Praxis II: Math (5003) Questions and
Answers Already Passed
Integers - ANS - Positive and Negative Whole Numbers; Includes 0
Prime Number - ANS - A whole number greater than 1 that only has two factors (itself
and 1)
Composite Number - ANS - A whole number greater than 1 that has more than two
different factors
Rational Numbers - ANS - All integers, decimals and fractions; any terminating or
repeating decimal number
Irrational Numbers - ANS - Cannot be written as fractions or decimals because the
number of decimal places is infinite and there is no recurring pattern of digits within the
number (e.g. pi)
Real Numbers - ANS - Set of all rational and irrational numbers
Order of Operations - ANS - PEMDAS
M/D and A/S are worked left to right in order
Commutative Property - ANS - The order of two numbers may be switched around and
the answer is the same
*THINK COMMUTE = move
Associative Property - ANS - Grouping numbers together does not change the value
*THINK ASSOCIATE = group
Distributive Property - ANS - a(b + c) = ab + ac
Additive Identity Property - ANS - a + 0 = a
Additive Inverse Property - ANS - Any (+) number added to its opposite (-) is equal to
zero
Multiplicative Identity Property - ANS - 1 is the multiplicative identity such that a x 1=a
Multiplicative Inverse Property - ANS - "Reciprocal"
Law of Exponents - ANS - 1) Any number raised to the power of 1 is equal to itself
2) The number 1 raised to any power is equal to 1
, 3) Any number raised to the power of 0 is equal to 1
4) Add exponents to multiply powers of the same base number
5) Subtract exponents to divide powers of the same number
6) Multiply exponents to raise a power to a power
7) If multiplied or divided numbers inside parentheses are raised to a power it is the
same as each individual term raised to that power
Factors - ANS - Numbers that are multiplied together to obtain a product
Common Factor - ANS - Number that divides exactly into two or more other numbers
Greatest Common Factor (GCF) - ANS - The largest number that is a factor of two or
more numbers
Least Common Multiple (LCM) - ANS - The smallest number that is a multiple of two or
more numbers
Dividing Fractions - ANS - Flip the numerator and denominator of the second fraction
and then multiply
Solving Percentage Problems - ANS - P=W x % or
%=P/W or
W=P/%
Bisector - ANS - A line/line segment that divides another line segment into two equal
lengths
Intersecting Lines - ANS - Lines that have exactly one point in common
Transversal Line - ANS - A line that intersects at least two other lines that may or may
not be parallel
Vertex - ANS - The point where two segments or rays meet to form an angle
Angles - ANS - Acute: less than 90 degrees
Right: exactly 90 degrees
Obtuse: between 90 and 180
Straight: exactly 180 degrees (line)
Reflex: between 180 and 360
Full: exactly 360
Complementary - ANS - Two angles whose sum is 90 degrees
Supplementary - ANS - Two angles whose sum is 180 degrees
Interior Angles - ANS - Angles between two parallel lines
Answers Already Passed
Integers - ANS - Positive and Negative Whole Numbers; Includes 0
Prime Number - ANS - A whole number greater than 1 that only has two factors (itself
and 1)
Composite Number - ANS - A whole number greater than 1 that has more than two
different factors
Rational Numbers - ANS - All integers, decimals and fractions; any terminating or
repeating decimal number
Irrational Numbers - ANS - Cannot be written as fractions or decimals because the
number of decimal places is infinite and there is no recurring pattern of digits within the
number (e.g. pi)
Real Numbers - ANS - Set of all rational and irrational numbers
Order of Operations - ANS - PEMDAS
M/D and A/S are worked left to right in order
Commutative Property - ANS - The order of two numbers may be switched around and
the answer is the same
*THINK COMMUTE = move
Associative Property - ANS - Grouping numbers together does not change the value
*THINK ASSOCIATE = group
Distributive Property - ANS - a(b + c) = ab + ac
Additive Identity Property - ANS - a + 0 = a
Additive Inverse Property - ANS - Any (+) number added to its opposite (-) is equal to
zero
Multiplicative Identity Property - ANS - 1 is the multiplicative identity such that a x 1=a
Multiplicative Inverse Property - ANS - "Reciprocal"
Law of Exponents - ANS - 1) Any number raised to the power of 1 is equal to itself
2) The number 1 raised to any power is equal to 1
, 3) Any number raised to the power of 0 is equal to 1
4) Add exponents to multiply powers of the same base number
5) Subtract exponents to divide powers of the same number
6) Multiply exponents to raise a power to a power
7) If multiplied or divided numbers inside parentheses are raised to a power it is the
same as each individual term raised to that power
Factors - ANS - Numbers that are multiplied together to obtain a product
Common Factor - ANS - Number that divides exactly into two or more other numbers
Greatest Common Factor (GCF) - ANS - The largest number that is a factor of two or
more numbers
Least Common Multiple (LCM) - ANS - The smallest number that is a multiple of two or
more numbers
Dividing Fractions - ANS - Flip the numerator and denominator of the second fraction
and then multiply
Solving Percentage Problems - ANS - P=W x % or
%=P/W or
W=P/%
Bisector - ANS - A line/line segment that divides another line segment into two equal
lengths
Intersecting Lines - ANS - Lines that have exactly one point in common
Transversal Line - ANS - A line that intersects at least two other lines that may or may
not be parallel
Vertex - ANS - The point where two segments or rays meet to form an angle
Angles - ANS - Acute: less than 90 degrees
Right: exactly 90 degrees
Obtuse: between 90 and 180
Straight: exactly 180 degrees (line)
Reflex: between 180 and 360
Full: exactly 360
Complementary - ANS - Two angles whose sum is 90 degrees
Supplementary - ANS - Two angles whose sum is 180 degrees
Interior Angles - ANS - Angles between two parallel lines
