Module II: Math

SAT Practice Test 1

An electronics store manager wants to reach a total of 250 sales this month. They can make sales individually, or they can offer a bundle of 7 products 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 – 7y = 250

x + y = 250

x + 7y = 250

7x – y = 250

A substance has an initial mass of 200 grams. Every year, it decays by 5% of its current mass. What will be the mass in grams of the substance after 4 years?

Mark for Review

104.50

140.20

143.50

162.90

Which of the provided equations shares the same solution as the equation 72x + 120 = 576?

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8x + 14 = 64

9x + 15 = 72

10x + 16 = 80

7x + 13 = 56

The value x in the question 5x + 10 = 25 satisfles which of the folloing inequalities?

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x < 0

x = 5

x > 5

x ≤ 5

Line n passes through the points (3,−2) and (5,8). Which equation correctly represents line n?

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y=5x−17

y=6x−20

y=−2x+5

y=7x−28

For a circle with a circumference of 15π centimeters, what is the area of a one-third segment of the circle?

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225π

5π

A fair 8-sided die is rolled three times. What is the probability of rolling an even number at least once?

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1 -

1 –

Give the function f(x) = and f(x) = 72, what is a potential value of x?

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In the set of numbers [7, 11, 17, 6, 16, 5, 5, 5, 20], if a single number is removed such that the mean of the remaining numbers is 9, what is the value of the removed number?

Answer:

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Preview:

Mia used a conveyor belt to transfer packages from a warehouse at a steady pace. The warehouse contained 18,000 packages when Mia started the conveyor belt. After 4 hours of running the conveyor belt, 13,650 packages remained in the warehouse. If the conveyor belt continues moving packages at this rate, how many total hours will Mia have been running the conveyor belt when 9,840 packages are left in the warehouse?

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7.5

8.5

A random sample of 30 tenth-grade students was chosen from a high school. The students were polled about their interest in an after-school robotics club, and 22 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 30 students who were polled

All tenth grade students at the high school

All students at the high school

All tenth grade students in the school district

In triangle DEF, the measure of angle D is 45 and the measure of angle E is 60. What is the measurement of angle F in degrees?

Answer:

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Preview:

From a population of 40,000 people, 800 were randomly selected and surveyed about a new public park. The survey estimates that 45% of the population supports the new park, with a margin of error of 4%. What is a lower bound of the plausible value for the total number of people in the population who support the new park?

Answer:

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Preview:

A square garden has an area of 5 acres. What is this area in square feet? (1 acre = 43,560 square feet)?

Answer:

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A cone has a diameter of 6 inches and a height of 9 inches. What is the volume, in units of π cubic inches, of the cone?

Answer:

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A rectangular prism has a length of 12 feet, a width of 8 feet, and a height of 6 feet. A spherical balloon with a radius of 3 feet is inside the prism, touching the center of each face. To the nearest cubic foot, what is the volume of the space in the prism not occupied by the balloon?

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72 cubic feet

144 cubic feet

463 cubic feet

576 cubic feet

In triangle (MN, cos(O)) and angle M is a right angle. What is the value of cos(N)?

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A cylindrical water tank has a radius of 6 meters and a height of 4 meters. What is the volume, in cubic meters, of this tank?

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72π cubic meters

144π cubic meters

288π cubic meters

576π cubic meters

On January 5, 2020, there were 70 million smartphone users in Country X. The major providers were Alpha, Bravo, Charlie, Delta, and Echo. By March 31, 2020, the number of smartphone users in Country X increased to 90 million. If a smartphone user in Country X on March 31, 2020 is randomly selected, the probability they are an Alpha user is 0.37. There were pp million Alpha users in Country X on March 31, 2020. Rounded to the nearest million, what is the value of p?

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For the function g, g(0)=94, and for each increase in x by 1, the value of g(x) decreases by 75%. What is the value of g(3)?

Mark for Review

94.12

23.53

5.87

1.46

The scatter plot data has an exponential growth relationship. What is a possible value of x = 11?

Mark for Review

105

170

In the triangle shown, angle e is 70° and angle a is 95°. What is the measure of angle c in degrees?

Answer:

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Preview:

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Module II: 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 II: Math

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Module II: Math

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Module II: Math

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