SAT-OG-M-6

( p + 3 ) + 8 = 10

What value of p is the solution to the given

equation?

• A) −1

• B) 5

• C) 15

• D) 21

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• 
• 
• 

k ² − 53 = 91

What is the positive solution to the given equation?

• A) 144

• B) 72

• C) 38

• D) 12

During a portion of a flight, a small airplane’s

cruising speed varied between 150 miles per hour

and 170 miles per hour. Which inequality best

represents this situation, where s is the cruising

speed, in miles per hour, during this portion of the

flight?

• A) s ≤ 20

• B) s ≤ 150

• C) s ≤ 170

• D) 150 ≤ ≤ 170

An object was launched upward from a platform.

The graph shown models the height above ground, y,

in meters, of the object x seconds after it was

launched. For which of the following intervals of

time was the height of the object increasing for the

entire interval?

• A) From x = 0 to x = 2

• B) From x = 0 to x = 4

• C) From x = 2 to x = 3

• D) From x = 3 to x = 4

How many yards are equivalent to 1,116 inches?

(1 yard = 36 inches)

(a)  

f ( x ) = 14 + 4

The function f represents the total cost, in dollars, of

attending an arcade when x games are played. How

many games can be played for a total cost of $58?

(a)  

f( x ) = x + b

For the linear function f, b is a constant.

When x = 0, f ( x ) = 30 . What is the value of b ?

• A) −30

• B) −1/30

• B) 1/30

• D) 30

P ( t ) = 1,800 (1.02) ^t

The function P gives the estimated number of

marine mammals in a certain area, where t is the

number of years since a study began. What is the best

interpretation of P(0) = 1,800 in this context?

• A) The estimated number of marine mammals in

  the area was 102 when the study began.

• B) The estimated number of marine mammals in

  the area was 1,800 when the study began.

• C) The estimated number of marine mammals in

  the area increased by 102 each year during the

  study.

• D) The estimated number of marine mammals in

  the area increased by 1,800 each year during the

  study.

A manager is responsible for ordering supplies for a

shaved ice shop. The shop’s inventory starts with

4,500 paper cups, and the manager estimates that 70

of these paper cups are used each day. Based on this

estimate, in how many days will the supply of paper

cups reach 1,700?

• A) 20

• B) 40

• C) 60

• D) 80