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Level 173

Algebra


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GCF
Greatest Common Factor
number line
a diagram that represents numbers as points on a line.
origin
The centre point of a number line (ground floor of a hotel, freezing point on a thermometer)
binary operation
an operation performed on a set that produces a result that is also a part of that set
a set
a group of numbers
Natural numbers
A group of numbers that include 1,2, 3,.....
integers numbers
positive and negative numbers that do not include fractions or decimals
Rational numbers
Numbers that include integers, wholes, and natural numbers.
Irrational Numbers
any number that cannot be expressed as a fraction.
real numbers
Any Number
four main operations
addition, subtraction, multiplication and division
Addition
to join two or more quantities
Subtraction
to take a quantity away from another
Multiplication
process of repeated addition
long multiplication
the multiplication of larger numbers
Division
process of breaking a quantity into equal parts
long division
a special procedure to divide larger numbers
Dividend
the number that is being divided
divisor
the number that divides another number.
process of adding integers
If the signs of the values are the same, you will add the two values. If the signs of the values are different, subtract the two values. You will always keep the sign of the largest value.
process of subtracting integers
first change the problem by changing the operation to addition and the sign of the last number to its opposite.
three basic principles
the commutative property
Commutative Property
3 + 2 = 2 + 3
Associative Property
(1 + 2) + 3 = 1 + (2 + 3)
multiplication property
the product of any number and zero is zero
factors
the numbers being multiplied
LCM
Least Common Multiple
least common multiple
The smallest multiple (other than zero) that two or more numbers have in common.
Equation
A mathematical sentence that contains an equals sign
variables
the letters in your equation
coefficients
the numbers directly in front of your variables
terms
A number, a variable, or the product of a number and a variable
constants
terms that are just numbers
cartesian plane
the x/y plane
x-intercept
the point where the line crosses the x-axis
y-intercept
the point where the line crosses the y-axis
x-coordinates
the coordinates that go from left to right
x-axis
The horizontal axis on a coordinate plane.
y-axis
The vertical axis on a coordinate plane.
y-coordinates
the coordinates that go up and down
quadrants
Four regions into which a coordinate plane is divided by the x-axis and the y-axis
ordered pair
A pair of numbers that can be used to locate a point on a coordinate plane.
order of operations
The rules for calculating a maths question containing mixed operations, such as 14 - 2 x 4 + 12
Whole Numbers
Zero and the counting numbers 1, 2, 3, 4, 5, 6, and so on. If a number has a negative sign, a decimal point, or a part that's a fraction, it is NOT a whole number.
Open sentence
An equation or an inequality that contains an algebraic expression
Variable
an alphabetic character representing a number, called the value, which is either arbitrary or not fully specified or unknown. It is usually a letter like x or y.
solution of an equation or inequality
A number that produces a true statement when substituted for the variable in an equation or inequality
rate
* multiplication
algebraic expression
An expression consisting of one or more numbers and variables along with one or more arithmetic operations
inequality
A mathematical sentence that shows the relationship between quantities that are not equivalent
unit rate
A rate with the denominator of 1.
power
a number produced by raising a base to an exponent
verbal model
Describes a real-world situation using words as labels and using math symbols to relate the words
Formula
An equation that relates two or more quantities
inclusion symbols
Symbols like parentheses, ( ), brackets, [ ], braces, { }, and the fraction bar, /, are called this _______________________.
exponent
A mathematical notation indicating the number of times a quantity is multiplied by itself
Base
the number that is written with an exponent
b ≥ 50
b is at least 50
b ≤ 50
b is at most 50
difference
the answer to a subtraction problem
sum
the answer to an addition problem
product
the answer to a multiplication problem
quotient
the answer to a division problem