Question 1

Solve the inequality graphically.
-$3 x^{3}>27 x$

Accepted Answer

A)  $( - 3,3 )$ 
B)  $( - 3,0 ) \cup ( 3 , \infty )$ 
C)  $( - \infty , - 3 ) \cup ( 3 , \infty )$ 
D)  $( - \infty , - 3 ) \cup ( 0,3 )$ 
A)  $( - 3,3 )$ 
B)  $( - 3,0 ) \cup ( 3 , \infty )$ 
C)  $( - \infty , - 3 ) \cup ( 3 , \infty )$ 
D)  $( - \infty , - 3 ) \cup ( 0,3 )$

Question 2

Solve the inequality. Use algebra to solve the corresponding equation.
-$$\mathrm { x } ^ { 2 } + 2 \mathrm { x } \geq 3$$

Accepted Answer

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

Question 3

Write the expression in the form bi, where b is a real number.
-$\sqrt { - 81 }$

Accepted Answer

A)  $\pm 9$ 
B)  $- 9 \mathrm { i }$ 
C)  $- \mathrm { i } \sqrt { 9 }$ 
D)  $9 \mathrm { i }$ 
A)  $\pm 9$ 
B)  $- 9 \mathrm { i }$ 
C)  $- \mathrm { i } \sqrt { 9 }$ 
D)  $9 \mathrm { i }$

Question 4

Solve the inequality. Use algebra to solve the corresponding equation.
-$x ^ { 2 } + 5 x \geq - 4$

Accepted Answer

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

Question 5

Find a slope-intercept form equation for the line.
-Through $( 0,5 )$, with slope $\frac { 2 } { 3 }$

Accepted Answer

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

Question 6

Give the quadrant in which the point is located.
-$( 12,5 )$

Accepted Answer

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

Question 7

Use words to describe the interval of real numbers.
-$x < - 9$

Accepted Answer

A)  The real numbers greater than or equal to $- 9$. 
B)  The real numbers less than $- 9$. 
C)  The real numbers less than or equal to $- 9$. 
D)  The real numbers greater than $- 9$. 
A)  The real numbers greater than or equal to $- 9$. 
B)  The real numbers less than $- 9$. 
C)  The real numbers less than or equal to $- 9$. 
D)  The real numbers greater than $- 9$.

Question 8

Solve the inequality. Use algebra to solve the corresponding equation.
-$$x ^ { 2 } - 4 x - 12 \leq 0$$

Accepted Answer

A)  $( - \infty , - 2 ] \cup [ 6 , \infty )$ 
B)  $( - \infty , - 2 ]$ 
C)  $[ 6 , \infty )$ 
D)  $[ - 2,6 ]$ 
A)  $( - \infty , - 2 ] \cup [ 6 , \infty )$ 
B)  $( - \infty , - 2 ]$ 
C)  $[ 6 , \infty )$ 
D)  $[ - 2,6 ]$

Question 9

Determine whether the equation is linear in x.
-$$8 x ^ { 2 } - 2.6 x = x ^ { 2 } - 3$$

Accepted Answer

A) True 
 B)False

Question 10

Solve the inequality and draw a number line graph of the solution.
-$$- 11 < - 3 b + 4 \leq 1$$

Accepted Answer

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

Question 11

Write the number in scientific notation.
-$0.000057417$

Accepted Answer

A)  $5.7417 \times 105$ 
B)  $5.7417 \times 10 ^ { 4 }$ 
C)  $5.7417 \times 10 ^ { - 4 }$ 
D)  $5.7417 \times 10 ^ { - 5 }$ 
A)  $5.7417 \times 105$ 
B)  $5.7417 \times 10 ^ { 4 }$ 
C)  $5.7417 \times 10 ^ { - 4 }$ 
D)  $5.7417 \times 10 ^ { - 5 }$

Question 12

Solve the inequality. Use algebra to solve the corresponding equation.
-$$x ^ { 2 } - 4 x + 3 \geq 0$$

Accepted Answer

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

Question 13

Solve the problem.
-If a rocket is propelled upward from ground level, its height in meters after t seconds is given by $h = - 9.8 \mathrm { t } ^ { 2 } + 58.8 \mathrm { t }$. During what interval of time will the rocket be higher than $78.4 \mathrm {~m}$ ?

Accepted Answer

A)  $4 < t < 6$ 
B)  $2 < t < 4$ 
C)  $4 < \mathrm { t } < 4$ 
D)  $0 < t < 2$ 
A)  $4 < t < 6$ 
B)  $2 < t < 4$ 
C)  $4 < \mathrm { t } < 4$ 
D)  $0 < t < 2$

Question 14

Solve the equation graphically by finding x-intercepts.
-$| 5 x - 6 | = 1$

Accepted Answer

A)  $x = - \frac { 7 } { 5 }$ or $x = \frac { 7 } { 5 }$ 
B)  $x = - \frac { 7 } { 5 }$ or $x = \frac { 8 } { 5 }$ 
C)  $x = 1$ or $x = \frac { 8 } { 5 }$ 
D)  $x = 1$ or $x = \frac { 7 } { 5 }$ 
A)  $x = - \frac { 7 } { 5 }$ or $x = \frac { 7 } { 5 }$ 
B)  $x = - \frac { 7 } { 5 }$ or $x = \frac { 8 } { 5 }$ 
C)  $x = 1$ or $x = \frac { 8 } { 5 }$ 
D)  $x = 1$ or $x = \frac { 7 } { 5 }$

Question 15

-What was the total increase in sales for the first 6 months from 1989 to 1990?

Accepted Answer

A)  $12,000 
B)  $18,000 
C)  $652,000 
D)  $76,000 
A)  $12,000 
B)  $18,000 
C)  $652,000 
D)  $76,000

Question 16

Solve the equation by factoring.
-$$3 x ^ { 2 } - 3 x = 0$$

Accepted Answer

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

Question 17

Find a slope-intercept form equation for the line.
-Through $( 0,3 )$, with slope $\frac { 5 } { 4 }$

Accepted Answer

A)  $y = 3 x - \frac { 5 } { 4 }$ 
B)  $y = \frac { 5 } { 4 } x - 3$ 
C)  $y = 3 x + \frac { 5 } { 4 }$ 
D)  $y = \frac { 5 } { 4 } x + 3$ 
A)  $y = 3 x - \frac { 5 } { 4 }$ 
B)  $y = \frac { 5 } { 4 } x - 3$ 
C)  $y = 3 x + \frac { 5 } { 4 }$ 
D)  $y = \frac { 5 } { 4 } x + 3$

Question 18

Find a general form equation for the line through the pair of points.
-(-2, -5) and (6, -3)

Accepted Answer

A)  -2x + 8y + 36 = 0 
B)  -2x - 8y + 36 = 0 
C)  -2x + 8y - 36 = 0 
D)  2x - 8y + 36 = 0 
A)  -2x + 8y + 36 = 0 
B)  -2x - 8y + 36 = 0 
C)  -2x + 8y - 36 = 0 
D)  2x - 8y + 36 = 0

Question 19

Find a slope-intercept form equation for the line.
-Through the points $( 3,5 )$ and $( - 3,7 )$

Accepted Answer

A)  $y = - \frac { 1 } { 3 } x + 6$ 
B)  $y = - \frac { 2 } { 3 } x + 6$ 
C)  $y = - \frac { 1 } { 3 } x + 3$ 
D)  $y = - \frac { 1 } { 3 } x - 6$ 
A)  $y = - \frac { 1 } { 3 } x + 6$ 
B)  $y = - \frac { 2 } { 3 } x + 6$ 
C)  $y = - \frac { 1 } { 3 } x + 3$ 
D)  $y = - \frac { 1 } { 3 } x - 6$

Question 20

Find the midpoint of the line segment with the given endpoints.
-$( 0,2 )$ and $( 7,0 )$

Accepted Answer

A)  $\left( \frac { 7 } { 2 } , 1 \right)$ 
B)  $( - 7,2 )$ 
C)  $\left( - \frac { 7 } { 2 } , 1 \right)$ 
D)  $( 7,2 )$ 
A)  $\left( \frac { 7 } { 2 } , 1 \right)$ 
B)  $( - 7,2 )$ 
C)  $\left( - \frac { 7 } { 2 } , 1 \right)$ 
D)  $( 7,2 )$

Solve the inequality graphically. - $3 x^{3}>27 x$ $Solve the inequality graphically. - 3 x^{3}>27 x$

Solve the inequality. Use algebra to solve the corresponding equation. - $\mathrm { x } ^ { 2 } + 2 \mathrm { x } \geq 3$

Write the expression in the form bi, where b is a real number. - $\sqrt { - 81 }$

Solve the inequality. Use algebra to solve the corresponding equation. - $x ^ { 2 } + 5 x \geq - 4$

Find a slope-intercept form equation for the line. -Through $( 0,5 )$ , with slope $\frac { 2 } { 3 }$

Give the quadrant in which the point is located. - $( 12,5 )$

Use words to describe the interval of real numbers. - $x < - 9$

Solve the inequality. Use algebra to solve the corresponding equation. - $x ^ { 2 } - 4 x - 12 \leq 0$

Determine whether the equation is linear in x. - $8 x ^ { 2 } - 2.6 x = x ^ { 2 } - 3$

Solve the inequality and draw a number line graph of the solution. - $- 11 < - 3 b + 4 \leq 1$ $Solve the inequality and draw a number line graph of the solution. - - 11 < - 3 b + 4 \leq 1$

Write the number in scientific notation. - $0.000057417$

Solve the inequality. Use algebra to solve the corresponding equation. - $x ^ { 2 } - 4 x + 3 \geq 0$

Solve the problem. -If a rocket is propelled upward from ground level, its height in meters after t seconds is given by $h = - 9.8 \mathrm { t } ^ { 2 } + 58.8 \mathrm { t }$ . During what interval of time will the rocket be higher than $78.4 \mathrm {~m}$ ?

Solve the equation graphically by finding x-intercepts. - $| 5 x - 6 | = 1$

-What was the total increase in sales for the first 6 months from 1989 to 1990?

Solve the equation by factoring. - $3 x ^ { 2 } - 3 x = 0$

Find a slope-intercept form equation for the line. -Through $( 0,3 )$ , with slope $\frac { 5 } { 4 }$

Find a general form equation for the line through the pair of points. -(-2, -5) and (6, -3)

Find a slope-intercept form equation for the line. -Through the points $( 3,5 )$ and $( - 3,7 )$

Find the midpoint of the line segment with the given endpoints. - $( 0,2 )$ and $( 7,0 )$

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

Solve the inequality graphically. - 3x3>27x3 x^{3}>27 x3x3>27x

Solve the inequality. Use algebra to solve the corresponding equation. - x2+2x≥3\mathrm { x } ^ { 2 } + 2 \mathrm { x } \geq 3x2+2x≥3

Write the expression in the form bi, where b is a real number. - −81\sqrt { - 81 }−81​

Solve the inequality. Use algebra to solve the corresponding equation. - x2+5x≥−4x ^ { 2 } + 5 x \geq - 4x2+5x≥−4

Find a slope-intercept form equation for the line. -Through (0,5)( 0,5 )(0,5) , with slope 23\frac { 2 } { 3 }32​

Give the quadrant in which the point is located. - (12,5)( 12,5 )(12,5)

Use words to describe the interval of real numbers. - x<−9x < - 9x<−9

Solve the inequality. Use algebra to solve the corresponding equation. - x2−4x−12≤0x ^ { 2 } - 4 x - 12 \leq 0x2−4x−12≤0

Determine whether the equation is linear in x. - 8x2−2.6x=x2−38 x ^ { 2 } - 2.6 x = x ^ { 2 } - 38x2−2.6x=x2−3

Solve the inequality and draw a number line graph of the solution. - −11<−3b+4≤1- 11 < - 3 b + 4 \leq 1−11<−3b+4≤1

Write the number in scientific notation. - 0.0000574170.0000574170.000057417

Solve the inequality. Use algebra to solve the corresponding equation. - x2−4x+3≥0x ^ { 2 } - 4 x + 3 \geq 0x2−4x+3≥0

Solve the problem. -If a rocket is propelled upward from ground level, its height in meters after t seconds is given by h=−9.8t2+58.8th = - 9.8 \mathrm { t } ^ { 2 } + 58.8 \mathrm { t }h=−9.8t2+58.8t . During what interval of time will the rocket be higher than 78.4 m78.4 \mathrm {~m}78.4 m ?

Solve the equation graphically by finding x-intercepts. - ∣5x−6∣=1| 5 x - 6 | = 1∣5x−6∣=1

-What was the total increase in sales for the first 6 months from 1989 to 1990?

Solve the equation by factoring. - 3x2−3x=03 x ^ { 2 } - 3 x = 03x2−3x=0

Find a slope-intercept form equation for the line. -Through (0,3)( 0,3 )(0,3) , with slope 54\frac { 5 } { 4 }45​

Find a general form equation for the line through the pair of points. -(-2, -5) and (6, -3)

Find a slope-intercept form equation for the line. -Through the points (3,5)( 3,5 )(3,5) and (−3,7)( - 3,7 )(−3,7)

Find the midpoint of the line segment with the given endpoints. - (0,2)( 0,2 )(0,2) and (7,0)( 7,0 )(7,0)

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

Solve the inequality graphically. - $3 x^{3}>27 x$ $Solve the inequality graphically. - 3 x^{3}>27 x$

Solve the inequality. Use algebra to solve the corresponding equation. - $\mathrm { x } ^ { 2 } + 2 \mathrm { x } \geq 3$

Write the expression in the form bi, where b is a real number. - $\sqrt { - 81 }$

Solve the inequality. Use algebra to solve the corresponding equation. - $x ^ { 2 } + 5 x \geq - 4$

Find a slope-intercept form equation for the line. -Through $( 0,5 )$ , with slope $\frac { 2 } { 3 }$

Give the quadrant in which the point is located. - $( 12,5 )$

Use words to describe the interval of real numbers. - $x < - 9$

Solve the inequality. Use algebra to solve the corresponding equation. - $x ^ { 2 } - 4 x - 12 \leq 0$

Determine whether the equation is linear in x. - $8 x ^ { 2 } - 2.6 x = x ^ { 2 } - 3$

Solve the inequality and draw a number line graph of the solution. - $- 11 < - 3 b + 4 \leq 1$ $Solve the inequality and draw a number line graph of the solution. - - 11 < - 3 b + 4 \leq 1$

Write the number in scientific notation. - $0.000057417$

Solve the inequality. Use algebra to solve the corresponding equation. - $x ^ { 2 } - 4 x + 3 \geq 0$

Solve the problem. -If a rocket is propelled upward from ground level, its height in meters after t seconds is given by $h = - 9.8 \mathrm { t } ^ { 2 } + 58.8 \mathrm { t }$ . During what interval of time will the rocket be higher than $78.4 \mathrm {~m}$ ?

Solve the equation graphically by finding x-intercepts. - $| 5 x - 6 | = 1$

Solve the equation by factoring. - $3 x ^ { 2 } - 3 x = 0$

Find a slope-intercept form equation for the line. -Through $( 0,3 )$ , with slope $\frac { 5 } { 4 }$

Find a slope-intercept form equation for the line. -Through the points $( 3,5 )$ and $( - 3,7 )$

Find the midpoint of the line segment with the given endpoints. - $( 0,2 )$ and $( 7,0 )$