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Module II: Math
For the function h(x)=(x−7)(x+15), find the value of x where h(x) is minimized/
−4
4
7
15
A special compound starts with a weight of 10 grams. Every 4 hours, the compound grows by 25 percent of its current weight. What will be the weight of the compound in grams after 20 hours?
12.50
15.62
30.52
48.83
A parking garage charges 15 dollars for the first hour and 10 dollars for each additional hour. What is the cost y, in dollars, for parking for x hours?
y=15+10(x−1)
y=10+15(x−1)
y=15+10x
y=10x+15
The function g is defined by g(x)=(−5)(3)x+15. What is the y-intercept of the graph of y=g(x) in the xy-plane?
Answer:
The revenue generated by two companies, Company A and Company B, are described by the quadratic equations s(x)=−2x2+40x and t(x)=−5x2+100x respectively. Find the non-zero prices dd for Company A and e for Company B where they will not make any revenue.
d=10,e=10
d=20,e=20
d=30,e=20
d=40,e=40
A rectangle has a length of 14 inches and a width of 6 inches. What is the length of its diagonal in inches?
16.1
15.
14.6
14.2
Linda made a fruit punch by mixing 4 cups of orange juice with 3 cups of mango juice. She needs to make a second batch using the same ratio of orange and mango juice. If Linda uses 8 cups of orange juice in the second batch, how much mango juice should she use if she uses the same ratio?
6
7
8
9
The number of students at a school increased from 100 in 2015 to 400 in 2025. If the number increased at a constant rate, which function models the number of students S, t years after 2015?
S(t)=30t+100
S(t)=40t+100
S(t)=300t+100
S(t)=400t+100
If 5x−3y=15 and 3x+5y=−15, find the values of x and y.
.
.
.
.
A survey polled 600 residents to determine their favorite type of music. The options were Classical and Pop music. According to the survey, 360 residents preferred Classical music. If there are 12,000 residents in the town, by how many residents is Classical music expected to be more popular than Pop music?
2,100
2,200
2,400
4,800
The area of a square is 64 square inches. What is the length of each side of the square in inches?
Answer:
A school is planning a field trip and needs to rent buses. Each bus costs 250 dollars and can hold 50 students. The school needs to transport at least 300 students. Let b represent the number of buses needed. Which of the following inequalities represents this situation for the cost of the buses and the total number of buses needed?
50b≥300,b≥6
50b≤300,b≤6
50b≥300,b≤6
50b≤300,b≥6
A mobile phone company charges 25 dollars per month plus 0.05 dollars per minute for calls. What function gives the total monthly cost C(t) for t minutes of calls used?
C(t)=0.05t
C(t)=25t
C(t)=25+0.05t
C(t)=0.05(t−25)
What is the minimum value of the function g defined by g(x)=(x+5)2−16?
Answer:
Solve for the ordered pair (x,y) in x+y=5 and x−y=x2−4?
(1,4)
(−2,−3)
(3,2)
No solution
For a circle with a circumference of 18π centimeters, what is the area of a one-fourth segment of the circle?
81π
9
Mia has a monthly budget of 600 dollars for entertainment. She plans to reduce this budget by 15% each month for the next four months to save for a trip. After these four months, she will further reduce her budget by a fixed amount of 50 dollars each month for the remaining seven months of the year. Let bn represent Mia's entertainment budget for the n-th month. Which equation can help her find her new budget bn for any month n within this year, where 1≤n≤12?
bn=600×0.85n for 1≤n≤4, - bn=bn−1−50 for 5≤n≤12
bn=15×0.85n for 1≤n≤4, - bn=bn−1−50 for 5≤n≤12
bn=600×0.15n for 1≤n≤4, - bn=bn−1−50 for 5≤n≤12
bn=60×0.85n for 1≤n≤4, - bn=bn−1−50 for 5≤n≤12
A rectangle has a length of 12 cm and a width of 5 cm. What is the length of the diagonal in cm?
Answer:
An exam has a maximum score of n points. Tom wants to score at least 70% but not more than 85% of the maximum score. Which inequality represents all possible scores p he could get?
0.7n≤p≤0.85n
0.75n≤p≤0.9n
0.65n≤p≤0.8n
0.85n≤p≤1.0n
How many positive integer factors does 36 have, including 1 and 36?
6
8
9
12
The profit P(x) of a company in dollars is represented by the equation P(x)=15x−2, where x is the number of units sold. Rounded to the nearest whole number, what is the number of units sold when the profit is 1000 dollars?
Answer:
If the total time represented by the pie chart is 9 hours, how many hours are spent on Sports?
Answer:
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.