Absolute Value

Make it positive

Properties: Commutative Associative Identity

Properties Commutative – change order Associative – change parentheses Identity – stays the same

Combine Like Terms

Add (or subtract) the coefficients of like terms

Distribution

Multiply by every term in the parentheses

Graphing Inequalities

Graphing Inequalities on a number line

Graphing Linear Inequalities Dashed or solid line Shade above or below

Graphing Linear Inequalities

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

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

Reciprocal

Reciprocal – flip top to bottom, bottom to top Reciprocal of

Steps to solve equations

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

Solving Inequalities What do I remember to do when I divide or multiply by a negative number? Example: -2x < 8

Solving Inequalities What do I remember to do when I divide or multiply by a negative number? SWITCH THE SIGN! Example: -2x < 8

Solving Inequalities What do I do when I solve and the variable ends up on the right? Example: 8 < x

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

Solving Inequalities How do I solve a 3-part inequality? Example: 4< 2x+1 < 8

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 < < 2x < 7 3/2 < x < 7/2

Notes about Functions Domain is… Range is… f(x) means… It’s a function if…

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.

Correlation on Scatter Plots How do I draw the trend line? Direction of negative correlation Direction of positive correlation

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