# PSAT 8/9 Math Multiple-Choice Practice Test 1

**1.** Which of the following values is 6 less than 5 times itself?

**2.** David is trying to take up to 31 unique photos, one for each day in January. He has already taken 4 nature photos and 7 architectural photos. Which of the following inequalities represents all possible values of *p* if *p* represents the remaining number of photos David could take over the month of January?

*p*

*p*– 11

*p*

*p*– 11

**3.** If 8(2 – *x*) = 10 – 5(*x* + 3), what is the value of *x*?

**4.** What value of *c* is a solution to the equation –3*c* – 2 + 9 = *c* – 2 – 3*c*?

**5.** 2*a* – *b* = 11

4*a* – *b* = 7

What is the value of *a* if the solution to the system of equations above is (*a*, *b*)?

**6.** –(*x*^{2} – 2) + *x*^{4} + (2*x*^{2} – 8)

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

*x*

^{4}+

*x*

^{2}– 6

*x*

^{4}+

*x*

^{2}– 10

*x*

^{4}–

*x*

^{2}– 10

*x*

^{8}– 6

**7.** Bill can purchase eight hockey pucks and two water bottles for $22 or twelve hockey pucks and ten water bottles for $54. For his team’s hockey practice, Bill needs sixteen water bottles. How much will it cost for Bill to purchase the sixteen water bottles given the above costs?

**8.** *y = x*^{2} + 8*x* + 23

What is the value of the *y*-intercept for the above equation when graphed in the *xy*-plane?

**9.**

A system of equations is graphed in the *xy*-plane above. How many solutions does the system have?

**10.**

Line *a* is shown in the *xy*-plane above. Assuming line *b* lies parallel to line *a*, which of the following equations could represent line *b*?

*y*= –

*x*– 2

*y*= –

*x*+ 4

*y*= –

*x*+ 3

*y*= –

*x*– 6

### Test Information

- 10 questions
- 15 minutes
- See All test questions

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