Mathematics Quiz

Which function has roots at x = 0, x = -3, and x = 4?

• f(x) = x³ - x² - 12x

• f(x) = x³ + x² - 12x

• f(x) = x³ - 7x² + 12x

• f(x) = x³ + 7x² + 12x

A system of equations is shown.

x - 2y + 3z = -3

2x - 3y - z = 7

3x + y - 2z = 6

What is the solution to this system of equations?

• (-2, -1, 1)

• (-2, 1, -1)

• (1, -1, -2)

• (1, -2, -1)

A parabola is used to model the path of a basketball as shown in the diagram. Which equation represents the path of the basketball?

• y = -1/8(x - 12)^2 + 18

• y = -1/8(x + 12)^2 + 18

• y = -1/3(x - 18)^2 + 12

• y = -1/3(x + 18)^2 + 12

If the quadratic function f(x) = -3x^2 + 12x - 5 $ is changed to the form f(x) = a(x-h)^2 + k , what is the value of h?

The graph of a system of equations is shown. Which system of equations is represented by this graph?

• y = (3/2)x + 1, y = (1/8)(x - 5)^2 - 7

• y = (3/2)x + 1, y = (1/8)(x + 5)^2 - 7

• y = (2/3)x + 1, y = (1/8)(x - 5)^2 - 7

• y = (2/3)x + 1, y = (1/8)(x + 5)^2 - 7

Horatio has 57 coins consisting of nickels, dimes, and quarters. He has twice as many dimes as nickels. If the coins are worth a total of $7.25, which system of equations is used to determine how many of each coin Horatio has?

• n + d + q = 57 n = 2d 0.05n + 0.10d + 0.25q = 7.25

• n + d + q = 57 n = 2d 5n + 10d + 25q = 7.25

• n + d + q = 57 d = 2n 0.05n + 0.10d + 0.25q = 7.25

• n + d + q = 57 d = 2n 5n + 10d + 25q = 7.25

A system of equations is shown.

3x + y - 2z = -8

x - y - 4z = -12

2x - 2y + z = 12

What is the y-value of the solution to this system? Enter the answer in the box provided.

At the Longhorn Video Game Design company, the average starting salary for a new designer is $42,500. The actual salary could differ by $3,200. Which absolute value equation is used to determine the highest and the lowest salary for a new designer at Longhorn Video Game Design?

• |x - 3,200| = 42,500

• |x + 3,200| = 42,500

• |x - 42,500| = 3,200

• |x + 42,500| = 3,200

What values of x make the inequality 6x + 7 ≤ -2x² + 63 true?

• -7 ≤ x ≤ 4

• -4 ≤ x ≤ 7

• x ≤ -7 or x ≥ 4

• x ≤ -4 or x ≥ 7

Which system of inequalities is represented by the following options?

• 3x + y < -7 2x - 3y ≤ -9 x > -5

• 3x + y ≤ -7 2x - 3y > -9 x ≥ -5

• 3x + y ≤ -7 2x - 3y < -9 x ≥ -5

• 3x - y < -7 2x - 3y < -9 x > -5