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Module II: Math
Simplify the given expression (y+7)+(3y−4). Which of the following is equivalent to the given expression?
4y+3
4y+11
3y+3
4y−11
3×∣3−x∣=60. What is the positive solution to the given equation?
23
22
4
3
For the quadratic function g(x)=x2+bx+16, if the function has no real zeros, what is a possible range for b?
−8<b<8
b<−8
b>8
No range, b can be any real number
A rectangular container has a length of 10 feet, a width of 5 feet, and a height of 4 feet. A spherical object with a radius of 2 feet is inside the container. To the nearest cubic foot, what is the volume of the space in the container not occupied by the object?
81
103
123
166
Linda bought a coat at a 30 percent discount. She paid 70 dollars for the coat. What was the original price of the coat in dollars?
149
100
91
43
If 5 times a number plus 3 is 23, what is the number?
Answer:
Sara usually jogs 20 miles a week. To increase her endurance, she wants to jog an additional m miles each week to reach a target of 50 miles a week. Which equation can help her determine m?
m+20=50
m−20=30
m=50/20
m=50+20
A square banner has an area of 64 square feet. A larger replica of the banner is made where the sides of the original banner are each increased by 50%. What is the area of the replica banner, in square feet?
96
128
132
144
Given the graph of a quadratic function above, which of the following represents the vertex of the function?
(−10,140)
(−2,4)
(0,20)
(2.5,0)
If g(x)=x2−6 and h(x)=3x+2, what is h(g(2))?
-4
-2
2
4
In a survey of 200 people, 50 said they preferred tea over coffee. What percentage of the surveyed people prefer tea?
20%
25%
30%
35%
If 
=3 and 
=6, what is the value of m?
Answer:
A jar contains 10 orange candies, 7 lemon candies, and 13 cherry candies. If a candy is randomly selected, what is the probability that it is not lemon flavored?
10/30
12/30
23/30
33/30
If 5(3x−2)=3(3x−2)+10, what is 3x−2?
Answer:
Given the function f(x)=x2+3x and f(x)=48, what is a solution for x?
x=− 
x=− 
x= 
x= −
A conical flask has a radius of 3 inches and a height of 9 inches. What is the volume, in cubic inches, of this flask?
17π
27π
36π
81π
Each year, the value of a piece of machinery depreciates by 15% of its value from the previous year. Which of the following functions best models how the value of the machinery changes over time?
Decreasing exponential
Decreasing linear
Increasing exponential
Increasing linear
A line has a slope of 2 and passes through the point (1, 3). What is the equation of the line?
y=2x+1
y=2x−1
y=2x+3
y=2x−3
Julia baked 60 muffins for a school event. She arranged them on p small trays and q large trays. The equation 5p + 10q = 60 represents this situation. What does 10q represent?
The number of large trays Julia used
The number of small trays Julia used
The total number of muffins on the large trays
The total number of muffins on the small trays
Solve ∣5x+3∣=28 and find the positive value of 4x−2.
Answer:
x+y=9, 3x−y=4. What is the value of 3x+3y?
18
21
24
27
A function f(x)=x2−5x+6 is plotted on the xy-plane. Which of the following is a factor of f(x)?
−x−2
x+2
x−3
-x-3
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.