Algebraic Concepts Unit 1 8th Grade

Equation

• A mathematical statement that asserts the equality of two expressions.

• A formula used to calculate the area of a circle.

• A type of graph that represents data points.

• A statement that describes a relationship between two variables.

Expression

• A combination of numbers, variables, and operators (such as + and −) without an equality sign.

• A statement that asserts the equality of two expressions.

• A mathematical statement that includes an equality sign.

• A sequence of operations that results in a single number.

Factors

• Numbers or expressions that are multiplied together to get a product.

• Numbers that are added together to get a sum.

• Numbers that are divided to get a quotient.

• Numbers that are subtracted to find the difference.

Literal Equation

• An equation involving two or more variables.

• A numerical equation with only constants.

• An equation that has no variables.

• An equation that is always true.

Terms

• The parts of an expression that are multiplied or divided.

• The parts of an expression that are added or subtracted.

• The coefficients in an expression.

• The variables in an expression.

Coefficients

• Numerical or constant factors in terms of an algebraic expression, usually placed before variables.

• Variables that represent unknown values in an equation.

• The sum of the terms in an algebraic expression.

• The process of simplifying an algebraic expression.

Linear Inequality in One Variable

• An equation that can be written in the form ax + b = c

• An inequality that can be written in the form ax + b < c or ax + b > c

• A polynomial expression of degree one

• A function that has a constant rate of change

Inverse Operations

• Operations that are unrelated to each other.

• Operations that undo each other, such as addition and subtraction or multiplication and division.

• Operations that are performed in the same direction.

• Operations that only involve addition.

Algebraic Properties

• Rules that apply to algebraic expressions and equations, such as the distributive property, associative property, and commutative property.

• A set of guidelines for solving geometric problems.

• Principles that govern the behavior of numbers in calculus.

• Techniques for simplifying fractions and ratios.

Linear Equation in One Variable

• An equation that can be written in the form ax + b = 0, where a and b are constants and x is the variable.

• An equation that represents a straight line on a graph.

• An equation that involves two variables and can be expressed in the form y = mx + c.

• An equation that has no solutions or infinite solutions.