Question 1

Choose the one alternative that best completes the statement or answers the question.
-Given $a = - 2 , b = - 10$, which of the following statements is false?

Accepted Answer

A)  $| a / b | = a / b$ 
B)  $| a | + b \mid = - ( a + b )$ 
C)  $\mid a b l = - a b$ 
A)  $| a / b | = a / b$ 
B)  $| a | + b \mid = - ( a + b )$ 
C)  $\mid a b l = - a b$

Question 2

Find which values of x are solutions.
-$$3 x ^ { 2 } - 14 x = 5$$
a. $x = 5$
b. $x = 0$
c. $x = - \frac { 1 } { 3 }$

Accepted Answer

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

Question 3

-What were the total sales for the first 6 months of 1990?

Accepted Answer

A)  $286,000 
B)  $302,000 
C)  $64,000 
D)  $366,000 
A)  $286,000 
B)  $302,000 
C)  $64,000 
D)  $366,000

Question 4

Perform the indicated operation. Write the result in standard form.
-$[ - 4 + 4 i \sqrt { 3 } ] ^ { 3 }$

Accepted Answer

A)  512 
B)  $- 4 + 4 i \sqrt { 3 }$ 
C)  64 
D)  $64 + 12 i \sqrt { 3 }$ 
A)  512 
B)  $- 4 + 4 i \sqrt { 3 }$ 
C)  64 
D)  $64 + 12 i \sqrt { 3 }$

Question 5

Solve the problem.
-Let R(x) = -11x + 176 represent the number of students present in a large class, where x represents the number of hours of study required weekly. What is the rate of change of the number of students in the class with respect
To the number of hours of study?

Accepted Answer

A)  11 
B)  -176 
C)  -11 
D)  176 
A)  11 
B)  -176 
C)  -11 
D)  176

Question 6

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

Accepted Answer

A)  $\mathrm { G } ( 3,5 ) , \mathrm { H } ( 7 , - 2 )$ 
B)  $\mathrm { G } ( 3,7 ) , \mathrm { H } ( 5,7 )$ 
C)  $\mathrm { G } ( 3,5 ) , \mathrm { H } ( - 2,7 )$ 
D)  $\mathrm { G } ( 5,22 ) , \mathrm { H } ( 7 , - 2 )$ 
A)  $\mathrm { G } ( 3,5 ) , \mathrm { H } ( 7 , - 2 )$ 
B)  $\mathrm { G } ( 3,7 ) , \mathrm { H } ( 5,7 )$ 
C)  $\mathrm { G } ( 3,5 ) , \mathrm { H } ( - 2,7 )$ 
D)  $\mathrm { G } ( 5,22 ) , \mathrm { H } ( 7 , - 2 )$

Question 7

Solve the inequality algebraically. Write the solution in interval notation.
-$| 4 x - 4 | \geq 5$

Accepted Answer

A)  $\left( - \infty , - \frac { 1 } { 4 } \right] \cup \left[ \frac { 9 } { 4 } , \infty \right)$ 
B)  $\left[ - \frac { 1 } { 4 } , \frac { 9 } { 4 } \right]$ 
C)  $\left[ \frac { 9 } { 4 } , \infty \right)$ 
D)  $\left( - \infty , - \frac { 9 } { 4 } \right] \cup [ 5 , \infty )$ 
A)  $\left( - \infty , - \frac { 1 } { 4 } \right] \cup \left[ \frac { 9 } { 4 } , \infty \right)$ 
B)  $\left[ - \frac { 1 } { 4 } , \frac { 9 } { 4 } \right]$ 
C)  $\left[ \frac { 9 } { 4 } , \infty \right)$ 
D)  $\left( - \infty , - \frac { 9 } { 4 } \right] \cup [ 5 , \infty )$

Question 8

Find the value of x or y so that the line through the pair of points has the given slope.
-$( x , 2 )$ and $( 3,10 ) ; m = 4$

Accepted Answer

A)  2 
B)  1 
C)  3 
D)  $- 2$ 
A)  2 
B)  1 
C)  3 
D)  $- 2$

Question 9

Use interval notation to describe the set of numbers.
-The price of a computer varies from $839 to $5457.

Accepted Answer

A)  [839, 5457] 
B)  [839, 5457) 
C)  [5457, 839] 
D)  (839, 5457] 
A)  [839, 5457] 
B)  [839, 5457) 
C)  [5457, 839] 
D)  (839, 5457]

Question 10

-Which month in 1989 had the lowest sales?

Accepted Answer

A)  Month 3 
B)  Month 8 
C)  Month 6 
D)  Month 2 
A)  Month 3 
B)  Month 8 
C)  Month 6 
D)  Month 2

Question 11

Find a point-slope form equation for the line through the point with the given slope.
-$$( - 5,7 ) , m = - \frac { 1 } { 2 }$$

Accepted Answer

A)  $y - 7 = - \frac { 1 } { 2 } ( x + 5 )$ 
B)  $y + 7 = - \frac { 1 } { 2 } ( x + 5 )$ 
C)  $y - 7 = \frac { 1 } { 2 } ( x + 5 )$ 
D)  $y - 7 = - \frac { 1 } { 2 } ( x - 5 )$ 
A)  $y - 7 = - \frac { 1 } { 2 } ( x + 5 )$ 
B)  $y + 7 = - \frac { 1 } { 2 } ( x + 5 )$ 
C)  $y - 7 = \frac { 1 } { 2 } ( x + 5 )$ 
D)  $y - 7 = - \frac { 1 } { 2 } ( x - 5 )$

Question 12

Solve the inequality.
-$$\frac { 1 } { 4 } ( x + 3 ) - 4 x \leq 3 ( 2 + x )$$

Accepted Answer

A)  $x \leq - \frac { 7 } { 9 }$ 
B)  $x \geq \frac { 1 } { 9 }$ 
C)  $x \leq \frac { 1 } { 9 }$ 
D)  $x \geq - \frac { 7 } { 9 }$ 
A)  $x \leq - \frac { 7 } { 9 }$ 
B)  $x \geq \frac { 1 } { 9 }$ 
C)  $x \leq \frac { 1 } { 9 }$ 
D)  $x \geq - \frac { 7 } { 9 }$

Question 13

Give the quadrant in which the point is located.
-$$\left( \frac { 3 } { 8 } , - \frac { 4 } { 5 } \right)$$

Accepted Answer

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

Question 14

-What was the increase in sales between month 5 and month 6 of 1990?

Accepted Answer

A)  $4 
B)  $800 
C)  $4000 
D)  $8000 
A)  $4 
B)  $800 
C)  $4000 
D)  $8000

Question 15

Use a method of your choice to solve the equation.
-$$x + 1 = \frac { 10 } { x }$$

Accepted Answer

A)  $x = - 3.70$ or $x = 2.70$ 
B)  $x = - 3.20$ or $x = 3.20$ 
C)  $x = - 2.70$ or $x = 3.70$ 
D)  $x = 1$ 
A)  $x = - 3.70$ or $x = 2.70$ 
B)  $x = - 3.20$ or $x = 3.20$ 
C)  $x = - 2.70$ or $x = 3.70$ 
D)  $x = 1$

Question 16

Solve the inequality algebraically. Write the solution in interval notation.
-$\left| \frac { x - 5 } { 4 } \right| \leq 2$

Accepted Answer

A)  $( - \infty , - 3 ) \cup ( 13 , \infty )$ 
B)  $( - \infty , - 3 ] \cup [ 13 , \infty )$ 
C)  $[ - 3,13 ]$ 
D)  $( - 3,13 )$ 
A)  $( - \infty , - 3 ) \cup ( 13 , \infty )$ 
B)  $( - \infty , - 3 ] \cup [ 13 , \infty )$ 
C)  $[ - 3,13 ]$ 
D)  $( - 3,13 )$

Question 17

Find a general form equation for the line through the pair of points.
-(4, 3) and (-7, 1)

Accepted Answer

A)  2x + 11y + 25 = 0 
B)  -2x + 11y + 25 = 0 
C)  2x - 11y - 25 = 0 
D)  2x - 11y + 25 = 0 
A)  2x + 11y + 25 = 0 
B)  -2x + 11y + 25 = 0 
C)  2x - 11y - 25 = 0 
D)  2x - 11y + 25 = 0

Question 18

Solve the equation using the quadratic formula.
-$$x ^ { 2 } - 14 x + 40 = 2 x ^ { 2 } - 16 x + 32$$

Accepted Answer

A)  $x = 4$ or $x = - 2$ 
B)  $x = \frac { - \sqrt { 32 } } { 2 }$ or $x = \frac { \sqrt { 32 } } { 2 }$ 
C)  $x = \frac { 1 } { 4 }$ or $x = - 2$ 
D)  $x = \frac { - \sqrt { 17 } } { 2 }$ or $x = \frac { \sqrt { 17 } } { 2 }$ 
A)  $x = 4$ or $x = - 2$ 
B)  $x = \frac { - \sqrt { 32 } } { 2 }$ or $x = \frac { \sqrt { 32 } } { 2 }$ 
C)  $x = \frac { 1 } { 4 }$ or $x = - 2$ 
D)  $x = \frac { - \sqrt { 17 } } { 2 }$ or $x = \frac { \sqrt { 17 } } { 2 }$

Question 19

Solve the equation graphically by finding x-intercepts.
-$$| x + 8 | = 1$$

Accepted Answer

A)  $x = - 9$ or $x = 9$ 
B)  $x = - 9$ or $x = - 7$ 
C)  $x = 7$ or $x = - 7$ 
D)  $x = - 9$ or $x = 0$ 
A)  $x = - 9$ or $x = 9$ 
B)  $x = - 9$ or $x = - 7$ 
C)  $x = 7$ or $x = - 7$ 
D)  $x = - 9$ or $x = 0$

Question 20

Solve the equation by factoring.
-$$x ^ { 2 } + 4 x - 96 = 0$$

Accepted Answer

A)  $x = - 12$ or $x = 1$ 
B)  $x = 12$ or $x = 8$ 
C)  $x = 12$ or $x = - 8$ 
D)  $x = - 12$ or $x = 8$ 
A)  $x = - 12$ or $x = 1$ 
B)  $x = 12$ or $x = 8$ 
C)  $x = 12$ or $x = - 8$ 
D)  $x = - 12$ or $x = 8$

Choose the one alternative that best completes the statement or answers the question. -Given $a = - 2 , b = - 10$ , which of the following statements is false?

Find which values of x are solutions. - $3 x ^ { 2 } - 14 x = 5$ a. $x = 5$ b. $x = 0$ c. $x = - \frac { 1 } { 3 }$

-What were the total sales for the first 6 months of 1990?

Perform the indicated operation. Write the result in standard form. - $[ - 4 + 4 i \sqrt { 3 } ] ^ { 3 }$

Solve the problem. -Let R(x) = -11x + 176 represent the number of students present in a large class, where x represents the number of hours of study required weekly. What is the rate of change of the number of students in the class with respect To the number of hours of study?

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

Solve the inequality algebraically. Write the solution in interval notation. - $| 4 x - 4 | \geq 5$

Find the value of x or y so that the line through the pair of points has the given slope. - $( x , 2 )$ and $( 3,10 ) ; m = 4$

Use interval notation to describe the set of numbers. -The price of a computer varies from $839 to $5457.

-Which month in 1989 had the lowest sales?

Find a point-slope form equation for the line through the point with the given slope. - $( - 5,7 ) , m = - \frac { 1 } { 2 }$

Solve the inequality. - $\frac { 1 } { 4 } ( x + 3 ) - 4 x \leq 3 ( 2 + x )$

Give the quadrant in which the point is located. - $\left( \frac { 3 } { 8 } , - \frac { 4 } { 5 } \right)$

-What was the increase in sales between month 5 and month 6 of 1990?

Use a method of your choice to solve the equation. - $x + 1 = \frac { 10 } { x }$

Solve the inequality algebraically. Write the solution in interval notation. - $\left| \frac { x - 5 } { 4 } \right| \leq 2$

Find a general form equation for the line through the pair of points. -(4, 3) and (-7, 1)

Solve the equation using the quadratic formula. - $x ^ { 2 } - 14 x + 40 = 2 x ^ { 2 } - 16 x + 32$

Solve the equation graphically by finding x-intercepts. - $| x + 8 | = 1$

Solve the equation by factoring. - $x ^ { 2 } + 4 x - 96 = 0$

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

Choose the one alternative that best completes the statement or answers the question. -Given a=−2,b=−10a = - 2 , b = - 10a=−2,b=−10 , which of the following statements is false?

Find which values of x are solutions. - 3x2−14x=53 x ^ { 2 } - 14 x = 53x2−14x=5 a. x=5x = 5x=5 b. x=0x = 0x=0 c. x=−13x = - \frac { 1 } { 3 }x=−31​

-What were the total sales for the first 6 months of 1990?

Perform the indicated operation. Write the result in standard form. - [−4+4i3]3[ - 4 + 4 i \sqrt { 3 } ] ^ { 3 }[−4+4i3​]3

Solve the problem. -Let R(x) = -11x + 176 represent the number of students present in a large class, where x represents the number of hours of study required weekly. What is the rate of change of the number of students in the class with respect To the number of hours of study?

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

Solve the inequality algebraically. Write the solution in interval notation. - ∣4x−4∣≥5| 4 x - 4 | \geq 5∣4x−4∣≥5

Find the value of x or y so that the line through the pair of points has the given slope. - (x,2)( x , 2 )(x,2) and (3,10);m=4( 3,10 ) ; m = 4(3,10);m=4

Use interval notation to describe the set of numbers. -The price of a computer varies from $839 to $5457.

-Which month in 1989 had the lowest sales?

Find a point-slope form equation for the line through the point with the given slope. - (−5,7),m=−12( - 5,7 ) , m = - \frac { 1 } { 2 }(−5,7),m=−21​

Solve the inequality. - 14(x+3)−4x≤3(2+x)\frac { 1 } { 4 } ( x + 3 ) - 4 x \leq 3 ( 2 + x )41​(x+3)−4x≤3(2+x)

Give the quadrant in which the point is located. - (38,−45)\left( \frac { 3 } { 8 } , - \frac { 4 } { 5 } \right)(83​,−54​)

-What was the increase in sales between month 5 and month 6 of 1990?

Use a method of your choice to solve the equation. - x+1=10xx + 1 = \frac { 10 } { x }x+1=x10​

Solve the inequality algebraically. Write the solution in interval notation. - ∣x−54∣≤2\left| \frac { x - 5 } { 4 } \right| \leq 2​4x−5​​≤2

Find a general form equation for the line through the pair of points. -(4, 3) and (-7, 1)

Solve the equation using the quadratic formula. - x2−14x+40=2x2−16x+32x ^ { 2 } - 14 x + 40 = 2 x ^ { 2 } - 16 x + 32x2−14x+40=2x2−16x+32

Solve the equation graphically by finding x-intercepts. - ∣x+8∣=1| x + 8 | = 1∣x+8∣=1

Solve the equation by factoring. - x2+4x−96=0x ^ { 2 } + 4 x - 96 = 0x2+4x−96=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

Choose the one alternative that best completes the statement or answers the question. -Given $a = - 2 , b = - 10$ , which of the following statements is false?

Find which values of x are solutions. - $3 x ^ { 2 } - 14 x = 5$ a. $x = 5$ b. $x = 0$ c. $x = - \frac { 1 } { 3 }$

Perform the indicated operation. Write the result in standard form. - $[ - 4 + 4 i \sqrt { 3 } ] ^ { 3 }$

Solve the inequality algebraically. Write the solution in interval notation. - $| 4 x - 4 | \geq 5$

Find the value of x or y so that the line through the pair of points has the given slope. - $( x , 2 )$ and $( 3,10 ) ; m = 4$

Find a point-slope form equation for the line through the point with the given slope. - $( - 5,7 ) , m = - \frac { 1 } { 2 }$

Solve the inequality. - $\frac { 1 } { 4 } ( x + 3 ) - 4 x \leq 3 ( 2 + x )$

Give the quadrant in which the point is located. - $\left( \frac { 3 } { 8 } , - \frac { 4 } { 5 } \right)$

Use a method of your choice to solve the equation. - $x + 1 = \frac { 10 } { x }$

Solve the inequality algebraically. Write the solution in interval notation. - $\left| \frac { x - 5 } { 4 } \right| \leq 2$

Solve the equation using the quadratic formula. - $x ^ { 2 } - 14 x + 40 = 2 x ^ { 2 } - 16 x + 32$

Solve the equation graphically by finding x-intercepts. - $| x + 8 | = 1$

Solve the equation by factoring. - $x ^ { 2 } + 4 x - 96 = 0$