ASVAB Math Knowledge Practice Test 348841 Results

Your Results Global Average
Questions 5 5
Correct 0 2.96
Score 0% 59%

Review

1

Solve for a:
-3a + 5 = \( \frac{a}{-9} \)

46% Answer Correctly
-1\(\frac{4}{5}\)
1\(\frac{1}{3}\)
-1\(\frac{7}{41}\)
1\(\frac{19}{26}\)

Solution

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.

-3a + 5 = \( \frac{a}{-9} \)
-9 x (-3a + 5) = a
(-9 x -3a) + (-9 x 5) = a
27a - 45 = a
27a - 45 - a = 0
27a - a = 45
26a = 45
a = \( \frac{45}{26} \)
a = 1\(\frac{19}{26}\)


2

A cylinder with a radius (r) and a height (h) has a surface area of:

54% Answer Correctly

2(π r2) + 2π rh

π r2h

4π r2

π r2h2


Solution

A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.


3

Which types of triangles will always have at least two sides of equal length?

54% Answer Correctly

equilateral, isosceles and right

isosceles and right

equilateral and isosceles

equilateral and right


Solution

An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.


4

What is 7a - 3a?

80% Answer Correctly
4a
a2
4
4a2

Solution

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

7a - 3a = 4a


5

When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).

61% Answer Correctly

vertical, supplementary

obtuse, acute

supplementary, vertical

acute, obtuse


Solution

Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).