ASVAB Math Knowledge Practice Test 379637 Results

Your Results Global Average
Questions 5 5
Correct 0 3.29
Score 0% 66%

Review

1

The endpoints of this line segment are at (-2, 4) and (2, 2). What is the slope-intercept equation for this line?

41% Answer Correctly
y = 1\(\frac{1}{2}\)x - 1
y = -3x - 3
y = -1\(\frac{1}{2}\)x - 1
y = -\(\frac{1}{2}\)x + 3

Solution

The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is 3. The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, 4) and (2, 2) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(2.0) - (4.0)}{(2) - (-2)} \) = \( \frac{-2}{4} \)
m = -\(\frac{1}{2}\)

Plugging these values into the slope-intercept equation:

y = -\(\frac{1}{2}\)x + 3


2

Simplify (6a)(9ab) - (7a2)(4b).

62% Answer Correctly
82a2b
26a2b
82ab2
-26ab2

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.

(6a)(9ab) - (7a2)(4b)
(6 x 9)(a x a x b) - (7 x 4)(a2 x b)
(54)(a1+1 x b) - (28)(a2b)
54a2b - 28a2b
26a2b


3

Solve for c:
c + 5 > 4 - 7c

55% Answer Correctly
c > 1\(\frac{1}{2}\)
c > 1\(\frac{1}{3}\)
c > -\(\frac{1}{8}\)
c > 1

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 > sign and the answer on the other.

c + 5 > 4 - 7c
c > 4 - 7c - 5
c + 7c > 4 - 5
8c > -1
c > \( \frac{-1}{8} \)
c > -\(\frac{1}{8}\)


4

If a = 9, b = 9, c = 5, and d = 4, what is the perimeter of this quadrilateral?

88% Answer Correctly
17
21
27
26

Solution

Perimeter is equal to the sum of the four sides:

p = a + b + c + d
p = 9 + 9 + 5 + 4
p = 27


5

If side x = 10cm, side y = 14cm, and side z = 10cm what is the perimeter of this triangle?

84% Answer Correctly
33cm
29cm
34cm
26cm

Solution

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

p = x + y + z
p = 10cm + 14cm + 10cm = 34cm