TSI Math Practice Test Questions

TSI Math Practice Test Questions

These TSI Math practice questions are designed to be similar to those found on the real TSI Math test. They will assess your level of preparation and will give you a better idea of what to study for your exam. For additional educational resources, .

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d he receive?

A. $76.52

B. $11.48

C. $32.08

D. $12.58

9- Simplify \(\frac{\frac{1}{2}-\frac{x + 5}{4}}{\frac{x^2}{2}-\frac{5}{2}}\)

A. \(\frac{3 – x}{x^2 – 10}\)

B. \(\frac{3 – x}{2x^2 – 10}\)

C. \(\frac{3 + x}{x^2 – 10}\)

D. \(\frac{-3 – x}{2x^2 – 10}\)

10- \(\sqrt{47}\) is between which two whole numbers?

A. 3 and 4

B. 4 and 5

C. 5 and 6

D. 6 and 7

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Answers:

1- C
Use FOIL (First, Out, In, Last)
\((x – 4) (x^2 + 5x + 4) = x^3 + 5x^2 + 4x – 4x^2 – 20x – 16
= x^3 + x^2 – 16x – 16\)

2- A
Number of squares equal to:\(\frac{54×12}{3×3}=18×4=72\)

3- B
Simplify:
\(7 + 2x ≤ 15 ⇒ 2x ≤ 15 – 7 ⇒ 2x ≤ 8 ⇒ x ≤ 4\)

4- D
\(\frac{a + b}{2}= 8 ⇒ a + b = 16\)
\(\frac{a + b + c}{3} = 9 ⇒ a + b +c = 27\)
\(16 + c = 27 ⇒ c = 27 – 16 = 11\)

5- C
\(7^7 × 7^8 = 7^{7 + 8 }= 7^{15}\)

6- B
Underline the tenth place:
\(5231.48245\)
Look to the right if it is 5 or above, give it a shove.
Then, round up to 5231.5

7- B
\(75 × \frac{x}{100} = 15 ⇒ 75 × x = 1500 ⇒ x = \frac{1500}{75} = 20\)

8- B
\($44 – $32.52 = $11.48\)

9- D
Simplify:
\( \frac{\frac{1}{2}-\frac{x + 5}{4}}{\frac{x^2}{2}-\frac{5}{2}}=\frac{\frac{1}{2}-\frac{x + 5}{4}}{\frac{x^2 – 5}{2}}=\frac{2(\frac{1}{2}-\frac{x + 5}{4})}{x^2 – 5}\)
⇒Simplify:
\(\frac{1}{2} – \frac{x + 5}{4}=\frac{- x – 3}{4}\)
then:
\(\frac{2(\frac{-x – 3}{4})}{x^2 – 5}=\frac{\frac{-x – 3}{2}}{x^2 – 5}=\frac{- x – 3}{2(x^2 – 5)}=\frac{- x – 3}{2x^2 – 10}\)

10- D
\( \sqrt{47} = 6.85565…\)
then: \(\sqrt{47}\) is between 6 and 7

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