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TSI Mathematical Practice Test

2 Sections – 20 questions
Total time for two sections: No Time Limit
You may NOT use a calculator on this section.

Section 1:
Arithmetic and Elementary Algebra

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 of petrol at a price of \($1.5\) for 1 liter. How much money does he earn in one day?

A. \($38\)

B. \($43\)

C. \($52\)

D. \($60\)

2- What is the value of \(5.12×4.3\)?

A. 17.768

B. 18.08

C. 21.568

D. 22.016

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

A. 11.25

B. 112.50

C. 340

D. 500

4- Which of the following is greater than \(\frac{15}{7}\)?

A. \(\frac{9}{4}\)

B. \(\frac{3}{2}\)

C. \(\frac{3}{4}\)

D. 1.5

5- Which of the following inequalities is true?

A. \(\frac{4}{5}<\frac{11}{15}\)

B. \(\frac{15}{21}<\frac{6}{7}\)

C. \(\frac{4}{5}<\frac{16}{25}\)

D. \(\frac{9}{7}<\frac{4}{7}\)

6- 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?

A. \(10\%\)

B. \(15\%\)

C. \(20\%\)

D. \(25\%\)

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

A. \($420\)

B. \($490\)

C. \($550\)

D. \($600\)

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

A. \(10\%\)

B. \(15\%\)

C. \(20\%\)

D. \(40\%\)

9- Which of the following is closest to 7.025?

A. 5

B. 5.5

C. 6

D. 7

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

A. 4 hours

B. 6 hours and 24 minutes

C. 6 hours and 30 minutes

D. 8 hours and 30 minutes

Section 2:
College–Level Mathematics

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

A. \(20x+6\)

B. \(15x-6\)

C. \(15x+2\)

D. \(27x+2\)

12- A line in the \(xy\)-plane passes through the origin and has a slope of \(\frac{2}{5}\). Which of the following points lies on the line?

A. \((5,1)\)

B. \((4,-1)\)

C. \((9,10)\)

D. \((15,6)\)

13- Which of the following is equivalent to \((4n^2-5n+12)-(3n^2-4n)\)?

A. \(n+4n^2\)

B. \(n^2-n+12\)

C. \(n^2+2n+12\)

D. \(n+2\)

14- If \(3x+2y=0, 3x-4y=6\), which of the following ordered pairs \((x,y)\) satisfies both

A. \((\frac{2}{3},-1)\)

B. \((5,-4)\)

C. \((4,-4)\)

D. \((\frac{5}{3},-6)\)

15- John buys a pepper plant that is 8 inches tall. With regular watering, the plant grows 5 inches a year. Writing John’s plant’s height as a function of time, what does the y-intercept represent?

A. The y-intercept represents the rate of growth of the plant, which is 5 inches

B. The y-intercept represents the starting height of 6 inches

C. The y-intercept represents the rate of growth of a plan,t which is 3 inches per year

D. There is no y-intercept

16- In the \(xy\)-plane, if (1, 2) is a solution to the system of inequalities above, which of the following relationships between a and b must be true?
\(y>-a-x , y>x+b\)

A. \(a<b\)

B. \(a>b\)

C. \(a=b\)

D. \(a= b+ a\)

17- Which of the following points lies on the line that goes through the points \((1,-5)\) and \((-3,7)\)?

A. \((2,-3)\)

B. \((5,-12)\)

C. \((-4,10)\)

D. \((3,-6)\)

18- If \(x≠-4\) and \(x≠9\), which of the following is equivalent to \(\frac{1}{\frac{1}{x+4}+\frac{1}{x-9}}\)?

A. \(\frac{(x-9)-(x+4)}{(x-9)+(x+4)}\)

B. \(\frac{(x-9)(x+4)}{(x+4)+(x-9}\)

C. \(\frac{(x+4)(x-9)}{(x+4)-(x+5)}\)

D. \(\frac{(x+4)+(x-9)}{(x+4)-(x-9}\)

19- Which of the following is an equation of a circle in the xy-plane with center \((1,-2)\) and a radius with endpoint \((\frac{1}{3},2)\)?

A. \((x-1)^2+(y+2)^2=\frac{148}{9}\)

B. \(x^2+(y+2)^2=\frac{148}{9}\)

C. \((x-1)^2+(y-2)^2=\frac{148}{9}\)

D. \(x^2+(y-2)^2=\frac{148}{9}\)

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

A. \(\frac{-1}{2}\)

B. \(\frac{1}{2}\)

C. \(\frac{3}{5}\)

D. \(\frac{4}{5}\)

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