Module II: Math

SAT Practice Test 5

The graph of 4x−2y=20 has an x-intercept at (a,0) and a y-intercept at (0,b), where a and b are constants. What is the value of ?

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−2

Let y₁ represent the profit from selling shoes and y₂ represent the profit from selling hats. The equation y₁=5x+20 represents the profit from selling shoes, while y₂=4x+10 represents the profit from selling hats. Suppose that at a certain value of \(x\), these two profits become equal (y₁=y₂). Let y be this common profit at that point. What is the value of x−y?

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What is the median of the data set: 68,70,74,75,78,82,85,90,95.

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What value of x is the solution to the equation x+35=90?

Answer:

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What is the area of a rectangle with a length of 15 cm and a width of 8 cm in cm²?

Answer:

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Which expression is equivalent to 25 −(5 +4)?

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The number y is 90 less than the number x. Which equation represents this relationship?

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y=x+90

y=90x

y=x−90

The expression is equivalent to , where c is a constant and x>0. What is the value of c?

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Out of 20 seeds that were planted, 75% sprouted. How many of these seeds sprouted?

Answer:

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Ty set a goal to walk at least 30 kilometers every day to prepare for a multiday hike. What is the minimum number of hours Ty must walk on that day if Ty walks at an average speed of 5 kilometers per hour?

Answer:

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Consider the histogram displayed, which represents Data Set A consisting of 15 distinct values. The horizontal axis (x-axis) denotes the numerical value of the data points, while the vertical axis (y-axis) indicates the frequency of each value. Based on the information provided by the histogram: What is the mean value of Data Set A?

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10.2

15.3

16.7

17.6

The function f is defined by f(x)=x³+6. What is the value of f(3)?

Answer:

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The total cost f(x), in dollars, to lease a car for 24 months from a particular car dealership is given by f(x)=24x+800, where x is the monthly payment. What is the total cost to lease a car when the monthly payment is 350?

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9,200

9,600

10,400

11,400

An object travels at a constant speed of 15 centimeters per second. At this speed, what is the time, in seconds, that it would take for the object to travel 150 centimeters?

Answer:

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The graph of 5x+3y=−15 in the xy-plane has an x-intercept at (a,0) and a y-intercept at (0,b), where a and b are constants. What is the value of ?

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Which expression is equivalent to x²+4x−21 ?

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(x−3)(x+7)

(x−6)(x+3)

(x−7)(x+3)

(x−21)(x+1)

In triangle ABC, the measure of angle B is 55° and the measure of angle C is 20°. What is the measure of angle A?

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100

105

From a population of 40,000 people, 800 were chosen at random and surveyed about a new park development. Based on the survey, it is estimated that 40% of people in the population support the development, with an associated margin of error of 4%. Based on these results, which of the following is a plausible value for the total number of people in the population who support the new development?

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1000

5000

10,000

15,000

An airplane ascends from an altitude of 7,000 feet to 10,000 feet at a constant rate of 350 feet per minute. What type of function best models the relationship between the ascending airplane's altitude and time?

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Increasing exponential

Increasing linear

Decreasing exponential

Decreasing linear

Consider the function f defined by the equation f(x)=, where a is a constant. The graph of the function y=f(x) is shown. A new function g, defined as g(x)=f(x+4), represents a horizontal shift of the function f. Which of the following equations correctly defines the function g? For a new function z(x)=f(x−4), which of the following statements must be true?

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z(x) shifts to the left of f(x)

z(x) shifts to the right of f(x)

z(x) is equal to f(x)

z(x) is equal to g(x)

A bakery prepares two types of pastries, cupcakes and pies, each day for a total of 480 minutes. It takes the bakery 8 minutes to make a batch of cupcakes and 12 minutes to make a pie. Which equation represents the possible number of batches of cupcakes, c, and pies, p, the bakery can make each day?

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8c + 12p = 480

12c + 8p = 480

(c + p)(8 + 12) = 480

(8 + c)(12 + p) = 480

A tank at an aquarium is filled with saltwater. The tank is in the shape of a rectangular prism, and its dimensions are 2 meters in length, 1.5 meters in width, and 1 meter in height. If the density of saltwater is approximately 1025 kilograms per cubic meter, what is the mass, in kilograms, of the saltwater in the tank? Round your answer to the nearest whole number.

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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