Algebra 2 Chapter 1 Review.

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Presentation transcript:

Algebra 2 Chapter 1 Review

Essential Questions How do variables help you model real-world situations? Answer: You can use variables to represent variable quantities in real-world situations and in patterns. How can you use the properties of real numbers to simplify algebraic expressions? Answer: The properties that apply to real numbers also apply to variables that represent them. How do you solve an equation or inequality? Answer: You can use properties of numbers and equality (or inequality) to solve an equation (or inequality) by finding increasing simpler equations (or inequalities) that have the same solutions as the original equation (or inequality).

What You Need to Know Find the next term in a pattern (geometric, number, words, graph, etc.). Find the nth term algebraic expression for a pattern. The different subsets of real numbers (both name and notation) and be able classify both numbers and variables as to which sets they belong. Graph and compare real numbers on the number line and using inequality signs.

What You Need to Know The properties of real numbers and be able to identify the properties given an example. Evaluate both numerical and algebraic expressions using the order of operations. Transform words into algebraic expressions. Simplify algebraic expressions using the distributive property and combining like terms. Properties of equality and use them to solve linear equations.

What You Need to Know Solve identity linear equations (all real numbers) and contradiction linear equations (no solution). Solve literal equations. Transform words into a linear equation and solve. Properties of inequality and use them to solve and graph linear inequalities. Transform words into an inequality and solve. Solve and graph compound inequalities (conjunction “and”, disjunction “or”).

What You Need to Know Solve absolute value equations. When absolute value equation has no solution. Check for extraneous solutions of absolute value equations. Solve and graph absolute value inequalities (conjunctions and disjunctions). Transform words into an absolute value inequality.

Assignment Ch-1 Review, Pg 54 – 56; #1 – 35 all