ASVAB Math Knowledge Practice Test 894353 Results

Your Results Global Average
Questions 5 5
Correct 0 3.01
Score 0% 60%

Review

1

What is the circumference of a circle with a diameter of 6?

71% Answer Correctly
18π
38π
10π

Solution

The formula for circumference is circle diameter x π:

c = πd
c = 6π


2

Solve for a:
-3a - 6 = 1 + 6a

59% Answer Correctly
-7
-2
-\(\frac{7}{9}\)
2\(\frac{1}{3}\)

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 - 6 = 1 + 6a
-3a = 1 + 6a + 6
-3a - 6a = 1 + 6
-9a = 7
a = \( \frac{7}{-9} \)
a = -\(\frac{7}{9}\)


3

Factor y2 + 4y - 21

54% Answer Correctly
(y + 3)(y + 7)
(y - 3)(y - 7)
(y + 3)(y - 7)
(y - 3)(y + 7)

Solution

To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce -21 as well and sum (Inside, Outside) to equal 4. For this problem, those two numbers are -3 and 7. Then, plug these into a set of binomials using the square root of the First variable (y2):

y2 + 4y - 21
y2 + (-3 + 7)y + (-3 x 7)
(y - 3)(y + 7)


4

Simplify (5a)(5ab) + (6a2)(7b).

65% Answer Correctly
67a2b
130a2b
67ab2
17a2b

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)(5ab) + (6a2)(7b)
(5 x 5)(a x a x b) + (6 x 7)(a2 x b)
(25)(a1+1 x b) + (42)(a2b)
25a2b + 42a2b
67a2b


5

The dimensions of this trapezoid are a = 4, b = 5, c = 7, d = 4, and h = 3. What is the area?

51% Answer Correctly
22\(\frac{1}{2}\)
14
13\(\frac{1}{2}\)
13

Solution

The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:

a = ½(b + d)(h)
a = ½(5 + 4)(3)
a = ½(9)(3)
a = ½(27) = \( \frac{27}{2} \)
a = 13\(\frac{1}{2}\)