Question 1

Solve for x in terms of the other letters. $\frac { b - x } { b - a } - 2 = \frac { c - x } { a - c }$

Accepted Answer

A)  x=2b 
B)  x=a 
C)  x=2a 
D)  x=c 
E)  x=1/2a 
A)  x=2b 
B)  x=a 
C)  x=2a 
D)  x=c 
E)  x=1/2a B

Question 2

Find both the x-intercept and the y-intercept for the equation defined as follows: $3 x + 4 y = 12$ Choose the correct graph of this straight line equation.

Accepted Answer

A)  3   
B)  1b   
C)  1a   
D)  2   
E)  1   
A)  3   
B)  1b   
C)  1a   
D)  2   
E)  1   E

Question 3

Solve for x in terms of the other letters. $\frac { x } { a } + \frac { x } { b } = 3$

Accepted Answer

A)  $x = \frac { 3 a b } { b + a }$ 
B)  $x = \frac { b - a } { b + a }$ 
C)  $x = \frac { b - a } { a b }$ 
D)  $x = 3 ( a + b )$ 
E)  $x = \frac { - 3 - a b } { b - a }$ 
A)  $x = \frac { 3 a b } { b + a }$ 
B)  $x = \frac { b - a } { b + a }$ 
C)  $x = \frac { b - a } { a b }$ 
D)  $x = 3 ( a + b )$ 
E)  $x = \frac { - 3 - a b } { b - a }$ A

Question 4

Which of the following points is closest to the origin?

Accepted Answer

A)  (-4,12) 
B)  (-12,-8) 
C)  (-8,12) 
D)  (-5,-14) 
E)  (8,-11) 
A)  (-4,12) 
B)  (-12,-8) 
C)  (-8,12) 
D)  (-5,-14) 
E)  (8,-11)

Question 5

Use a calculator to determine all x-intercepts and all y-intercept accurate to two decimal places.

Accepted Answer

A)  x-intercept: - 2.00; y-intercept: - 0.86 
B)  x-intercepts: 1.46, 5.16; y-intercept: - 2.00 
C)  x-intercept: 2.00; y-intercepts: 1.16, - 4.16 
D)  x-intercept: - 2.00; y-intercepts: - 1.16, 5.16 
E)  x-intercepts: 0, - 2.00; y-intercept: - 1.46 
A)  x-intercept: - 2.00; y-intercept: - 0.86 
B)  x-intercepts: 1.46, 5.16; y-intercept: - 2.00 
C)  x-intercept: 2.00; y-intercepts: 1.16, - 4.16 
D)  x-intercept: - 2.00; y-intercepts: - 1.16, 5.16 
E)  x-intercepts: 0, - 2.00; y-intercept: - 1.46

Question 6

Find the intercepts and determine what type of symmetry the graph possesses. $y = x ^ { 2 } - 6 x + 9$

Accepted Answer

A)    Symmetry about the y-axis. 
B)    No symmetry. 
C)    Symmetry about the y-axis. 
D)    No symmetry. 
E)    Symmetry about the x-axis. 
A)    Symmetry about the y-axis. 
B)    No symmetry. 
C)    Symmetry about the y-axis. 
D)    No symmetry. 
E)    Symmetry about the x-axis.

Question 7

Determine whether the given point lies on the graph of the equation. $( 4,3 ) ; y = \frac { 1 } { 2 } x + 3$
A) True
B) Flase

Accepted Answer

A) True 
 B)False

Question 8

Draw a number line showing the location of the indicated number 9/8.

Accepted Answer

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

Question 9

Find the equation of the line described below. $x \text {-intercept } 5 ; y \text {-intercept } 4$

Accepted Answer

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

Question 10

Given the following three points, (-14, 8), (-7, 8), (-7, 16),
Which of the following statements is true?

Accepted Answer

A)  The points are not the vertices of any triangle. 
B)  The points are the vertices of an equilateral triangle. 
C)  The points are the vertices of a right triangle. 
D)  The points are the vertices of a triangle that is neither right nor isosceles nor equilateral. 
E)  The points are the vertices of an isosceles triangle. 
A)  The points are not the vertices of any triangle. 
B)  The points are the vertices of an equilateral triangle. 
C)  The points are the vertices of a right triangle. 
D)  The points are the vertices of a triangle that is neither right nor isosceles nor equilateral. 
E)  The points are the vertices of an isosceles triangle.

Question 11

Use a calculator to graph the equation. Then approximate the x-intercepts accurate to three decimal places. y = x 5  - 8x 4  + 3

Accepted Answer

A)  - 0.765, 0.804, 8.001 
B)  - 0.765, 0.804, 7.999 
C)  4.000, 0.804, 0.265 
D)  0.904, 0.765, 4.000 
E)  - 0.765, 0.904, 4.000 
A)  - 0.765, 0.804, 8.001 
B)  - 0.765, 0.804, 7.999 
C)  4.000, 0.804, 0.265 
D)  0.904, 0.765, 4.000 
E)  - 0.765, 0.904, 4.000

Question 12

Find the intercepts and determine what type of symmetry the graph possesses. $x = y ^ { 2 } - 4$

Accepted Answer

A)    Symmetry about the x-axis. 
B)    Symmetry about the y-axis. 
C)    Symmetry about the y-axis. 
D)    Symmetry about the x-axis. 
E)    Symmetry about the x-axis. 
A)    Symmetry about the x-axis. 
B)    Symmetry about the y-axis. 
C)    Symmetry about the y-axis. 
D)    Symmetry about the x-axis. 
E)    Symmetry about the x-axis.

Question 13

Find the midpoint of the line segment joining P and Q. P ( - 3, 9) and Q ( 21, - 13)

Accepted Answer

A)  (11,0) 
B)  (10,-1) 
C)  (8,-3) 
D)  (7,-3) 
E)  (9,-2) 
A)  (11,0) 
B)  (10,-1) 
C)  (8,-3) 
D)  (7,-3) 
E)  (9,-2)

Question 14

Use a calculator to determine all x-intercepts and all y-intercept accurate to two decimal places.

Accepted Answer

A)  x-intercepts: $$0,5.87,1.87$$ y-intercepts: $$0,1$$ 
B)  x-intercepts: $0 , - 5.87,0.87$ y-intercept: $0$ 
C)  x-intercepts: $0 , - 5.87,1.87$ y-intercepts: $0 , - 1$ 
D)  x-intercepts: $0 , - 5.87,1.87$ y-intercept: $0$ 
E)  x-intercepts: $0 , - 6.87,1.87$ y-intercept: $0$ 
A)  x-intercepts: $$0,5.87,1.87$$ y-intercepts: $$0,1$$ 
B)  x-intercepts: $0 , - 5.87,0.87$ y-intercept: $0$ 
C)  x-intercepts: $0 , - 5.87,1.87$ y-intercepts: $0 , - 1$ 
D)  x-intercepts: $0 , - 5.87,1.87$ y-intercept: $0$ 
E)  x-intercepts: $0 , - 6.87,1.87$ y-intercept: $0$

Question 15

Find the center of the circle. $$x ^ { 2 } + y ^ { 2 } + 8 x - 4 y = - 16$$

Accepted Answer

A)  (4,2) 
B)  (-4,2) 
C)  (-4,-2) 
D)  (-8,4) 
E)  (4,-2) 
A)  (4,2) 
B)  (-4,2) 
C)  (-4,-2) 
D)  (-8,4) 
E)  (4,-2)

Question 16

Rewrite expression without using absolute value notation. | x - 8 | given that x < 8

Accepted Answer

A)  x - 8 
B)  8 - x 
C)  - x - 8 
D)  x + 8 
E)  8 + x 
A)  x - 8 
B)  8 - x 
C)  - x - 8 
D)  x + 8 
E)  8 + x

Question 17

Find the distance between the given points. (4, 9) and (7, 13)

Accepted Answer

A)  8 
B)  6 
C)  5 
D)  4 
E)  2 
A)  8 
B)  6 
C)  5 
D)  4 
E)  2

Question 18

Evaluate. | 3 | + | - 3 |

Accepted Answer

A)  $\overline { 9 }$ 
B)  $\overline { 6 }$ 
C)  9 
D)  6 
E)  0 
A)  $\overline { 9 }$ 
B)  $\overline { 6 }$ 
C)  9 
D)  6 
E)  0

Question 19

Find the intercepts and determine what type of symmetry the graph possesses. $y = - 4 + x ^ { 2 }$

Accepted Answer

A)    Symmetry about the y-axis. 
B)    Symmetry about the y-axis. 
C)    Symmetry about the x-axis. 
D)    Symmetry about the y-axis. 
E)    Symmetry about the y-axis. 
A)    Symmetry about the y-axis. 
B)    Symmetry about the y-axis. 
C)    Symmetry about the x-axis. 
D)    Symmetry about the y-axis. 
E)    Symmetry about the y-axis.

Question 20

Draw a number line showing the approximate location of the indicated number π/3.

Accepted Answer

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

Solve for x in terms of the other letters. $\frac { b - x } { b - a } - 2 = \frac { c - x } { a - c }$

Find both the x-intercept and the y-intercept for the equation defined as follows: $3 x + 4 y = 12$ Choose the correct graph of this straight line equation.

Solve for x in terms of the other letters. $\frac { x } { a } + \frac { x } { b } = 3$

Which of the following points is closest to the origin?

Use a calculator to determine all x-intercepts and all y-intercept accurate to two decimal places.

Find the intercepts and determine what type of symmetry the graph possesses. $y = x ^ { 2 } - 6 x + 9$

Determine whether the given point lies on the graph of the equation. $( 4,3 ) ; y = \frac { 1 } { 2 } x + 3$ A) True B) Flase

Draw a number line showing the location of the indicated number 9/8.

Find the equation of the line described below. $x \text {-intercept } 5 ; y \text {-intercept } 4$

Given the following three points, (-14, 8), (-7, 8), (-7, 16), Which of the following statements is true?

Use a calculator to graph the equation. Then approximate the x-intercepts accurate to three decimal places. y = x⁵ - 8x⁴ + 3

Find the intercepts and determine what type of symmetry the graph possesses. $x = y ^ { 2 } - 4$

Find the midpoint of the line segment joining P and Q. P ( - 3, 9) and Q ( 21, - 13)

Use a calculator to determine all x-intercepts and all y-intercept accurate to two decimal places.

Find the center of the circle. $x ^ { 2 } + y ^ { 2 } + 8 x - 4 y = - 16$

Rewrite expression without using absolute value notation. | x - 8 | given that x < 8

Find the distance between the given points. (4, 9) and (7, 13)

Evaluate. | 3 | + | - 3 |

Find the intercepts and determine what type of symmetry the graph possesses. $y = - 4 + x ^ { 2 }$

Draw a number line showing the approximate location of the indicated number π/3.

Equations and Inequalities

Functions

Polynomial and Rational Functions Applications to Optimization

Exponential and Logarithmic Functions

An Introduction to Trigonometry Via Right Triangles

The Trigonometric Functions

Graphs of the Trigonometric Functions

Analytical Trigonometry

Additional Topics in Trigonometry

Systems of Equations

The Conic Sections

Roots of Polynomial Equations

Additional Topics in Algebra

Filters

Exam 1: Fundamentals

Solve for x in terms of the other letters. b−xb−a−2=c−xa−c\frac { b - x } { b - a } - 2 = \frac { c - x } { a - c }b−ab−x​−2=a−cc−x​

Find both the x-intercept and the y-intercept for the equation defined as follows: 3x+4y=123 x + 4 y = 123x+4y=12 Choose the correct graph of this straight line equation.

Solve for x in terms of the other letters. xa+xb=3\frac { x } { a } + \frac { x } { b } = 3ax​+bx​=3

Which of the following points is closest to the origin?

Use a calculator to determine all x-intercepts and all y-intercept accurate to two decimal places.

Find the intercepts and determine what type of symmetry the graph possesses. y=x2−6x+9y = x ^ { 2 } - 6 x + 9y=x2−6x+9

Determine whether the given point lies on the graph of the equation. (4,3);y=12x+3( 4,3 ) ; y = \frac { 1 } { 2 } x + 3(4,3);y=21​x+3 A) True B) Flase

Draw a number line showing the location of the indicated number 9/8.

Find the equation of the line described below. x-intercept 5;y-intercept 4x \text {-intercept } 5 ; y \text {-intercept } 4x-intercept 5;y-intercept 4

Given the following three points, (-14, 8), (-7, 8), (-7, 16), Which of the following statements is true?

Use a calculator to graph the equation. Then approximate the x-intercepts accurate to three decimal places. y = x 5 - 8x 4 + 3

Find the intercepts and determine what type of symmetry the graph possesses. x=y2−4x = y ^ { 2 } - 4x=y2−4

Find the midpoint of the line segment joining P and Q. P ( - 3, 9) and Q ( 21, - 13)

Use a calculator to determine all x-intercepts and all y-intercept accurate to two decimal places.

Find the center of the circle. x2+y2+8x−4y=−16x ^ { 2 } + y ^ { 2 } + 8 x - 4 y = - 16x2+y2+8x−4y=−16

Rewrite expression without using absolute value notation. | x - 8 | given that x < 8

Find the distance between the given points. (4, 9) and (7, 13)

Evaluate. | 3 | + | - 3 |

Find the intercepts and determine what type of symmetry the graph possesses. y=−4+x2y = - 4 + x ^ { 2 }y=−4+x2

Draw a number line showing the approximate location of the indicated number π/3.

Equations and Inequalities

Functions

Polynomial and Rational Functions Applications to Optimization

Exponential and Logarithmic Functions

An Introduction to Trigonometry Via Right Triangles

The Trigonometric Functions

Graphs of the Trigonometric Functions

Analytical Trigonometry

Additional Topics in Trigonometry

Systems of Equations

The Conic Sections

Roots of Polynomial Equations

Additional Topics in Algebra

Filters

Solve for x in terms of the other letters. $\frac { b - x } { b - a } - 2 = \frac { c - x } { a - c }$

Find both the x-intercept and the y-intercept for the equation defined as follows: $3 x + 4 y = 12$ Choose the correct graph of this straight line equation.

Solve for x in terms of the other letters. $\frac { x } { a } + \frac { x } { b } = 3$

Find the intercepts and determine what type of symmetry the graph possesses. $y = x ^ { 2 } - 6 x + 9$

Determine whether the given point lies on the graph of the equation. $( 4,3 ) ; y = \frac { 1 } { 2 } x + 3$ A) True B) Flase

Find the equation of the line described below. $x \text {-intercept } 5 ; y \text {-intercept } 4$

Use a calculator to graph the equation. Then approximate the x-intercepts accurate to three decimal places. y = x⁵ - 8x⁴ + 3

Find the intercepts and determine what type of symmetry the graph possesses. $x = y ^ { 2 } - 4$

Find the center of the circle. $x ^ { 2 } + y ^ { 2 } + 8 x - 4 y = - 16$

Find the intercepts and determine what type of symmetry the graph possesses. $y = - 4 + x ^ { 2 }$