ASVAB Math Knowledge Practice Test 318984 Results

Your Results Global Average
Questions 5 5
Correct 0 2.91
Score 0% 58%

Review

1

Solve for y:
y2 - 6y + 0 = -5y + 2

48% Answer Correctly
4 or -4
-1 or 2
5 or -5
6 or -2

Solution

The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:

y2 - 6y + 0 = -5y + 2
y2 - 6y + 0 - 2 = -5y
y2 - 6y + 5y - 2 = 0
y2 - y - 2 = 0

Next, factor the quadratic equation:

y2 - y - 2 = 0
(y + 1)(y - 2) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (y + 1) or (y - 2) must equal zero:

If (y + 1) = 0, y must equal -1
If (y - 2) = 0, y must equal 2

So the solution is that y = -1 or 2


2

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

53% Answer Correctly

4π r2

π r2h

2(π r2) + 2π rh

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

isosceles and right

equilateral, 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

Simplify (9a)(9ab) + (2a2)(2b).

65% Answer Correctly
85a2b
-77ab2
77ab2
85ab2

Solution

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(9a)(9ab) + (2a2)(2b)
(9 x 9)(a x a x b) + (2 x 2)(a2 x b)
(81)(a1+1 x b) + (4)(a2b)
81a2b + 4a2b
85a2b


5

On this circle, line segment AB is the:

70% Answer Correctly

circumference

radius

chord

diameter


Solution

A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).