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Published byRosemary Shelton Modified over 8 years ago
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Absolute Value
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Make it positive
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Properties: Commutative Associative Identity
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Properties Commutative – change order Associative – change parentheses Identity – stays the same
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Combine Like Terms
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Add (or subtract) the coefficients of like terms
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Distribution
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Multiply by every term in the parentheses
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Graphing Inequalities
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Graphing Inequalities on a number line -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8
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Graphing Linear Inequalities Dashed or solid line Shade above or below
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Graphing Linear Inequalities
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Words to algebra expression Product of 3 and a number Quotient of 3 and a number Sum of 3 and a number 3 less than a number Four times a sum of 3 and a number
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Product of 3 and a number Quotient of 3 and a number Sum of 3 and a number 3 less than a number Four times a sum of 3 and a number
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Reciprocal
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Reciprocal – flip top to bottom, bottom to top Reciprocal of
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Steps to solve equations
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Distribute to remove parentheses Combine like terms on same side of = Move variable to left by adding opposite Move number to right by adding opposite Divide by coefficient of variable
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Solving Inequalities What do I remember to do when I divide or multiply by a negative number? Example: -2x < 8
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Solving Inequalities What do I remember to do when I divide or multiply by a negative number? SWITCH THE SIGN! Example: -2x < 8
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Solving Inequalities What do I do when I solve and the variable ends up on the right? Example: 8 < x
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Solving Inequalities What do I do when I solve and the variable ends up on the right? Switch the order, switch the sign. Example: 8 < x changes to: x > 8
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Solving Inequalities How do I solve a 3-part inequality? Example: 4< 2x+1 < 8
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Solving Inequalities How do I solve a 3-part inequality? Get x alone in the middle, between 2 numbers. Do the same operation left, center, and right. Example: 4< 2x+1 < 8 -1 -1 -1 3 < 2x < 7 3/2 < x < 7/2
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Notes about Functions Domain is… Range is… f(x) means… It’s a function if…
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Notes about Functions Domain is… all the x values Range is… all the y values f(x) means… plug in x to get y It’s a function if… no x’s are repeated or no points are in a vertical line.
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Correlation on Scatter Plots How do I draw the trend line? Direction of negative correlation Direction of positive correlation
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Correlation on Scatter Plots How do I draw the trend line? Straight through the middle Direction of negative correlation: down to the right Direction of positive correlation: up to the right pos neg
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