Top 10 TSI Math Practice Questions

Top 10 TSI Math Practice Questions

Taking the TSI Math test in a few weeks or even in a few days? The best way to prepare for your TSI Math test is to work through as many TSI Math practice questions as possible. Here are the top 10 TSI Math practice questions to help you review the most important TSI Math concepts. These TSI Math practice questions are designed to cover mathematics concepts and topics that are found on the actual test. The questions have been fully updated to reflect the latest 2022 TSI guidelines. Answers and full explanations are provided at the end of the post.

Start your TSI Math test prep journey right now with these sample TSI Math questions.

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TSI Math Practice Questions

1- \((x + 7) (x + 5) = ?\)

A. \(x^2 + 12x + 12\)

B. \(2x + 12x + 12\)

C. \(x^2 + 35x + 12\)

D. \(x^2 + 12x + 35\)

2- If \(x\) is a positive integer divisible by 6, and \(x<6\), what is the greatest possible value of \(x\)?

A. 54

B. 48

C. 36

D. 59

3- \(x^2 – 81 = 0\) , \(x\) could equal to:

A. 6

B. 9

C. 12

D. 15

4- If \(a = 8\), what is the value of \(b\) in this equation?
\(b=\frac{a^2}{4}+4\)

A. 24

B. 22

C. 20

D. 28

5- If \(6.5 < x ≤ 9.0\), then \(x\) cannot be equal to:

A. 6.5

B. 9

C. 7.2

D. 7.5

6- What is the area of an isosceles right triangle that has one leg that measures 6 cm?

A. 18 cm

B. 36 cm

C. 6 \(\sqrt{2}\) cm

D. 72 cm

7- Which of the following expressions is equivalent to \(10 – (\frac{2}{3}) x ≥ 12\)

A. \(x ≥ –3\)

B. \(x ≤ –3\)

C. \(x ≥ 24 \frac{1}{3}\)

D. \(x ≤24 \frac{1}{3}\)

8- Which of the following is a factor of both \(x^2 – 2x – 8\) and \(x^2 – 6x + 8\)?

A. \((x – 4)\)

B. \((x +4)\)

C. \((x – 2)\)

D. \((x +2)\)

9- \(\frac{1}{6b^2} + \frac{1}{6b} = \frac{1}{b^2}\), then \(b = ?\)

A. \(-\frac{16}{15}\)

B. 5

C. \(-\frac{15}{16}\)

D. 8

10- If two angles in a triangle measure 53 degrees and 45 degrees, what is the value of the third angle?

A. 8 degrees

B. 42 degrees

C. 82 degrees

D. 98 degrees

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Answers:

1- D
Use FOIL (First, Out, In, Last)
\((x + 7) (x + 5) = x^2 + 5x + 7x + 35 = x^2 + 12x + 35\)

2- A
\(\frac{54}{6}=\frac{27}{3}=9\)
\(\frac{48}{6}=\frac{24}{3}= 8\)
\(\frac{36}{6}=\frac{18}{3}=6\)
\(\frac{59}{6}=\frac{59}{6}\)
59 is prime number

3- B
\(x^2 – 81 = 0\) ⇒ \(x^2 = 81\) ⇒ \(x = 9\)

4- C
If \( a = 8\) then \(b =\frac{8^2}{4} + 4\) ⇒ \(b = \frac{64}{4} + 4\) ⇒ \(b = 16 + 4 = 20\)

5- A
If \(6.5 < x ≤ 9.0\), then x cannot be equal to 6.5

6- A
\(a=6\)⇒ area of triangle is \(=\frac{1}{2} (6×6)=\frac{36}{2}=18\) cm

7- B
Simplify:
\(10 – \frac{2}{3} x ≥ 12\) ⇒\( – \frac{2}{3}2 x ≥ 2\) ⇒ \(– x ≥ 3 ⇒ x ≤ – 3\)

8- A
Factor each trinomial \(x^2 – 2x – 8\) and \(x^2 – 6x + 8 \)
\(x^2 – 2x – 8\) ⇒ \((x – 4)(x + 2)\)
\(x^2 – 6x + 8\) ⇒ \((x – 2)(x – 4)\)

9- B

\(\frac{1+b}{6b^2}=\frac{1}{b^2}\)
⇒\((b≠0) b^2+b^3=6b^2\)⇒\(b^3-5b^2=0\)⇒\(b^2 (b-5)=0\)⇒\(b-5=0⇒b=5\)

10- C
\(53^\circ + 45^\circ = 98^\circ\)
\(180^\circ – 98^\circ = 82^\circ\)
The value of the third angle is \(82^\circ\).

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