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Math Placement Diagnostic Test
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Question 1 of 20
1. Question
What is the domain of the function
\ f\left(x\right)=x^2\frac{1}{x^24}+3x\frac{47}{x}
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Question 2 of 20
2. Question
\left(3x+12\right)\left(x^2y2xy+4y\right)=
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Question 3 of 20
3. Question
Find the solutions to the quadratic equation \left(x4\right)\left(x+\frac{3}{2}\right)=0 .
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Question 4 of 20
4. Question
What is the discriminant of the quadratic equation {7x}^2+12x+20 .
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Question 5 of 20
5. Question
Solve the following quadratic inequality \left(x+3\right)^25\le0 .
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Question 6 of 20
6. Question
Which graph below best represents the function y=({x3)}^22 ?
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Question 7 of 20
7. Question
Find the xintercepts and the vertex of the parabola y=3x^2+6x8
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Question 8 of 20
8. Question
In the cubic function graphed below, what is the sign of the x^3 term?
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Question 9 of 20
9. Question
\frac{x^22x}{\left(x+1\right)^2}\frac{12x}{\left(x+1\right)^2}=
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Question 10 of 20
10. Question
Simplify the expression \left2\ \div\ \left(7\ \ 6\right)\ 7\right5
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Question 11 of 20
11. Question
What is 1322.05131 rounded to the nearest thousandth?
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Question 12 of 20
12. Question
What percent of 72 is 9?
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Question 13 of 20
13. Question
Given that a triangle has a base of 3 and a height of 4, calculate the area.
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Question 14 of 20
14. Question
Determine the volume of the rectangular prism below:
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Question 15 of 20
15. Question
Determine the volume of a cylinder where the radius is 3 inches and the height is 4 inches.
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Question 16 of 20
16. Question
Find the product of (4)(5)
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Question 17 of 20
17. Question
Evaluate the expression given that x = 2, 5x – 3
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Question 18 of 20
18. Question
Simplify the expression by combining like terms 2\left(xy\right)+3xx^2
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Question 19 of 20
19. Question
Find an ordered pair (x,y) solution to the equation, 2x – 2y = 6
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Question 20 of 20
20. Question
A chemist needs to create 10 liters of a 25% acid solution by mixing a 10% acid solution with a 30% acid solution. How many liters of each solution should the chemist use?
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Math Placement Prep
 600+ Practice Questions
 120+ Flashcards
 Concise Study Guides
"Used this course to brush up on my math. Scored well and tested out of my math course."
Math Placement Exam Overview
Math placement exams are primarily used by colleges and universities to determine which math course you should be placed in.
Topics Tested:
 Fractions
 Decimals
 Percents and Proportions
 Geometry
 Word Problems
 Sets of Numbers, Signed Numbers, and Operations
 Linear Equations and Inequalities
 Lines and Graphing
 Relations and Functions
 Radicals and Rational Exponents
 Exponentials and Logarithms
 Trigonometry
Length and Format:
The length and format of your specific math placement test will depend on your college or university. The following items can vary from school to school:
 Number of Questions
 Time Limits
 Calculator or No Calculator
 Adaptive or NonAdaptive
It will be important to check with your specific school to get a better idea of what to expect from a formatting standpoint.
With that in mind, the topics tested will be the same for almost all math placement exams.
Practice for the Math Placement Exam with the Right Tools
1. Simulated Exams
One of the best ways to prepare for the real thing is by using simulated exams. Our exams are built using the same types of questions you will see on the actual exam.
Our team has developed questions that mimic the exact topics that you will be tested on. Our detailed answer explanations will help you learn how to solve each question as well.
2. Concise Study Guides / Cheat Sheets
We hate wasting time, and so should you. Our study guides / cheat sheets review only the most important concepts you need to know.
We touch on the most important concepts in an easytounderstand way. We use examples to help you learn each concept and keep them short and sweet.
3. Question Banks
If you want to practice in a stressfree environment, then our question banks are perfect for you. Our question banks allow you to answer a question and immediately see the answer and explanation right after.
You can really take your time when using our question banks to learn key concepts that will be tested on your math placement exam. You can also start and stop as you please when using the question banks.
4. Detailed Answer Explanations
You will find that all of the 600+ practice questions in our math placement test prep course include detailed answer explanations. Each explanation will walk you through the steps to solve the problem.
Use these explanations to learn important concepts or a more efficient way to solve a specific type of problem.
Tips and Tricks for Math Placement Practice
Studying for the math placement exam can feel overwhelming. Use these tips and tricks to help you prepare:
 See Where You Stand: Take our free college math placement test above and see where you stand. You may be all ready and good to go for the real exam.
 Find Problem Areas: We recommend finding problem areas so you can focus on those areas when you are studying. For example, if you struggle with linear equations, you should start your studies there.
 Practice, Practice, Practice: When it comes to math, you can never have too much practice. As you continue to do problems, you will find it easier to solve different types of math problems. Make sure you pay attention to the answer explanations when solving problems to help you better understand.
Frequently Asked Questions
The number of questions will vary depending on your specific college or university. Some schools may include a lot of questions, while others will keep it shorter.
A typical number is 40 questions.
You can expect to find questions on the following topics:
 Fractions
 Decimals
 Percents and Proportions
 Geometry
 Word Problems
 Sets of Numbers, Signed Numbers, and Operations
 Linear Equations and Inequalities
 Lines and Graphing
 Relations and Functions
 Radicals and Rational Exponents
 Exponentials and Logarithms
 Trigonometry
This will depend on your college or university. Some schools do not allow you to use a calculator while others will provide you with an onscreen calculator when you are taking the exam.
Yes, we recommend you study for a placement test.
Doing well on this exam can help you test out of specific college courses, which will make your life easier in the longrun.
You typically will not be able to retake the placement test. The placement test is designed to place you into the correct math course. A retake defeats the whole purpose of that.
You will get unlimited access for 90 days to our prep course. You will receive the following prep materials:
 10 Simulated Exams
 600+ Practice Questions
 120+ Flashcards
 Concise Study Guides / Cheat Sheets
 Question Banks