Module I: Math

Bộ đề mô phỏng SAT — Chuẩn Bluebook tháng 11/2025

A circle in the

x y

-plane has its center at (8, 6) and has a radius of length 9. Which equation represents this circle?

Mark for Review

{(x + 8)}^{2} + {(y + 6)}^{2} = 9

{(x - 8)}^{2} + {(y - 6)}^{2} = 9

{(x + 8)}^{2} + {(y + 6)}^{2} = 81

{(x - 8)}^{2} + {(y - 6)}^{2} = 81

Square A has side lengths that are 82 times the side lengths of square B. The area of square A is

k

times the area of square B. What is the value of

k

Mark for Review

A 41

B 82

C 164

D 6,724

A beekeeper's initial observation of the population of a certain bee colony was 1,400 bees. The beekeeper set a goal to increase the population to 2,650 bees. The beekeeper uses a model that predicts the population of this bee colony begins at 1,400 and increases by 100 bees per week in the first two weeks after the initial observation, and then increases by 150 bees per week until the beekeeper's goal is reached. According to this model, at the end of week

w

after the initial observation, where

w > 2

, which of the following functions gives the predicted number of bees still needed to reach the beekeeper's goal?

Mark for Review

p (w) = 2,650 - 150 w

p (w) = 2,550 + 150 w

p (w) = 1,350 - 150 w

p (w) = - 100 + 150 w

$r (x) = 11 (x - 3)$
$s (x) = x^{3} + n x^{2} + 3 n x + 27$
For the given functions $r$ and $s$ , $n$ is a constant. If $r (x) ∙ s (x) = 11 (x^{4} - 81)$ , what is the value of $n$ ?

Mark for Review

Preview:

The function

g

is defined by

g (x) = 4 x + 2

. What is the value of

g (x)

when

x = 2

Mark for Review

A 0

B 2

C 4

D 10

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