ASVAB Math Knowledge Practice Test 69611 Results

Your Results Global Average
Questions 5 5
Correct 0 3.00
Score 0% 60%

Review

1

Solve for a:
a2 - 3a - 1 = -a - 2

48% Answer Correctly
1
-3 or -6
-1 or -3
-8 or -9
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:

a2 - 3a - 1 = -a - 2
a2 - 3a - 1 + 2 = -a
a2 - 3a + a + 1 = 0
a2 - 2a + 1 = 0

Next, factor the quadratic equation:

a2 - 2a + 1 = 0
(a - 1)(a - 1) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, (a - 1) must equal zero:

If (a - 1) = 0, a must equal 1

So the solution is that a = 1

2

This diagram represents two parallel lines with a transversal. If b° = 141, what is the value of c°?

73% Answer Correctly
166
140
19
39
Solution

For parallel lines with a transversal, the following relationships apply:

  • angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°)
  • alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°)
  • all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other
  • same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°)

Applying these relationships starting with b° = 141, the value of c° is 39.

3

If angle a = 38° and angle b = 41° what is the length of angle d?

56% Answer Correctly
155°
142°
151°
134°
Solution

An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:

d° = b° + c°

To find angle c, remember that the sum of the interior angles of a triangle is 180°:

180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 38° - 41° = 101°

So, d° = 41° + 101° = 142°

A shortcut to get this answer is to remember that angles around a line add up to 180°:

a° + d° = 180°
d° = 180° - a°
d° = 180° - 38° = 142°

4

Which of the following is not true about both rectangles and squares?

63% Answer Correctly

all interior angles are right angles

the lengths of all sides are equal

the perimeter is the sum of the lengths of all four sides

the area is length x width
Solution

A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s2).

5

Solve for x:
8x + 7 = 2 + 7x

59% Answer Correctly
-1
1\(\frac{1}{2}\)
\(\frac{3}{4}\)
-5
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.

8x + 7 = 2 + 7x
8x = 2 + 7x - 7
8x - 7x = 2 - 7
x = -5