Full-Length ALEKS Math Practice Test

Full-Length ALEKS Math Practice Test

Taking a Full-length ALEKS Math practice test is the best way to help you get familiar with the test format and feel more confident. Not only will this help you measure your exam readiness and solidify the concepts you’ve learned, but it is the best way to simulate test day.
To help you get the best out of this complete and realistic ALEKS Math practice test and prepare your mind and body for the actual test, we recommend that you treat this practice test as a real test. Prepare scratch papers, a pencil, a timer, and a calculator and take the test in one sitting and follow the time limits to the minute.
Take the following full-length ALEKS Math practice test to simulate the test day experience. After you’ve finished, score your tests using the answer keys.
Good luck!

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Time to refine your skill with a practice examination

Take a REAL ALEKS Mathematics test to simulate the test day experience. After you’ve finished, score your test using the answers and explanations section.

Before You Start

  • You’ll need a pencil and scratch paper to take the test.
  • For these practice tests, don’t time yourself. Spend time as much as you need.
  • After you’ve finished the test, review the answer key to see where you went wrong.

Good Luck!

ALEKS Mathematical Practice Test

30 questions
Total time for this section: No time limit
You can use a basic calculator on this test.
(On a real ALEKS test, there is an onscreen calculator to use on some questions.)

1- A taxi driver earns $7 per 1-hour work. If he works 8 hours a day and in 1 hour he uses 1.5-liters petrol with the price of $1.5 for 1-liter. How much money does he earn in one day?



2- What is the value of \(5.12×4.3\)?



3- \(25\%\) of what number is equal to 85?



4- The price of a car was $32,000 in 2014, $24,000 in 2015 and $18,000 in 2016. What is the rate of depreciation of the price of a car per year?



5- The price of a sofa is decreased by \(13\%\) to $426.3. What was its original price?



6- If \(30\%\) of a class are girls, and \(50\%\) of girls play tennis, what percent of the class play tennis?



7- If \(80\%\) of A is \(40\%\) of B, then B is what percent of A?



8- How long does a 390–miles trip take moving at 60 miles per hour (mph)?



9- 84 is What percent of 70?



10- What is the value of \(1.78+3.045+2.007\)?



11- Right triangle ABC has two legs of lengths 8 cm (AB) and 15 cm (AC). What is the length of the third side (BC)?



12- An angle is equal to two-ninths of its supplement. What is the measure of that angle?



13- John traveled 210 km in 7 hours and Alice traveled 175 km in 5 hours. What is the ratio of the average speed of John to the average speed of Alice?



14- A taxi driver earns $8.5 per 1-hour work. If he works 10 hours a day and in 1 hour he uses 3-liters petrol with the price of $1.5 for 1-liter. How much money does he earn in one day?



15- When a number is subtracted from 45 and the difference is divided by that number, the result is 4. What is the value of the number?



16- The width of a box is one-fourth of its length. The height of the box is one second of its width. If the length of the box is 40 cm, what is the volume of the box?



17-How many possible outfit combinations come from four shirts, fifth slacks, and seven ties?



18-If the area of the trapezoid is 300 cm, what is the perimeter of the trapezoid?




19- An integer is chosen at random from 5 to 30. Find the probability of not selecting a composite number?



20-A boat sails 10 miles south and then 24 miles east. How far is the boat from its start point?



21- If \((ax+3)(bx-4)=-6x^2+2cx-12\) for all values of \(x\) and \(a+b=5\), what are the two possible values for c?



22-If \(f(x)\) = \(7x+2(1-x)\) then \(f(3x)\)=?



23-Calculate \(f(-4)\) for the following function \(f\).
\(f(x)=2x^2+4x+1\)



24-Given a right triangle ∆ABC whose n∠B=\(90^\circ\),\(sin⁡C=\frac{3}{5}\), find \(cos\)⁡ A?






25- What is the equation of the following graph?



26-If \(\frac{7}{x}=\frac{21}{x+4}\) what is the value of\(-\frac{x}{3}\)?



27-A function g(6)=8 and g(2)=7. A function f(7)=9 and f(8)=12. What is the value of f(g(6))?



28-What is the area of the following equilateral triangle if the side AB = 14 cm?





29-A function \(g(x)\) satisfies \(g(3)=8\) and \(g(4)=10\). A function \(f(x)\) satisfies \(f(8)=12\) and \(f(10)=4\)0.What is the value of \(f(g(4))\)?



30- \(x^2+y^2-6x+4y=4\)
The equation of a circle in the plane is shown above. What is the radius of the circle?



Answers and Explanations

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