# 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.

$14.99 Satisfied 85 Students 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$14.99
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