Module II: Math

Đề Thi SAT 3 - Phòng Thi SAT ONLINE

x+30=55

What value of xx is the solution to the given equation?

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If 5+x=6, what is the value of 3x+15?

Answer:

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A bag contains 18 uniquely numbered balls ranging from 1 to 18. If one ball is selected at random, what is the probability of drawing a ball numbered 5?

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Which expression is equivalent to 5(3t−2)−4t?

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15t−10

11t−10

15t−14

11t−2

∣x−4∣=7

What is the negative solution to the given equation?

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−3

−11

−4

−7

In a right-angled triangle, one leg measures 5 meters and the other leg measures 12 meters. What is the length, in meters, of the hypotenuse?

Answer:

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The function f is defined by f(x)=5x+3. What is the value of f(x) when x=8?

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6a=2b−3c

The given equation relates the distinct positive integers a, b, and c. Which equation correctly expresses aa in terms of b and c?

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a =

a=2b−3c

a=b−1.5c

a=2(b−1.5c)

The number c is three times larger than the number d. Which equation represents this relationship?

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c =

c = d+3

c = 3+d

c = 3d

An escalator moves at a constant speed of 30 meters per minute. At what rate, in meters per second, does the escalator move?

Answer:

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The perimeter, in centimeters, of a rectangular table is represented by the expression 2l+10, where ll is the length, in centimeters, of the table. Which expression represents the width, in centimeters, of the table?

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l+5

The function f(x)is defined by f(x)=10. For what value of x is f(x)=50?

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100

Which expression is equivalent to +6x+9 ?

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(x+6)(x+1)

x(x+9)

(x+9)(x−1)

2x=6

−2x+y=8

The solution to the given system of equations is (x,y). What is the value of y?

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−2

−4

Given the following table of x and y values:

Which of the following expressions do all the x and y values in the table satisfy?

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y < 3x+1

y < 2x+5

y = 3x+1

y = 4x+3

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

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

Answer:

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For a certain rectangular region, the ratio of its length to its width is 25 to 5. If the length of the rectangular garden increases by 5 units, how must the width change to maintain this ratio?

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It must decrease by 1 unit.

It must increase by 1 unit.

It must decrease by 25 units.

It must increase by 25 units.

A rectangular garden has a length of (w+9) meters and a width of ww meters. If the area of the garden is 220 square meters, what is the value of w?

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y ≤

y > −x−2

Which point (x,y) is a solution to the given system of inequalities in the xy-plane?

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(−3,5)

(3,−5)

(0,−3)

(−3,0)

In triangles ABC and DEF, angles B and E each have measure 35° and angles C and F each have measure 91°. Which additional piece of information is sufficient to determine whether triangle ABC is congruent to triangle DEF?

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The measure of angles A and D

The length of side AB

The length of sides AC and DF

No additional information is necessary

3x+5y=7

6x+cy=10

In the system of equations above, c is a constant. For what value of c will there be no solution (x,y) to the system of equations?

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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