Đăng nhập để tiếp tục
Phương pháp 1 : Đăng ký vào website
Nếu bạn chưa có tài khoản hãy đăng ký để trải nghiệm dịch vụ.
Phương pháp 2 : Đăng nhập vào website
Khi đăng nhập vào website bạn sẽ có trải nghiệm dịch vụ tốt hơn.
Module I: Math
The function h(x) is defined by h(x)=(x−5)(x+2)(x−6). In the xy-plane, the graph of y=k(x) is the result of translating the graph of y=h(x) up 4 units. What is the value of k(3)?
10
14
18
34
Solve for the greater of the two
solutions x of the equation 
.
−
−9
6
12
If x2+5x+k=0 has two distinct real roots, what must k be less than?
Answer:
As of January 1, 2023, there were 250 hybrid car owners in New York. By June 1, 2023, this number increased to 300. Assuming that a randomly selected car owner in New York on June 1, 2023, has a 0.35 probability of owning a Prius, how many Prius owners, denoted by n, were there in New York on that date?
Answer:
Let g(t)=9000×(0.65)(t/12) signify the value of a piece of artwork, in dollars, t months after its purchase. If the artwork loses r% of its value each year, find r.
Answer:
The function h is defined by h(y)=4y. For what value of y is h(y)=32?
Answer:
The side length of square A is 200 times less than the side length of square B. By how many times is the area of square B greater than the area of square A?
Answer:
A car is traveling at a variable speed along a highway. The equation d=30t2+20t gives the distance d, in meters, from a starting point, that the car will be t seconds after starting. How many meters from the starting point will the car be 5 seconds after starting?
Answer:
A rectangular prism has dimensions of 1 inch in length, 3 inches in width, and 3 inches in height. What is the total surface area of the prism in square inches?
Answer:
x2+3x−10=0. What is the positive root of this equation?
Answer:
In the xy-plane, a circle is graphed by the equation x2+y2+6x−4y=36. What is the radius of this circle?
5
6
7
8
A rectangle has a length that is 4 times its width. If the perimeter of the rectangle is 90 cm, what is the length of the rectangle in cm?
15
20
25
36
In a regional poll, Proposal X receives a 55% approval rating with a margin of error of 4%. A different poll for Proposal Y gets a 60% approval rating but has a margin of error of 2%. Both polls use the same margin of error methodology. What can be inferred about the sample sizes of the polls?
The poll for Proposal X had a larger sample size than Proposal Y.
The poll for Proposal X had a smaller sample size than Proposal Y.
The sample sizes for both proposals were the same.
The sample sizes cannot be determined from the given data.
The pie chart illustrates the distribution of a household's monthly budget across five categories: Groceries, Rent, Utilities, Transportation, and Entertainment. The chart shows the following distribution: Groceries 30%, Rent 40%, Utilities 10%, Transportation 15%, Entertainment 5%. Based on the pie chart, which three categories constitutes the largest portion of the household's monthly budget?
Groceries, Rent, Utilities
Groceries, Rent, Transportation
Rent, Transportation, Entertainment
Groceries, Entertainment, Utilities
5x−2y=7, ty=2−4x. In this system, t is a constant. If there is no solution, t =?
5
2
−0.5
−1.6
Given the function h(x)=−3(x−2)2+9, find the value of the constant d such that the graph of y=h(x) intersects the liney=d at exactly one point.
Answer:
Consider the equation (qx+7)(9x2−ux+8)=162x3−189x2+56x+56. Find the product of the constants q and u if the equation holds for all x.
Answer:
A rectangular banner has an area of 80 square feet. A larger replica of the banner is made where the length and width of the original banner are each increased by 60%. What is the area of the replica banner, in square feet?
204.8
208.5
210.2
212.5
In a science class of 40 students, 30% participated in a science fair. Assuming there are 1,800 science classes in the district, each with an average of 40 students, how many students in total did not participate in the science fair?
42,000
50,400
54,000
60,000
In a technology company, 20 employees have an average experience of 8 years. After two new employees with 5 years of experience each join, what is the new average experience of all employees?
7.5
7.7
7.9
8.1
The boxplot graph represents the distribution of values across five different groups (A, B, C, D, E). Each boxplot shows the quartiles of the dataset while the whiskers extend to show the rest of the distribution, except for points that are determined to be “outliers” using a method that is a function of the inter-quartile range. Based on the boxplot, which group exhibited the greatest variability in values?
Group A
Group B
Group D
Group E
At the time that a spacecraft was first launched into space, it was traveling at a speed of 1000 meters per second. An exponential model estimates that the speed of the spacecraft increases by 20 percent at the end of each hour after it was launched. Which of the following equations best represents this model, where S is the estimated speed of the spacecraft t hours after it was first launched and t≤5?
S=1000(1.2)t
S=1000(1.02)t
S=1000(2)t
S=1000(1.8)t
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 I: Math
Unanswered
For Review
-
1
-
2
-
3
-
4
-
5
-
6
-
7
-
8
-
9
-
10
-
11
-
12
-
13
-
14
-
15
-
16
-
17
-
18
-
19
-
20
-
21
-
22
Guest
Module I: Math
Current
Unanswered
For Review
-
1
-
2
-
3
-
4
-
5
-
6
-
7
-
8
-
9
-
10
-
11
-
12
-
13
-
14
-
15
-
16
-
17
-
18
-
19
-
20
-
21
-
22
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.