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PreAlg C1/C2/C3

PreAlgebra C1/C2/C3

TermDefinition
like terms Terms of an expression which have the same variables raised to the same exponents
simplest form an expression which has no like terms and no parentheses.
linear expression An algebraic expression in which the exponent of the variable is 1
literal equation An equation that has two or more variables
inequality A mathematical sentence that compares expressions.
solution of an inequality A value that makes the inequality true
solution set The set of all numbers which make a mathematical statement true
graph of an inequality A graph that shows all the solutions of the inequality on a number line
linear equation An equation whose graph is a line
solution of a linear equation All of the points on a line that make the equation true
slope A ratio of the change in y (the rise) to the change in x (the run) between any two points on a line. It is a measure of the steepness of a line.
rise The change in y between any two points on a line
run The change in x between any two points on a line
x-intercept The x-coordinate of the point where a line crosses the x-axis
y-intercept The y-coordinate of the point where a line crosses the y-axis
slope-intercept form A linear equation written in the form y = mx + b. The slope of the line is m, and the y-intercept of the line is b.
standard form The standard form of a linear equation is Ax + By = C, where a and b are not both zero.
point-slope form A linear equation written in the form y − y1 = m(x − x1). The line passes through the point (x1, y1), and the slope of the line is m.
Addition Property of Equality Adding the same number to each side of an equation produces an equivalent equation
Subtraction Property of Equality Subtracting the same number to each side of an equation produces an equivalent equation
Multiplication Property of Equality Multiplying the same number to each side of an equation produces an equivalent equation
Division Property of Equality Dividing the same number to each side of an equation produces an equivalent equation
Addition Property of Inequality When you add the same number to each side of an inequality, the inequality remains true
Division Property of Inequality When dividing each side of an inequality by the same positive number, inequality stays true. When dividing each side of an inequality by the same negative number, the direction of the inequality symbol much be reversed for inequality to stay true.
Multiplication Property of Inequality When multiplying each side of an inequality by the same positive number, inequality stays true. When multiplying each side of an inequality by the same negative number, the direction of the inequality symbol much be reversed for inequality to stay true.
Subtraction Property of Inequality When you subtract the same number to each side of an inequality, the inequality remains true
 



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