Module II: Math

SAT Practice Test 9

x−30=25

What value of xis the solution to the given equation?

Mark for Review

−5

The function f is defined by f(x)=4x³. What is the value of f(4)?

Answer:

Mark for Review

Preview:

In a right-angled triangle, one leg measures x meters, and the other leg measures 33 meters. What is the length, in meters, of the hypotenuse?

Mark for Review

x+3

If 6−x=6, what is the value of 18−3x ?

Answer:

Mark for Review

Preview:

Which expression is equivalent to 6(2x+1)−(4x+3)?

Mark for Review

8x+3

12x−2

8x−2

12x+3

What percentage of 60 is equal to 25% of 36?

Mark for Review

12%

15%

60%

The total expenditure f(x), in dollars, for a 24-week yoga class is given by f(x)=24x+200, where x is the weekly fee, in dollars. What is the total expenditure for the yoga class when the weekly fee is $25?

Mark for Review

$600

$700

$800

$900

Which expression is equivalent to y²+10y+25?

Mark for Review

(y+5)²

y(y+25)

(y−10)(y+2.5)

(y+25)(y−1)

A box contains 7 balls, each marked with a different number from 1 to 7. If one ball is drawn at random, what is the probability of drawing an even-numbered ball?

Mark for Review

The perimeter, in meters, of a rectangular playground is represented by the expression 2x+8, where x is the length, in meters, of the playground. Which expression represents the width, in meters, of the playground?

Mark for Review

x+4

In the linear function f, f(0)=7 and f(3)=19. Which equation defines f ?

Mark for Review

f(x)=6x+1

f(x)=4x+3

f(x)=4x+7

f(x)=6x+7

y=3x−4

Which table gives three values of x and their corresponding values of y for the given equation?

Mark for Review

3∣4−x∣+4∣4−x∣=35

What is the negative solution to the given equation?

Answer:

Mark for Review

Preview:

The function gg is defined by g(x)=−2x−8. What is the x-intercept of the graph ofy=g(x) in the xy-plane?

Mark for Review

(−4,0)

(4,0)

(−8,0)

(8,0)

For the function q, the value of q(x) increases by 15% for every increase in the value of x by 10. If q(0)=30, which equation defines q ?

Mark for Review

q(x)=

If a line passes through the points with coordinates (5,2), (−1,4), and (3,c), what is the value of c?

Answer:

Mark for Review

Preview:

On January 1st, a website had 5,000 registered users. On February 1st, the website had 10% fewer registered users than on January 1st due to a technical issue. On March 1st, there were 15% more registered users on the website than there were on February 1st. How many registered users were on the website on March 1st?

Mark for Review

4,350

4,725

5,175

5,500

The function f(x) is defined by f(x)=4. For what value of x is f(x)=8?

Answer:

Mark for Review

Preview:

Triangle XYZ is similar to triangle RST such that X, Y, and Z correspond to R, S, and T, respectively. The measure of ∠Z is 45° and 3XY=RS. What is the measure of ∠T?

Mark for Review

3°

15°

45°

135°

2x²−4x+1=0

How many distinct real solutions does the given equation have?

Mark for Review

Exactly one

Exactly two

Infinitely many

Zero

y=12x+60

One of the two linear equations in a system is given. If the system has no solution, which equation could be the second equation in the system?

Mark for Review

y=5(x+5)

y=5(x+12)

y=12(x+5)

y=12(x+12)

Which of the following equation has a graph in the xy-plane with no x-intercepts?

Mark for Review

y=x+20

y=21x²

y=x²+x+15

y=x²+9x+20

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