Module II: Math

SAT Practice Test 9

Which expression is equivalent to ?

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A sphere has a radius of 3 cm. What is its surface area in units of cm²?

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If a train travels 300 kilometers in 4 hours, what is its average speed in kilometers per hour?

Answer:

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If vx+wy=15 is a line that passes through the points (4,2) and (2,4), what is the value of w?

Answer:

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In a bag of 15 marbles, 5 are red, 6 are blue, and 4 are green. What is the probability of drawing a red marble and then a blue marble in two consecutive draws without replacing the first drawn marble?

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1/3

2/5

1/7

1/2

A fitness center charges a 75 dollar registration fee and 30 dollar per month for a membership. However, they offer a 10% discount on the monthly fee after the first 6 months of membership. Calculate the total cost in dollars for an 8-month membership.

Answer:

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A car has a fuel efficiency of 30 miles per gallon, and the price of gas is $3.50 per gallon. How much will it cost in dollars for a 240-mile journey?

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Two angles are supplementary. If one angle is 70 degrees, what is the measure of the other angle?

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95 degrees

100 degrees

110 degrees

120 degrees

At how many points do the graphs of the equations y=3x+20 and y=4x intersect in the xy-plane?

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Which of the following expressions is equivalent to ?

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(5x – 2)(x + 3)

(x – 1)(x - 3)

2(x – 3)(x - 1)

3(2x – 2)(x - 3)

A rectangle has a length that is twice its width. If the perimeter of the rectangle is 36 inches, what is the area of the rectangle in square inches.?

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148

Suppose v(x) = (x + 3)(x − 2)(x − 5). We obtain u(x) by moving v(x) down by 6 units. What is u(4)?

Answer:

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A container is being filled with water at a constant rate. After 3 minutes, it contains 9 liters of water. How much water in liters will be in the container after 7 minutes?

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If 3x−7y=12 and 2x+y=−1, what is the value of x?

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Consider the equations y=3x+c and y=ax+d. If the system has infinite solutions, what is the value of the slope a in the second equation?

Answer:

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How many positive integer factors does 144 have, including 1 and 144?

Answer:

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Data set X consists of the weights of 40 objects and has a mean weight of 20 kg. Data set Y consists of the weights of 60 objects and has a mean weight of 30 kg. Data set Z combines the weights from data sets X and Y. What is the mean weight of data set Z in kg?

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Given the quadratic equation: . For what value of x does the value of y reach its minimum?

Answer:

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A taxi service charges a flat rate plus a per-mile fee. The graph represents the total cost, in dollars, for y miles traveled. What does the y-intercept of the graph represent?

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The taxi’s per-mile fee

The taxi’s initial flat rate

The maximum distance the taxi can travel

The total cost for the taxi service

Given , what is the value of ?

Answer:

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The bar graph shows the annual rainfall in a region from 2000 to 2010. A bar graph represents the annual rainfall by year. The vertical axis represents rainfall in millimeters from 0 to 100 in increments of 10. The horizontal axis represents years from 2000 to 2010. Each year has a corresponding bar indicating the amount of rainfall. Based on the bar graph, in which year was the rainfall in the region the lowest?

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2002

2005

2007

2010

On January 1, 2023, there were 120 million Instagram users in the United States. By June 1, 2023, the number had risen to 144 million. If an Instagram user in the United States on June 1, 2023, is selected at random, the probability that the user is a Millennial individual is 0.55. There were n million Millennial Instagram users on that date. What is the value of n to the nearest million?

Answer:

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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

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Module II: Math

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Module II: Math

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