Module II: Math

SAT Practice Test 2

y=. y=dx+8. In the system, d is a constant. If there is no solution, d =

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For groups of 30 or more people, a theater charges 18 dollars per person for the first 15 people and 12 dollars for each additional person. Which function gives the total cost, in dollars, for a group with n people, where n is greater or equal to 30?

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f(n)=18n

f(n)=12n

f(n)=270+12(n+15)

f(n)=270+12(n−15)

A cable company charges 20 dollars per month plus 0.06 dollars per minute for streaming. What function gives the total monthly cost C(m) for m minutes of streaming used?

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C(m)=0.06m

C(m)=20m

C(m)=20+0.06m

C(m)=0.06(m−20)

If 5 (3x−2)=3(3x−2)+10, what is 3x−2?

Answer:

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The population of a city increased from 50,000 in 2000 to 80,000 in 2020. Assuming the population increased at a constant rate, which function best models the population P, in thousands, t years after 2000?

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P(t)=1.5t+50

P(t)=1500t+50000

P(t)=1500t+80000

P(t)=1.5t+80

What is the maximum value of the function h defined by h(x)=−(x−4)²+16?

Answer:

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A fair 8-sided die is rolled 10 times. What is the probability of rolling an even number at least once?

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If y=4x+5 and x is increased by 3, what is the corresponding increase in y?

Answer:

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Consider the equation (sx+5)(8x²−tx+6)=160x³−200x²+75x+30. Find the product of the constants s and t if the equation holds for all x.

Answer:

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How many positive integer factors does 100 have, including 1 and 100?

Answer:

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Alex bought a bicycle at a 15 percent discount. The discounted price was 170 dollars. What was the original price of the bicycle in dollars?

Answer:

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A train travels 90 km in 2 hours and then 140 km in 3 hours. What is the average speed of the train for the entire journey in km/h?

Answer:

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A rectangle has a length that is 3 times its width. If the perimeter of the rectangle is 64 cm, what is the length of the rectangle in cm?

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In a right triangle, one of the angles is 30 degrees. What is the measure of the other non-right angle?

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A circle has a circumference of 62.8 cm. What is the area of the circle? (Use π = 3.14)

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200cm²

250 cm²

314 cm²

400 cm²

If 3x−4y=12 and x+y=5, what is the value of x?

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A function f(x)=2x²−7x+3 is plotted on the xy-plane. Which of the following is a factor of f(x)?

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x−3

x+3

2x−3

2x+3

A cylindrical water tank has a radius of 10 meters and a height of 10 meters. What is the volume, in π cubic meters, of this tank?

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100

1000

A spinner has sections numbered 1 to 5. What is the probability of landing on an even number after spinning the spinner?

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4/5

3/5

2/5

1/5

For the function g, g(10)=10, and for each increase in x by 2, the value of g(x) increases by 10%. What is the value of g(30) rounded to the nearest whole number?

Answer:

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The x-intercept of the graph shown is (x₁,0). What is the value of x₁?

Answer:

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The circle shown has center O, with diameters AD and BC. The length of arc AB, AC, BD and DC are all equal. What is the angle in degrees of angle AOC.

Answer:

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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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