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Unit 3 Test Review Chapter 5 Lessons 1-8

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5-1 To evaluate an algebraic expression: – 1.) Plug in the value for each variable and rewrite the expression – 2.) Follow order of operations to solve (show work step by step)

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Evaluate each expression 3m² ̶ 4 if m = -3 6s ̶ 3t if s = 4 and t = -2

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Write expressions from word problems – Key words like each and per tell you where variable should go and to multiply – Look for other key words to tell you what operation to use

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Nicole has d dollars in her bank account. On her birthday, she received $150 from family and friends to put into her account. Write an expression to represent the total amount of money now in her account.

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Andy is buying some T-shirts and shorts for his wardrobe. Each T-shirt costs $14 and each pair of shorts costs $18. – Write an algebraic expression to represent the total cost of buying x T-shirts and y pairs of shorts. – Find the total cost of buying 4 T-shirts and 3 pairs of shorts.

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Mitchel bought c cups for $6 each. Jennifer bought d cups for $6 each. Write an expression that can be used to find the total amount Mitchel and Jennifer spent for the cups.

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5-2 Need to know what an arithmetic sequence is and be comfortable describing the pattern and continuing the pattern

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5-3 NEED TO KNOW THE 5 PROPERTIES IN LESSON 3! – Commutative Property (+ or x) – Associative Property (+ or x) – Additive Identity – Multiplicative Identity – Multiplicative Property of Zero

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Name the property shown by each statement. 1.) 6 + (b + 2) = (6 + b) ) 1 x 4 = 4 3.) 7 + t = t + 7

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5-4 Need to know how to rewrite expressions using the Distributive Property – If you have a negative number on outside of parentheses and subtraction sign on inside of parentheses, ___________________ – Don’t forget to distribute to the second term inside the parentheses!

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Use the Distributive Property to rewrite each expression 1.) -9(x – 8) 2.) 4(3y – 12)

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5-5 Simplifying Algebraic Expressions STEPS: 1.) Get rid of all subtraction signs (keep, change, opposite) 2.) Distribute to get rid of parenthesis (if needed) 3.) Show the like terms (circle, underline, box) 4.) Simplify *List variable terms first and alphabetically

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Write each expression in simplest form 1.) -4x x – 6 2.) x – 4 – 12x – 9

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Write each expression in simplest form 3.) -3x – 4(5x + 7) 4.) 6(4a + 3b) – 8a

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Identify the terms, like terms, coefficients, and constants in each expression. 1.) 9 – 5x – 2 + x 2.) -y + 4 – 7y

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5-6 Add linear expressions STEPS: 1.) Get rid of subtraction signs (keep, change, opposite) 2.) Distribute if needed 3.) Rewrite without parentheses and show like terms 4.) Simplify

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Add 1.) (10x – 5) + (-6x + 4) 2.) (-8y – 2) + 3(-4y – 7)

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Write a linear expression in simplest form to represent the perimeter of the triangle. Find the perimeter if the value of x is 4 inches.

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The table gives the number of laps Pragitha swam each week. Write an expression in simplest form for the total number of laps she swam all four weeks. Week1234 Lapsx + 23x2x + 14x – 6

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5-7 Subtract Linear Expressions STEPS: 1.) Put a 1 after the subtraction sign in the middle of the two expressions 2.) Get rid of subtraction signs 3.) Distribute -1 to the second expression 4.) Add like terms and simplify

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Subtract. 1.) (12x + 8) ̶ (x – 2) 2.) (3x – 2) ̶ (5x – 4)

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Jacob has (4n + 7) crayons. Maria has (3n + 2) crayons. Write an expression to show how many more crayons Jacob has than Maria. – Then evaluate the expression if n = 6.

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The table gives the cost of a gallon of gasoline at two stations. How much more does gasoline cost at Gas For Less than at Cut-Rate? Cut-Rate–2x Gas for Lessx – 1.2

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5-8 Factor Linear Expressions STEPS: 1.) Find GCF of both terms 2.) Divide both terms by GCF and put in parentheses 3.) Put GCF outside of parentheses *Use Distributive Property to check (Don’t forget about bday cake shortcut)

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Factor each expression 1.) 12x ) 90x – 15

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A sidewalk has an area that can be represented by the expression (8x + 24) feet. Factor the expression 8x + 24.

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