ASVAB Math Knowledge Practice Test 921048 Results

Your Results Global Average
Questions 5 5
Correct 0 3.18
Score 0% 64%

Review

1

Solve for y:
y2 - 3y - 54 = 0

58% Answer Correctly
-1 or -6
6 or 3
2 or -6
-6 or 9

Solution

The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:

y2 - 3y - 54 = 0
(y + 6)(y - 9) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (y + 6) or (y - 9) must equal zero:

If (y + 6) = 0, y must equal -6
If (y - 9) = 0, y must equal 9

So the solution is that y = -6 or 9


2

A(n) __________ is to a parallelogram as a square is to a rectangle.

51% Answer Correctly

triangle

rhombus

trapezoid

quadrilateral


Solution

A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.


3

A quadrilateral is a shape with __________ sides.

90% Answer Correctly

4

5

2

3


Solution

A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.


4

Simplify (5a)(9ab) + (8a2)(8b).

65% Answer Correctly
-19ab2
109a2b
224a2b
224ab2

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.

(5a)(9ab) + (8a2)(8b)
(5 x 9)(a x a x b) + (8 x 8)(a2 x b)
(45)(a1+1 x b) + (64)(a2b)
45a2b + 64a2b
109a2b


5

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

53% Answer Correctly

2(π r2) + 2π rh

π r2h

π r2h2

4π r2


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.