Question 1

Graph the equation.
-

Accepted Answer

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

Question 2

Solve the problem.
-The perimeter of a rectangle is 26 inches and its area is 30 square inches. What are its dimensions?

Accepted Answer

A)  3 in. by 10 in. 
B)  2 in. by 9 in. 
C)  2 in. by 11 in. 
D)  4 in. by 9 in. 
A)  3 in. by 10 in. 
B)  2 in. by 9 in. 
C)  2 in. by 11 in. 
D)  4 in. by 9 in.

Question 3

Find all real solutions to the system of equations using the addition method.
-3

Accepted Answer

A)  (2, 1), (2, -1), (-2, 1), (-2, -1) 
B)  (-1, 2), (1, -2) 
C)  (2, 1), (-2, -1) 
D)  (1, 2), (-1, 2), (1, -2), (-1, -2) 
A)  (2, 1), (2, -1), (-2, 1), (-2, -1) 
B)  (-1, 2), (1, -2) 
C)  (2, 1), (-2, -1) 
D)  (1, 2), (-1, 2), (1, -2), (-1, -2)

Question 4

Solve the problem.
-Simple interest is calculated using the formula, interest = principal · rate · time or i = prt. Jenny Brooks invested a certain amount of money saved for 1 year at a certain annual interest rate (simple interest) yielded $9.12 in
Interest. If we had added $76 to the principal and reduced the interest rate by 2 percentage point(s), the interest
Would have been the same. Find the principal and the rate.

Accepted Answer

A)  $152.00, 6% 
B)  $8.00, 4% 
C)  $8.00, 6% 
D)  $7.66, 608% 
A)  $152.00, 6% 
B)  $8.00, 4% 
C)  $8.00, 6% 
D)  $7.66, 608%

Question 5

Determine the equations of the asymptotes for the equation.
-

Accepted Answer

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

Question 6

Name the conic.
-

Accepted Answer

A)  circle 
B)  ellipse 
C)  parabola 
D)  hyperbola 
A)  circle 
B)  ellipse 
C)  parabola 
D)  hyperbola

Question 7

Graph the equation.
-

Accepted Answer

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

Question 8

Indicate whether the equation represents an ellipse, hyperbola, circle, or parabola. In equations that contain both   and   terms, divide both sides of the equation by the constant term to put the equation in a more recognizable form.
-

Accepted Answer

A)  Parabola 
B)  Hyperbola 
C)  Circle 
D)  Ellipse 
A)  Parabola 
B)  Hyperbola 
C)  Circle 
D)  Ellipse

Question 9

Write the equation in the form y   and then graph the equation.
-

Accepted Answer

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

Question 10

Solve the problem.
-The arch beneath a bridge is semi-elliptical, a one-way roadway passes under the arch. The width of the roadway is 32 feet and the height of the arch over the center of the roadway is 12 feet. Two trucks plan to use
This road. They are both 8 feet wide. Truck 1 has an overall height of 12 feet and Truck 2 has an overall height of
11 feet. Draw a rough sketch of the situation and determine which of the trucks can pass under the bridge.

Accepted Answer

A)  Truck 2 can pass under the bridge, but Truck 1 cannot. 
B)  Neither Truck 1 nor Truck 2 can pass under the bridge. 
C)  Truck 1 can pass under the bridge, but Truck 2 cannot. 
D)  Both Truck 1 and Truck 2 can pass under the bridge. 
A)  Truck 2 can pass under the bridge, but Truck 1 cannot. 
B)  Neither Truck 1 nor Truck 2 can pass under the bridge. 
C)  Truck 1 can pass under the bridge, but Truck 2 cannot. 
D)  Both Truck 1 and Truck 2 can pass under the bridge.

Question 11

Graph the equation.
-

Accepted Answer

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

Question 12

Use the method of completing the square to write the equation in standard form. Then graph the equation.
-

Accepted Answer

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

Question 13

Graph the equation.
-

Accepted Answer

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

Question 14

Write the equation of the circle with the given center and radius.
-Center (-8, -3), radius 1

Accepted Answer

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

Question 15

Write the equation in the form y   and then graph the equation.
-x

Accepted Answer

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

Question 16

Write the equation in the form y   and then graph the equation.
-

Accepted Answer

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

Question 17

Solve the problem.
-Find the equation of the hyperbola whose vertices are (0, 10) and (0, -10) and whose asymptotes are   and

Accepted Answer

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

Question 18

Graph the equation.
-(

Accepted Answer

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

Question 19

Determine the distance between the pair of points.
-(4, 6) and (-4, -7)

Accepted Answer

A)  -5 
B)    
C)  104 
D)    
A)  -5 
B)    
C)  104 
D)

Question 20

Find all real solutions to the system of equations using the addition method.
-

Accepted Answer

A)  (3, 4), (-3, 4), (3, -4), (-3, -4) 
B)  (-3, -4), (-4, -3) 
C)  (3, 4), (4, 3), (-3, -4), (-4, -3) 
D)  (3, -4), (3, 4) 
A)  (3, 4), (-3, 4), (3, -4), (-3, -4) 
B)  (-3, -4), (-4, -3) 
C)  (3, 4), (4, 3), (-3, -4), (-4, -3) 
D)  (3, -4), (3, 4)

Graph the equation. -

Solve the problem. -The perimeter of a rectangle is 26 inches and its area is 30 square inches. What are its dimensions?

Find all real solutions to the system of equations using the addition method. -3

Determine the equations of the asymptotes for the equation. -

Name the conic. -

Graph the equation. -

Indicate whether the equation represents an ellipse, hyperbola, circle, or parabola. In equations that contain both and terms, divide both sides of the equation by the constant term to put the equation in a more recognizable form. -

Write the equation in the form y and then graph the equation. -

Graph the equation. -

Use the method of completing the square to write the equation in standard form. Then graph the equation. -

Graph the equation. -

Write the equation of the circle with the given center and radius. -Center (-8, -3), radius 1

Write the equation in the form y and then graph the equation. -x

Write the equation in the form y and then graph the equation. -

Solve the problem. -Find the equation of the hyperbola whose vertices are (0, 10) and (0, -10) and whose asymptotes are and

Graph the equation. -(

Determine the distance between the pair of points. -(4, 6) and (-4, -7)

Find all real solutions to the system of equations using the addition method. -

Real Numbers

Solving Linear Equations and Inequalities

Applications of Algebra

Graphing Linear Equations

Exponents and Polynomials

Factoring

Rational Expressions and Equations

Functions and Their Graphs

Systems of Linear Equations

Inequalities in One and Two Variables

Roots, Radicals, and Complex Numbers

Quadratic Functions

Exponential and Logarithmic Functions

Sequences, Series, and the Binomial Theorem

Appendix Review of Decimals and Percent

Filters

Exam 14: Conic Sections

Graph the equation. -

Solve the problem. -The perimeter of a rectangle is 26 inches and its area is 30 square inches. What are its dimensions?

Find all real solutions to the system of equations using the addition method. -3

Determine the equations of the asymptotes for the equation. -

Name the conic. -

Graph the equation. -

Indicate whether the equation represents an ellipse, hyperbola, circle, or parabola. In equations that contain both and terms, divide both sides of the equation by the constant term to put the equation in a more recognizable form. -

Write the equation in the form y and then graph the equation. -

Graph the equation. -

Use the method of completing the square to write the equation in standard form. Then graph the equation. -

Graph the equation. -

Write the equation of the circle with the given center and radius. -Center (-8, -3), radius 1

Write the equation in the form y and then graph the equation. -x

Write the equation in the form y and then graph the equation. -

Solve the problem. -Find the equation of the hyperbola whose vertices are (0, 10) and (0, -10) and whose asymptotes are and

Graph the equation. -(

Determine the distance between the pair of points. -(4, 6) and (-4, -7)

Find all real solutions to the system of equations using the addition method. -

Real Numbers

Solving Linear Equations and Inequalities

Applications of Algebra

Graphing Linear Equations

Exponents and Polynomials

Factoring

Rational Expressions and Equations

Functions and Their Graphs

Systems of Linear Equations

Inequalities in One and Two Variables

Roots, Radicals, and Complex Numbers

Quadratic Functions

Exponential and Logarithmic Functions

Sequences, Series, and the Binomial Theorem

Appendix Review of Decimals and Percent

Filters