PSAT Practice Test 4 (no calculator)

Andrew is hosting a party and books a catering company that charges $14.95 per person plus a $40 cleanup fee. He has a coupon for a 15% discount off the entire cost of the booking. Which of the following models Andrew's total cost, in dollars, of catering his party for p people?

• 0.85(14.95p) + 40

• 0.85(14.95p + 40)

• 0.15(14.95 + 40)p

• 0.15p(14.95 + 40)

Bora is a summer volunteer at the public library. At 9:30 a.m., the head librarian asks Bora to scan and reshelve a stack of returned library books. Bora can scan 20 books in one minute, and it takes him at least 1.5 minutes to reshelve each book. Which inequality below models the number of books, b, that Bora can scan and reshelve before his 12:00 p.m. lunch break?

• $1.55b≥270$
  

• $20b+1.5b≤270$

• $\frac{31b}{20}\ge150$

• $\frac{b}{20}+\frac{3b}{2}\le150$

If the value of twice a number, k, plus 7 is between 3 and 23, then which of the following must also be true of k?

• $\left|k-4\right|<4$

• $\left|k-3\right|<5$

• $\left|k-5\right|<3$

• $\left|k-6\right|<2$

 $\frac{x}{2}+\frac{y}{4}+3=5$  

From the equation above, which of the following is the value of 2x + y?

• 2

• 8

• 20

• 32

Which expression below is equivalent to the difference of the sum and product of (3m + 1) and (m – 5)?

• $-3m^2+10m+1$

• $3m^2-10m-9$

• $3m^2-18m-9$

• $-3m^2+18m+1$

Tags

CCSS.6.EE.A.3

Lines l, k, and m above divide the xy-plane into seven regions as shown. Which regions should be shaded to show the solution to this system of inequalities?

 $y\ge\frac{1}{4}x-3$  
 $y\le-\frac{1}{2}x+1$  

• II and III

• I and V

• VI and VII

• I and VI

Tags

CCSS.HSA.REI.D.12

If 3(2x – 5) = 4(6 – x), then what is  $\frac{3}{4}$  in terms of x?

•  $\frac{2x-5}{6-x}$  

•  $\frac{6-x}{2x-5}$  

•  $\frac{5-2x}{x-6}$  

•  $\frac{x-6}{5-2x}$  

 $2^{3k}=1,073,741,824$  

Which of the following is the value of k?

• 8

• 9

• 10

• 11

Tags

CCSS.HSF.LE.A.4

The rational expression $\frac{3x^3y^{-2}z^a}{x^2y^{-4}z^2}$  simplifies to a monomial degree of 2. What is the value of a?

 $S\left(t\right)=-16t^2+128t$  

In the function above, S is the altitude in feet of a model rocket t seconds after launch. How many seconds, to the nearest second, does it take for the rocket to reach its maximum height?