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

**1.** Which of the following equations has the same solutions as *x*^{2} + 6*x* +17 = *y*?

*y*= (

*x*- 3)

^{2}- 26

*y*= (

*x*- 3)

^{2}+ 8

*y*= (

*x*+ 3)

^{2}+ 8

*y*= (

*x*+ 3)

^{2}+ 17

**2.** Which of the following are roots for *x*^{2} + 10*x* - 8 = 0?

**3.** Which of the following is equivalent to *x*^{2} + 4*x* + 16 = 0?

**4.** What value of *x* satisfies the equation ?

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

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

**7.** Which of the following are the roots of the equation *x*^{2} + 8*x* - 3 = 0?

**8.** Which quadratic equation has two real solutions?

**9.**

What are the roots of the above equation?

**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?

**11.**

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

**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?

*y*= (

*x*- 7)(

*x*- 3)

*y*= (

*x*- 7)(

*x*+ 3)

*y*= (

*x*- 8)(

*x*- 2)

*y*= (

*x*- 1)(

*x*+ 10)

**13.**

If *y* = *ax*^{2} + *bx* + *c* represents the equation of the graph shown in the figure, which of the following statements is NOT true?

*a*is a negative number.

*c*is a negative number.

*y*-value is increasing for

*x*< 3 and decreasing for

*x*> 3.

*x*= -2 and

*x*= 8.

**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* = *ax*^{2} + *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?

*y*= -0.008

*x*

^{2}+ 1.2

*x*

*y*= -0.008

*x*

^{2}- 150

*x*

*y*= 45

*x*

^{2}+ 150

*x*

*y*= 125

*x*

^{2}+ 25

*x*

### Test Information

- 14 questions
- 20 minutes
- See All test questions

### More Tests

- PSAT Math Multiple-Choice Test 1
- PSAT Math Multiple-Choice Test 2
- PSAT Math Multiple-Choice Test 3
- PSAT Math Multiple-Choice Test 4
- PSAT Math Multiple-Choice Test 5
- PSAT Math Multiple-Choice Test 6
- PSAT Math Multiple-Choice Test 7
- PSAT Math Multiple-Choice Test 8
- PSAT Math Multiple-Choice Test 9
- PSAT Math Multiple-Choice Test 10
- PSAT Math Multiple-Choice Test 11
- PSAT Math Multiple-Choice Test 12
- PSAT Math Multiple-Choice Test 13
- PSAT Math Multiple-Choice Test 14
- PSAT Math Multiple-Choice Test 15
- PSAT Math Multiple-Choice Test 16
- PSAT Math Multiple-Choice Test 17
- PSAT Math Multiple-Choice Test 18
- PSAT Math Multiple-Choice Test 19
- PSAT Math Multiple-Choice Test 20
- PSAT Math Multiple-Choice Test 21
- PSAT Math Multiple-Choice Test 22
- PSAT Math Multiple-Choice Test 23
- PSAT Math Multiple-Choice Test 24
- PSAT Math Multiple-Choice Test 25