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23 Terms

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Expression

Is a number, a variable, or a combination of numbers and variables

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Equation

Consists of two expressions

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Linear equation in one variable

Also known as first degree equation

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Solving an equation

Means finding the value of the variable

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Linear equations

Can be compared to a balanced scale

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Solution set

Consists of all values that make the equation true

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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

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<

Less than

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>

Greater than

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Inequality

Is a statement that two expressions are not equal

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TPI

If x is less than y and y is less than z, then x is less than z

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MPI

When the same negative number is multiplied or divided to both sides of an inequality

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MPI

When the same positive number is multiplied or divided to both sides of an inequality

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API

When the same number is added or subtracted to both sides of an inequality

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Linear equation in two variables

Has an infinite number of solutions

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The graph of a linear equation in two variables

Is a straight line that can be illustrated in a Cartesian plane

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The slope of a line

Is the level of inclination or steepness of a line.

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The slope of a horizontal line

Zero

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The slope of a vertical line

Undefined

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Intercept

Is a point that intersects a particular axis.

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Inconsistent system

If the two lines do not intersect. The graph of this kind of system is a pair of parallel lines.

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Consistent and dependent system

If the two lines intersect at an infinite number of points.

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Consistent and independent system

If the two lines intersect only at one point.