 2 }$ 
C)  $x = \frac { - 3 + \sqrt { 15 } } { 2 }$ or $x = \frac { - 3 - \sqrt { 15 } } { 2 }$ 
D)  $x = \frac { - 3 + \sqrt { 3 } } { 8 }$ or $x = \frac { - 3 - \sqrt { 3 } } { 8 }$

Question 13

Write the number in scientific notation.
-$0.0000000358015$

Accepted Answer

A)  $3.58015 \times 10 ^ { - 9 }$ 
B)  $3.58015 \times 10 ^ { - 7 }$ 
C)  $3.58015 \times 10 ^ { - 8 }$ 
D)  $3.58015 \times 10 ^ { 8 }$ 
A)  $3.58015 \times 10 ^ { - 9 }$ 
B)  $3.58015 \times 10 ^ { - 7 }$ 
C)  $3.58015 \times 10 ^ { - 8 }$ 
D)  $3.58015 \times 10 ^ { 8 }$

Question 14

Write the product in standard form.
-$$1 \mathrm { i } ( - 4 - 3 \mathrm { i } ) ^ { 2 }$$

Accepted Answer

A)  $- 24 + 7 \mathrm { i }$ 
B)  $7 + 24 i$ 
C)  $- 24 i + 24 i ^ { 2 } + 9 i ^ { 3 }$ 
D)  $7 \mathrm { i }$ 
A)  $- 24 + 7 \mathrm { i }$ 
B)  $7 + 24 i$ 
C)  $- 24 i + 24 i ^ { 2 } + 9 i ^ { 3 }$ 
D)  $7 \mathrm { i }$

Question 15

Find the decimal form for the rational number. If it repeats, then so indicate with a bar.
-$\frac { 10 } { 6 }$

Accepted Answer

A)  $2.6 \overline{7}$ 
B)  $1.67$ 
C)  $1.6 \overline { 6 }$ 
D)  $1.667$ 
A)  $2.6 \overline{7}$ 
B)  $1.67$ 
C)  $1.6 \overline { 6 }$ 
D)  $1.667$

Question 16

Write the product in standard form.
-$$\mathrm { i } ( 6 - 6 i ) ( 3 - 2 i )$$

Accepted Answer

A)  $12 \mathrm { i } ^ { 3 } + 30 \mathrm { i } ^ { 2 } + 18 \mathrm { i }$ 
B)  $30 - 6 i$ 
C)  $- 30 - 6 i$ 
D)  $30 + 6 \mathrm { i }$ 
A)  $12 \mathrm { i } ^ { 3 } + 30 \mathrm { i } ^ { 2 } + 18 \mathrm { i }$ 
B)  $30 - 6 i$ 
C)  $- 30 - 6 i$ 
D)  $30 + 6 \mathrm { i }$

Question 17

Use words to describe the interval of real numbers.
-$( - 1,2 )$

Accepted Answer

A)  The real numbers greater than $- 1$. 
B)  The real numbers greater than $- 1$ and less than 2 . 
C)  The real numbers greater than or equal to $- 1$ and less than 2 . 
D)  The real numbers less than 2 . 
A)  The real numbers greater than $- 1$. 
B)  The real numbers greater than $- 1$ and less than 2 . 
C)  The real numbers greater than or equal to $- 1$ and less than 2 . 
D)  The real numbers less than 2 .

Question 18

Solve the equation graphically by finding x-intercepts.
-$$x ^ { 3 } + 3 x ^ { 2 } + 3 x + - 3 = 0$$

Accepted Answer

A)  $x = - 1$ 
B)  $x = 0.59$ 
C)  $x = 1.59$ 
D)  $x = 2.59$ 
A)  $x = - 1$ 
B)  $x = 0.59$ 
C)  $x = 1.59$ 
D)  $x = 2.59$

Question 19

Solve the problem.
-The area of a square is numerically 96 more than the perimeter. Find the length of the side.

Accepted Answer

A)  12 units 
B)  288 units 
C)  72 units 
D)  48 units 
A)  12 units 
B)  288 units 
C)  72 units 
D)  48 units

Question 20

Write the sum or difference in the standard form a + bi.
-(4 - 7i) + (5 + 4i)

Accepted Answer

A)  -9 + 3i 
B)  9 - 3i 
C)  -1 + 11i 
D)  9 + 3i 
A)  -9 + 3i 
B)  9 - 3i 
C)  -1 + 11i 
D)  9 + 3i

Describe and graph the interval of real numbers. - $( 7 , \infty )$ $Describe and graph the interval of real numbers. - ( 7 , \infty )$

Write the number in decimal form. - $5.0254 \times 10 ^ { 7 }$

Find the standard form equation for the circle. -Center $( 10,0 )$ , radius 8

Solve the inequality and draw a number line graph of the solution. - $- 10 < - 2 a \leq - 2$ $Solve the inequality and draw a number line graph of the solution. - - 10 < - 2 a \leq - 2$

Find which values of x are solutions. - $\sqrt { 16 - x ^ { 2 } } + 2 = 6$ a. $x = 4$ b. $x = - 4$ c. $x = 0$

Solve by completing the square. - $2 x ^ { 2 } - 9 x + 22 = ( x - 2 ) ( x + 1 ) + 2 x$

Describe and graph the interval of real numbers. - $( 3,7 ]$

Solve the problem. -Suppose the sales of a particular brand of appliance satisfy the relationship $S ( x ) = 210 x + 4100$ , where $S ( x )$ represents the number of sales in year $x$ , with $x = 0$ corresponding to 1982 . Find the number of sales in 1996 .

Use an inequality to describe the interval of real numbers. - $[ - 5,5 )$

Convert to inequality notation. Find the endpoints and state whether the interval is bounded or unbounded, and its type. - $( - 5,1 ]$

Solve the equation using the quadratic formula. - $4 x ^ { 2 } = - 12 x - 6$

Write the number in scientific notation. - $0.0000000358015$

Write the product in standard form. - $1 \mathrm { i } ( - 4 - 3 \mathrm { i } ) ^ { 2 }$

Find the decimal form for the rational number. If it repeats, then so indicate with a bar. - $\frac { 10 } { 6 }$

Write the product in standard form. - $\mathrm { i } ( 6 - 6 i ) ( 3 - 2 i )$

Use words to describe the interval of real numbers. - $( - 1,2 )$

Solve the equation graphically by finding x-intercepts. - $x ^ { 3 } + 3 x ^ { 2 } + 3 x + - 3 = 0$

Solve the problem. -The area of a square is numerically 96 more than the perimeter. Find the length of the side.

Write the sum or difference in the standard form a + bi. -(4 - 7i) + (5 + 4i)

Functions and Graphs

Polynomial, Power, and Rational Functions

Exponential, Logistic, and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Applications of Trigonometry

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Analytic Geometry in Two and Three Dimensions

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An Introduction to Calculus: Limits, Derivatives, and Integrals

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Exam 12: Prerequisites

Describe and graph the interval of real numbers. - (7,∞)( 7 , \infty )(7,∞)

Write the number in decimal form. - 5.0254×1075.0254 \times 10 ^ { 7 }5.0254×107

Find the standard form equation for the circle. -Center (10,0)( 10,0 )(10,0) , radius 8

Solve the inequality and draw a number line graph of the solution. - −10<−2a≤−2- 10 < - 2 a \leq - 2−10<−2a≤−2

Find which values of x are solutions. - 16−x2+2=6\sqrt { 16 - x ^ { 2 } } + 2 = 616−x2​+2=6 a. x=4x = 4x=4 b. x=−4x = - 4x=−4 c. x=0x = 0x=0

Solve by completing the square. - 2x2−9x+22=(x−2)(x+1)+2x2 x ^ { 2 } - 9 x + 22 = ( x - 2 ) ( x + 1 ) + 2 x2x2−9x+22=(x−2)(x+1)+2x

Describe and graph the interval of real numbers. - (3,7]( 3,7 ](3,7]

Solve the problem. -Suppose the sales of a particular brand of appliance satisfy the relationship S(x)=210x+4100S ( x ) = 210 x + 4100S(x)=210x+4100 , where S(x)S ( x )S(x) represents the number of sales in year xxx , with x=0x = 0x=0 corresponding to 1982 . Find the number of sales in 1996 .

Use an inequality to describe the interval of real numbers. - [−5,5)[ - 5,5 )[−5,5)

Convert to inequality notation. Find the endpoints and state whether the interval is bounded or unbounded, and its type. - (−5,1]( - 5,1 ](−5,1]

Solve the equation using the quadratic formula. - 4x2=−12x−64 x ^ { 2 } = - 12 x - 64x2=−12x−6

Write the number in scientific notation. - 0.00000003580150.00000003580150.0000000358015

Write the product in standard form. - 1i(−4−3i)21 \mathrm { i } ( - 4 - 3 \mathrm { i } ) ^ { 2 }1i(−4−3i)2

Find the decimal form for the rational number. If it repeats, then so indicate with a bar. - 106\frac { 10 } { 6 }610​

Write the product in standard form. - i(6−6i)(3−2i)\mathrm { i } ( 6 - 6 i ) ( 3 - 2 i )i(6−6i)(3−2i)

Use words to describe the interval of real numbers. - (−1,2)( - 1,2 )(−1,2)

Solve the equation graphically by finding x-intercepts. - x3+3x2+3x+−3=0x ^ { 3 } + 3 x ^ { 2 } + 3 x + - 3 = 0x3+3x2+3x+−3=0