Module I: Math

SAT Practice Test 5

Solve for the ordered pair (m,n) in m+n=2 and m−n=m²−1?

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(1,1)

(−1,−1)

(2,0)

No solution

The function V(P)=0.8(P−1) models the volume V in liters of a gas at pressure P in atm. If the pressure decreases by 2 atm, what is the change in volume, in liters?

Answer:

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The ratio of the length of line segment AB to the length of line segment CD is 5 to 3. If the length of line segment AB is 75 inches, what is the length, in inches, of line segment CD?

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In a store, cylinder shaped bottles are designed to maximize shelf space. The height of each cylinder shaped bottle is precisely 7 inches more than its radius. Which equation represents the volume V of these bottles in cubic inches, given the radius r in inches?

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πr³+7πr²

πr²+7πr

πr³+7πr

πr²+7πr³

An economic survey polled 650 small businesses to ascertain their readiness for digital transformation. Of the 650 businesses, 200 said they were ready. If there are 7,800 small businesses in total, by how many businesses are the unready businesses expected to outnumber the ready ones?

Answer:

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A travel agency books 500 flights to Hawaii the first week of the year. If there are 7,000 flights booked in a year (52 weeks in a year), what fraction of the total annual bookings were made in the first week?

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Each side of a 30-sided polygon has one of three lengths. The number of sides with length 8 cm is 5 times the number of sides n with length 3 cm. There are 6 sides with length 4 cm. Which equation must be true for the value of n?

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n+5n+6=24

n+5n+6=30

6n−6=30

6n+6=36

The current population of a bacterial culture is 2,000 bacteria, and it is estimated to double every 4 hours. Which of the following equations can be used to estimate the number of hours, t, it will take for the population of the bacteria to reach 16,000?

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16,000=2,000(2)^t^/4

2,000=16,000(2)^t/4

1,000=2,000(3.5)^t/4

2,000=16,000(1.5)^t/4

The function g(t)=− (t−5)²+8 represents a stone's height g(t), in feet, t seconds after being thrown, where 0<t<12. What does the vertex of g(t) imply about the stone's motion?

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5 seconds after being thrown, it reaches a height of 8 feet.

8 seconds after being thrown, it reaches a height of 5 feet.

5 feet above the ground, it reaches a height of 8 seconds.

None of the above

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?

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g(x)=

Let g(t)=7800×(0.55)^(t/12) signify the value of a piece of artwork, in dollars, t months after its purchase. If the artwork loses r% of its value each year, find r.

Answer:

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Preview:

There are two sets of data for employee satisfaction. The engineering team, consisting of 90 members, has an average satisfaction level of 4.2 out of 5. The marketing team has 60 members and an average satisfaction level of 3.8 out of 5. What is the combined average satisfaction level for the 150 employees?

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3.92

4.00

4.04

4.10

The equation 3x−2y=6 has an x-intercept at (r,0) and a y-intercept at (0,s). What is ?

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Which of the following inequalities is equivalent to the inequality: 6x−8y>24?

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3x−4y>12

3x−2y>6

2x−y>6

x− >4

The measure of angle A is radians. The measure of angle B is radians greater than the measure of angle A. What is the measure of angle B , in degrees?

Answer:

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Preview:

Determine the ordered pair (x,y) that is a solution to the equations x−y=3 and x+y=x²−2.

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(1,−2)

()

(2,−1)

(3,0)

Which equation represents a line that is perpendicular to the graph shown.

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y=x+10

y=x+2

y=−x+10

y=−2x+10

−2x+5y=−1, 3x−5y=2. What is the value of −x+y?

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An exam has a maximum score of m points. Sally wants to score at least 80% but not more than 90% of the maximum score. Which inequality represents all possible scores s she could get?

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0.7m≤s≤0.8m

0.8m≤s≤0.9m

0.85m≤s≤0.95m

0.9m≤s≤1.0m

Square R has a side length of b meters. Square S has a perimeter that is 200 meters more than the perimeter of square R. What is the expression for the area of square S in terms of b?

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(b+25)²

(b+50)²

(b+100)²

(b+200)²

12x−4y=8, ty=1−3x. In this system, t is a constant. If there is no solution, t =?

Mark for Review

−3

−1

Line m is parallel to the line with equation y=−2x+5. What is the slope of line m?

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2 −2

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Module I: 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 I: Math

Line m is parallel to the line with equation y=−2x+5. What is the slope of line m?

2

−2

Check Your Work

Module I: Math

Guest

Module I: Math

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