A linear equation can be written in slope-intercept form (y = mx + b). The slope is represented by, m. The y-intercept is represented by b.
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At Least
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A phrase used to represent greater than or equal to in an inequality.
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Non-Linear Function
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Equations whose graphs are not straight lines are called nonlinear functions.
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Literal Equation
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Usually a formula or an equation with different types of variables. Literal equation are solved for a specific variable when prompted.
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System of Equations
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A collection of two or more equations with a same set of unknowns. In solving a system of equations, we try to find values for each of the unknowns that will satisfy every equation in the system.
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Positive Slope
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A line that increases from left to right.
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Equivalent
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In math, two expressions or equations may have the same value but look different. Equivalent expressions or equations have the same mathematical relationships.
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Slope
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The rate of change in a linear function. Slope is the change in the y-values divided by the change in the x-values. [(Slope Formula (y2 - y1)/(x2 - x1)]
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System of Linear Inequalities
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The solution of a linear inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the linear inequality is the graph of all solutions of the system. Graph one line at the time in the same coordinate plane and shade the half-plane that satisfies the inequality.
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Negative Slope
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Aline that decrease from left to right.
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Coordinate Point
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A location on the x/y coordinate plane. All coordinate points are written as, (x, y).
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Linear Function
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A relationship between x and y that has a constant rate of change.
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Area
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The measure of the space inside of an object using squared units (Example: Area of a Rectangle = Length x Width).
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Solution Set
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The set of all the solutions of an equation or condition that when plugged in create a true statement.
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Commutative Property
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The word "commutative" comes from "commute" or "move around", so the Commutative Property is the one that refers to moving terms around in examples of addition or multiplication only.
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Distributive Property
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The Distributive Property is an algebra property which is used to multiply a single term and two or more terms inside a set of parentheses.
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Algebraic Expressions
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A mathematical expression where terms that include numbers and variables are separated by +/- signs. An expression does not have an equal sign.
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Perimeter
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The distance around the outside of a geometric shape.
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Quadratic Function
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A quadratic function is one of the form f(x) = ax^2 + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola.
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Order of Operations
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First perform any calculations inside parentheses. Then, simplify any terms that have exponents. Next perform all multiplications and divisions, working from left to right. Lastly, perform all additions and subtractions, working from left to right.
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At Most
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A phrase used to represent less than or equal to in an inequality.
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Inequality
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The relation between two expressions that are not equal, employing a sign such as ≠ "not equal to," > "greater than," or < "less than."
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Associative Property
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The associative property states that you can add or multiply regardless of how the numbers are grouped.
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Polynomial
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An expression of more than two algebraic terms.
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Rate of Change
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A rate of change is a rate that describes how one quantity changes in relation to another quantity. If x is the independent variable and y is the dependent variable, then. rate of change = change in y change in x. Rates of change can be positive or negative.
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Percent
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In mathematics, a percentage is a number or ratio expressed as a fraction of 100. A percent can be calculated using: part/whole = %/100.
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Function
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A specific relationship between two variables (x and y) where an x-value is assigned to only one y-value. The domain (x-values) does not repeat).