Question 1

Retailers will buy 45 cordless phones from a wholesaler if the price is $10 each but only 20 if the price is $60. The wholesaler will supply 35 phones at $30 each and 56 at $42 each. Assuming the supply and demand functions are linear, find the market equilibrium point  . ​

Accepted Answer

A) market equilibrium point:  
B) market equilibrium point:  
C) market equilibrium point:  
D) market equilibrium point:  
E) market equilibrium point:

Question 2

Find the equilibrium point for the following supply and demand functions below, where p is price per unit and q is the number of units produced and sold. ​
Demand:  Supply:  ​

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 3

Solve for y in terms of x. ​  ​

Accepted Answer

A)   
B)   
C)   
D) ​  
E)

Question 4

Find the intercepts of the following function. ​  ​

Accepted Answer

A) x-intercept: 6 y-intercept: -4 
B) x-intercept: -4 y-intercept: 6 
C) x-intercept: -2 y-intercept: 2 
D) x-intercept: 4 y-intercept: -6 
E) x-intercept: 3 y-intercept: -2

Question 5

If  and  , find  and simplify. ​

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 6

Suppose that a certain product has the following demand and supply functions, where p is the price per unit in dollars and q is the quantity produced. ​
Demand:  Supply:  ​
If a $44 tax is placed on each unit of the product of the following. What is the new equilibrium point?
​

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 7

The figure below show the demand and supply functions for a product. Decide which line shows the supply function and which line the demand function. ​  ​
Is there a surplus or shortage when the price is $33?
​

Accepted Answer

A) There is a surplus. 
B) There is a shortage.

Question 8

Using a graphing utility or Excel to find the solution of the system. ​
​  ​

Accepted Answer

A) ( -2, -6) 
B) ( -3, 6) 
C) ( -6, -3) 
D) ( -3, -2) 
E) There is no solution.

Question 9

​Graph the equation with a graphing utility using the specified range. Is the graph below the graph of the given equation? ​  ​
​  ​

Accepted Answer

A) ​no 
B) ​yes

Question 10

Let  and  . Find  and simplify. ​

Accepted Answer

A)   
B)   
C) ​  
D)   
E) ​

Question 11

Choose the graph that represents the equation below. ​
​  ​

Accepted Answer

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

Question 12

Solve the system by elimination, or by any convenient method. ​

Accepted Answer

A)  
And  
B)  
And  
C)  
And  
D)  
And  
E) There is no solution to the equations.

Question 13

In the United States between 1970 and 2002, the number (in millions) of black children B(x) and Hispanic children H(x) can be described by  and  , where x is the number of years after December 31st, 1970. In what year were the numbers of children equal? ​

Accepted Answer

A) 1980 
B) 1988 
C) 1981 
D) 1982 
E) 1996

Question 14

Determine whether the following pairs of equations represent parallel lines, perpendicular lines, or neither of these. ​   ​

Accepted Answer

A) parallel lines 
B) perpendicular lines 
C) neither

Question 15

The equation in this problem leads to a linear equation. Solve for x. Because the solution to the linear equation may not be a solution to the original equation, be sure to check the solution in the original equation. ​  ​

Accepted Answer

A) x =  
B) x =  
C) x =  
D) x =  
E) no solution

Question 16

Suppose  in the figure below. How many values of x satisfy  ? ​  ​

Accepted Answer

A) 2 
B) 1 
C) 4 
D) 5 
E) 3

Question 17

Write the equation of the line passing through the given pair of points. ​
(2,-3) and (-1,3)
​

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 18

If  , is y a function of x?

Accepted Answer

A) Yes 
B) No

Question 19

Solve the system of equations by using graphical methods. ​
​  ​

Accepted Answer

A) (5,2) 
B) (-5,-2) 
C) (2,-5 
D) (-2,2) 
E) There are infinitely many solutions to the equations.

Question 20

As the price of a commodity decreases, what happens to supply? ​

Accepted Answer

A) If the price decreases, then the supply will increases. 
B) If the price decreases, then the supply will remain constant. 
C) If the price decreases, then the supply will decreases.

Exam 2: Linear Equations and Functions

Retailers will buy 45 cordless phones from a wholesaler if the price is $10 each but only 20 if the price is $60. The wholesaler will supply 35 phones at $30 each and 56 at $42 each. Assuming the supply and demand functions are linear, find the market equilibrium point .

Find the equilibrium point for the following supply and demand functions below, where p is price per unit and q is the number of units produced and sold. Demand: Supply:

Solve for y in terms of x.

Find the intercepts of the following function.

If and , find and simplify.

Suppose that a certain product has the following demand and supply functions, where p is the price per unit in dollars and q is the quantity produced. Demand: Supply: If a $44 tax is placed on each unit of the product of the following. What is the new equilibrium point?

The figure below show the demand and supply functions for a product. Decide which line shows the supply function and which line the demand function. Is there a surplus or shortage when the price is $33?

Using a graphing utility or Excel to find the solution of the system.

Graph the equation with a graphing utility using the specified range. Is the graph below the graph of the given equation?

Let and . Find and simplify.

Choose the graph that represents the equation below.

Solve the system by elimination, or by any convenient method.

In the United States between 1970 and 2002, the number (in millions) of black children B(x) and Hispanic children H(x) can be described by and , where x is the number of years after December 31st, 1970. In what year were the numbers of children equal?

Determine whether the following pairs of equations represent parallel lines, perpendicular lines, or neither of these.

The equation in this problem leads to a linear equation. Solve for x. Because the solution to the linear equation may not be a solution to the original equation, be sure to check the solution in the original equation.

Suppose in the figure below. How many values of x satisfy ?

Write the equation of the line passing through the given pair of points. (2,-3) and (-1,3)

If , is y a function of x?

Solve the system of equations by using graphical methods.

As the price of a commodity decreases, what happens to supply?

Exam 2: Linear Equations and Functions

Retailers will buy 45 cordless phones from a wholesaler if the price is $10 each but only 20 if the price is $60. The wholesaler will supply 35 phones at $30 each and 56 at $42 each. Assuming the supply and demand functions are linear, find the market equilibrium point . ​

Find the equilibrium point for the following supply and demand functions below, where p is price per unit and q is the number of units produced and sold. ​ Demand: Supply: ​

Solve for y in terms of x. ​ ​

Find the intercepts of the following function. ​ ​

If and , find and simplify. ​

Suppose that a certain product has the following demand and supply functions, where p is the price per unit in dollars and q is the quantity produced. ​ Demand: Supply: ​ If a $44 tax is placed on each unit of the product of the following. What is the new equilibrium point? ​

The figure below show the demand and supply functions for a product. Decide which line shows the supply function and which line the demand function. ​ ​ Is there a surplus or shortage when the price is $33? ​

Using a graphing utility or Excel to find the solution of the system. ​ ​ ​

​Graph the equation with a graphing utility using the specified range. Is the graph below the graph of the given equation? ​ ​ ​ ​

Let and . Find and simplify. ​

Choose the graph that represents the equation below. ​ ​ ​

Solve the system by elimination, or by any convenient method. ​

In the United States between 1970 and 2002, the number (in millions) of black children B(x) and Hispanic children H(x) can be described by and , where x is the number of years after December 31st, 1970. In what year were the numbers of children equal? ​

Determine whether the following pairs of equations represent parallel lines, perpendicular lines, or neither of these. ​ ​

The equation in this problem leads to a linear equation. Solve for x. Because the solution to the linear equation may not be a solution to the original equation, be sure to check the solution in the original equation. ​ ​

Suppose in the figure below. How many values of x satisfy ? ​ ​

Write the equation of the line passing through the given pair of points. ​ (2,-3) and (-1,3) ​

If , is y a function of x?

Solve the system of equations by using graphical methods. ​ ​ ​

As the price of a commodity decreases, what happens to supply? ​

Retailers will buy 45 cordless phones from a wholesaler if the price is $10 each but only 20 if the price is $60. The wholesaler will supply 35 phones at $30 each and 56 at $42 each. Assuming the supply and demand functions are linear, find the market equilibrium point .

Find the equilibrium point for the following supply and demand functions below, where p is price per unit and q is the number of units produced and sold. Demand: Supply:

Solve for y in terms of x.

Find the intercepts of the following function.

If and , find and simplify.

Suppose that a certain product has the following demand and supply functions, where p is the price per unit in dollars and q is the quantity produced. Demand: Supply: If a $44 tax is placed on each unit of the product of the following. What is the new equilibrium point?

The figure below show the demand and supply functions for a product. Decide which line shows the supply function and which line the demand function. Is there a surplus or shortage when the price is $33?

Using a graphing utility or Excel to find the solution of the system.

Graph the equation with a graphing utility using the specified range. Is the graph below the graph of the given equation?

Let and . Find and simplify.

Choose the graph that represents the equation below.

Solve the system by elimination, or by any convenient method.

In the United States between 1970 and 2002, the number (in millions) of black children B(x) and Hispanic children H(x) can be described by and , where x is the number of years after December 31st, 1970. In what year were the numbers of children equal?

Determine whether the following pairs of equations represent parallel lines, perpendicular lines, or neither of these.

The equation in this problem leads to a linear equation. Solve for x. Because the solution to the linear equation may not be a solution to the original equation, be sure to check the solution in the original equation.

Suppose in the figure below. How many values of x satisfy ?

Write the equation of the line passing through the given pair of points. (2,-3) and (-1,3)

Solve the system of equations by using graphical methods.

As the price of a commodity decreases, what happens to supply?