Module I: Math

SAT Practice Test 9

Which expression is equivalent to 15x²−7x²?

Mark for Review

8x²

22x⁴

What is the area of a triangle with a base of centimeters (cm) and a height of cm?

Mark for Review

15 cm²

35 cm²

70 cm²

140 cm

Data setX: 3,5,5,7

Data setData setY: 3,5,5,7,9

The lists give the values in data sets X and Y. Which statement correctly compares the mean of data set X and the mean of data set Y?

Mark for Review

The mean of data set X is greater than the mean of data set Y.

The mean of data set X is less than the mean of data set Y.

The means of data set X and data set Y are equal.

There is not enough information to compare the means.

5m+2n=100

The given equation describes the relationship between the number of men's shirts, m, and the number of neckties, n, that can be displayed in a clothing store's window. If the store displays 20 neckties, how many men's shirts can it display?

Mark for Review

The box plots represent the ages, in years, of two groups of trees in a forest. Based on the box plots, which of the following statements must be true?

Mark for Review

The mean age of group X is greater than the mean age of group Y.

The mean age of group X is less than the mean age of group Y.

The median age of group X is greater than the median age of group Y.

The median age of group X is less than the median age of group Y.

If 5x+15=76, what is the value of 10x+30?

Answer:

Mark for Review

Preview:

(3x³+3x)(x³−x)

Which of the following is equivalent to the expression above?

Mark for Review

4x³+2x

3x⁶−6x⁴−3x²

3x⁶−3x²

3x⁹−3x

The table shows four values of x and their corresponding values of f(x). There is a linear relationship between x and f(x) that is defined by the equation f(x)=mx−1, where mm is a constant. What is the value of m?

Answer:

Mark for Review

Preview:

In the figure above, is parallel to . What is the length of ?

Answer:

Mark for Review

Preview:

The graph of y=f(x) is shown, where the function fis defined by f(x)=ax³+bx²+cx+d, and a, b, c, and dare constants. For how many values of xdoes f(x)=0?

Mark for Review

A bag contains 6 red marbles, 4 blue marbles, and 5 green marbles. What is the probability of randomly drawing a blue marble from the bag?

Mark for Review

The given equation relates the distinct positive numbers m,n,and s. Which equation correctly expresses 5s+6 in terms of m and n?

Mark for Review

5s+6=

5s+6=nm

5s+6=n−m

5s+6=

The dot plot represents the 10 values in a data set. Which of the following correctly compares the median and the mean of the data set?

Mark for Review

The median of the data set is equal to the mean of the data set.

The median of the data set is greater than the mean of the data set.

The median of the data set is smaller than the mean of the data set.

There is not enough information to make a comparison between the median and the mean of the data set.

Which of the following is equivalent to (3x+3)²−3x?

Mark for Review

3x+6

9x²−3x+9

9x²+15x+9

y≥3x−7

In the xy-plane, point P is 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

(−1,0)

(0,0)

(1,2)

(2,−2)

Which expression is equivalent to , where x and y are positive?

Mark for Review

A parabola in the xy-plane has x-intercepts at (−7,0) and (1,0). What is the x-coordinate of the vertex?

Mark for Review

−6

−3

A cylinder has a base diameter of 10 inches and a height of 5 inches. What is the volume, in cubic inches, of the cylinder?

Mark for Review

50π

75π

125π

500π

An investment of $5,000 is made in a savings account that grows at an annual interest rate of 4%. What will the balance be after 2 years?

Mark for Review

$5,200

$5,400

$5,408

$40,000

What is the negative solution to the given equation?

Answer:

Mark for Review

Preview:

In the system of equations below, a and b are constants.

x+ y=

ax+y=b

If this system of equations has an infinite number of solutions, what is the value of a+b ?

Mark for Review

f(x)=4x²−60x+81

The given equation defines the function f. For what value of x does f(x) reach its minimum?

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 I: 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 I: Math

Check Your Work

Module I: Math

Guest

Module I: Math

This Module is Over