ASVAB Math Knowledge Practice Test 737555 Results

Your Results Global Average
Questions 5 5
Correct 0 2.94
Score 0% 59%

Review

1

Which types of triangles will always have at least two sides of equal length?

54% Answer Correctly

equilateral, isosceles and right

equilateral and right

isosceles and right

equilateral and isosceles


Solution

An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.


2

Solve for x:
4x - 2 < \( \frac{x}{-7} \)

44% Answer Correctly
x < -2\(\frac{25}{28}\)
x < \(\frac{14}{29}\)
x < -\(\frac{6}{43}\)
x < \(\frac{42}{55}\)

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.

4x - 2 < \( \frac{x}{-7} \)
-7 x (4x - 2) < x
(-7 x 4x) + (-7 x -2) < x
-28x + 14 < x
-28x + 14 - x < 0
-28x - x < -14
-29x < -14
x < \( \frac{-14}{-29} \)
x < \(\frac{14}{29}\)


3

A(n) __________ is to a parallelogram as a square is to a rectangle.

51% Answer Correctly

quadrilateral

trapezoid

triangle

rhombus


Solution

A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.


4

Factor y2 - 10y + 9

54% Answer Correctly
(y - 9)(y + 1)
(y - 9)(y - 1)
(y + 9)(y + 1)
(y + 9)(y - 1)

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 9 as well and sum (Inside, Outside) to equal -10. For this problem, those two numbers are -9 and -1. Then, plug these into a set of binomials using the square root of the First variable (y2):

y2 - 10y + 9
y2 + (-9 - 1)y + (-9 x -1)
(y - 9)(y - 1)


5

Which of the following is not a part of PEMDAS, the acronym for math order of operations?

88% Answer Correctly

pairs

division

exponents

addition


Solution

When solving an equation with two variables, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)