# Full-Length TSI Math Practice Test-Answers and Explanations

Did you take the TSI Math Practice Test? If so, then it’s time to review your results to see where you went wrong and what areas you need to improve.

## TSI Mathematical Reasoning Practice Test Answers and Explanations

1- **Choice D is correct**

If \(1.05 < x ≤ 3.04\), then \(x\) cannot be equal to 3.40. Because: \(3.04<3.40\)

2- **Choice B is correct**

\(a=8⇒\) area of triangle is \(=\frac{1}{2} (8×8)=\frac{64}{2}=32\) cm

3- **Choice C is correct**

\(66^\circ + 42^\circ = 108^\circ\)

\(180^\circ – 108^\circ = 72^\circ\)

The value of the third angle is \(72^\circ\).

4-** Choice B is correct**

Simplify:

\(10 – \frac{2}{3} x ≥ 12 ⇒ – \frac{2}{3} x ≥ 2 ⇒ – x ≥ 3 ⇒ x ≤ – 3\)

5- **Choice A is correct**

Factor each trinomial \(x^2 – 2x – 8\) and \(x^2 – 6x + 8\)

\(x^2 – 2x – 8 ⇒ (x – 4)(x + 2) \)

\(x^2 – 6x + 8 ⇒ (x – 2)(x – 4) \)

\((x – 4)\) is a factor of both trinomial.

**The Absolute Best Book to Ace the TSI Math Test**

6- **Choice B is correct**

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

7- **Choice D is correct**

Use FOIL (First, Out, In, Last)

\((x + 7) (x + 5) = x^2 + 5x + 7x + 35 = x^2 + 12x + 35\)

8- **Choice A is correct**

\(\frac{54}{6}=\frac{27}{3}=9, \frac{48}{6}=\frac{24}{3}=8, \frac{36}{6}=\frac{18}{3}=6, \frac{59}{6}=\frac{59}{6} \)

59 is prime number

The answer is 54.

9- **Choice B is correct**

\(x^2 – 64 = 0 ⇒ x^2 = 64 ⇒ x = 8\)

10- **Choice C is correct**

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

11- **Choice D is correct**

tan \((– π/6) = – \frac{\sqrt{3}}{3}\)

**Best TSI Math Prep Resource for 2022**

12- **Choice A is correct**

\(\frac{\sqrt{32a^5 b^3 }}{\sqrt{2ab^2}}= \frac{4a^2 b\sqrt{2ab}}{b\sqrt{2a}} = 4a^2\sqrt{b}\)

13- **Choice D is correct**

\(E = 4 + A\)

\(A = S – 3\)

14- **Choice C is correct**

\(\begin{cases}5x + y = 9\\10x-7y= -18\end{cases} ⇒\) Multiplication \((–2)\) in first equation \(⇒ \begin{cases}-10x- 2y = -18\\10x-7y= -18\end{cases}\) Add two equations together \(⇒ –9y = –36 ⇒ y = 4\) then: \(x = 1\)

15- **Choice B is correct**

\((x – h)^2 + (y – k)^2 = r^2\) ⇒ center: (h,k) and radius: r

\((x – 3)^2 + (y + 6)^2 = 12\) ⇒ center: \((3,-6)\) and radius: \(2\sqrt{3}\)

16- **Choice D is correct**

c\((3)=(3)^2+10(3)+30=9+30+30=69 \)

\(4×3=12⇒12-69=-57⇒57,000\) loss

17- **Choice B is correct**

sinB\(=\frac{the length of the side that is opposite that angle}{the length of the longest side of the triangle}=\frac{4}{5}\)

18- **Choice C is correct**

\(-7y=-6x-12⇒y=\frac{-6}{-7} x-\frac{12}{-7}⇒y=\frac{6}{7} x+\frac{12}{7}\)

19- **Choice D is correct**

\((g – f)(x) = g(x) – f(x) = (– x^2 – 1 – 2x) – (5 + x) – x^2 – 1 – 2x – 5 – x = – x^2 – 3x – 6\)

20- **Choice B is correct**

\(\frac{|3+x|}{7}≤5⇒|3+x|≤35⇒-35≤3+x≤35⇒-35-3≤x≤35-3⇒-38≤x≤32\)

**The Best Book to Ace the TSI Math Test **

## More from Effortless Math for TSI Test …

### Are you preparing for the TSI exam and looking for a TSI Math Course?

Try The Ultimate TSI Math Course (+ FREE Worksheets & Tests)! We’re sure this is what you need.

### Need the best TSI math books to improve your math skills?

Top 10 TSI Math Prep Books (Our 2022 Favorite Picks) introduces the Best TSI Math Books on the Market.

### Do not know the guaranteed tips for success in the TSI math test?

Top 10 TSI Math Test-taking Tips will help you achieve your dream.

**The Perfect Prep Books for the TSI Math Test**

## Have any questions about the TSI Test?

Write your questions about the TSI or any other topics below and we’ll reply!

## Related to This Article

### More math articles

- How to Solve Infinite Geometric Series? (+FREE Worksheet!)
- What does PSAT Stand for?
- FTCE General Knowledge Math- Test Day Tips
- How to Multiply and Divide Integers? (+FREE Worksheet!)
- Are knowledge checks mandatory on ALEKS?
- How to Use Properties of Logarithms? (+FREE Worksheet!)
- How to Unravel the Mysteries of Infinite Limits
- Geometric perspective: A Deep Dive into Polar Coordinates
- 10 Most Common 3rd Grade PSSA Math Questions
- What Kind of Math Is on the CHSPE Test?

## What people say about "Full-Length TSI Math Practice Test-Answers and Explanations - Effortless Math: We Help Students Learn to LOVE Mathematics"?

No one replied yet.