The coordinate plane, also known as the Cartesian plane, is a two-dimensional system used to locate points. It consists of two perpendicular number lines, the x-axis, and the y-axis, which intersect at their zero points, called the origin.

**Origin:**The point where the x-axis and the y-axis intersect, denoted by (0, 0).**X-Axis:**The horizontal number line.**Y-Axis:**The vertical number line.**Quadrants:**The four sections of the coordinate plane formed by the intersection of the x-axis and the y-axis. They are labeled as Quadrant I, Quadrant II, Quadrant III, and Quadrant IV, in a counterclockwise direction.

Points on the coordinate plane are located using ordered pairs (x, y), where x represents the horizontal position along the x-axis, and y represents the vertical position along the y-axis.

To plot a point, locate the x-coordinate on the x-axis, then move vertically to the y-coordinate on the y-axis, and mark the point at their intersection.

The distance between two points on the coordinate plane can be found using the distance formula: √((x2 - x1)^2 + (y2 - y1)^2).

Study GuideAlgebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer keyAlgebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer keyAlgebraic Equations

Algebra (NCTM)

Represent and analyze mathematical situations and structures using algebraic symbols.

Recognize and generate equivalent forms for simple algebraic expressions and solve linear equations

Grade 6 Curriculum Focal Points (NCTM)

Algebra: Writing, interpreting, and using mathematical expressions and equations

Students write mathematical expressions and equations that correspond to given situations, they evaluate expressions, and they use expressions and formulas to solve problems. They understand that variables represent numbers whose exact values are not yet specified, and they use variables appropriately. Students understand that expressions in different forms can be equivalent, and they can rewrite an expression to represent a quantity in a different way (e.g., to make it more compact or to feature different information). Students know that the solutions of an equation are the values of the variables that make the equation true. They solve simple one-step equations by using number sense, properties of operations, and the idea of maintaining equality on both sides of an equation. They construct and analyze tables (e.g., to show quantities that are in equivalent ratios), and they use equations to describe simple relationships (such as 3x = y) shown in a table.