Factoring Polynomials: Sum and Difference of Cubes — Cumulative exam Answers

Elias and Niko are polishing the silver at the heritage museum. Elias could polish all the silver himself in 40 minutes. That task would take Niko 50 minutes to complete alone. Which table is filled in correctly and could be used to determine how long it would take if Elias and Niko polished the silver together?

Ray was in charge of filling the soccer team’s water jug for practice. At the beginning of practice he filled the jug. Halfway through practice the team took a water break. After the break Ray refilled the jug so the players could have water after practice. At the end of practice Ray drained the jug. Which graph could represent the level of the water in the jug during and after practice?

Which property is demonstrated below?

The school band wishes to raise a minimum of $800 by selling tickets to their holiday concert. They make $3 from each student ticket and $5 from each adult ticket. Let x represent the number of student tickets, and let y represent the number of adult tickets. Which linear inequality can be used to find the combinations of adult and student tickets that they can sell to meet their goal?

Which are differences of perfect cubes? Select two options.

Which is true about the polynomial ?

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?

What are the domain and range of the piecewise function below?

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

The 10th-grade class officers ordered t-shirts and sweatshirts to sell as a fundraiser. Each t-shirt weighed of a pound, and each sweatshirt weighed of a pound. The total weight of the contents of the box was pounds. Which equation written in standard form represents the number of t-shirts, t, and the number of sweatshirts, s, that were ordered?

Alejandro bought $3.50 worth of pencils and erasers at the school store. Pencils cost $0.50 apiece, and erasers cost $0.75 apiece. Which equation written in standard form represents the number of pencils, p, and the number of erasers, e, that Alejandro bought?

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

Which polynomial is prime?

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

The monomial 36x4 is a perfect square. What is the square root of 36x4?

A local high school requires at least one adult chaperone for every 12 students on any field trip. The principal uses the inequality to verify that this rule is met. The ordered pair (50, 5) is in the solution set of the inequality. What does (50, 5) represent?

Which is the graph of linear inequality 6x + 2y > –10?

Wren recorded an outside temperature of –2°F at 8 a.m. When she checked the temperature again, it was 4°F at 12:00 p.m. If x represents the time and y represents the temperature in degrees Fahrenheit, what is the slope of the line through these two data points?

What is the difference of the polynomials?(5x3 + 4x2) – (6x2 – 2x – 9)

What is the inverse of the function f(x) = 4x + 8?