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Level 194

Solving Equations & Systems of Equations


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algebraic expression
An expression consisting of one or more numbers and variables along with one or more arithmetic operations
Coefficient
the decimal part
Common Denominator
a denominator that is the same in two or more fractions
constant
A value that does not change
Equation
A mathematical sentence that contains an equals sign
Integers
the set of positive whole numbers and their opposites(negative numbers) and 0
least common multiple
The smallest multiple (other than zero) that two or more numbers have in common.
order of operations
The rules for calculating a maths question containing mixed operations, such as 14 - 2 x 4 + 12
Solution of an Equation
The value or values of the variables that make an equation true.
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.
Linear Equation
A polynomial equation of the first degree whose graph is a line.
Ordered Pairs
a pair of numbers that can be used to locate a point on a coordinate plane
slope
(y₂-y₁)/(x₂-x₁)
Slope-Intercept Form
a linear equation written in the form y = mx + b, where m represents slope and b represents the y-intercept
x-axis
The horizontal axis on a coordinate plane.
y-axis
The vertical axis on a coordinate plane.
y-intercept
the point where the line crosses the y-axis
Solution of a System of Equations
a set of values that make all equations in a system true
system of equations
A collection of equations in the same variables
x-intercept
the point where the line crosses the x-axis