Question 1

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

Accepted Answer

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

Question 2

Use interval notation to describe the interval of real numbers.
-

Accepted Answer

A)  $( - \infty , 5 ]$ 
B)  $( 5 , - \infty )$ 
C)  $( - \infty , 5 )$ 
D)  $[ 5 , \infty$ ) 
A)  $( - \infty , 5 ]$ 
B)  $( 5 , - \infty )$ 
C)  $( - \infty , 5 )$ 
D)  $[ 5 , \infty$ )

Question 3

Solve the equation using the quadratic formula.
-$$x ^ { 2 } - 3 = \sqrt { 7 } x$$

Accepted Answer

A)  $x = \frac { \sqrt { 7 } - \sqrt { 19 } } { 2 }$ or $x = \frac { \sqrt { 7 } + \sqrt { 19 } } { 2 }$ 
B)  $x = - \frac { 1 } { \sqrt { 7 } }$ or $x = \frac { 1 } { \sqrt { 7 } }$ 
C)  $x = - \sqrt { 7 }$ or $x = \sqrt { 7 }$ 
D)  $x = 1$ or $x = - 1$ 
A)  $x = \frac { \sqrt { 7 } - \sqrt { 19 } } { 2 }$ or $x = \frac { \sqrt { 7 } + \sqrt { 19 } } { 2 }$ 
B)  $x = - \frac { 1 } { \sqrt { 7 } }$ or $x = \frac { 1 } { \sqrt { 7 } }$ 
C)  $x = - \sqrt { 7 }$ or $x = \sqrt { 7 }$ 
D)  $x = 1$ or $x = - 1$

Question 4

Use interval notation to describe the interval of real numbers.
-

Accepted Answer

A)  $[ - 3,1 )$ 
B)  $( - 1,3 ]$ 
C)  $[ - 1,3 )$ 
D)  $( - 3,1 ]$ 
A)  $[ - 3,1 )$ 
B)  $( - 1,3 ]$ 
C)  $[ - 1,3 )$ 
D)  $( - 3,1 ]$

Question 5

Find the standard form equation for the circle.
-Center $( - 1,2 )$, radius $\sqrt { 2 }$

Accepted Answer

A)  $( x - 1 ) ^ { 2 } + ( y + 2 ) ^ { 2 } = 2$ 
B)  $( x + 1 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = 2$ 
C)  $( x + 2 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 4$ 
D)  $( x - 2 ) ^ { 2 } + ( y + 1 ) ^ { 2 } = 4$ 
A)  $( x - 1 ) ^ { 2 } + ( y + 2 ) ^ { 2 } = 2$ 
B)  $( x + 1 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = 2$ 
C)  $( x + 2 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 4$ 
D)  $( x - 2 ) ^ { 2 } + ( y + 1 ) ^ { 2 } = 4$

Question 6

Use interval notation to describe the set of numbers.
-Salary raises at Clemson University will average between 2.5% and 5.5%.

Accepted Answer

A)  [5.5, 2.5] 
B)  (2.5, 5.5) 
C)  [2.5, 5.5] 
D)  [2.5, 5.5) 
A)  [5.5, 2.5] 
B)  (2.5, 5.5) 
C)  [2.5, 5.5] 
D)  [2.5, 5.5)

Question 7

Describe and graph the interval of real numbers.
-$$[ - 4,1 ]$$

Accepted Answer

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

Question 8

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

Accepted Answer

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

Question 9

Solve the equation.
-$- 6 x ^ { 2 } - 4 x - 17 = x - 9$

Accepted Answer

A)  $- \frac { 5 } { 12 } \pm \frac { \sqrt { 167 } } { - 12 }$ 
B)  $- \frac { 5 } { 12 } \pm \frac { \sqrt { 167 } } { - 24 } \mathrm { i }$ 
C)  $\frac { 5 } { 12 } \pm \frac { \sqrt { 167 } } { - 12 } \mathrm { i }$ 
D)  $- \frac { 5 } { 12 } \pm \frac { \sqrt { 167 } } { - 12 } \mathrm { i }$ 
A)  $- \frac { 5 } { 12 } \pm \frac { \sqrt { 167 } } { - 12 }$ 
B)  $- \frac { 5 } { 12 } \pm \frac { \sqrt { 167 } } { - 24 } \mathrm { i }$ 
C)  $\frac { 5 } { 12 } \pm \frac { \sqrt { 167 } } { - 12 } \mathrm { i }$ 
D)  $- \frac { 5 } { 12 } \pm \frac { \sqrt { 167 } } { - 12 } \mathrm { i }$

Question 10

Use an inequality to describe the interval of real numbers.
-$( - 9,1 ]$

Accepted Answer

A)  $x \leq 1$ 
B)  $- 9 < x < 1$ 
C)  $- 9 < x \leq 1$ 
D)  $- 9 \leq x \leq 1$ 
A)  $x \leq 1$ 
B)  $- 9 < x < 1$ 
C)  $- 9 < x \leq 1$ 
D)  $- 9 \leq x \leq 1$

Question 11

Find the value of x and the value of y for which (x, 2) and (8, y) are points on the graph.
-$$y = 3 x + 7$$

Accepted Answer

A)  $x = - 17 , y = - \frac { 5 } { 3 }$ 
B)  $x = - 5 , y = 31$ 
C)  $x = 3 , y = 27$ 
D)  $x = - \frac { 5 } { 3 } , y = 31$ 
A)  $x = - 17 , y = - \frac { 5 } { 3 }$ 
B)  $x = - 5 , y = 31$ 
C)  $x = 3 , y = 27$ 
D)  $x = - \frac { 5 } { 3 } , y = 31$

Question 12

Find the product of the complex number and its conjugate.
-1 - 3i

Accepted Answer

A)  1 - 9i 
B)  1 + 9i 
C)  -8 
D)  10 
A)  1 - 9i 
B)  1 + 9i 
C)  -8 
D)  10

Question 13

Use a method of your choice to solve the equation.
-$$x ^ { 2 } - 1 = | x + 8 |$$

Accepted Answer

A)  $x = 0$ 
B)  $x = - 3.04$ or $x = 3.04$ 
C)  $x = - 2.54$ or $x = 3.54$ 
D)  $x = - 3.54$ or $x = 2.54$ 
A)  $x = 0$ 
B)  $x = - 3.04$ or $x = 3.04$ 
C)  $x = - 2.54$ or $x = 3.54$ 
D)  $x = - 3.54$ or $x = 2.54$

Question 14

Solve the inequality algebraically. Write the solution in interval notation.
-$| 3 \mathrm { x } - 1 | < 3.1$

Accepted Answer

A)  $( - 0.70 , \infty )$ 
B)  $( - 0.70,1.37 )$ 
C)  $[ - 0.70,1.37 ]$ 
D)  $( - \infty , 1.37 )$ 
A)  $( - 0.70 , \infty )$ 
B)  $( - 0.70,1.37 )$ 
C)  $[ - 0.70,1.37 ]$ 
D)  $( - \infty , 1.37 )$

Question 15

Determine whether the equation is linear in x.
-$$x - \frac { 1 } { x } = - 1$$

Accepted Answer

A) True 
 B)False

Question 16

Determine the equation of the line described. Put answer in the slope-intercept form, if possible.
-Through $( 9,4 )$, perpendicular to $6 x + 5 y = 34$

Accepted Answer

A)  $y = - \frac { 5 } { 6 } x - \frac { 7 } { 2 }$ 
B)  $y = \frac { 6 } { 5 } x + \frac { 6 } { 5 }$ 
C)  $y = \frac { 9 } { 5 } x - \frac { 34 } { 5 }$ 
D)  $y = \frac { 5 } { 6 } x - \frac { 7 } { 2 }$ 
A)  $y = - \frac { 5 } { 6 } x - \frac { 7 } { 2 }$ 
B)  $y = \frac { 6 } { 5 } x + \frac { 6 } { 5 }$ 
C)  $y = \frac { 9 } { 5 } x - \frac { 34 } { 5 }$ 
D)  $y = \frac { 5 } { 6 } x - \frac { 7 } { 2 }$

Question 17

Determine whether the equation is linear in x.
-$$8 x ^ { 3 } - 5 x ^ { 2 } = 3 \left( x ^ { 3 } - 6 \right) - x ^ { 2 } + 2 x$$

Accepted Answer

A)  $Y e s$ 
B)  $\mathrm { No }$ 
A)  $Y e s$ 
B)  $\mathrm { No }$

Question 18

-What were the total sales for the first 6 months of 1989?

Accepted Answer

A)  $46,000 
B)  $366,000 
C)  $240,000 
D)  $290,000 
A)  $46,000 
B)  $366,000 
C)  $240,000 
D)  $290,000

Question 19

Solve the equation by factoring.
-$$15 x ^ { 2 } + 19 x - 7 = - 13$$

Accepted Answer

A)  $x = - \frac { 5 } { 3 }$ or $x = - \frac { 2 } { 3 }$ 
B)  $x = \frac { 5 } { 3 }$ or $x = \frac { 3 } { 2 }$ 
C)  $x = - \frac { 3 } { 5 }$ or $x = - \frac { 2 } { 3 }$ 
D)  $x = \frac { 3 } { 5 }$ or $x = \frac { 2 } { 3 }$ 
A)  $x = - \frac { 5 } { 3 }$ or $x = - \frac { 2 } { 3 }$ 
B)  $x = \frac { 5 } { 3 }$ or $x = \frac { 3 } { 2 }$ 
C)  $x = - \frac { 3 } { 5 }$ or $x = - \frac { 2 } { 3 }$ 
D)  $x = \frac { 3 } { 5 }$ or $x = \frac { 2 } { 3 }$

Question 20

Solve the problem.
-The number of mosquitoes $M ( x )$, in millions, in a certain area depends on the June rainfall $x$, in inches: $M ( x ) = 2 x - x ^ { 2 }$. What rainfall produces the maximum number of mosquitoes?

Accepted Answer

A)  4 in. 
B)  0 in. 
C)  2 in. 
D)  1 in. 
A)  4 in. 
B)  0 in. 
C)  2 in. 
D)  1 in.

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

Use interval notation to describe the interval of real numbers. -

Solve the equation using the quadratic formula. - $x ^ { 2 } - 3 = \sqrt { 7 } x$

Use interval notation to describe the interval of real numbers. -

Find the standard form equation for the circle. -Center $( - 1,2 )$ , radius $\sqrt { 2 }$

Use interval notation to describe the set of numbers. -Salary raises at Clemson University will average between 2.5% and 5.5%.

Describe and graph the interval of real numbers. - $[ - 4,1 ]$

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

Solve the equation. - $- 6 x ^ { 2 } - 4 x - 17 = x - 9$

Use an inequality to describe the interval of real numbers. - $( - 9,1 ]$

Find the value of x and the value of y for which (x, 2) and (8, y) are points on the graph. - $y = 3 x + 7$

Find the product of the complex number and its conjugate. -1 - 3i

Use a method of your choice to solve the equation. - $x ^ { 2 } - 1 = | x + 8 |$

Solve the inequality algebraically. Write the solution in interval notation. - $| 3 \mathrm { x } - 1 | < 3.1$

Determine whether the equation is linear in x. - $x - \frac { 1 } { x } = - 1$

Determine the equation of the line described. Put answer in the slope-intercept form, if possible. -Through $( 9,4 )$ , perpendicular to $6 x + 5 y = 34$

Determine whether the equation is linear in x. - $8 x ^ { 3 } - 5 x ^ { 2 } = 3 \left( x ^ { 3 } - 6 \right) - x ^ { 2 } + 2 x$

-What were the total sales for the first 6 months of 1989?

Solve the equation by factoring. - $15 x ^ { 2 } + 19 x - 7 = - 13$

Solve the problem. -The number of mosquitoes $M ( x )$ , in millions, in a certain area depends on the June rainfall $x$ , in inches: $M ( x ) = 2 x - x ^ { 2 }$ . What rainfall produces the maximum number of mosquitoes?

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

Describe and graph the interval of real numbers. - (−∞,3]( - \infty , 3 ](−∞,3]

Use interval notation to describe the interval of real numbers. -

Solve the equation using the quadratic formula. - x2−3=7xx ^ { 2 } - 3 = \sqrt { 7 } xx2−3=7​x

Use interval notation to describe the interval of real numbers. -

Find the standard form equation for the circle. -Center (−1,2)( - 1,2 )(−1,2) , radius 2\sqrt { 2 }2​

Use interval notation to describe the set of numbers. -Salary raises at Clemson University will average between 2.5% and 5.5%.

Describe and graph the interval of real numbers. - [−4,1][ - 4,1 ][−4,1]

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

Solve the equation. - −6x2−4x−17=x−9- 6 x ^ { 2 } - 4 x - 17 = x - 9−6x2−4x−17=x−9

Use an inequality to describe the interval of real numbers. - (−9,1]( - 9,1 ](−9,1]

Find the value of x and the value of y for which (x, 2) and (8, y) are points on the graph. - y=3x+7y = 3 x + 7y=3x+7

Find the product of the complex number and its conjugate. -1 - 3i

Use a method of your choice to solve the equation. - x2−1=∣x+8∣x ^ { 2 } - 1 = | x + 8 |x2−1=∣x+8∣

Solve the inequality algebraically. Write the solution in interval notation. - ∣3x−1∣<3.1| 3 \mathrm { x } - 1 | < 3.1∣3x−1∣<3.1

Determine whether the equation is linear in x. - x−1x=−1x - \frac { 1 } { x } = - 1x−x1​=−1

Determine the equation of the line described. Put answer in the slope-intercept form, if possible. -Through (9,4)( 9,4 )(9,4) , perpendicular to 6x+5y=346 x + 5 y = 346x+5y=34

Determine whether the equation is linear in x. - 8x3−5x2=3(x3−6)−x2+2x8 x ^ { 3 } - 5 x ^ { 2 } = 3 \left( x ^ { 3 } - 6 \right) - x ^ { 2 } + 2 x8x3−5x2=3(x3−6)−x2+2x

-What were the total sales for the first 6 months of 1989?

Solve the equation by factoring. - 15x2+19x−7=−1315 x ^ { 2 } + 19 x - 7 = - 1315x2+19x−7=−13

Solve the problem. -The number of mosquitoes M(x)M ( x )M(x) , in millions, in a certain area depends on the June rainfall xxx , in inches: M(x)=2x−x2M ( x ) = 2 x - x ^ { 2 }M(x)=2x−x2 . What rainfall produces the maximum number of mosquitoes?

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

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

Solve the equation using the quadratic formula. - $x ^ { 2 } - 3 = \sqrt { 7 } x$

Find the standard form equation for the circle. -Center $( - 1,2 )$ , radius $\sqrt { 2 }$

Describe and graph the interval of real numbers. - $[ - 4,1 ]$

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

Solve the equation. - $- 6 x ^ { 2 } - 4 x - 17 = x - 9$

Use an inequality to describe the interval of real numbers. - $( - 9,1 ]$

Find the value of x and the value of y for which (x, 2) and (8, y) are points on the graph. - $y = 3 x + 7$

Use a method of your choice to solve the equation. - $x ^ { 2 } - 1 = | x + 8 |$

Solve the inequality algebraically. Write the solution in interval notation. - $| 3 \mathrm { x } - 1 | < 3.1$

Determine whether the equation is linear in x. - $x - \frac { 1 } { x } = - 1$

Determine the equation of the line described. Put answer in the slope-intercept form, if possible. -Through $( 9,4 )$ , perpendicular to $6 x + 5 y = 34$

Determine whether the equation is linear in x. - $8 x ^ { 3 } - 5 x ^ { 2 } = 3 \left( x ^ { 3 } - 6 \right) - x ^ { 2 } + 2 x$

Solve the equation by factoring. - $15 x ^ { 2 } + 19 x - 7 = - 13$

Solve the problem. -The number of mosquitoes $M ( x )$ , in millions, in a certain area depends on the June rainfall $x$ , in inches: $M ( x ) = 2 x - x ^ { 2 }$ . What rainfall produces the maximum number of mosquitoes?