Course 2 Unit 3 Study Guide Test Date: _____________________ Section What to Know What to Use to Study How to translate phrases to math expression 2.1 Translating Words to Symbols How to translate phrases to math inequalities Notes Quiz HW How to write expressions from word problems and evaluate them Combining Like Terms Distributive Property How to combine like terms How to combine constants How to distribute a positive number to a variable expression that contains addition or subtraction How to distribute and then combine like terms Factoring Expressions 2.3 Solving Addition and Subtraction Equations 2.4 Solving Multiplication and Division Equations Notes Quiz HW Example Problems The sum of n and 12 14 less than p The quotient of b and 9 4 more than the product of 5 and m 8 times the quantity of a and 11 One fourth of a number The total amount of money earned if you charge $15 for shoveling driveways and shoveled d driveways 3x 4 y 5 x 8 y 10a 7b 2a 12 18n 23 p 10 8n 5 x 7 Notes Quiz HW 3 a 13 2 5n 1 6 4n 3 9 b 4 5b How to factor a variable expression using the GCF of the terms Notes Quiz HW How to algebraically show steps to solve addition and subtraction equations How to algebraically show steps to solve multiplication and division equations Notes Quiz HW Notes Quiz HW 4h 20 8c 12 11a 77 Solve x + 5 = 17 Solve x – 8 = -26 Solve: -4x = 16 Solve x 15 4 Word Problems How to define a variable, set up an equation, and solve for one step equations How to graph an inequality 2.8 Inequalities and Their Graphs 2.9 Solving Addition and Subtraction Inequalities 2.10 Solving Multiplication and Division Inequalities Word Problems How to write an inequality for a graph How to algebraically show steps to solve one step addition and subtraction inequalities How to algebraically show steps to solve one step multiplication and division inequalities Know when to flip the direction of the inequality sign How to define a variable, set up an inequality, and solve for one step inequalities Notes Quiz HW Notes Quiz HW Notes Quiz HW Notes Quiz HW Notes Quiz HW Billy owns 4 times as many as DVD’s as Ken. Billy owns 32 DVD’s. How many DVD’s does Ken own? The sum of 23 and a number is 19. What is the number? Graph: x > 4 x6 x 10 Graph x is at most 4 Graph x is at least 8 Solve and graph x + 3 > 7 Solve and graph x – 4 < -8 Solve and graph 7 x 21 Solve and graph y 2 5 Evan has $25. He needs some more money to buy a pair of $60 sneakers. At least how much more money does Evan need? 4 friends go out to lunch. They split the bill evenly. They want to pay less than $12 each. How much can the total bill be?