Module II: Math

SAT Practice Test 6

The function g is defined by g(x)=2x+15. What is the value of g(x) when x=3?

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The number y is the product of x and 7. Which equation represents this relationship?

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y = x + 7

y = 7x

y = 7 – x

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 f is defined by (x)=3. What is the value of f(5)?

Answer:

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Preview:

The area, in square feet, of a rectangular room can be represented by the expression 4y, where y is the width, in feet, of the room. Which expression represents the length, in feet, of the room?

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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.

A painter needs to cover a wall that is 250 square feet. If the painter can paint 50 square feet per hour, what is the minimum number of hours required to paint the entire wall?

Answer:

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Preview:

Of ,200,000 books in a library, ,000 are fiction. What percentage of the books are fiction?

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75%

80%

85%

90%

The function f(x) is defined by f(x)=9 . For what value of x is f(x)=27?

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The function f is defined by f(x)=12x+48. What is the x-intercept of the graph of y=f(x) in the xy-plane?

Mark for Review

(-4, 0)

(4,0)

(-48,0)

(48,0)

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, in degrees?

Answer:

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Preview:

A bicycle travels at a constant speed of 15 kilometers per hour. At what rate, in meters per hour, does the bicycle move?

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0.015

0.15

1,500

15,000

Which expression is equivalent to ?

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What is the positive solution to the given equation?

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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.

If , what is the value of ?

Answer:

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Preview:

A sample of steel has a density of ,850 kilograms per cubic meter. The sample is in the shape of a cube, where each edge has a length of 0.3 meters. To the nearest whole number, what is the mass, in kilograms, of this sample?

Mark for Review

212

2,355

26.167

290,741

Which expression is equivalent to - ?

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The point with coordinates (a, ) lies on the line shown. What is the value of a?

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The area, in square inches, of a triangular flag can be represented by the expression 10x. If the height of the flag is 10 inches, which expression represents the base, in inches, of the flag?

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20x

For the function q, the value of q(x)decreases by 35%for every increase in the value of x by 1. If q(0)=17, which equation defines q?

Mark for Review

q(x)=0.65

q(x)=1.35

q(x)=17

y>3x+3

y≤5x−1

In the xy-plane, point Pis contained in the graph of the solution set of the system of inequalities above. Which of the following could be the coordinates of point P?

Mark for Review

(0,0)

(2,9)

The graph of +6y=21 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 ?

Mark for Review

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.

If , what is the value of ( )(3+3x) ?

Answer:

Mark for Review

Preview:

How many distinct real solutions does the given equation have?

Mark for Review

Exactly one

Exactly two

Infinitely many

Zero

Check Your Work

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For these practice tests, you can click Next when you're ready to move on.

Module II: Math

Unanswered

For Review

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

Check Your Work

Module II: Math

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Module II: Math

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