One-Step Equations and Inequalities
HERE you will find the link to the Georgia Department of Education regarding
ONE-STEP EQUATIONS AND INEQUALITIES.
ONE-STEP EQUATIONS AND INEQUALITIES.
One-Step Equations
Educreation Link - click HERE
Educreation Link - click HERE
Inequalities
Educreation Linf - click HERE
Educreation Linf - click HERE
VOCABULARY
Addition Property of Equality:
Adding the same number to each side of an equation produces an equivalent expression.
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
Adding the same number to each side of an equation produces an equivalent expression.
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
