Quiz about SAT-OG-M-6

Question 1

Question 1.

Accepted Answer

Question 2

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?

Accepted Answer

A) From x = 0 to x = 2

Answer

B) From x = 0 to x = 4

Answer

C) From x = 2 to x = 3

Answer

D) From x = 3 to x = 4

Question 3

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?

Accepted Answer

B) The estimated number of marine mammals in

the area was 1,800 when the study began.

Answer

A) The estimated number of marine mammals in

the area was 102 when the study began.

Answer

C) The estimated number of marine mammals in

the area increased by 102 each year during the

study.

Answer

D) The estimated number of marine mammals in

the area increased by 1,800 each year during the

study.

Question 4

y > 4x + 8

For which of the following tables are all the values of

x and their corresponding values of y solutions to the

given inequality?

Accepted Answer

Question 5

The relationship between two variables, x and y, is

linear. For every increase in the value of x by 1, the

value of y increases by 8. When the value of x is 2,

the value of y is 18. Which equation represents this

relationship?

Accepted Answer

C) y = 8x + 2

Answer

A) y = 2x + 18

Answer

B) y = 2 x+ 8

Answer

D) y = 3 x+ 26

Question 6

Which of the following could be the median number

of employees for the restaurants in this town?

Accepted Answer

D) 21

Answer

A) 2

Answer

B) 9

Answer

C) 15

Question 7

In 2008, Zinah earned 14% more than in 2007, and in

2009 Zinah earned 4% more than in 2008. If Zinah

earned y times as much in 2009 as in 2007, what is

the value of y ?

Accepted Answer

D) 1.1856

Answer

A) 0.5600

Answer

B) 1.0056

Answer

C) 1.1800

Question 8

Circle A (shown) is defined by the equation

( x + 2) ²+ y²= 9. Circle B (not shown) is the result

of shifting circle A down 6 units and increasing the

radius so that the radius of circle B is 2 times the

radius of circle A. Which equation defines circle B ?

Accepted Answer

A) ( x + 2)² + ( y + 6)² = (4)(9)

Answer

B) 2( x + 2)² + 2( y + 6)² = 9

Answer

C) ( x + 2)² + ( y - 6)² = (4)(9)

Answer

D) 2( x + 2)² + 2( y - 6)² = 9

Question 9

The table shows three values of x and their

corresponding values of g (x) , where g (x)= f( x )/x+3

and f is a linear function. What is the y-intercept of

the graph of y = f( x ) in the xy-plane?

Accepted Answer

A) ( 0 , 36 )

Answer

B) ( 0 ,12 )

Answer

C) ( 0, 4 )

Answer

D) ( 0 , -9 )

Question 10

The function f is defined by f( x) = 8x . For what

value of x does f ( x ) = 72 ?

Accepted Answer

B) 9

Answer

A) 8

Answer

C) 64

Answer

D) 80

Question 11

On a street with 7 houses, 2 houses are blue. If a

house from this street is selected at random, what is

the probability of selecting a house that is blue?

Accepted Answer

B)2/7

Answer

A)1/7

Answer

C)5/7

Answer

D)7/7

Question 12

Which of the following describes function f ?

Accepted Answer

A) Increasing linear

Answer

B) Decreasing linear

Answer

C) Increasing exponential

Answer

D) Decreasing exponential

Question 13

The ratio of the length of line segment XY to the

length of line segment ZV is 6 to 1. If the length of

line segment XY is 102 inches, what is the length, in

inches, of line segment ZV ?

Accepted Answer

A) 17

Answer

B) 96

Answer

C) 102

Answer

D) 612

Question 14

The function f defined by f ( t) = 14t + 9 gives the

estimated length, in inches, of a vine plant t months

after Tavon purchased it. Which of the following is

the best interpretation of 9 in this context?

Accepted Answer

D) The estimated length of the vine plant was

9 inches when Tavon purchased it.

Answer

A) Tavon will keep the vine plant for 9 months.

Answer

B) The vine plant is expected to grow 9 inches

each month.

Answer

C) The vine plant is expected to grow to a

maximum length of 9 inches.

Question 15

4, 10, 18, 4, 4, 5, 6, 5

What is the median of the data set shown?

Accepted Answer

B) 5

Answer

A) 4

Answer

C) 7

Answer

D) 14

Question 16

A right circular cylinder has a volume of 432 cubic

centimeters. The area of the base of the cylinder is

24 square centimeters. What is the height, in

centimeters, of the cylinder?

Accepted Answer

A) 18

Answer

B) 24

Answer

C) 216

Answer

D) 10,368

Question 17

f x( ) = (1.84)^x/4

The function f is defined by the given equation. The

equation can be rewritten as f(x)= (1 + p/100)^x

where p is a constant. Which of the following is

closest to the value of p ?

Accepted Answer

A) 16

Answer

B) 21

Answer

C) 46

Answer

D) 96

Question 18

The scatterplot shows the relationship between

two variables, x and y, for data set E. A line of best fit

is shown. Data set F is created by multiplying the

y-coordinate of each data point from data set E by

3.9. Which of the following could be an equation of a

line of best fit for data set F?

Accepted Answer

A) y = 46.8 + 5.9x

Answer

B) y = 46.8 + 1.5x

Answer

C) y = 12 + 5.9x

Answer

D) y = 12 + 1.5x

SAT-OG-M-6

53 questions

( p + 3 ) + 8 = 10
What value of p is the solution to the given
equation?

k ² − 53 = 91
What is the positive solution to the given equation?

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?

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?

How many yards are equivalent to 1,116 inches?
(1 yard = 36 inches)

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?

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 ?

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 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?

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SAT-OG-M-6

53 questions

( p + 3 ) + 8 = 10What value of p is the solution to the givenequation?

k 2 − 53 = 91What is the positive solution to the given equation?

During a portion of a flight, a small airplane’scruising speed varied between 150 miles per hourand 170 miles per hour. Which inequality bestrepresents this situation, where s is the cruisingspeed, in miles per hour, during this portion of theflight?

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 waslaunched. For which of the following intervals oftime was the height of the object increasing for theentire interval?

How many yards are equivalent to 1,116 inches?(1 yard = 36 inches)

f ( x ) = 14 + 4The function f represents the total cost, in dollars, ofattending an arcade when x games are played. Howmany games can be played for a total cost of $58?

f( x ) = x + bFor the linear function f, b is a constant.When x = 0, f ( x ) = 30 . What is the value of b ?

P ( t ) = 1,800 (1.02) tThe function P gives the estimated number ofmarine mammals in a certain area, where t is thenumber of years since a study began. What is the bestinterpretation of P(0) = 1,800 in this context?

A manager is responsible for ordering supplies for ashaved ice shop. The shop’s inventory starts with4,500 paper cups, and the manager estimates that 70of these paper cups are used each day. Based on thisestimate, in how many days will the supply of papercups reach 1,700?