Module I: Math
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.
If 
, what is the value of 
?
Answer:
Which choice completes the text with the most logical and precise word or phrase?
If 
= 3 and 
= 3, what is value of n?
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.
The function g is defined by g(x) = 
x. For what value of x is g(x) = 50?
Answer:
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 rectangle has a length of x units and a width of (x + 4) units. If the rectangle has an area of 117 square units, what is the value of x?
Answer:
The box plots display the heights, in centimeters, of two groups of sunflowers. Based on the box plots, which of the following statements must be true?
c = 
The given equation relates to the distinct positive numbers 
, 
and 
. Which equation correctly expresses a in terms of b and c?
Which choice completes the text with the most logical and precise word or phrase?
a = 
a = 4bc
a = c (4b + 6)
a = c – 4b – 6
Which choice completes the text with the most logical and precise word or phrase?
r = 
(1,000) t
r = 
(1,000) t
r = 1,000 ()t
r = 1,000(2)t
Which expression is equivalent to (xy)
, where x and y are positive?
Which choice completes the text with the most logical and precise word or phrase?
x + 5 = 
Which of the following values of x is a solution to the equation above?
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.
Julia bought a set of kitchen appliances for a total of $1,800. She made a down payment of $300 and then made monthly payments of $100 each until the appliances were paid in full. If it took her x months to fully pay for the appliances, what is the value of x?
Answer:
In right triangle RST, the measure of angle T is 90 degrees. The value of tan(S)is 
. What is the value of sin(R)?
Which choice completes the text with the most logical and precise word or phrase?
The graph of 3x + 6y = -23 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 
?
Answer:
If 6x − 4y = 8, what is the value of 
?
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.