Grade 6 - Unit 4: One Step Equations and Inequalities

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Constant of Proportionality

The constant value of the ratio of two proportional quantities x and y; usually written y = kx, where k is the constant of proportionality. In a proportional relationship, y = kx, k is the constant of proportionality, which is the value of the ratio between y and x.

Direct Proportion (Direct Variation)

The relation between two quantities whose ratio remains constant. When one variable increases the other increases proportionally: When one variable doubles the other doubles, when one variable triples the other triples, and so on. When A changes by some factor, then B changes by the same factor: A=kB, where k is the constant of proportionality.

Division Property of Equality

States that when both sides of an equation are divided by the same number, the remaining expressions are still equal.

Equation

A mathematical sentence that contains an equal sign.

Inequality

A mathematical sentence that contains the symbols >, <, ≥, or ≤.

Inverse Operation

A mathematical process that combines two or more numbers such that its product or sum equals the identity.

Multiplication Property of Equality

States that when both sides of an equation are multiplied by the same number, the remaining expressions are still equal.

Proportion

An equation which states that two ratios are equal.

Subtraction Property of Equality

States that when both sides of an equation have the same number subtracted from them, the remaining expressions are still equal.

Term

A number, a variable, or a product of numbers and variables.

Variable

A letter or symbol used to represent a number or quantities that vary.

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