USA #3 Mock Test Review

SY 2024-2025

​

​USA #3 Review!

Multiple Choice

1.) Which expression is equivalent to:

$$8x^2+14x-15$$

• (3x + 2)(5x - 4)

• (3x - 2)(5x + 4)

• (4x + 3)(2x - 5)

• (4x - 3)(2x + 5)

Multiple Choice

2.) The equation for a quadratic function in vertex form can be represented by $$y=a\left(x-h\right)^2+k$$

Which of the following equations isolates the variable 𝒙?

Multiple Choice

3.) The table of values shows a quadratic function.

Hotspot

4.) For each box, select the letter before the correct value to complete the sentence.

The exact solutions to the equation $$4x^2+5x-6=0$$ are...

Multiple Choice

5.) A ball is thrown from the top of a building from a height of 𝟏𝟐𝟎 feet above the ground. The height of the ball, 𝑯, in feet from the ground, and time, t, in seconds, can be modeled by the equation:

𝑯 = −𝟏𝟓(𝒙 + 𝟐)(𝒙 − 𝟒).

Select the true statement.

• The ball reaches the ground in 2 seconds.

• The ball reaches the ground in 4 seconds.

• The ball reaches the ground in 8 seconds.

• The ball reaches the ground in 15 seconds.

Fill in the Blanks

6.) A person jumps off a trampoline into a foam cube pit. The function $h\left(t\right)=-6t^2+9t+3$

shows the height of the person above the foam cube pit, in meters, 𝒕 seconds after the diver leaves the springboard. What time, in seconds, did the diver start his descent?

Hotspot

9.) Use the given graph to complete the statement about the function.

Multiple Choice

11.) Determine the function, in the form $$y=ab^x$$ , represented by the exponential function in the graph.

Multiple Choice

12.) Determine the range of an exponential decay function in the form of y=ab^x that has an initial value of 𝟏𝟎 and a decay of 𝟕%.

• all real numbers

• x < 0

• y > 0

• y < 0

Multiple Choice

13.) The graph of a function is shown. What is the equation of the function?

• . 𝑦 = 3(𝑥 − 1)(𝑥 + 5)

• 𝑦 = 3(𝑥 + 1)(𝑥 − 5)

• 𝑦 = (𝑥 − 1)(𝑥 + 5)

• 𝑦 = (𝑥 + 1)(𝑥 − 5)

Multiple Choice

For numbers 14 and 15, a quadratic function with a positive leading coefficient has a vertex at (4, −1) and has zeros at (3, 0) and (5, 0).

14.) Which of the following could represent the quadratic function as a graph?

Hotspot

15.) Complete the sentences about the function. For each box, select the letter before the correct values of x.