Question 1

Use a method of your choice to solve the equation.
-$| 3 x - 7 | = 4$

Accepted Answer

A)  $x = - \frac { 7 } { 3 }$ or $x = \frac { 7 } { 3 }$ 
B)  $x = 1$ or $x = \frac { 11 } { 3 }$ 
C)  $x = 3$ or $x = 11$ 
D)  $x = - \frac { 11 } { 3 }$ or $x = \frac { 11 } { 3 }$ 
A)  $x = - \frac { 7 } { 3 }$ or $x = \frac { 7 } { 3 }$ 
B)  $x = 1$ or $x = \frac { 11 } { 3 }$ 
C)  $x = 3$ or $x = 11$ 
D)  $x = - \frac { 11 } { 3 }$ or $x = \frac { 11 } { 3 }$

Question 2

Simplify the expression. Assume that the variables in the denominator are nonzero.
-$$\frac { \left( 4 x ^ { 3 } \right) ^ { 3 } z ^ { 2 } } { 4 z ^ { 5 } }$$

Accepted Answer

A)  $\frac { x ^ { 9 } } { 16 z ^ { 3 } }$ 
B)  $\frac { 16 x ^ { 9 } } { z ^ { 3 } }$ 
C)  $16 x ^ { 9 } z ^ { 3 }$ 
D)  $\frac { x ^ { 9 } } { z ^ { 3 } }$ 
A)  $\frac { x ^ { 9 } } { 16 z ^ { 3 } }$ 
B)  $\frac { 16 x ^ { 9 } } { z ^ { 3 } }$ 
C)  $16 x ^ { 9 } z ^ { 3 }$ 
D)  $\frac { x ^ { 9 } } { z ^ { 3 } }$

Question 3

Solve the inequality graphically.
-$x^{2}+10 \geq 0$

Accepted Answer

A)  No solution 
B)  $( - \infty , \infty )$ 
C)  $( 10 , \infty )$ 
D)  $( - \infty , 10 )$ 
A)  No solution 
B)  $( - \infty , \infty )$ 
C)  $( 10 , \infty )$ 
D)  $( - \infty , 10 )$

Question 4

Write the expression in standard form.
-$\frac { 5 + i } { - 4 - 8 i }$

Accepted Answer

A)  $- \frac { 7 } { 20 } - \frac { 9 } { 20 } \mathrm { i }$ 
B)  $- \frac { 7 } { 20 }$ 
C)  $\frac { 9 } { 20 } \mathrm { i }$ 
D)  $- \frac { 7 } { 20 } + \frac { 9 } { 20 } i$ 
A)  $- \frac { 7 } { 20 } - \frac { 9 } { 20 } \mathrm { i }$ 
B)  $- \frac { 7 } { 20 }$ 
C)  $\frac { 9 } { 20 } \mathrm { i }$ 
D)  $- \frac { 7 } { 20 } + \frac { 9 } { 20 } i$

Question 5

Describe and graph the interval of real numbers.
-$$x \text { is greater than } - 4 \text { and less than or equal to } 2 \text {. }$$

Accepted Answer

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

Question 6

-What were the total sales for 1989?

Accepted Answer

A)  $764,000 
B)  $582,000 
C)  $48,000 
D)  $50,000 
A)  $764,000 
B)  $582,000 
C)  $48,000 
D)  $50,000

Question 7

Solve the equation by extracting the square roots.
-$$3 ( v + 1 ) ^ { 2 } = 80$$

Accepted Answer

A)  $v = 1 - 4 \sqrt { \frac { 5 } { 2 } }$ or $v = 1 + 4 \sqrt { \frac { 5 } { 2 } }$ 
B)  $v = - 1 - 4 \sqrt { \frac { 5 } { 2 } }$ or $v = - 1 + 4 \sqrt { \frac { 5 } { 2 } }$ 
C)  $v = 1 - 4 \sqrt { 5 }$ or $v = 1 + 4 \sqrt { 5 }$ 
D)  $v = - 1 - 4 \sqrt { \frac { 5 } { 3 } }$ or $v = - 1 + 4 \sqrt { \frac { 5 } { 3 } }$ 
A)  $v = 1 - 4 \sqrt { \frac { 5 } { 2 } }$ or $v = 1 + 4 \sqrt { \frac { 5 } { 2 } }$ 
B)  $v = - 1 - 4 \sqrt { \frac { 5 } { 2 } }$ or $v = - 1 + 4 \sqrt { \frac { 5 } { 2 } }$ 
C)  $v = 1 - 4 \sqrt { 5 }$ or $v = 1 + 4 \sqrt { 5 }$ 
D)  $v = - 1 - 4 \sqrt { \frac { 5 } { 3 } }$ or $v = - 1 + 4 \sqrt { \frac { 5 } { 3 } }$

Question 8

Find the midpoint of the line segment with the given endpoints.
-$( 6 , - 9 )$ and $( - 4,0 )$

Accepted Answer

A)  $\left( 1 , - \frac { 9 } { 2 } \right)$ 
B)  $\left( 5 , - \frac { 9 } { 2 } \right)$ 
C)  $( 2 , - 9 )$ 
D)  $( 10 , - 9 )$ 
A)  $\left( 1 , - \frac { 9 } { 2 } \right)$ 
B)  $\left( 5 , - \frac { 9 } { 2 } \right)$ 
C)  $( 2 , - 9 )$ 
D)  $( 10 , - 9 )$

Question 9

Write the product in standard form.
-$9 i ( 4 - 6 i )$

Accepted Answer

A)  $54 + 36 i$ 
B)  $36 \mathrm { i } - 54 \mathrm { i } ^ { 2 }$ 
C)  $36 \mathrm { i } - 54$ 
D)  $36 i + 54 i ^ { 2 }$ 
A)  $54 + 36 i$ 
B)  $36 \mathrm { i } - 54 \mathrm { i } ^ { 2 }$ 
C)  $36 \mathrm { i } - 54$ 
D)  $36 i + 54 i ^ { 2 }$

Question 10

Identify the base. Do not evaluate.
-$( - 14 ) ^ { 15 }$

Accepted Answer

A)  $- 15$ 
B)  14 
C)  $- 14$ 
D)  15 
A)  $- 15$ 
B)  14 
C)  $- 14$ 
D)  15

Question 11

Write the number in scientific notation.
-$678.704$

Accepted Answer

A)  $6.78704 \times 10 ^ { - 2 }$ 
B)  $6.78704 \times 10 ^ { 1 }$ 
C)  $6.78704 \times 10 ^ { - 1 }$ 
D)  $6.78704 \times 10 ^ { 2 }$ 
A)  $6.78704 \times 10 ^ { - 2 }$ 
B)  $6.78704 \times 10 ^ { 1 }$ 
C)  $6.78704 \times 10 ^ { - 1 }$ 
D)  $6.78704 \times 10 ^ { 2 }$

Question 12

Find a point-slope form equation for the line through the point with the given slope.
-$$( - 5,9 ) , \mathrm { m } = - 4$$

Accepted Answer

A)  $y - 9 = 4 ( x + 5 )$ 
B)  $y - 9 = - 4 ( x - 5 )$ 
C)  $y - 9 = - 4 ( x + 5 )$ 
D)  $y + 9 = - 4 ( x + 5 )$ 
A)  $y - 9 = 4 ( x + 5 )$ 
B)  $y - 9 = - 4 ( x - 5 )$ 
C)  $y - 9 = - 4 ( x + 5 )$ 
D)  $y + 9 = - 4 ( x + 5 )$

Question 13

Solve the inequality and draw a number line graph of the solution.
-$$2 < 4 x - 3 < 13$$

Accepted Answer

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

Question 14

Convert to inequality notation. Find the endpoints and state whether the interval is bounded or unbounded, and its type.
-$$( - 6 , - 3 )$$

Accepted Answer

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

Question 15

Evaluate the expression.
-$\frac { - 4 } { | - 4 | }$

Accepted Answer

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

Question 16

Determine whether the equation is linear in x.
-$$5 \sqrt { x } - 4 = 13$$

Accepted Answer

A) True 
 B)False

Question 17

Solve the problem.
-A coin is tossed upward from a balcony $230 \mathrm { ft }$ 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 $70 \mathrm { ft }$ ? $\left( h = - 16 t ^ { 2 } + v _ { 0 } t + h _ { 0 } \right)$

Accepted Answer

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

Question 18

Identify the base. Do not evaluate. -6¹⁰ A) 10 B) $- 6$ C) 6 D) 16

Accepted Answer

The base in the expression 6^{

Question 19

Write the expression in standard form.
-$$\frac { 9 - 3 i } { 5 + 3 i }$$

Accepted Answer

A)  $\frac { 9 } { 8 } + \frac { 21 } { 16 } i$ 
B)  $\frac { 54 } { 17 } - \frac { 12 } { 17 } \mathrm { i }$ 
C)  $\frac { 27 } { 8 } + \frac { 21 } { 16 } i$ 
D)  $\frac { 18 } { 17 } - \frac { 21 } { 17 } \mathrm { i }$ 
A)  $\frac { 9 } { 8 } + \frac { 21 } { 16 } i$ 
B)  $\frac { 54 } { 17 } - \frac { 12 } { 17 } \mathrm { i }$ 
C)  $\frac { 27 } { 8 } + \frac { 21 } { 16 } i$ 
D)  $\frac { 18 } { 17 } - \frac { 21 } { 17 } \mathrm { i }$

Question 20

Solve the inequality graphically.
-$$x ^ { 2 } + 5 x \leq - 4$$

Accepted Answer

A)  $( 1,4 )$ 
B)  $( - \infty , 1 ] \cup [ 4 , \infty )$ 
C)  $[ - 4 , - 1 ]$ 
D)  $[ 1,4 ]$ 
A)  $( 1,4 )$ 
B)  $( - \infty , 1 ] \cup [ 4 , \infty )$ 
C)  $[ - 4 , - 1 ]$ 
D)  $[ 1,4 ]$

Use a method of your choice to solve the equation. - $| 3 x - 7 | = 4$

Simplify the expression. Assume that the variables in the denominator are nonzero. - $\frac { \left( 4 x ^ { 3 } \right) ^ { 3 } z ^ { 2 } } { 4 z ^ { 5 } }$

Solve the inequality graphically. - $x^{2}+10 \geq 0$ $Solve the inequality graphically. - x^{2}+10 \geq 0$

Write the expression in standard form. - $\frac { 5 + i } { - 4 - 8 i }$

Describe and graph the interval of real numbers. - $x \text { is greater than } - 4 \text { and less than or equal to } 2 \text {. }$ $Describe and graph the interval of real numbers. - x \text { is greater than } - 4 \text { and less than or equal to } 2 \text {. }$

-What were the total sales for 1989?

Solve the equation by extracting the square roots. - $3 ( v + 1 ) ^ { 2 } = 80$

Find the midpoint of the line segment with the given endpoints. - $( 6 , - 9 )$ and $( - 4,0 )$

Write the product in standard form. - $9 i ( 4 - 6 i )$

Identify the base. Do not evaluate. - $( - 14 ) ^ { 15 }$

Write the number in scientific notation. - $678.704$

Find a point-slope form equation for the line through the point with the given slope. - $( - 5,9 ) , \mathrm { m } = - 4$

Solve the inequality and draw a number line graph of the solution. - $2 < 4 x - 3 < 13$

Convert to inequality notation. Find the endpoints and state whether the interval is bounded or unbounded, and its type. - $( - 6 , - 3 )$

Evaluate the expression. - $\frac { - 4 } { | - 4 | }$

Determine whether the equation is linear in x. - $5 \sqrt { x } - 4 = 13$

Identify the base. Do not evaluate. -6<sup>10</sup> A) 10 B) $- 6$ C) 6 D) 16

Write the expression in standard form. - $\frac { 9 - 3 i } { 5 + 3 i }$

Solve the inequality graphically. - $x ^ { 2 } + 5 x \leq - 4$ $Solve the inequality graphically. - x ^ { 2 } + 5 x \leq - 4$

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

Use a method of your choice to solve the equation. - ∣3x−7∣=4| 3 x - 7 | = 4∣3x−7∣=4

Simplify the expression. Assume that the variables in the denominator are nonzero. - (4x3)3z24z5\frac { \left( 4 x ^ { 3 } \right) ^ { 3 } z ^ { 2 } } { 4 z ^ { 5 } }4z5(4x3)3z2​

Solve the inequality graphically. - x2+10≥0x^{2}+10 \geq 0x2+10≥0

Write the expression in standard form. - 5+i−4−8i\frac { 5 + i } { - 4 - 8 i }−4−8i5+i​

Describe and graph the interval of real numbers. - x is greater than −4 and less than or equal to 2. x \text { is greater than } - 4 \text { and less than or equal to } 2 \text {. }x is greater than −4 and less than or equal to 2.

-What were the total sales for 1989?

Solve the equation by extracting the square roots. - 3(v+1)2=803 ( v + 1 ) ^ { 2 } = 803(v+1)2=80

Find the midpoint of the line segment with the given endpoints. - (6,−9)( 6 , - 9 )(6,−9) and (−4,0)( - 4,0 )(−4,0)

Write the product in standard form. - 9i(4−6i)9 i ( 4 - 6 i )9i(4−6i)

Identify the base. Do not evaluate. - (−14)15( - 14 ) ^ { 15 }(−14)15

Write the number in scientific notation. - 678.704678.704678.704

Find a point-slope form equation for the line through the point with the given slope. - (−5,9),m=−4( - 5,9 ) , \mathrm { m } = - 4(−5,9),m=−4

Solve the inequality and draw a number line graph of the solution. - 2<4x−3<132 < 4 x - 3 < 132<4x−3<13

Convert to inequality notation. Find the endpoints and state whether the interval is bounded or unbounded, and its type. - (−6,−3)( - 6 , - 3 )(−6,−3)

Evaluate the expression. - −4∣−4∣\frac { - 4 } { | - 4 | }∣−4∣−4​

Determine whether the equation is linear in x. - 5x−4=135 \sqrt { x } - 4 = 135x​−4=13

Identify the base. Do not evaluate. -6<sup>10</sup> A) 10 B) −6- 6−6 C) 6 D) 16

Write the expression in standard form. - 9−3i5+3i\frac { 9 - 3 i } { 5 + 3 i }5+3i9−3i​

Solve the inequality graphically. - x2+5x≤−4x ^ { 2 } + 5 x \leq - 4x2+5x≤−4

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

Use a method of your choice to solve the equation. - $| 3 x - 7 | = 4$

Simplify the expression. Assume that the variables in the denominator are nonzero. - $\frac { \left( 4 x ^ { 3 } \right) ^ { 3 } z ^ { 2 } } { 4 z ^ { 5 } }$

Solve the inequality graphically. - $x^{2}+10 \geq 0$ $Solve the inequality graphically. - x^{2}+10 \geq 0$

Write the expression in standard form. - $\frac { 5 + i } { - 4 - 8 i }$

Describe and graph the interval of real numbers. - $x \text { is greater than } - 4 \text { and less than or equal to } 2 \text {. }$ $Describe and graph the interval of real numbers. - x \text { is greater than } - 4 \text { and less than or equal to } 2 \text {. }$

Solve the equation by extracting the square roots. - $3 ( v + 1 ) ^ { 2 } = 80$

Find the midpoint of the line segment with the given endpoints. - $( 6 , - 9 )$ and $( - 4,0 )$

Write the product in standard form. - $9 i ( 4 - 6 i )$

Identify the base. Do not evaluate. - $( - 14 ) ^ { 15 }$

Write the number in scientific notation. - $678.704$

Find a point-slope form equation for the line through the point with the given slope. - $( - 5,9 ) , \mathrm { m } = - 4$

Solve the inequality and draw a number line graph of the solution. - $2 < 4 x - 3 < 13$

Convert to inequality notation. Find the endpoints and state whether the interval is bounded or unbounded, and its type. - $( - 6 , - 3 )$

Evaluate the expression. - $\frac { - 4 } { | - 4 | }$

Determine whether the equation is linear in x. - $5 \sqrt { x } - 4 = 13$

Identify the base. Do not evaluate. -6<sup>10</sup> A) 10 B) $- 6$ C) 6 D) 16

Write the expression in standard form. - $\frac { 9 - 3 i } { 5 + 3 i }$

Solve the inequality graphically. - $x ^ { 2 } + 5 x \leq - 4$ $Solve the inequality graphically. - x ^ { 2 } + 5 x \leq - 4$