Module I: Math

SAT Practice Test 6

5,5,5,7,7,7,7,11,11,11

Which frequency table correctly represents the data listed?

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A line in the xy-plane has a slope of  and passes through the point (0,10). Which equation represents this line?

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y= - x – 10

y= - x + 10

y=  x – 10

y=  x + 10

f(x)=

For the function f above, what is the value of f(7)f(5)??

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-1

-

-

 

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).

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In right triangle RST , angle T is 90degrees. The value of tan(R )is ​. What is the value of sin(S)?

Answer :

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Preview:

A taxi driver charges an initial fare of $5.00 plus $0.50 for each  mile driven. If the total charge for a ride is $35.00, what is the distance traveled, in miles?

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4

12

24

60

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.

                = 6

               What is the solution to the given equation?

6
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The initial investment for a company was $20,000 in 2010. The model predicts that each year for the next 4 years, the value of the investment vv, in dollars, will increase by 5% of the previous year's investment value. Which equation best represents this model, where x is the number of years after 2010, for x4?

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In the xy-plane, the y-coordinate of the y-intercept of the graph of the function f is c. Which of the following must be equal to c?

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0

1

 f(0)

 f(1)

Healthy Habits Ltd. surveyed all the students in the basketball team at Eastfield High School with the question, "Do you enjoy eating carrots?" 25% answered "Yes." Based on this information, which of the following conclusions is valid?

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About 25% of all students at Eastfield High enjoy eating carrots.

Exactly 25% of all students on the basketball team at Eastfield High enjoy eating carrots.

25% of the basketball players of all high schools in the same city as Eastfield High enjoy eating carrots.

25% of the students on the basketball team at Eastfield High enjoy all types of fruits and vegetables.

If 3 , what is x in terms of b?

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9

27

If x+y=12 and x−y=4, what is the value of 

- ?

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8

48

128

160

(x2−16)(x+4)=0

What are all the roots of the above equation?

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-4,4 and 8

-4 and 4

-8, -4, and 4

-4, 0, and 4

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.

    7S+37G=444

During a gaming festival, gamers can earn differently colored stars based on their performance. One gamer earned S silver stars and G gold stars worth a total of 444 points. The given equation represents this situation. How many more points is a gold star worth than a silver star?

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Preview:

The minimum value of aa is 7 less than 4 times another number b. Which inequality shows the possible values of a?

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For the given equation r= , which equation correctly expresses s in terms of r and t?

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s =

s =

s =

s =

Which expression is equivalent to  + ?

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21x+y=10

3x2=y+170

The graphs of the equations in the given system of equations intersect at the point (x,y)in the xy-plane. What is a possible value of x?

17
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-12

-5

3

21

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 Pmodels the population, in thousands, of a certain city tyears after 2010. According to the model, the population is predicted to increase by n%every 9months. What is the value of n?

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.

 

    A proposal for a new city-wide recycling program was included on an election ballot. A radio talk show stated that 4 times as many people voted in favor of the proposal as people who voted against it. A social media post reported that 21,000 more people voted in favor of the proposal than voted against it. Based on these data, how many people voted against the proposal?

19
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An isosceles right triangle has a hypotenuse of length 64 inches. What is the perimeter, in inches, of this triangle?

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32

64

64 + 64

64 + 128

In a park, there are 4 sections of oak trees and 3 sections of pine trees. Each section of oak trees contains 10 trees that are 15 feet or taller and 5 trees shorter than 15 feet. Each section of pine trees contains 12 trees that are 15 feet or taller and 8 trees shorter than 15 feet. If a tree is randomly selected from one of these sections, what is the probability of selecting a tree that is 15 feet tall or taller?

21
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In the xy-plane, the point (p,q) lies on the line with equation y=x+b, where b is a constant. The point with coordinates (3p,7q) lies on the line with equation y=3xb. If p0, what is the value of ?

22
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