SBAC High School Math 2 Practice Test

Question 1

The polynomial, x^3+7x^2-20x-96, has a factor of (x+8). Which of the following represents two of the zeros of the polynomial?

Accepted Answer

x=-3 and x=4

Answer

If (x+8) is a factor of the polynomial, then x=-8 is one of its zeros. To find the other zeros, we can use synthetic division to divide the polynomial x^3+7x^2-20x-96 by (x+8). This division results in the quadratic expression x^2-x-12. Factoring this quadratic equation, we get (x-4)(x+3). Setting these factors to zero gives the remaining zeros: x=4 and x=-3.

Question 2

The possible combinations of candy bars and packages of suckers that Amanda may purchase are represented by the graph shown below.

Which of the following inequalities represents the possible combinations of candy bars and packages of suckers that she may purchase?

Accepted Answer

0.75x+1.25y≤25

Answer

To find the correct inequality, we can identify the intercepts from the graph. The line crosses the x-axis (where y=0) at approximately x=33.33, and the y-axis (where x=0) at y=20. We can test these points with the given inequalities. For option C, 0.75x+1.25y≤25, if y=0, 0.75x≤25 means x≤25/0.75, which is x≤33.33. If x=0, 1.25y≤25 means y≤25/1.25, which is y≤20. Since the shaded region is below the line, indicating 'less than or equal to', this inequality correctly represents the graph.

Question 3

Ana solves the quadratic equation, x^2-6x=18, by completing the square. Which of the following equations may be used to find the solution, using this method?

Accepted Answer

〖(x-3)〗^2=27

Answer

To solve the quadratic equation x^2-6x=18 by completing the square, we need to add a constant to both sides that makes the left side a perfect square trinomial. The constant needed is (b/2)^2, where b is the coefficient of the x term. In this equation, b=-6, so (b/2)^2 = (-6/2)^2 = (-3)^2 = 9. Adding 9 to both sides gives x^2-6x+9 = 18+9, which simplifies to (x-3)^2 = 27.

SBAC Practice Test

SBAC Practice Test

SBAC High School Math 2 Practice Test