PSAT Math Multiple-Choice Practice Test 38: Passport to Advanced Math: Quadratics

1. If x² + 8x = 48 and x > 0, what is the value of x - 5?

2. What is the absolute value of the difference between the roots of 4x² - 36 = 0?

3. Which of the following is equivalent to x² - 6x + 10 = 0?

4. y² = 2x² - 8x + c

The quadratic above has only one distinct, real root. What is the value of c ?

5.

Which of the following equations could represent the above graph?

6. Which of the following is an equivalent form of the expression (x - 4)(x + 2)?

A.

B.

C.

D.

7. What positive value(s) of z satisfy the equation ?

8. Which of the following is equivalent to ?

A.

B.

C.

D.

9. If a quadratic function f(x) has solutions a and b such that a < 0, b > 0, and | b | > | a |, which of the following could be equal to f(x)?

A.

B.

C.

D.

10. For all a and b, what is the product of (a - b)² and (a + b)?

11. Which equation does NOT have a solution at x = -4?

A.

B.

C.

D.

12. A rectangle has an area of If the width of the rectangle is , what is the length?

A.

B.

C.

D.

13. A rectangular prism has a height of x, a width of 7 less than the height, and a length 14 more than the width. What is the volume of the prism?

A.

B.

C.

D.

14.

Which of the following expressions is equivalent to the expression above?

A.

B.

C.

D.