Module I: Math

Đề Thi SAT 2 - Phòng Thi SAT ONLINE

81,82,83,86,87,89,93,97,103

What is the median of the data shown?

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5x + 10 = 15

Which equation has the same solution as the given equation?

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5x = 5

5x= 1

5x = 25

5x = 150

In triangle ABC above, side is extended to point D.

What is the value of x?

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135

A line in the xy-plane has a slope of -3 and passes through the point (0;7)

Which equation represents this line?

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y = -3x – 7

y= -3x + 7

y= 3x – 7

y= 3x+7

2+2x)(−x)

Which of the following is equivalent to the expression above?

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3+x

2−2−2

2−2

2−2x

4c+3d=64

The given equation describes the relationship between the number of cats, c, and the number of dogs, d, that can be accommodated in a pet shelter on a given day. If the shelter accommodates 8 dogs on a given day, how many cats can it accommodate on this day?

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For a positive real number x, where =2, what is the value of ?

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An airplane descends from an altitude of 7,500 feetto 4,000 feetat a constant rate of 400 feet per minute. What type of function best models the relationship between the descending airplane's altitude and time?

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Increasing linear

Decreasing linear

Increasing exponential

Decreasing exponential

The given equation 7a+6b=c relates the numbers a, b, and c. Which equation correctly expresses b in terms of a and c?

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b =

b = – 7a

b = 6c – 7a

If the base of a cylinder has a diameter of 4 inches and the cylinder's height is 9 inches, what is the volume of this cylinder, in cubic inches?

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9π

36π

144π

162π

In the xy-plane, the graph of the linear function f contains the points (0,4) and (5,19). Which equation defines f, where y=f(x)?

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f(x)=2x+40

f(x)=15x+30

f(x)=3x+4

f(x)=5x+4

The function n(t)=50,000(2) gives the number of yeast cells in a lab sample t minutes after an initial observation. How much time, in minutes, does it take for the number of yeast cells in the lab sample to double?

Answer:

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Preview:

The dot plot represents the 10 values in a data set. Which of the following correctly compares the median and the mean of the data set?

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The median of the data set is equal to the mean of the data set.

The median of the data set is greater than the mean of the data set.

The median of the data set is smaller than the mean of the data set.

There is not enough information to make a comparison between the median and the mean of the data set.

The graph of the equation ax+by=4 is a line in the xy-plane, where a and b are constants. If the line contains the points (−2,8) and (1,−3), what is the value of a+b ?

Mark for Review

−8

The function fis defined by f(x)=, and f(a)=6, where a is a constant. What is the value of a?

Answer:

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Preview:

1,000−2k=800

In 2010, a forest was populated with 1,000 deer. The population k years after 2010 was 800. If the equation above represents this situation, which of the following is the best interpretation of the number 2 in this context?

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The deer population k years after 2010

The value of k when the deer population was 800

The difference between the deer population in 2010and the population k years after 2010

The average decrease in the deer population per year from 2010 to k years after 2010

The function ff is defined by f(x)=5 For what value of x is f(x)=25?

Mark for Review

125

For the function qq, the value of q(x)q(x) increases by 25% for every increase in the value of x by 10. If q(0)=50, which equation defines q?

Mark for Review

q(x)=50

q(x)=50(0.25)

q(x)=50

q(x)=50(1.25)

In a store, there are 6 shelves of books and 5 shelves of magazines. Each bookshelf contains 40 books, out of which 25 are fiction and 15 are non-fiction. Each magazine shelf contains 30 magazines, out of which 20 are fashion magazines and 10 are sports magazines. If a publication is randomly selected from one of these shelves, what is the probability of selecting a non-fiction book?

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ax+4y≤8

ax−1≥3y

In this system of inequalities, a is a constant. If (2,1)is a solution to the system, which of the following is a possible value of a?

Mark for Review

−3

−1

AB=16

BC=30

AC=34

The side lengths of right triangle ABCare given. Triangle ABC is similar to triangle DEF, where B corresponds to E and C corresponds to F. What is the value of cos(F)?

Mark for Review

If −=−16 and −=−4 , what is the value of + ?

Mark for Review

−4

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Module I: Math

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Guest

The questions in this section address a number of important math skills.

Use of a calculator is permitted for all questions. A reference sheet, calculator, and these directions can be accessed throughout the test.

Unless otherwise indicated:

All variables and expressions represent real numbers.
Figures provided are drawn to scale.
All figures lie in a plane.
The domain of a given function f is the set of all real numbers x for which f(x) is a real number.

For multiple-choice questions, solve each problem and choose the correct answer from the choices provided. Each multiple-choice question has a single correct answer.

For student-produced response questions, solve each problem and enter your answer as described below:

If you find more than one correct answer, enter only one answer.
You can enter up to 5 characters for a positive answer and up to 6 characters (including the negative sign) for a negative answer.
If your answer is a fraction that doesn't fit in the provided space, enter the decimal equivalent.
If your answer is a decimal that doesn't fit in the provided space, enter it by truncating or rounding at the fourth digit.
If your answer is a mixed number (such as 3 1 2 ), enter it as an improper fraction ( 7 2 ) or its decimal equivalent (3.5).
Don't enter symbols such as a percent sign, comma, or dollar sign.

The questions in this section address a number of important math skills.

Use of a calculator is permitted for all questions. A reference sheet, calculator, and these directions can be accessed throughout the test.

Unless otherwise indicated:

All variables and expressions represent real numbers.
Figures provided are drawn to scale.
All figures lie in a plane.
The domain of a given function f is the set of all real numbers x for which f(x) is a real number.

For multiple-choice questions, solve each problem and choose the correct answer from the choices provided. Each multiple-choice question has a single correct answer.

For student-produced response questions, solve each problem and enter your answer as described below:

If you find more than one correct answer, enter only one answer.
You can enter up to 5 characters for a positive answer and up to 6 characters (including the negative sign) for a negative answer.
If your answer is a fraction that doesn't fit in the provided space, enter the decimal equivalent.
If your answer is a decimal that doesn't fit in the provided space, enter it by truncating or rounding at the fourth digit.
If your answer is a mixed number (such as 3 1 2 ), enter it as an improper fraction ( 7 2 ) or its decimal equivalent (3.5).
Don't enter symbols such as a percent sign, comma, or dollar sign.

Module I: Math

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Module I: Math

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Module I: Math

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