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Module I: Math
If y = 10, what is the value of y + 15?
5
15
25
30
Of 1,200,000 marbles, 1,104,000 are blue.
What percentage of the marbles are blue?
74%
80%
85%
92%
Which expression is equivalent to x2 + 3x − 18?
( x – 3 ) ( x + 6 )
( x + 2 ) ( x − 9 )
( x − 6 ) ( x + 3 )
( x + 9 ) ( x − 2 )
A ship had 20,000 kilograms (kg) of food supplies before the voyage. Exactly 25 days into the voyage, 15,000 kg of these supplies remained. On average, approximately how much food, in kg, did the ship consume each day?
100
200
400
600
To estimate the proportion of a population that enjoys classical music, a random sample was selected from the population. It is estimated that the proportion of the population that enjoys classical music is 0.30, with an associated margin of error of 0.03. Based on this estimate and margin of error, which of the following is the most appropriate conclusion about the proportion of the population that enjoys classical music?
It is plausible that the proportion is less than 0.27.
The proportion is exactly 0.30.
It is plausible that the proportion is between 0.27 and 0.33.
It is plausible that the proportion is greater than 0.33.
= x
What is the positive solution to the given equation?
Answer:
An airplane ascends from an altitude of 3,500 feet to 8,000 feet at a constant rate of 500 feet per minute. What type of function best models the relationship between the ascending airplane's altitude and time?
Increasing linear
Decreasing linear
Increasing exponential
Decreasing exponential
|
x |
5 |
10 |
15 |
20 |
|
f(x) |
9 |
19 |
29 |
39 |
The table below shows four values of x and their corresponding values of f(x). There is a linear relationship between x and f(x). What is the slope of the line that represents this relationship?
Answer:
The population of lions in a reserve in 2020 was 1.35 times the population of lions in the same reserve in 2016. If the population of lions in 2016 is p% of the population of lions in 2020, what is the value of p, to the nearest whole number?
135
35
65
74
The graph of (x+3)2+(y−4)2=25 in the xy-plane is a circle centered at ( a, b ) with a radius of c. What is the value of a + b + c?
Answer:
The function ff is defined by f (x) = 10(0.1)x-1. What is the value of f (2)?
0.01
0,1
1
10
The scatterplot shows the relationship between two variables, x and y. A line of best fit for the data is also shown.
At x=9.5, which of the following is closest to the y-value predicted by the line of best fit?
8.2
9.5
10.4
11.9
The equation x2 + y2 = 25 represents Circle A. Circle B is obtained by shifting Circle A down 2 units in the xy-plane. Which of the following equations represents Circle B?
x2 + ( y + 2 )2 = 25
x2 + ( y - 2 )2 = 25
( x + 2 )2 + y2 = 25
(x – 2 )2 + y2 = 25
The maximum value of a is 7 more than 4 times another number b. Which inequality shows the possible values of a?
a ≤ 4b + 7
a ≥ 4b + 7
a < 4b + 7
a > 4b + 7
The function g(t)=20,000(2)
gives the number of viruses in a population t minutes after an initial observation. How much time, in minutes, does it take for the number of viruses in the population to double?
Answer:
At how many points do the graphs of the equations y = 2x + 5 and 5y = 10x intersect in the xy-plane?
0
1
2
Infinitely many
Circle A in the xy-plane has the equation ( x + 4 )2 + ( y – 3 )2 = 9. Circle B has the same center as Circle A. The radius of Circle B is two times the radius of Circle A. The equation defining Circle B in the xy-plane is (x+4)2+(y−3)2=k where k is a constant. What is the value of k?
Answer:
In the xy-plane, line l passes through the point (0,0)and is parallel to the line represented by the equation y=5x+4. If line l also passes through the point (4,d), what is the value of d?
Answer:
f(x) = 8x2 + 80x + 192
The function g is defined by g (x) = f ( x + 5 ). For what value of x does g(x) reach its minimum?
−10
−6
−5
−4
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.