Modeling with Systems — Cumulative exam Answers

What is the point of intersection when the system of equations below is graphed on the coordinate plane?

Which is the graph of reflected across the x-axis, translated 3 units left, 4 units up, and dilated by a factor of 4?

For which value of m does the graph of y = 18x2 + mx + 2 have exactly one x-intercept?

Which graph shows the solution to the inequality ?

What is the quotient of (2x4 – 3x3 – 3x2 + 7x – 3) ÷ (x2 – 2x + 1)?

Which statement about 4x2 + 19x – 5 is true?

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?

What is the solution, if any, to the inequality ?

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

Using the quadratic formula to solve 11x2 – 4x = 1, what are the values of x?

If 5 + 6i is a root of the polynomial function f(x), which of the following must also be a root of f(x)?

If (x – 5) is a factor of f(x), which of the following must be true?

Solve for in the equation .

A row operation is performed on a matrix as shown below.What is the value of x?

Organizers of the town fair make a total of $706 from selling 164 hot dogs and 74 hamburgers at one of their concession stands. At their other concession stand, they make $884 by selling 256 hot dogs and 61 hamburgers. If the prices are the same at both concession stands, what is the price of a hot dog?

A total of 165 people attended the opening night of a school play. Adults were charged $6, and children were charged $2. The total amount of money collected was $618. Which augmented matrix represents the situation?

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 ?

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

Sharon is jumping from an 18-foot diving board with an initial upward velocity of 4 ft/s. When Sharon jumps, Megan throws a beach ball up to Sharon with an initial upward velocity of 16 ft/s from a height 5 feet off the ground. To the nearest hundredth of a second, how long after she jumps does the ball reach Sharon?