Question 1

Perform the operation. Write the answer in a + bi form.

Accepted Answer

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

Question 2

Use the method of completing the square to solve the quadratic equation.

Accepted Answer

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

Question 3

Use the factoring method to solve the equation.

Accepted Answer

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

Question 4

When a wholesaler sells   CD players, the revenue is   . How many CD players would the wholesaler have to sell to receive   ?

Accepted Answer

A)    CD players 
B)    CD players 
C)    CD players 
D)    CD players 
E)    CD players 
A)    CD players 
B)    CD players 
C)    CD players 
D)    CD players 
E)    CD players

Question 5

Factor the trinomial square and use the square root method to solve the equation.

Accepted Answer

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

Question 6

Find the vertex of the graph of the equation. Do not draw the graph.

Accepted Answer

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

Question 7

The area of a tennis court is 2,128 square feet (see illustration). The length of the court is   times the width. Find the length and width of the tennis court.

Accepted Answer

A)  94 feet by 25 feet 
B)  82 feet by 26 feet 
C)  85 feet by 25 feet 
D)  76 feet by 22 feet 
E)  76 feet by 28 feet 
A)  94 feet by 25 feet 
B)  82 feet by 26 feet 
C)  85 feet by 25 feet 
D)  76 feet by 22 feet 
E)  76 feet by 28 feet

Question 8

The height in feet   of a rocket in flight is given by the formula   , where   is the time of the flight in seconds. How long will it take for the rocket to hit the ground?

Accepted Answer

A)  11 sec 
B)  10 sec 
C)  8 sec 
D)  12 sec 
E)  13 sec 
A)  11 sec 
B)  10 sec 
C)  8 sec 
D)  12 sec 
E)  13 sec

Question 9

Use the discriminant to determine what type of solutions exist for the quadratic equation. Do not solve the equation.

Accepted Answer

A)  nonreal complex numbers, complex conjugates 
B)  rational, unequal 
C)  rational, equal 
D)  irrational, unequal 
A)  nonreal complex numbers, complex conjugates 
B)  rational, unequal 
C)  rational, equal 
D)  irrational, unequal

Question 10

The distance (in feet) that an object will fall in   seconds is given by the formula   . How long will it take an object to fall 784 feet?

Accepted Answer

A)  7 sec 
B)  49 sec 
C)  9 sec 
D)  6 sec 
E)  48 sec 
A)  7 sec 
B)  49 sec 
C)  9 sec 
D)  6 sec 
E)  48 sec

Question 11

Solve the following quadratic equation.

Accepted Answer

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

Question 12

The area of a rectangular region is 187 square feet. If the length and width are each increased by 5 feet, the area is increased by 165 square feet. Find the length and width of the original rectangle.

Accepted Answer

A)  13 feet by 19 feet 
B)  11 feet by 17 feet 
C)  10 feet by 16 feet 
D)  8 feet by 14 feet 
E)  12 feet by 18 feet 
A)  13 feet by 19 feet 
B)  11 feet by 17 feet 
C)  10 feet by 16 feet 
D)  8 feet by 14 feet 
E)  12 feet by 18 feet

Question 13

Find the vertex of the graph of the equation. Do not draw the graph.

Accepted Answer

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

Question 14

Simplify:

Accepted Answer

The answer of Simplify:  ...

Question 15

Find the minimum point of the graph of   .

Accepted Answer

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

Question 16

Complete the square and factor the resulting perfect-square trinomial.

Accepted Answer

A)  ( 8 t +   )   
B)  ( 8 t -   )   
C)  ( 8 t +   )   
D)  ( 8 t -   )   
A)  ( 8 t +   )   
B)  ( 8 t -   )   
C)  ( 8 t +   )   
D)  ( 8 t -   )

Question 17

Use a graphing calculator to solve the equation. If an answer is not exact, give the result to the nearest hundredth.

Accepted Answer

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

Question 18

Write   in terms of i and simplify.

Accepted Answer

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

Question 19

Simplify the expression. Enter the answer in a + bi form.

Accepted Answer

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

Question 20

Write   in terms of i , perform the indicated operations, and simplify.

Accepted Answer

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

Perform the operation. Write the answer in a + bi form.

Use the method of completing the square to solve the quadratic equation.

Use the factoring method to solve the equation.

When a wholesaler sells CD players, the revenue is . How many CD players would the wholesaler have to sell to receive ?

Factor the trinomial square and use the square root method to solve the equation.

Find the vertex of the graph of the equation. Do not draw the graph.

The area of a tennis court is 2,128 square feet (see illustration). The length of the court is times the width. Find the length and width of the tennis court.

The height in feet of a rocket in flight is given by the formula , where is the time of the flight in seconds. How long will it take for the rocket to hit the ground?

Use the discriminant to determine what type of solutions exist for the quadratic equation. Do not solve the equation.

The distance (in feet) that an object will fall in seconds is given by the formula . How long will it take an object to fall 784 feet?

Solve the following quadratic equation.

The area of a rectangular region is 187 square feet. If the length and width are each increased by 5 feet, the area is increased by 165 square feet. Find the length and width of the original rectangle.

Find the vertex of the graph of the equation. Do not draw the graph.

Simplify:

Find the minimum point of the graph of .

Complete the square and factor the resulting perfect-square trinomial.

Use a graphing calculator to solve the equation. If an answer is not exact, give the result to the nearest hundredth.

Write in terms of i and simplify.

Simplify the expression. Enter the answer in a + bi form.

Write in terms of i , perform the indicated operations, and simplify.

Real Numbers and Their Basic Properties

Equations and Inequalities

Graphs; Equations of Lines; Functions; Variation

Polynomials

Factoring Polynomials and Solving Equations by Factoring

Rational Expressions and Equations; Ratio and Proportion

Systems of Linear Equations and Inequalities in Two Variables

Roots, Radical Expressions, and Radical Equations

Filters

Exam 9: Quadratic Equations, Quadratic Functions, and Complex Numbers

Perform the operation. Write the answer in a + bi form.

Use the method of completing the square to solve the quadratic equation.

Use the factoring method to solve the equation.

When a wholesaler sells CD players, the revenue is . How many CD players would the wholesaler have to sell to receive ?

Factor the trinomial square and use the square root method to solve the equation.

Find the vertex of the graph of the equation. Do not draw the graph.

The area of a tennis court is 2,128 square feet (see illustration). The length of the court is times the width. Find the length and width of the tennis court.

The height in feet of a rocket in flight is given by the formula , where is the time of the flight in seconds. How long will it take for the rocket to hit the ground?

Use the discriminant to determine what type of solutions exist for the quadratic equation. Do not solve the equation.

The distance (in feet) that an object will fall in seconds is given by the formula . How long will it take an object to fall 784 feet?

Solve the following quadratic equation.

The area of a rectangular region is 187 square feet. If the length and width are each increased by 5 feet, the area is increased by 165 square feet. Find the length and width of the original rectangle.

Find the vertex of the graph of the equation. Do not draw the graph.

Simplify:

Find the minimum point of the graph of .

Complete the square and factor the resulting perfect-square trinomial.

Use a graphing calculator to solve the equation. If an answer is not exact, give the result to the nearest hundredth.

Write in terms of i and simplify.

Simplify the expression. Enter the answer in a + bi form.

Write in terms of i , perform the indicated operations, and simplify.

Real Numbers and Their Basic Properties

Equations and Inequalities

Graphs; Equations of Lines; Functions; Variation

Polynomials

Factoring Polynomials and Solving Equations by Factoring

Rational Expressions and Equations; Ratio and Proportion

Systems of Linear Equations and Inequalities in Two Variables

Roots, Radical Expressions, and Radical Equations

Filters