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?

The late fee for overdue books at a library is $0.25 per day per book, with a maximum late fee of $5.00 per book. Which graph models the total late fee for 3 books that were checked out on the same day and are overdue?

Which situation can be represented by y = 12x − 4?

Which statement about the quadratic parent function is true?

The first five terms in a pattern are shown below. −0.5, −0.25, 0, 0.25, 0.5, . . . If the pattern continues, which expression can be used to find the nth term?

Which inequality is equivalent to −3x + 2y > 5y + 9?

The total cost of renting a banquet hall is a function of the number of hours the hall is rented. The owner of the banquet hall charges $85 per half hour up to a maximum of 4 hours plus a $50 cleaning fee. What is the greatest value in the range for this situation?

An online music service lets customers download an unlimited number of songs for $0.25 each after paying a monthly membership fee of $5.00. The total amount of money a customer spends on music in dollars in a single month can be found using the function y = 0.25x + 5. What does the variable x represent in this function?

A boy has 380 prize tickets he wants to exchange for action figures at a prize booth. At this prize booth 5 tickets can be exchanged for a large action figure, and 7 tickets can be exchanged for 2 small action figures. The boy wants 4 times as many small action figures as large action figures. Based on this information, can the boy get 80 small action figures?

Customers at a bank are charged a fee when they exchange U.S. dollars for foreign currency. The function f (x) 78.5x − 392.5 can be used to determine the number of Japanese yen a customer receives in exchange for x dollars, where x > 5. Which table shows this relationship?

A senior employee who works 16 hours earns $39.50 more than a junior employee who works 18 hours. The senior employee earns $14 per hour. What is the hourly pay in dollars and cents for the junior employee?

A customer pays an annual membership fee of $85 to a neighborhood car wash. Each time he takes his car to the car wash, he pays only $7. The total amount of money he spends at the car wash in one year in dollars can be found using the function y = 7x + 85. What does the variable x represent in this function?

The owner of a store buys large boxes of candy bars from a warehouse and repackages them to sell in smaller boxes in his store. The store owner packages 4 candy bars in each small box. Each large box contains 24 candy bars. Which graph represents the relationship between x large boxes and y small boxes?

A plane can carry a maximum cargo weight of 160,000 pounds. A company uses one of these planes to ship 2,000-pound containers. The total cargo weight is a function of the number of containers in the plane. What is the greatest value in the domain for this situation?

A factory worker packed 12 boxes at a constant rate, took a 30-minute break, and then continued packing boxes at twice the rate before the break. The worker then spent 1 hour cleaning the work area. Which graph models this situation?

The student council sent its members on four field trips during the school year. The number of buses needed to transport the members on each trip is a function of the number of members who went on each trip. This function consists of only the ordered pairs (52, 3), (72, 4), (86, 5), and (105, 6). What is the domain for this situation?

Baseball fans can buy tickets for seats in the lower deck or upper deck of the stadium. Tickets for the lower deck cost $42 each. Ticket prices for the upper deck are 75% of the cost of tickets for the lower deck. Which inequality represents all possible combinations of x, the number of tickets for the lower deck, and y, the number of tickets for the upper deck, that someone can buy for no more than $800?

A sports magazine prints 12 issues per year, and a technology magazine prints 10 issues per year. The total number of pages in all the issues of the sports magazine for one year is 32 more than the total number of pages in all the issues of the technology magazine for one year. Each issue of the sports magazine has 18 fewer pages than each issue of the technology magazine. Which system of equations can be used to find s, the number of pages in each issue of the sports magazine, and t, the number of pages in each issue of the technology magazine?

A manager purchased a total of 21 coffee mugs and key chains. Each coffee mug cost $8.50, and each key chain cost $2.75. If the manager spent a total of $132.50, how many coffee mugs did the manager purchase?

Which graph represents -3x + 5y = - 15?

The total cost in dollars to buy uniforms for the players on a volleyball team can be found using the function: c= 34.95u + 6.25, where u is the number of uniforms bought. If there are at least 8 players but not more than 12 players on the volleyball team, what is the domain of the function for this situation?

Which graph can be used to find the solution to the system of equations below? 2x + y = -4 -3y = 2x + 12

Which inequality describes all the solutions to 5(3x - x) < -2x + 6?

In an electrical circuit, the voltage across a resistor is directly proportional to the current running through the resistor. If a current of 12 amps produces 480 volts across a resistor, how many volts would a current of 1.5 amps produce across an identical resistor?

Which graph shows a line with an x-intercept of -5?

A bag contains 18 coins consisting of quarters and dimes. The total value of the coins is $2.85. Which system of equations can be used to determine the number of quarters, q, and the number of dimes, d, in the bag?

What is the solution to 0.3(12x - 16) = 0.4(12 - 3x)?

Which situation best represents causation?

A lifeguard earns $320 per week for working 40 hours plus $12 per hour worked over 40 hours. A lifeguard can work a maximum of 60 hours per week. Which graph best represents the lifeguard’s weekly earnings in dollars for working h hours over 40?

A bus travels two different routes: the Green Route and the Blue Route. The routes are different lengths. • On Monday the bus traveled the Green Route 6 times and the Blue Route 5 times, traveling a total of 52 miles. • On Tuesday the bus traveled the Green Route 12 times and the Blue Route 13 times, traveling a total of 119 miles. What is the length of the Green Route in miles?

A student is ordering a flower arrangement. She can choose any combination of roses and carnations for her flower arrangement, and she does not want to spend more than $30. If roses cost $3 each and carnations cost $2 each, which inequality represents all possible combinations of x roses and y carnations?

The value of y is directly proportional to the value of x. If y = 35 when x = 140, what is the value of y when x = 70?

What is the equation of the line that passes through the point (2, 7) and has a slope of zero?

A student graphed f(x) = x and g(x) = f(x) + 3 on the same coordinate grid. Which statement describes how the graphs of f and g are related?

The function y = 3.75 + 1.5(x - 1) can be used to determine the cost in dollars for a taxi ride of x miles. What is the rate of change of the cost in dollars with respect to the number of miles?

Which graph best represents a system of equations that has no solution?

Two customers went to a post office to buy postcards and large envelopes. Each postcard costs the same amount, and each large envelope costs the same amount. • The first customer paid $12 for 14 postcards and 5 large envelopes. • The second customer paid $24.80 for 10 postcards and 15 large envelopes. What was the cost in dollars of each large envelope?

Which situation does NOT show causation?