ASVAB MATH PAPER QUESTIONS WITH ANSWERS
✔✔In algebra constants are called what? - ✔✔Numbers
✔✔In algebra variables are called what? - ✔✔letters that represent unknown numbers
✔✔In algebra coefficients are known to do what? - ✔✔be a constantly multiplied by a
variable
✔✔What is a polynomial? - ✔✔a term in algebra that uses one or more variable.
✔✔What is the Distributive property? - ✔✔when you have an equation that contains
both multiplication and addition you can distribute the multipliers.
Example, (2+4)(3+5) = 2(3+5) + 4(3+5).
✔✔What is the Commutative property? - ✔✔you can add or multiply numbers in any
order.
Example, 2 x 4 x 7 = 7 x 2 x 4.
✔✔What is the Associative property? - ✔✔when adding or multiplying you can group
numbers in any order.
Example, (3+5) + 7 = 3 + (5+7)
✔✔What is the Property of inequality? - ✔✔if two numbers are equal you can add or
multiply those numbers by the same value to get the same result.
Example, if 4 = 2y then 4(7) = 2y(7).
✔✔What is the Additive identity? - ✔✔a number or variable added to zero equals that
number or variable.
Example, 7y + 0 = 7y.
✔✔What is the Multiplicative identity? - ✔✔a number or variable multiplied by one
equals that number or variable.
Example, 7y x 1 = 7y.
✔✔What is the Additive inverse? - ✔✔a number or variable added to its inverse equals
zero. E
Example, 7y + (-7y) = 0.
✔✔What is the Multiplicative inverse? - ✔✔a number or variable multiplied by its
reciprocal equals one.
Example, (7y)(1/7y) = 1.
, ✔✔When solving equations with inequalities when do you switch the signs around? -
✔✔Make sure to reverse the direction of the inequality when you multiply or divide by
both sides of the inequality.
<, >, ≤, and ≥
✔✔In Geometry what is a line? - ✔✔is a connection of points that go in a straight path
in only two directions.
✔✔In Geometry what is a ray? - ✔✔is a line that has one defined endpoint but other
end goes infinitely in a straight path
✔✔In Geometry what is are Parallel lines? - ✔✔are equidistant lines that never cross
✔✔In Geometry what is are perpendicular lines? - ✔✔are lines that intersect at a right
angle (90°).
✔✔In Geometry what some common angles and their degrees? - ✔✔Line- 180
Circle- 360
Right-90
Acute- <90
Obtuse- >90 but less than 180
Reflex- > 180 but less than 360
✔✔What are complementary angles? - ✔✔Two angles that the sum equals 90 degrees.
✔✔What are supplementary angles? - ✔✔Two angles that the sum equals 180
degrees.
✔✔What is the sum of the interior angles of a triangle? - ✔✔The sum of the interior
angles of a triangle always equal 180°
✔✔What is a equilateral triangle? - ✔✔Triangles are equilateral when all three sides
have the same length
✔✔What is a isosceles triangle? - ✔✔when two sides have equal length.
✔✔How can you find the perimeter of a triangle? - ✔✔The perimeter of a triangle can be
found by adding the lengths of each side and the area can be calculated as
1/2(base)(height).
✔✔In Geometry what are quadrilaterals? - ✔✔are four-sided geometric shapes whose
four angles sum 360°
✔✔In algebra constants are called what? - ✔✔Numbers
✔✔In algebra variables are called what? - ✔✔letters that represent unknown numbers
✔✔In algebra coefficients are known to do what? - ✔✔be a constantly multiplied by a
variable
✔✔What is a polynomial? - ✔✔a term in algebra that uses one or more variable.
✔✔What is the Distributive property? - ✔✔when you have an equation that contains
both multiplication and addition you can distribute the multipliers.
Example, (2+4)(3+5) = 2(3+5) + 4(3+5).
✔✔What is the Commutative property? - ✔✔you can add or multiply numbers in any
order.
Example, 2 x 4 x 7 = 7 x 2 x 4.
✔✔What is the Associative property? - ✔✔when adding or multiplying you can group
numbers in any order.
Example, (3+5) + 7 = 3 + (5+7)
✔✔What is the Property of inequality? - ✔✔if two numbers are equal you can add or
multiply those numbers by the same value to get the same result.
Example, if 4 = 2y then 4(7) = 2y(7).
✔✔What is the Additive identity? - ✔✔a number or variable added to zero equals that
number or variable.
Example, 7y + 0 = 7y.
✔✔What is the Multiplicative identity? - ✔✔a number or variable multiplied by one
equals that number or variable.
Example, 7y x 1 = 7y.
✔✔What is the Additive inverse? - ✔✔a number or variable added to its inverse equals
zero. E
Example, 7y + (-7y) = 0.
✔✔What is the Multiplicative inverse? - ✔✔a number or variable multiplied by its
reciprocal equals one.
Example, (7y)(1/7y) = 1.
, ✔✔When solving equations with inequalities when do you switch the signs around? -
✔✔Make sure to reverse the direction of the inequality when you multiply or divide by
both sides of the inequality.
<, >, ≤, and ≥
✔✔In Geometry what is a line? - ✔✔is a connection of points that go in a straight path
in only two directions.
✔✔In Geometry what is a ray? - ✔✔is a line that has one defined endpoint but other
end goes infinitely in a straight path
✔✔In Geometry what is are Parallel lines? - ✔✔are equidistant lines that never cross
✔✔In Geometry what is are perpendicular lines? - ✔✔are lines that intersect at a right
angle (90°).
✔✔In Geometry what some common angles and their degrees? - ✔✔Line- 180
Circle- 360
Right-90
Acute- <90
Obtuse- >90 but less than 180
Reflex- > 180 but less than 360
✔✔What are complementary angles? - ✔✔Two angles that the sum equals 90 degrees.
✔✔What are supplementary angles? - ✔✔Two angles that the sum equals 180
degrees.
✔✔What is the sum of the interior angles of a triangle? - ✔✔The sum of the interior
angles of a triangle always equal 180°
✔✔What is a equilateral triangle? - ✔✔Triangles are equilateral when all three sides
have the same length
✔✔What is a isosceles triangle? - ✔✔when two sides have equal length.
✔✔How can you find the perimeter of a triangle? - ✔✔The perimeter of a triangle can be
found by adding the lengths of each side and the area can be calculated as
1/2(base)(height).
✔✔In Geometry what are quadrilaterals? - ✔✔are four-sided geometric shapes whose
four angles sum 360°
