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Module II: Math
The function hh is defined by h(x)=5x+12. What is the value of h(x) when x=6?
18
30
42
60
The
function g
is defined by g(x)=3
What is the value of g(2)?
8
18
24
54.
What is the area, in square meters, of a triangle with a base of 8 meters and a height of 5 meters?
13
20
40
60
Which expression is equivalent to 15y−(2y+5y)?
8y
9y
10y
12y
If x+3=5, what is the value of 9+3x?
Answer:
What percentage of 70 is equal to 35% of 40?
14%
20%
28%
50%
3∣5−x∣+5=23
What is the positive solution to the given equation?
Answer:
A typist can type 60 words per minute. To type a document of 3,000 words, what is the minimum amount of time, in minutes, the typist needs to type?
40
50
60
70
The area, in square meters, of a rectangular board can be represented by the expression 24x. If the width of the board is 6 meters, which expression represents the length, in meters, of the board?
4x
6x
x
4
A survey was conducted to find out how many plants people have in their households. The bar graph shows the number of households with varying numbers of plants. What is the median number of plants in a household?
2 plants
2.8 plants
3 plants
4 plants
The function gg is defined by g(x)=−15x+90. What is the xx-intercept of the graph of y=g(x) in the xy-plane?
(−90,0)
(−6,0)
(6,0)
(90,0)
The function f(x)
is defined by f(x)=
.
For what value of xx
is f(x)=6?
Answer:
The function ff
is defined by f(x)=(−5)
+17.
What is the y-intercept
of the graph of y=f(x)
in the xy-plane?
(0,12)
(0,17)
(12,0)
(17,0)
3x=3
How many solutions does the given equation have?
Exactly one
Exactly two
Infinitely many
Zero
The total cost f(x), in dollars, for a 12-month gym membership is given by f(x)=12x+150, where xx is the monthly fee, in dollars. What is the total cost of the gym membership when the monthly fee is $50?
$750
$600
$850
$450
An airplane travels at a constant speed of 500 kilometers per hour. At this speed, what is the time, in hours, that it would take for the airplane to travel 2,500 kilometers?
3
5
50
2,000
=2x+6
In the given equation, c is a constant. If the equation has infinitely many solutions, what is the value of c?
2
12
18
24
Which expression is equivalent to 
?
- 
y<4x+3
y≥−3x−1
Which point (x,y) is a solution to the given system of inequalities in the xy-plane?
(−3,0)
(0;-3)
(0;3)
(3;0)
10x(x−3)−8=−5x(3x+4)
What is the sum of the solutions to the given equation?
Answer:
2
−4x+3=0
How many distinct real solutions does the given equation have?
Exactly one
Exactly two
Infinitely many
Zero
In the figure, lines m and nn are parallel. If x=4k+59 and y=k+21, what is the value of z?
20
41
139
159
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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Module II: Math
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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.