Module I: Math

Đề Thi SAT 3 - Phòng Thi SAT ONLINE

Which expression is equivalent to x²+2x-24?

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(x−6)(x+4)

(x+3)(x−8)

(x+8)(x−3)

(x−4)(x+6)

The function gg is defined by g(x)=x. For what value of xx is g(x)=60?

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180

Triangles XYZ and LMN are congruent, where X corresponds to L, and Y and M are right angles. The measure of angle X is 30°. What is the measure of angle N?

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30°

60°

90°

150°

When 7 is multiplied by 4x, the result is greater than 84. What is the least possible integer value for x?

Answer:

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Which expression is equivalent to ()(x) , where x, y, and z are positive?

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What is the area of a circle with a diameter of 12 centimeters (cm)?

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9π

36π

72π

144π

If x+y=12 and x−y=4, what is the value of −?

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128

160

The point with coordinates (a,) lies on the line shown. What is the value of a?

Answer:

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During a science experiment, Soni observed that a container initially contained 120 milliliters of water. From 11:00 a.m. until 1:15 p.m., water evaporated from the container at a steady rate of 11 milliliters per hour. How many milliliters of water remained in the container at 1:15 p.m.?

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117

117.25

117.5

117.75

If ∣3x−6∣=150, what is the negative value of x−2?

Answer:

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Each of the dot plots shown represents the number of pages read by each student in two classes, Class A and Class B. Which statement best compares the standard deviations of the numbers of pages read by each student in these two classes?

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The standard deviation of the number of pages read by each student in Class A is less than the standard deviation of the number of pages read by each student in Class B.

The standard deviation of the number of pages read by each student in Class A is equal to the standard deviation of the number of pages read by each student in Class B.

The standard deviation of the number of pages read by each student in Class A is greater than the standard deviation of the number of pages read by each student in Class B.

There is not enough information to compare these standard deviations.

The function ff is defined by f(x)=2−18. What is one xx-intercept of the graph of y=f(x) in the xy-plane?

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(0,−3)

(0,9)

(−3,0)

(9,0)

A small ice cream shop observes that the amount of ice cream sold is related to the daily temperature. The table relates the temperature, in degrees Celsius (°C., to the number of ice cream cones sold. Which of the following statements best describes the relationship?

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It is approximately linear because the number of ice cream cones sold increases by about the same amount for each 5°C increase in temperature.

It is approximately linear because the number of ice cream cones sold increases by about the same percent for each 5°C increase in temperature.

It is approximately exponential because the number of ice cream cones sold increases by about the same amount for each 5°C increase in temperature.

It is approximately exponential because the number of ice cream cones sold increases by about the same percent for each 5°C increase in temperature.

How many solutions does the equation 6(3x−2)=−3(4−6x) have?

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Zero

Exactly one

Exactly two

Infinitely many

Data set AA and data set BB each consist of 25 values. The table shows the frequencies of the values for each data set. Which of the following statements best compares the means of the two data sets?

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The mean of data set AA is greater than the mean of data set B.

The mean of data set AA is less than the mean of data set B.

The mean of data set AA is equal to the mean of data set B.

There is not enough information to compare the means of the data sets.

In right triangle RST, the sum of the measure of angle R and angle S is 90 degrees. The value of tan(S) is 4/3. What is the value of cos(R)?

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3/5

3/4

4/5

4/3

A water tank initially contains 3,360 liters of water. A pump starts removing the water at a constant rate of 80 liters per minute. After removing half of the initial amount of water, the pump removes the water at a constant rate of 60 liters per minute. How long does it take for the pump to completely empty the tank, in minutes?

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The first term of a sequence is 7. Each term after the first is 3 times the preceding term. If vv represents the nnth term of the sequence, which equation gives v in terms of n?

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v = 3 ()

v = 7 ()

The mean of three numbers is 10 more than the least of the numbers and 15 less than the greatest. What is the range of the three numbers?

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In the xy-plane, line l passes through the point (0,1) and is parallel to the line represented by the equation y=3x−7. If line l also passes through the point (2,d), what is the value of d?

Answer:

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The table shows the balance of Sofia's savings account at the end of each year, starting from when she deposited $10,000 in 2010. No additional deposits were made and the annual interest rate remained constant. What is the value of b, the balance at the end of 2013, rounded to the nearest dollar?

Answer:

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Preview:

3x(3x+1)=56

What is the sum of the solutions to the given equation?

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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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