PA Algebra Keystone

Do the ordered pairs below represent a relation, a function, both a relation and a function, or neither a relation nor a function?

(-3, 5), (3, -7), (7, -15), (9, -19)

• function only

• neither a relation nor a function

• both a relation and a function

• relation only

Answer explanation

All functions are relations

But not all relations are functions

The table represents a function of x.

Which equation describes the function?

• y = -2x + 12

• y = -2x + 24

• y = 2x + 12

• y = 2x + 24

A pizza restaurant charges for pizzas and adds a delivery fee. The cost (x), in dollars, to have any number of pizzas (p) delivered to a home is described by the function c = 8p + 3. Which statement is true?

• The cost of 8 pizzas is $11.

• The cost of 3 pizzas is $14.

• Each pizza costs $8 and the delivery fee is $3.

• Each pizza costs $3 and the delivery fee is $8.

Aki wants to buy a music player that costs $234 using only the money he earned from mowing lawns. The table shows the amount of money Aki earned as a function of the number of lawns he mowed. Based on the function shown in the table, what is the LEAST number of lawns Aki will have to mow to buy the music player?

• 22

• 29

• 30

• 31

Is this relation a function?

{(4, 5), (-3, 2), (5, 5), (2, -3)}

• Yes, because there is exactly one x-value for every y-value

• Yes, because there is exactly one y-value for every x-value

• No, because there is more than one x-value for some y-values

• No, because there is more than one y-value for every x-value

Which inequality represents the range of the relation graphed?

• 
• 
• 
• 

Which ordered pair (x, y) makes the relation below a function?

• (-4, 0)

• (-2, 0)

• (2, 0)

• (4, 0)

The number of hours the waitstaff at Emilio's Restaurant worked one day and the amount in tips each person got is shown in the table. What is the range of this relation?

• {2, 4, 5, 6}

• {2, 4, 5, 6, 16}

• {16, 36, 40, 45}

• {2, 4, 5, 6, 16, 26, 40, 45}

Answer explanation

The range is referring to the y-values, or the $ in Tips. List the numbers in ascending order.

Identify the slope and y-intercept of:
y = 1/5x + 5

• slope: 1/6   y-intercept:  4 

• slope: 1/5   y-intercept:  5 

• slope: 5/1   y-intercept:  5 

• slope: 1   y-intercept:  5 

Which statement about the relation is true?

• The relation is not a function of x because all functions are linear

• The relation is a function of x because values of x increase towards infinity

• The relation is a function of x because each value of y corresponds to one value of x

• The relation is not a function of x because more than one value of y may correspond to the same value of x