Module II: Math

Đề Thi SAT 1 - Phòng Thi SAT ONLINE

x+43=75

What value of xxis the solution to the given equation?

Answer:

Mark for Review

Preview:

The function f is defined by f (x) = 3x². What is the value of f(6)?

Mark for Review

108

A rectangle has an area of 48 square inches and a length of 8 inches. What is the width of the rectangle in inches?

Mark for Review

If 5 + x = 9, what is the value of 3x + 15?

Answer:

Mark for Review

Preview:

Which expression is equivalent to 9z + 3 (4z − 2)?

Mark for Review

21z – 6

12z + 6

21z + 6

27z – 6

A container holds 9 tickets, each numbered consecutively from 1 to 9. If one ticket is drawn at random, what is the probability that the ticket will have an odd number?

Mark for Review

10x =

The given equation relates to the distinct positive integers x, y, and z. Which equation correctly expresses x in terms of y and z?

Mark for Review

x =

The total expense g(y), in dollars, for a 24-month subscription to an online service is given by g(y) = 24y + 500, where y is the monthly fee, in dollars. What is the total expense for the subscription when the monthly fee is $200?

Mark for Review

$5,300

$4,800

$5,800

$4,300

The perimeter, in meters, of a rectangular field can be represented by the expression 2 w +6, where w is the width, in meters, of the field. Given this, which expression represents the length, in meters, of the field?

Mark for Review

w +3

The number z is 50 more than the number w. Which equation represents the relationship between w and z?

Mark for Review

z = w + 50

z = w

z = 50w

z = w – 50

A gardener needs to water plants, covering 40 square meters per hour. To water a 200 square meter garden, how many hours are needed?

Mark for Review

A survey was conducted to find out how much time people spend on daily exercise. The bar graph shows the number of participants who exercise for different durations each day. What is the mean exercise duration per day?

Answer:

Mark for Review

Preview:

3 ∣4 − x∣ + 4 ∣4 − x∣ = 35

What is the positive solution to the given equation?

Mark for Review

A rectangular room has a length of (w−14) meters and a width of w meters. If the area of the room is 51 square meters, what is the value of w?

Mark for Review

A factory operates a machine for 900 minutes each day. The machine can produce either small parts or large parts, one at a time. It takes 15 minutes to produce a small part or 30 minutes to produce a large part. Which equation represents the possible number of small parts, x, and large parts, y, the machine can produce each day?

Mark for Review

15x + 30 y= 900

30x + 15y = 900

(x + y) (15 + 30) = 900

(15 + x) (30 + y) = 900

2x – 5 = 1

−3(2x − 5) + y = 6

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

Answer:

Mark for Review

Preview:

x² + 2x + 5 = 0

How many distinct real solutions does the given equation have?

Mark for Review

Exactly one

Exactly two

Infinitely many

Zero

Sophie made 80 cupcakes. She packed them into x small boxes and y large boxes. The equation 5x + 10y = 80 represents this situation. Which is the best interpretation of 5x in this context?

Mark for Review

The number of large boxes Sophie filled

The number of small boxes Sophie filled

The total number of cupcakes in the large boxes

The total number of cupcakes in the small boxes

A right triangle has legs with lengths of 18 centimeters and 9 centimeters. If the length of this triangle's hypotenuse can be written in the form 9 centimeters, where x is an integer, what is the value of x?

Answer:

Mark for Review

Preview:

Which of the following expressions is(are) a factor of 2x²– 7x − 15?

I. 2x + 3

II. x – 5

Mark for Review

I only

II only

I and II

Neither I nor II

The dot plot represents the 15 values in data set A. A new data set B is created by introducing one more value, 105, into data set A. Which of the following correctly compares the medians and the ranges of data sets A and B?

Mark for Review

The median of data set Bis equal to the median of data set A, and the range of data set Bis equal to the range of data set A.

The median of data set B is equal to the median of data set A, and the range of data set B is greater than the range of data set A.

The median of data set B is greater than the median of data set A, and the range of data set B is equal to the range of data set A.

The median of data set B is greater than the median of data set A, and the range of data set B is greater than the range of data set A.

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 3), 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 math problems with numbers

Description automatically generated with medium confidence

x (x + 2) = 5x + 28

What is the sum of the solutions to the given equation?

Answer:

Mark for Review

Preview:

Check Your Work

On test day, you won't be able to move on to the next module until time expires.

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

Guest

Module II: Math

This Module is Over