ASVAB Math Knowledge Practice Test 393205 Results

Your Results Global Average
Questions 5 5
Correct 0 3.06
Score 0% 61%

Review

1

What is 2a3 - 9a3?

74% Answer Correctly
11
-7a6
-7a3
-7

Solution

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

2a3 - 9a3 = -7a3


2

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

64% Answer Correctly

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

all interior angles are right angles


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).


3

Which of the following expressions contains exactly two terms?

83% Answer Correctly

binomial

polynomial

quadratic

monomial


Solution

A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.


4

Which of the following statements about parallel lines with a transversal is not correct?

36% Answer Correctly

all of the angles formed by a transversal are called interior angles

all acute angles equal each other

same-side interior angles are complementary and equal each other

angles in the same position on different parallel lines are called corresponding angles


Solution

Parallel lines are lines that share the same slope (steepness) and therefore never intersect. A transversal occurs when a set of parallel lines are crossed by another line. All of the angles formed by a transversal are called interior angles and angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°) and are called corresponding angles. Alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°) and 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°).


5

Solve for a:
-3a + 1 > \( \frac{a}{-8} \)

45% Answer Correctly
a > \(\frac{5}{22}\)
a > -\(\frac{21}{41}\)
a > \(\frac{8}{23}\)
a > 1\(\frac{4}{17}\)

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.

-3a + 1 > \( \frac{a}{-8} \)
-8 x (-3a + 1) > a
(-8 x -3a) + (-8 x 1) > a
24a - 8 > a
24a - 8 - a > 0
24a - a > 8
23a > 8
a > \( \frac{8}{23} \)
a > \(\frac{8}{23}\)