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Expression
Is a number, a variable, or a combination of numbers and variables
Equation
Consists of two expressions
Linear equation in one variable
Also known as first degree equation
Solving an equation
Means finding the value of the variable
Linear equations
Can be compared to a balanced scale
Solution set
Consists of all values that make the equation true
The equal sign
Indicates that the number or expression on the left side is the same as the number or expression on the right side
<
Less than
>
Greater than
Inequality
Is a statement that two expressions are not equal
TPI
If x is less than y and y is less than z, then x is less than z
MPI
When the same negative number is multiplied or divided to both sides of an inequality
MPI
When the same positive number is multiplied or divided to both sides of an inequality
API
When the same number is added or subtracted to both sides of an inequality
Linear equation in two variables
Has an infinite number of solutions
The graph of a linear equation in two variables
Is a straight line that can be illustrated in a Cartesian plane
The slope of a line
Is the level of inclination or steepness of a line.
The slope of a horizontal line
Zero
The slope of a vertical line
Undefined
Intercept
Is a point that intersects a particular axis.
Inconsistent system
If the two lines do not intersect. The graph of this kind of system is a pair of parallel lines.
Consistent and dependent system
If the two lines intersect at an infinite number of points.
Consistent and independent system
If the two lines intersect only at one point.