Module I: Math

Math - SAT Practice Test 7

What percentage of 250 is 150?

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30%

50%

60%

90%

Which expression is equivalent to

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(x  6)(x +4)

(x  3)(x +8)

(x  8)(x +3)

(x  4)(x +6)

A fuel tank on an airplane contained 5,000 liters of fuel before a flight. Exactly 2 hours after the flight began, 3,800 liters of fuel remained. On average, approximately how much fuel, in liters, did the airplane consume each hour?

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400

600

800

If x + y = 9 and x - y = 4, what is the value of ?

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1

5

13

The function f is defined by  6. What is the value of f(0)?

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0

6

9

18

The function f is defined by . What is the coordinate of the y-intercept of the graph of  in the xy-plane?

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In right triangle , angle is the right angle. The value of is . What is the value of cos(R)?

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2

The function  is defined by . What is the value of ?

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0

1

30

60

4 more than 7 times a number  is equal to 60. Which equation represents this situation?

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A physicist conducted an experiment to study the relationship between force and acceleration for a particular object. It was observed that the acceleration of the object varies linearly with the force applied. When a force of 20 Newtons was applied, the acceleration of the object was measured at 5 meters per second squared, and when a force of 40 Newtons was applied, the acceleration was measured at 10 meters per second squared. Based on this linear relationship, what would be the expected acceleration of the object, in meters per second squared, when a force of 36 Newtons is applied?

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If  and  , what is value of ?

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Student-produced response directions

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  ), enter it as an improper fraction () or its decimal equivalent (3.5).

Don't enter symbols such as a percent sign, comma, or dollar sign.

The function  models the number of bacteria in a dish  minutes after an initial observation. How much time, in minutes, does it take for the number of bacteria in the dish to double?

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Preview:

In the -plane, the graph of the linear function  contains the points  and . Which equation defines , where ?

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Student-produced response directions

If you find , enter only one answer.

You can enter up to 5 characters for a answer and up to 6 characters (including the negative sign) for a answer.

If your answer is a that doesn't fit in the provided space, enter the decimal equivalent.

If your answer is a that doesn't fit in the provided space, enter it by truncating or rounding at the fourth digit.

If your answer is a (such as ), enter it as an improper fraction (​)or its decimal equivalent (3.5).

Don't enter symbols such as a percent sign, comma, or dollar sign.

The graph of in the -plane is a circle centered at with a radius of . What is the value of ?

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Preview:

Student-produced response directions

If you find , enter only one answer.

You can enter up to 5 characters for a  answer and up to 6 characters (including the negative sign) for a  answer.

If your answer is a  that doesn't fit in the provided space, enter the decimal equivalent.

If your answer is a  that doesn't fit in the provided space, enter it by truncating or rounding at the fourth digit.

If your answer is a (such as ), enter it as an improper fraction ()or its decimal equivalent (3.5).

Don't enter symbols such as a percent sign, comma, or dollar sign.

Daniel purchased a computer for a total of . He made a down payment of  and then made monthly payments of  each until the computer was paid in full. If it took him  months to fully pay for the computer, what is the value of ?

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Preview:

The dot plot represents the 10 values in a data set. Which of the following correctly compares the median and the mean of the data set?

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The median of the data set is equal to the mean of the data set.

The median of the data set is greater than the mean of the data set.

The median of the data set is smaller than the mean of the data set.

There is not enough information to make a comparison between the median and the mean of the data set.

The first term of a sequence is 10. Each term after the first is 2 times the preceding term. If  represents the th term of the sequence, which equation gives  in terms of ?

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Student-produced response directions

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 ), enter it as an improper fraction () or its decimal equivalent (3.5).

Don't enter symbols such as a percent sign, comma, or dollar sign.

In the -plane, line  passes through the point  and is parallel to the line represented by the equation . If line  also passes through the point , what is the value of ?

18
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Preview:

Student-produced response directions

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 ), enter it as an improper fraction () or its decimal equivalent (3.5).

Don't enter symbols such as a percent sign, comma, or dollar sign.

An angle has a measure of  radians. What is the measure of the angle, to the nearest degree?

19
Mark for Review
Preview:

Student-produced response directions

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 ), enter it as an improper fraction ) or its decimal equivalent (3.5).

Don't enter symbols such as a percent sign, comma, or dollar sign.

=

What is the smallest solution to the given equation?

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Preview:

 In the given system of equations, is a constant. If the system has infinitely many solutions, what is the value of

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The function  models the population, in thousands, of a certain city  years after 2020. According to the model, the population is predicted to increase by  very 8 months. What is the value ?

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