# PSAT Math Multiple-Choice Practice Test 6: Advanced Math

**1.** Which of the following equivalent forms of the equation *x*^{2} + 8*x* + 15 = 0 would be the most useful for finding the *x*-intercepts of the equation?

*x*(

*x*) + 8(

*x*) + 15 = 0

*x*

^{2}+ 3

*x*+ 5

*x*+ 15 = 0

*x*+ 3)(

*x*+ 5) = 0

*x*

^{2}+ 8

*x*+ 4 + 11 = 0

**2.** Monster Truck Inc. leases a new truck for a down payment of $3,200 plus monthly payments of $380 per month for 36 months. Which of the following functions, *f*, represents the total amount paid, in dollars, after *m* months, where 0 ≤ *m* ≤ 36?

*f*(

*m*) = 380 + 3,200

*m*

*f*(

*m*) = 3,200 + 36

*m*

*f*(

*m*) = 3,200 + 380

*m*

*f*(

*m*) = 10,480 - 380

*m*

**3.** The number of bonus points, *B*(*p*), that a credit card holder receives is given by the function *B*(*p*) = *ap* + 7, where *p* represents the number of purchases made and *a* is a constant. If the number of purchases is increased by 4, the number of bonus points increases by 25. What is the value of *a*?

**4.** If *f*(*x*) = , what is the value of ?

**5.** The temperature, *T*, in degrees Celsius on a winter day can be written as a function of *x,* the time in hours since midnight (12:00 A.M.), as shown below.

If 100 = *x*^{2} - 24*x* + 144 is an equivalent form of the equation when *T*(*x*) = 0, which of the following gives a time on that day when the temperature was 0°C?

**6.**

The table above shows selected values for the linear function *f*(*x*). What is the value of *j*?

**7.** In his physics class, Yigit determined that the height in feet (*h*) of a projectile *t* seconds after being launched can be expressed using the function *h*(*t*) = -5*t*^{2} + 20*t* + 45. Which of the following values of *t* would be most helpful in finding the initial height of the projectile?

*t*= 0

*t*= 1

*t*= 2

*t*= 3

**8.** If 12 - (*t* + 2)^{2} = 3, which of the following could be the value of *t*?

**9.**

Which of the following equations is shown in the graph above?

*y*= -(

*x*- 3)(

*x*+ 1)

*y*= -(

*x*+ 3)(

*x*- 1)

*y*= -(

*x*+ 3)(

*x*+ 4)

*y*= -(

*x*- 1)(

*x*+ 4)

**10.** Aubri determines that her score in a particular video game can be calculated using the formula *x*^{4} - *y*^{4}, where *x* represents the number of treasures she discovers, and *y* represents the number of hidden traps she falls into. Which of the following expressions would be a suitable equivalent for Aubri's score calculation formula?

*x*+

*y*) (

*x*-

*y*) (

*x*

^{2}+

*y*

^{2})

*x*+

*y*)

^{2}(

*x*

^{2}+

*y*

^{2})

*x*-

*y*)

^{2}(

*x*

^{2}+

*y*

^{2})

*x*+

*y*)(

*x*-

*y*)(

*x*

^{2}-

*y*

^{2})

### Test Information

- 10 questions
- 15 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