Questions And Answers 100% Score!!!!
Quiz :Variable - Answer :- A non-numeric symbol used to represent an
unknown quantity
- Often represented by letters of the English alphabet such as x or n
Quiz :Coefficient - Answer :- A number multiplied with a variable
- Writen in front of the variable
Quiz :Variable Expression - Answer :- Consist of at least one variable, a
coefficient, and sometimes a power or operation
- Ex: 10.2x
Quiz :Constant - Answer :- A number with no variable multiplied with it
- Ex: In the expression 3x + 4, 4 is the constant
Quiz :Algebraic Terms - Answer :- Numbers, variables, or products of numbers
and variables that are separated from other terms by addition and or
subtraction signs
- Variable expressions can have a single term or multiple terms
- Ex: The expression 7x + 3x has two terms
Quiz :Reflexive Property of Equality - Answer :- A quantity is always equal to
itself
- Ex: a=a
Quiz :Transitive Property of Equality - Answer :- It two quantities are equal to
the same quantity, then they must be equal to each other
- Ex: if a = b and b = c, then a = c
Quiz :Symmetric Property of Equality - Answer :- It two quantities are equal,
then it does not matter which quantity is written on the left-hand side of the
equal sign and which is written on the right-hand side
- Ex: if a = b, then b = a
Quiz :Closure for Addition - Answer :- If two real numbers are added, then
their sum will also be a real number
, Quiz :Closure for multiplication - Answer :- If two real number are multiplied,
then their product will also be a real number
Quiz :Substitution Property for Equality - Answer :- If two quantities are equal,
one may replace the other in a true statement and the statement will remain
true
- Ex: if a + b = c and a = x, then x + b= c
Quiz :Addition Property of Equality - Answer :- If the quantities on each side of
an equal sign are both added by the same amount, the resulting statement will
still be equal
- Ex: if a = b, then a + c = b + c
Quiz :Subtraction Property of Equality - Answer :- If the quantities on each
side of an equal sign are both subtracted by the same amount, the resulting
statement will still be equal
- Ex: if a = b, then a-c = b-c
Quiz :Multiplication Property of Equality - Answer :- If the quantities on each
side of an equal sign are both multiplied by the same amount, the resulting
statement will still be equal
- Ex: if a = b, then ac = bc
Quiz :Division Property of Equality - Answer :- If the quantities on each side of
an equal sign are both divided by the same amount, the resulting statement
will still be equal
- Ex: if a = b and b = a, then a/c = b/c
Quiz :Commutative Property of Addition - Answer :- If the order of the
addends changes in a statement of addition, then the sum will stay the same
- Ex: a + b= b + a
Quiz :Commutative Property of Multiplication - Answer :- If the order of the
factors changes in a statement of multiplication, then the product will stay the
same
- Ex: ab=ba
Quiz :Associative Property of Addition - Answer :- If the placement or the
grouping symbols of a set of addends changes, then the sum will stay the same
- Ex: a + (b + c) = (a + b) + c
, Quiz :Associative Property of Multiplication - Answer :- If the placement or the
grouping symbols of a set of factors changes, then the product will stay the
same
- Ex: a(bc)= (ab)c
Quiz :Identity Property of Addition - Answer :- A value added by zero will yield
a sum equal to the original value
- Ex: a + 0= a
Quiz :Identity Property of Multiplication - Answer :- A value multplied by one
will yield a product equal to the original value
- Ex: a x 1= a
Quiz :Additive Inverse Property - Answer :- A value added by its inverse or
opposite will have a sum of zero
- Ex: a + -a= 0
Quiz :Multiplication Inverse Property - Answer :- A value multiplied by its
reciprocal will have a product of 1
- Ex: a x 1/a = 1
Quiz :Distributive Property of Multiplication over Addition - Answer :- The
product of a factor with a sum is the same as the sum of the products made by
that factor and each number involved in the addition or subtraction
- Ex: a(b+c)= ab + ac
Quiz :Zero Product Property - Answer :- If values are multiplied to yield a
product of zero, then at least one of those factors must be zero
- Ex: if ab=0, then a or b must be 0
Quiz :Like terms - Answer :- Must have the same variable and must be raised
to the same power
- Can be added and subtracted to each other
- The coefficients are added or subtracted and the variable parts remain
unchanged
Quiz :Unlike terms - Answer :- Cannot be added or subtracted
- Can be multiplied and divided