Module I: Math

SAT Practice Test 4

A line represented by 4x+y=8 intersects the x-axis at (p,0) and the y-axis at (0,q). What is p−q?

Answer:

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The function P(t)=1.1(t+273) models the pressure P in atm corresponding to a temperature t in Celsius. If the temperature increases by 5 Celsius, by how much does the pressure increase, in atm?

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5.5

6.1

7.8

9.2

A high school basketball team has played 20 games this season. The number of points scored by the team in each game follows a symmetric distribution, with a mean score of 75 points. If the highest number of points scored in a game is 95 points, which of the following represents the lowest number of points the team scored in any game?

Answer:

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A high school math club consists of 12 members: 5 freshmen, 4 sophomores, and 3 juniors. A committee of 3 members is to be randomly selected to organize an upcoming math competition. What is the probability that the committee will include at least one member from each grade?

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12.1%

27.3%

40.9%

100%

A conical structure has its height equal to 30 cm. Its base has a radius of 5 cm. If we express the volume of this conical structure as mπ cm³, what is the value of m?

Mark for Review

100

250

500

The function g is defined by g(x)=150(0.2)^x. What is the value of g(0)?

Answer:

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Preview:

The function h(x)=3280×(0.7^)(x/12) represents the market value, in dollars, of a specific antique after x months. If the antique's value diminishes by q% annually from its value a year before, what is q?

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25%

30%

35%

40%

A popular tech blog conducted a survey among its readers, asking, "Do you think the new data privacy law will be effective?" At the end of the week, the blog reported that 38% of the responses were "Yes," while 57% were "No." Which factor most contributes to why the results may not accurately reflect the general public's opinion on the matter?

Mark for Review

The sum of the percentages does not equate to 100%, making the survey inaccurate.

The people who responded are likely already readers of a tech blog and thus not a random sample.

There was no equal 50-50 split between "Yes" and "No" answers.

The survey didn't stay open long enough for a representative sample.

y= +3.5. y=0.25x+4. What is the value of y−x?

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1.5

2.5

For the function h(x)=(x−5)(x+27), find the value of x where h(x) is minimized.

Mark for Review

−55

−11

A rectangle has a diagonal of length 4 and one of its sides measures 4. What is the length of the other side of the rectangle?

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2∣2−x∣+3∣1−x∣=55. What is the positive solution to the given equation?

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Two data sets of 23 integers each are summarized in the histograms shown. For each of the histograms, the first interval represents the frequency of integers greater than or equal to 10, but less than 20. The second interval represents the frequency of integers greater than or equal to 20, but less than 30, and so on. What is the largest possible difference between the mean of data set A and the mean of data set B?

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To find an expression equivalent to

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Write down the equation of the line that passes through the points (3,2) and (5,8).

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y=2x+3

y=3x−7

y=−3x+7

y=−2x+3

A research institute conducted a survey on 920 people to find out their preference between two types of vaccines: Vaccine X and Vaccine Y. The survey revealed that 505 people preferred Vaccine X. If the total population of the city is 12,000, by how many people is Vaccine X expected to be more popular than Vaccine Y?

Mark for Review

956

1,174

1,305

1,410

Consider the quadratic expression 4x²−24x+35. Which of the following expressions is(are) a factor of this quadratic? I.x−5 II.2x−7

Mark for Review

I only

II only

I and II

Neither I nor II

The function f(x) is defined by f(x)=(−304)(3)^x+x+24. What is the value of the y-intercept of the graph of y=f(x)?

Answer:

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Preview:

The term 4 is equal to ex^f, where e and f are integer constants. What is the sum e+f?

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A small business owner runs a cafe and is budgeting for coffee beans. The owner has 3,000 dollars to spend on coffee beans this month and wants to offer two types of beans: a standard blend and a premium blend. To maintain the discounted pricing from the supplier, the owner must purchase a minimum of 300 pounds of coffee beans in total. Each pound of the standard blend costs 7.50 dollars, and each pound of the premium blend costs 15 dollars. What is the maximum number of pounds of the premium blend the owner can purchase while staying within the budget and maintaining the discounted pricing?

Answer:

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Preview:

Circle A in the xy-plane has its equation given by (x+3)²+(y−4)²=25. Circle B in the xy-plane has its equation given by (x+3)²+(y−4)²=55. Determine the difference in area between the two circles in units of π

Answer:

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Preview:

The box plots summarize the masses, in kilograms, of two groups of deer. Based on the box plots, which of the following statements must be true?

Mark for Review

The mean mass of group 1 is greater than the mean mass of group 2.

The mean mass of group 1 is less than the mean mass of group 2.

The median mass of group 1 is greater than the median mass of group 2.

The median mass of group 1 is less than the median mass of group 2.

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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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