Question 1

For the following two problems impedance in an AC circuit is the sum of the resistance, measured in real numbers, the inductive reactance , measured with positive imaginary numbers, and the capacitive reactance, measured with negative imaginary numbers.
-The voltage drops an AC circuit are  volts,  volts and  volts. Find the sum of the voltage drops in the circuit.

Accepted Answer

A)   
B)   
C)   
D)   
E)   None of these D

Question 2

Solve the following quadratic inequalities and write your answer in interval notation.
-

Accepted Answer

A)   
B)   
C)   
D)   
E)   None of these B

Question 3

Change the function  so that the graph that represents the function is shifted:
-3 units left and 6 units up

Accepted Answer

A)   
B)   
C)   
D)   
E)   None of these B

Question 4

Change the function  so that the graph that represents the function is shifted:
-9 units right and 3 units down

Accepted Answer

A)   
B)   
C)   
D)   
E)   None of these

Question 5

The value of the leading coefficient, a, is 1. Write the equation of the quadratic function with the vertex

Accepted Answer

A)   
B)   
C)   
D)   
E)   None of these

Question 6

Solve the following equations by completing the square.
-

Accepted Answer

A)   
B)   
C)   
D)   
E)   None of these

Question 7

Find the discriminant and use it to identify the solutions as rational, irrational, or non-real numbers.
-

Accepted Answer

A)   - 256, rational
B)   -64 , non-real
C)   -256 , non-real
D)   64, rational
E)   None of these

Question 8

Two resistors And Are in series and have a total resistance of 19 ohms. The resistance of Is one of the solutions of the equation The other resistance Is the other solution. Find the value of each resistor in ohms.

Accepted Answer

A)   -7 ohms and -12 ohms
B)   7 ohms and 12 ohms
C)   11 ohms and 9 ohms
D)   -11 ohms and -9 ohms
E)   None of these

Question 9

For the following functions use completing the square to rewrite the function in vertex form.
-

Accepted Answer

A)   
B)   
C)   
D)   
E)   None of these

Question 10

The revenue in dollars from making Products is How many items must be produced for the revenue to be $400?

Accepted Answer

A)   40 items
B)   60 items
C)   10 items
D)   100 items
E)   None of these

Question 11

Solve the following equations using the quadratic formula.
-

Accepted Answer

A)   
B)   
C)   
D)   
E)   None of these

Question 12

What must be added to the binomial To make it a perfect square?

Accepted Answer

A)   14
B)   7
C)   49
D)   28
E)   None of these

Question 13

Solve the following equations using the quadratic formula.
-

Accepted Answer

A)   
B)   
C)   
D)   
E)   None of these

Question 14

Solve the following equations using the quadratic formula.
-

Accepted Answer

A)   
B)   
C)   
D)   
E)   None of these

Question 15

Use interval notation to represent the range of the following function.

Accepted Answer

A)   
B)   
C)   
D)   
E)   None of these

Question 16

For the following questions assume that all variables in radicands are non-negative numbers.
-Simplify.

Accepted Answer

A)   
B)   
C)   
D)   
E)   None of these

Question 17

For the following functions use completing the square to rewrite the function in vertex form.
-

Accepted Answer

A)   
B)   
C)   
D)   
E)   None of these

Question 18

Determine whether the following function has a maximum or a minimum value, and identify the maximum or minimum output value.

Accepted Answer

A)   maximum, -4
B)   maximum, 3
C)   minimum, 3
D)   minimum, -4
E)   None of these

Question 19

Use a number line graph to represent the solutions to the given quadratic inequalities.
-

Accepted Answer

A)   
B)   
C)   
D)   
E)   None of these

Question 20

The graph of the function  
is shown. Use the graph to estimate the zeros of the function.

Accepted Answer

A)   
B)   
C)   
D)   
E)   None of these

Exam 7: Quadratic Expressions, Equations and Functions

Solve the following quadratic inequalities and write your answer in interval notation. -

Change the function so that the graph that represents the function is shifted: -3 units left and 6 units up

Change the function so that the graph that represents the function is shifted: -9 units right and 3 units down

The value of the leading coefficient, a, is 1. Write the equation of the quadratic function with the vertex

Solve the following equations by completing the square. -

Find the discriminant and use it to identify the solutions as rational, irrational, or non-real numbers. -

Two resistors And Are in series and have a total resistance of 19 ohms. The resistance of Is one of the solutions of the equation The other resistance Is the other solution. Find the value of each resistor in ohms.

For the following functions use completing the square to rewrite the function in vertex form. -

The revenue in dollars from making Products is How many items must be produced for the revenue to be $400?

Solve the following equations using the quadratic formula. -

What must be added to the binomial To make it a perfect square?

Solve the following equations using the quadratic formula. -

Solve the following equations using the quadratic formula. -

Use interval notation to represent the range of the following function.

For the following questions assume that all variables in radicands are non-negative numbers. -Simplify.

For the following functions use completing the square to rewrite the function in vertex form. -

Determine whether the following function has a maximum or a minimum value, and identify the maximum or minimum output value.

Use a number line graph to represent the solutions to the given quadratic inequalities. -

The graph of the function is shown. Use the graph to estimate the zeros of the function.