Draw a graph of a relationship that does not represent y as a function of x.
What is (look at the graph)?
100
The perimeter of a rectangle is 42 centimeters. The length of the rectangle can be represented by (x + 4), and its width can be represented by (2x – 7). What are the dimensions of this rectangle in centimeters?
What is the length = 12 cm, width = 9 cm?
100
Complete the set of ordered pairs for the function y = 12 – 3x.
{(-5, __), (-1, __), (8, __)}
What is {(-5, 27), (-1, 15), (8, -12)}?
100
If y = - 4/5x – 2, what is the value of x when y = -9? Leave the answer as an improper fraction.
What is x = 35/4?
200
A print shop charges a fixed amount per photocopy and gives a 10% discount off the total cost of the photocopies. The total cost is a function of the number of photocopies made. What is the independent quantity in this situation?
What is the total number of photocopies made?
200
In which step below does a mistake first appear in simplifying the expression
0.5c(-12c + 6) – 3(c + 4) + 10(c – 5)?
Step 1: -6c + 3 – 3(c + 4) + 10(c – 5)
Step 2: -6c + 3 – 3c – 12 + 10(c – 5)
Step 3: -6c + 3 – 3c – 12 + 10c – 50
Step 4: 7c – 41
What is Step 4?
200
If (2k, k) and (3k, 4k) are two points on the graph of a line and k is not equal to 0, what is the slope of the line?
What is 3?
200
An architect is designing an office building with n floors that will have an FM radio antenna 15.85 m tall on its roof. Each floor of the building will be 3.9 m high. Write a function that can be used to find the total height of the building in meters, including the FM antenna.
What is h(n) = 3.9n + 15.85?
300
The sales tax rate at a clothing store is 8.75%. Sales tax on an item is a function of its price. What is the dependent quantity in this function?
What is the amount of sales tax on the item?
300
For the function w, w(9) = -7, and w(-7) = 9. If y = w(x), what is the value of y when x = -7?
What is y = 9?
300
The value of y varies directly with x. Write a function that represents the relationship between x and y if y = 20/3 when x = 30.
What is y = 2/9 x?
300
A painter charges $35 per hour for labor plus $40 for a ladder rental when he paints a house. The customer provides the paint. The total charge to paint a customer’s house was $950. How many hours did the painter spend painting the house?
What is 26 hours?
400
Which of the following relations is a function?
I. {(0, 0), (0, 1), (0, 2)}
II. {(0, 0), (1,1), (2,4)}
III. {(0, 0), (1, 2), (2,2)}
IV. {(0, 0), (1, 2), (1, 3)}
What is II and III are the only relations that are functions?
400
A store manager begins each shift with the same amount of money. She keeps $200 in a safe and distributes the rest equally to the 5 cashiers in the store. This situation can be represented by the function y = ((x-200))/5. What does the variable x represent in this situation?
What is the total amount of money the manager has at the beginning of the shift?
400
The number of ferryboat trips, f(c), needed to transport c cars in 1 day can be found using the function f(c) = c/20. If there are no more than 5,000 cars transported by ferryboat daily, what is the range of the function for this situation?
What is the set of all integers from 0 to 250? (Sample)
400
The average annual rainfall for a particular city is 33.2 inches. In the first 30 weeks of this year, the city received a total of 9.7 inches of rain. If it is expected to rain between 1.5 and 2.1 inches per week through the end of the year, what is a reasonable number of additional weeks needed to reach its average rainfall?
What is (Any number between 11 and 15 weeks)?
500
Southern Phone Company is promoting a new cell phone service plan: a customer can make up to 500 minutes of calls each month for $39.99. If the number of minutes used in a month exceeds 500, then the function
c = 0.40(m – 500) + 39.99
describes the monthly charge, c, in dollars in terms of m, the total number of minutes used.
Describe how this function is used to calculate the monthly charge.
What is if the total number of minutes used is more than 500, then every minute beyond 500 costs 40 cents?
500
The set of ordered pairs represents some points on the graph of function f.
{(3, 11), (-1, 3), (5, 15), (-4, -3), (-7, -9)}
Write the equation of the parent function of f.
What is y = x?
500
Students at a school will sell hats to raise money. There are some hats left over from last year, and 20 boxes of hats will be ordered this year. When the order arrives, the total number of hats the students will have can be determined using the function f(x) = 48x + 37, where x represents the number of boxes ordered. If the number of hats per box changes so that the situation is modeled by the function h(x) = 24x + 37, then how many fewer hats will the students have available to sell if they still order 20 boxes?
What is 480 fewer hats?
500
Ms. Rodriguez plans to order from 20 to 26 books for her class. The prices of the books she plans to order range from $4.95 to $22.95 each. If the publisher charges a shipping fee of $0.50 per book ordered, find the range of prices that Ms. Rodriguez should plan for.