Module II: Math

SAT Practice Test 10

There are two sets of data for employee satisfaction. The engineering team, consisting of 120 members,hasan average satisfaction level of 4.5 out of 5. The marketing team has 80 members and an average satisfaction level of 4.0 out of 5. What is the combined average satisfaction level for the 200 employees?

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4.20

4.25

4.30

4.35

Solve for z in the equation 2∣7−z∣+5∣7−z∣=49

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z=14,z=0

z=−14,z=0

z=7,z=−7

z=0,z=5

A cylinder has a radius of 5 cm and a height of 10 cm. What is the volume of the cylinder?

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250π

300π

150π

200π

If the price of an item is increased by 20% and then decreased by 20%, what is the net percentage change in the price?

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4% decrease

No change

4% increase

5% decrease

For the function f, f(0)=120, and for each increase in x by 1, the value of f(x)decreases by 50%. What is the value of f(2)?

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By the end of 2023, 150 million households in the U.S. are using renewable energy. By July 2024, this number rises to 180 million. If a household using renewable energy in July 2024 is randomly selected, there's a 0.4 chance it's powered by wind energy. How many households, symbolized as z, were using wind energy in July 2024?

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72,000,000

60,000,000

48,000,000

36,000,000

If the area of a square is 64 square units, what is the length of one side of the square?

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Preview:

Line n is parallel to the line with equation y=x−3. What is the slope of line n?

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−12

-2

You have a bag containing 6 blue marbles and 9 yellow marbles. You randomly draw one marble and then, without replacing the first marble, you draw a second marble. What is the probability that both marbles drawn are blue?

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For the equations 3u+4v=120 and 5u+6v=2105 what is the value of v when (u,v) satisfies these equations?

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Preview:

If the sum of three consecutive even numbers is 90, what is the largest of these numbers?

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A bookstore owner wants to sell a total of 300 books this month. They can sell books individually, or they can offer a bundle of 5 books at once. Let x represent the number of individual sales and y represent the number of bundles sold. Which equation correctly represents this scenario?

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x−5y=300

x+5y=300

x+y=300

5x−y=300

y=+9. y=px+11. In the system, p is a constant. If there is no solution, then p =

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A square field has a side length of 15 meters. What is its area in square meters?

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Preview:

An economic survey polled 800 small businesses to ascertain their readiness for digital transformation. Of the 800 businesses, 250 said they were ready. If there are 10,000 small businesses in total, by how many businesses are the unready businesses expected to outnumber the ready ones?

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Preview:

If f(x)=x²−5x−24, what are the x-intercepts of f ?

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−3,8

−8,3

−4,6

−6,4

In the triangle shown above, points A, B, and C are the vertices of the triangle, and a∘, b∘, and c∘ represent the measures of the angles at each vertex, respectively. If the measure of angle A (a∘) is twice the measure of angle B (b∘), and the measure of angle C (c∘) is three times the measure of angle B (b∘), what is the measure of angle B in degrees?

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Preview:

A random sample of 50 twelfth-grade students was chosen from a high school. The students were polled about their interest in a new sports program, and 35 students expressed interest. Which of the following populations is the largest that the results of this poll can be generalized to?

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The 50 students who were polled

All twelfth grade students at the high school

All students at the high school

All twelfth grade students in the school district

A coffee shop serves 80 customers daily with no advertising. With an advertising expense of 300 dollars, they serve 120 customers. How many customers will the shop serve with an advertising expense of 150 dollars, assuming there is a linear relationship between advertising spend and customers?

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Preview:

In a company, the Marketing and Sales departments have employees with varying levels of education. In the Marketing department, there are 5 employees with a Bachelor's degree, 3 with a Master's degree, and 2 with a Doctoral degree. In the Sales department, there are 4 employees with a Bachelor's degree, 7 with a Master's degree, and 1 with a Doctoral degree. A person from one of these departments is to be chosen at random. If the person chosen works in the Marketing department, what is the probability that the highest level of education the person completed is a doctoral degree?

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The bar chart above displays the average test scores for four different schools. The error bars represent the standard error of the mean for each average score. Based on the chart, which of the following statements is true?

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School B has the lowest average test score.

School C has the largest standard error.

School D's average test score is within the margin of error of School B's average test score.

School A has an average test score that is significantly different from the other schools.

Set C contains 15 even numbers and 18 odd numbers. Set D contains 10 even numbers and 9 odd numbers. If two numbers are randomly selected, one from Set C and one from Set D, what is the probability that both numbers are even, given that the first number selected from Set C is even?

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Module II: Math

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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 II: Math

Check Your Work

Module II: Math

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Module II: Math

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