2023 Practice 1-14

What is the result of multiplying (3n³) by (7n⁵)?

• 21n⁸

• 10n¹⁵

• 21n¹⁵

• 10n⁸

The function p(x) = 3x + 2 was transformed to form q(x) = p(x) + 15. Which statement is true about the graphs of p and q?

• The graphs of p and q are not parallel, and the graph of p is translated 15 units up to create the graph of q.

• The graphs of p and q are not parallel, and the graph of p is translated 15 units down to create the graph of q.

• The graphs of p and q are parallel, and the graph of p is translated 15 units up to create the graph of q.

• The graphs of p and q are parallel, and the graph of p is translated 15 units down to create the graph of q.

A graph of a quadratic function is shown. What are the x-intercepts of the function? Shade the TWO correct circles that represent the points.

A teacher has a total of 12 markers, consisting of x thin markers and y thick markers. The quantity of thin markers is three times the quantity of thick markers.

Which system of equations represents the relationship between the thin markers and thick markers?

• A) x + y = 12

  x = 3y

• B) x - y = 12

  x = 3y

• C) x + y = 12

  y = 3x

• D) x - y = 12

  y = 3x

Which graph depicts the function g(x) = 3(3/2)^x?

• Graph A

• Graph B

• Graph C

• Graph D

For quadratic function f, the solutions to the equation f(x) = 0 are x = 7/5 and x = -2/3. Which function could represent f?

• f(x) = 14x² + 11x - 15

• f(x) = 15x² - 11x - 14

• f(x) = 14x² - 11x - 15

• f(x) = 15x² + 11x - 14

A shop owner decides to lower the price of a product every week it remains unsold. The selling price of the product, in dollars, after y weeks can be modeled by the exponential function g(y) = 200(0.85)^y.

Select ONE correct answer in each box to complete each sentence.

The initial price of the product before the shop owner made any adjustments was (a)   . The price of the product (b)   at a rate of (c)   each week.

• $200

• $180

• increases

• decreases

• 15%

• 85%

• 115%

• $215

Which expression is equivalent to √75?

• 5√3

• 15√5

• 3√5

• 5√15

A fish tank is being drained at a constant rate. The graph shows the linear relationship between the volume of water in the fish tank in liters and the time in minutes the tank has been draining.

Which value best represents the rate of change of the volume of water in the fish tank with respect to time?

• 6 L/min

• -6 L/min

• 1/6 L/min

• -1/6 L/min

What is the solution set for 8 + 3v < 4(v + 5)?

• v < -12

• v < 7

• v > 7

• v >-12