Unit 3 Test Review Chapter 5 Lessons 1-8

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)

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

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

Nicole has d dollars in her bank account 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.

Andy is buying some T-shirts and shorts for his wardrobe 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.

Mitchel bought c cups for $6 each. Jennifer bought d cups for $6 each 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.

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

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

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

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!

Use the Distributive Property to rewrite each expression

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

Write each expression in simplest form 1.) -4x + 8 + 5x – 6 2.) x – 4 – 12x – 9

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

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

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

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

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.

The table gives the number of laps Pragitha swam each week 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. Week 1 2 3 4 Laps x + 2 3x 2x + 1 4x – 6

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

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

Jacob has (4n + 7) crayons. Maria has (3n + 2) crayons 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.

The table gives the cost of a gallon of gasoline at two stations 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 + 3.5 Gas for Less x – 1.2

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)

Factor each expression 1.) 12x + 30 2.) 90x – 15

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