Unit Test — Cumulative exam Answers

A basketball player scored 33 points during a game by shooting 1-point free throws, 2-point field goals, and 3-point field goals. The player scored 17 times. She scored 3 more 2-point field goals than 1-point free throws. The system of equations below represents the situation, where x is the number of 1-point free throws, y is the number of 2-point field goals, and z is the number of 3-point field goals. x + y + z = 17x + 2y + 3z = 33y – x = 3Which matrix and solution represents the number of 1-point free throws, 2-point field goals, and 3-point field goals the player scored?

A store sells almonds for $7 per pound, cashews for $10 per pound, and walnuts for $12 per pound. A customer buys 12 pounds of mixed nuts consisting of almonds, cashews, and walnuts for $118. The customer buys 2 more pounds of walnuts than cashews. The matrix below represents this situation.If the reduced row echelon form of this matrix represents the amount of each type of nut the customer buys, which statement is a possible interpretation of the results?

Which expression shows the sum of the polynomials with like terms grouped together?

Which is the standard form of the equation of the parabola that has a vertex of (–4, –3) and a directrix of x = 2?

A cable company wants to provide cell phone service for residents on an island. The function for the cost of laying the cable from the island to the mainland is , where x represents the length of the cable in meters. What are the domain and range of the function?

A student factors 15c2 + c – 28 to the following. (c + 2)(15c – 14) Which statement about (c + 2)(15c – 14) is true?

If (x + k) is a factor of f(x), which of the following must be true?

Which graph shows the solution to the inequality ?

Which expression is equivalent to ?

A local car wash is inviting customers to join the Concierge Club, in which you can have your car washed as many times as you wish for a fixed monthly fee. Amy creates the graph below to compare the cost per wash versus the cost for the Concierge Club. Which conclusion is supported by the graph?

A company plans to sell embroidered hats for $15 each. The company’s financial planner estimates that the cost, y, of manufacturing the hats is a quadratic function with a y-intercept of 7,920 and a vertex of (150, 9,000). What is the minimum number of hats the company must sell to make a profit?

Which of the following is the graph of f(x) = 3|x – 4| + 1?

What is the sum of 12 – 5i and –3 + 4i?

Rene is designing a satellite that is the shape of a parabola that opens upward with a diameter of 8 in. and a depth of 2 in. The feed antenna focuses the incoming radio waves. At what point should the feed antenna be placed?

Which expression is equivalent to ?

Samuel wants to buy at least twice as many graphic novels as comic books. Comic books sell for $7 each, and graphic novels sell for $12 each. Samuel can spend a maximum of $50. Let c represent the number of comic books, and let g represent the number of graphic novels. Which system of inequalities can be used to find the number of comic books and graphic novels Samuel can buy?

Which expression is equivalent to (4 + 6i)2?

Which equation is y = –6x2 + 3x + 2 rewritten in vertex form?

Galena is solving the following system.Step 1: She multiplies equation (3) by 3 and adds it to equation (1). Step 2: She multiplies equation (3) by –7 and adds it to equation (2). Which statement explains Galena’s mistake?

What values are excluded from the domain and range of the function ?