Analyzing Graphs — Cumulative exam Answers

A new coffee shop can hold no more than 50 seats. The owner wants at least 20 of the seats to be stools and the remaining seats to be recliners. If x is the number of stools and y is the number of recliners, which graph represents the solution to the system of inequalities? x + y ≤ 50x ≥ 20

The perimeter of a rectangular pool is more than 62 meters, and the width is at least 10 meters less than the length. Which system of inequalities represents the possible length in meters, l, and the possible width in meters, w, of the pool?

Which expression is a difference of squares with a factor of 5x − 8?

The crew of a garbage truck takes 5 hours to empty all the bins in one neighborhood on pickup day. The city assigned a second garbage truck to this neighborhood. During their training, it took the crew from the second truck 8 hours to empty all the bins.

What is the solution to the equation ?

Marlena created a table of values representing the height in feet, h(t), of a coconut falling to the hard ground with a height of 0 feet, collected over t seconds. Assume the coconut does not bounce and rests on the ground when it lands.

A 2-column table with 8 rows. The first column is labeled t with entries negative 4, negative 3, negative 2, negative 1, 0, 1, 2, 3. The second column is labeled f of x with entries negative 54, negative 20, negative 4, 0, negative 2, negative 4, 0, 16.

The inverse of the function f(x) = is shown. h(x) = 2x-What is the missing value?

The tile along the edge of a triangular community pool needs to be replaced.

Which linear function represents the line given by the point-slope equation y – 2 = 4(x – 3)?

What is the product?

A team is selling discount cards as a fundraiser. The table shows the number of cards sold and the remaining amount of money needed.

Which system of linear inequalities has the point (2, 1) in its solution set?

Which shows all the values of x that make the rational expression undefined?

Becky created a graph to represent her distance away from home one afternoon. She left home and ran to the park, met some friends and stayed at the park, and then walked back home using the same route. Which graph could Becky have created?

Which term can be added to the list so that the greatest common factor of the three terms is 12h3?36h3, 12h6, __________

Which graph represents the function y = 2x – 4?