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Module II: Math
x + 40 = 45
What value of xx is the solution to the given equation?
Answer:
|x-6|=17
What is the positive solution to the given equation?
6
11
17
23
A circle has an area of 25π square centimeters. What is the radius of the circle in centimeters?
5
10
15
20
If 2 + x = 5, what is the value of 6 + 3x?
Answer:
The number g is 25 more than three times the number h. Which equation represents this relationship?
g = 25h + 3
g = 3h + 25
g = 3h − 25
g =
h +25
What percentage of 24 is equal to 15% of 120?
25%
40%
60%
75%
A box contains 30 balls, each marked with a different number from 1 to 30. If one ball is drawn at random, what is the probability of drawing an even-numbered ball?
The total amount f (x), in dollars, to rent office space for 6 months is given by
f (x) = 6 x + 300, where x is the monthly rent, in dollars. What is the total amount to rent the space when the monthly rent is $700?
$4,200
$4,500
$3,700
$4,900
A ladder is leaning against a wall, reaching a height of 12 feet from the ground. If the bottom of the ladder is 5 feet away from the wall, what is the length, in feet, of the ladder?
7
13
14
27
A charity organization opens an account with an initial balance of $30,000. No additional deposits or withdrawals are made, and the account earns a fixed annual interest rate of 2.5%. The account balance is given by an exponential function B, where B(t) is the account balance, in dollars, t years after the account is opened. Which equation could define B?
If Kayla wants to bake at least 100 cookies for a bake sale and can bake 25 cookies per hour, what is the minimum number of hours she must bake to reach her goal?
Answer:
The
function f(x) is defined by f(x) = 
. For what value of x is f(x) = 8?
2
4
8
1
Which expression is equivalent to y2 − 16?
y(y – 16)
(y – 16)(y + 1)
(y + 4)(y – 4)
(y + 16)(y – 16)
Maria bought a camera for a total of $360by making a down payment of $60and then making p monthly payments of $20each. If Maria paid off the camera in full after p monthly payments, which of the following equations represents this situation?
20p – 60 = 360
60p − 20 = 360
20p + 60 = 360
60p + 20 = 360
|
Value |
Data set X frequency |
Data set Y frequency |
|
20 |
3 |
6 |
|
25 |
5 |
6 |
|
30 |
7 |
7 |
|
35 |
6 |
5 |
|
40 |
6 |
3 |
Data set X and data set Y each consist of 27 values. The table shows the frequencies of the values for each data set. Which of the following statements best compares the means of the two data sets?
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 mean of data set X is equal to the mean of data set Y.
There is not enough information to compare the means of the data sets.
A basketball game was played between two teams, the Eagles and the Falcons. Together, the teams scored a total of 80 points, and the Eagles won by a margin of 16 points. How many points did the Falcons score?
32
40
48
64
A cube has a volume of 64 cubic units. What is the surface area, in square units, of the cube?
Answer:
The graph of 6x − 4y =
12 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 
?
- 
-
A rectangular field has a length of ( w – 12 ) feet and a width of w feet. If the area of the field is 160 square feet, what is the value of w?
Answer:
y = -x
y = x2 – 6
The graphs of the given equations in the xy-plane intersect at the point (a,b). What is a possible value of a?
-2
2
3
6
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.
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The questions in this section address a number of important reading and writing skills.
Each question includes one or more passages, which may include a table or graph. Read
each passage and question carefully, and then choose the best answer to the question
based on the passage(s).
All questions in this section are multiple-choice with four answer choices. Each
question has a single best answer.
The questions in this section address a number of important reading and writing skills.
Each question includes one or more passages, which may include a table or graph. Read
each passage and question carefully, and then choose the best answer to the question
based on the passage(s).
All questions in this section are multiple-choice with four answer choices. Each
question has a single best answer.
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
fis the set of all real numbersxfor whichf(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
fis the set of all real numbersxfor whichf(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.