ASVAB Math FREE Sample Practice Questions

3- B
Use FOIL (first, out, in, last) method.
\((5x + 5) (2x + 6) = 10x^2 + 30x + 10x + 30 = 10x^2 + 40x + 30\) For additional educational resources, .

4- B
\(5(a–6)=22 ⇒ 5a-30=22 ⇒5a=22+30=52\)
\(⇒ 5a=52⇒a=\frac{52}{5}= 10.4 \) For additional educational resources, .

5- D
Use exponent multiplication rule:
\(x^a . x^b = x^{a + b}\)
Then:
\(3^{24}=3^8× 3^x=3^{8+x}\)
\(24 = 8 + x ⇒x=24-8=16\) For additional educational resources, .

6- A
An obtuse angle is an angle of greater than 90 degrees and less than 180 degrees. The only choice A is an obtuse angle. For additional educational resources, .

7- C
To factor the expression \(x^2 + 5 – 6\), we need to find two numbers whose sum is 5 and their product is \(-6\).
Those numbers are 6 and \(-1\). Then:
\(x^2+5-6=(x+6)(x-1)\) For additional educational resources, .

8- B
Slope of a line:\(\frac{y_2- y_1}{x_2 – x_1}=\frac{rise}{run}\)
\(\frac{y_2- y_1}{x_2 – x_1}=\frac{3- 7}{5 – 6}=\frac{-4}{-1}= 4\) For additional educational resources, .

9- C
\(\sqrt{100} = 10, \sqrt{36} = 6\)
\(10 × 6 = 60\) For additional educational resources, .

10- C
Only choice c is not equal to \(5^2\) For additional educational resources, .

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