Section 1
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algebraic expression
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Cards (52)
Section 1
(50 cards)
algebraic expression
A mathematical phrase involving at least one variable and sometimes numbers and operation symbols.
square root
a number that is multiplied by itself to form a product
x-coordinate
The first number of an ordered pair. It corresponds to a number on the x-axis.
constant
A value that does not change
Coefficient
A number multiplied by a variable in an algebraic expression.
repeating decimal
A decimal that repeats a digit or group of digits forever.
Opposites
two numbers that have the same absolute value but have different signs
axes
The two perpendicular lines of a coordinate plane that intersect at the origin
replacement set
a set of numbers from which replacements for a variable may be chosen
term
the parts to be added or subtracted in an expression
reciprocal
Two numbers that have a product of 1.
x-axis
the horizontal axis on a coordinate plane
quadrant
one of four sections into which the coordinate plane is divided
mathematical operations
addition, subtraction, multiplication, division
terminating decimal
A decimal number that ends or terminates
Additive Inverse
a number and its opposite
ordered pair
A pair of numbers that can be used to locate a point on a coordinate plane (x,y)
Power
is an expression written with an exponent and a base
y-coordinate
The second number of an ordered pair. It corresponds to a number on the y-axis.
Variable
a letter or symbol used to represent a value that can change
rational numbers
Any number that can be expressed as a fraction
Natural Numbers
The set of numbers 1, 2, 3, 4, ... Also called counting numbers.
base
is the number that is used as a factor
multiplication by zero
the product of any number and 0 is 0 a*0 = 0
Distributive Property
a property indicating a special way in which multiplication is applied to addition of two or more numbers in which each term inside a set of parentheses can be multiplied by a factor outside the parentheses, such as a(b + c) = ab + ac
multiplying and dividing numbers with same sign
if two numbers have the same sign, their product or quotient is positive
multiplying and dividing numbers with different signs
if two numbers have different signs, their product or quotient is negative
Commutative Property of Multiplication
Changing the order of the factors does not change the product. ab=ba
Adding real numbers with same sign
if two numbers have the same sign, add their absolute values and use the sign of the numbers
Adding Real Numbers with Different Signs
if two numbers have different signs, find the difference of their absolute values and use the sign of the number with the greater absolute value
irrational numbers
Numbers that cannot be expressed as a ratio of two integers. Their decimal expansions are nonending and nonrepeating.
Associative Property of Multiplication
Changing the grouping of three or more factors does not change the product. (ab)c=a(bc)
perfect square
A number whose positive square root is a whole number.
Multiplicative Inverse
A number times its multiplicative inverse is equal to 1; also called reciprocal
Division by zero
Dividing any number by 0 results in a quotient that is undefined
exponent
A mathematical notation indicating the number of times a quantity is multiplied by itself.
coordinate plane
A plane that is divided into four regions by a horizontal line called the x-axis and a vertical line called the y-axis.
y-axis
the vertical axis on a coordinate plane
Commutative Property of Addition
Changing the order of the addends does not change the sum. a+b=b+a
Zero divided by a number
When zero is divided by a number the answer is zero. 0/a = 0 "a" does not equal 0
absolute value
The distance a number is from zero on a number line
real numbers
all numbers that can be represented on the number line
whole numbers
Natural numbers ( counting numbers) and zero; 0, 1, 2, 3...
Associative Property of Addition
Changing the grouping of three or more addends does not change the sum. (a+b)=c=a+(b+c)
origin
A fixed point from which coordinates are measured. (0,0)
Integers
whole numbers and their opposites (positive and negative)
evaluate
To find the value of a numerical or algebraic expression
like terms
terms with exactly the same variable factors in a variable expression
Order of Operations (PEMDAS)
the sequence in which operations are performed when evaluating an expression: Parenthesis, Exponents, Multiplication and Division, Addition and Subtraction.
numerical expression
A mathematical phrase involving numbers and operation symbols, but no variables.
Section 2
(2 cards)