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linear relationship

There is a constant rate of change. All points lie on a straight line.

y-intercept

the point where the line crosses the y-axis

Coefficient

the decimal part

Solution of an Equation

The value or values of the variables that make an equation true.

algebraic expression

An expression consisting of one or more numbers and variables along with one or more arithmetic operations

equivalent expressions

Two or more expressions that have the same value.

properties of equality

You maintain equality when you add, subtract, multiply, or divide each side of the equality by the same number.

point of intersection

The point where two lines intersect.

inequalities or inequality statement

A statement that two quantities are not equal. The symbols >, <, ≥, and ≤ are used to express inequalities.

associative property of addition

When the grouping of terms changes, the sum stays the same.

associative property of multiplication

When the grouping of factors changes, the products stays the same.

commutative property of addition

If the order of the terms changes, the sum stays the same.

commutative property of multiplication

If the order of factors changes, the product stays the same.

distributive property

Multiplying a sum by a number is the same as multiplying each term by the number and then adding (or subtracting ) the products.

inequality

A mathematical sentence that shows the relationship between quantities that are not equivalent

algebraic inequality

An inequality that contains at least one variable. Example: x+3>10; 5a>b+3

solution set

The set of values that make a statement true.

compound inequality

Two separate inequalities joined by AND or OR.

difference

the answer to a subtraction problem

quotient

the answer to a division problem