ASVAB Math Knowledge Practice Test 700298 Results

Your Results Global Average
Questions 5 5
Correct 0 3.25
Score 0% 65%

Review

1

To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?

84% Answer Correctly

Last

Inside

Odd

First
Solution

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses.

2

Solve for x:
x2 + 3x - 4 = 0

59% Answer Correctly
9 or 4
1 or -4
6 or 2
1 or -5
Solution

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

x2 + 3x - 4 = 0
(x - 1)(x + 4) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (x - 1) or (x + 4) must equal zero:

If (x - 1) = 0, x must equal 1
If (x + 4) = 0, x must equal -4

So the solution is that x = 1 or -4

3

If side x = 15cm, side y = 8cm, and side z = 9cm what is the perimeter of this triangle?

85% Answer Correctly
32cm
30cm
26cm
31cm
Solution

The perimeter of a triangle is the sum of the lengths of its sides:

p = x + y + z
p = 15cm + 8cm + 9cm = 32cm

4

The dimensions of this cylinder are height (h) = 8 and radius (r) = 3. What is the surface area?

48% Answer Correctly
154π
90π
66π
6π
Solution

The surface area of a cylinder is 2πr2 + 2πrh:

sa = 2πr2 + 2πrh
sa = 2π(32) + 2π(3 x 8)
sa = 2π(9) + 2π(24)
sa = (2 x 9)π + (2 x 24)π
sa = 18π + 48π
sa = 66π

5

For this diagram, the Pythagorean theorem states that b2 = ?

47% Answer Correctly

c2 - a2

a2 - c2

c2 + a2

c - a
Solution

The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)