PSAT Math Multiple-Choice Practice Test 39: Passport to Advanced Math: Quadratics

1. Which of the following equations has the same solutions as x² + 6x +17 = y?

2. Which of the following are roots for x² + 10x - 8 = 0?

A.

B.

C.

D.

3. Which of the following is equivalent to x² + 4x + 16 = 0?

A.

B.

C.

D.

4. What value of x satisfies the equation ?

A.

B.

D.

5. Which of the quadratic functions shown has no zeros?

A.

B.

C.

D.

6. Which of the following are the real values of x that satisfy the equation ?

B.

7. Which of the following are the roots of the equation x² + 8x - 3 = 0?

A.

B.

C.

D.

8. Which quadratic equation has two real solutions?

A.

B.

C.

D.

9.

What are the roots of the above equation?

A.

B.

C.

D.

10.

The following quadratic equations are all representations of the graph shown. Which equation enables the easiest calculation of the x-intercepts of the graph?

A.

B.

C.

D.

11.

Which of the following represents the function shown in the graph?

A.

B.

C.

D.

12.

If the distance from -a to b in the figure shown is 10, which of the following could be the factored form of the graph's equation?

13.

If y = ax² + bx + c represents the equation of the graph shown in the figure, which of the following statements is NOT true?

14. If a catapult is used to throw a lead ball from ground level, the path of the ball can be modeled by a quadratic equation, y = ax² + bx + c, where x is the horizontal distance that the ball travels and y is the height of the ball. If one of these catapult-launched lead balls travels 150 feet before hitting the ground and reaches a maximum height of 45 feet, which of the following equations represents its path?