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# Module 1 Topic 2 Notes

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### Transcript

• 1. Module 1 Topic 2 Variables and Expressions Variable: an unknown that is usually represented by a letter; used in writing expressions Expressions are different from equations because expressions do not have an “equals” sign
• 2. Writing an Algebraic Expression
• EX: Write the algebraic expression that represents the sum of a number and 3
X + 3 Write this down: sum + difference – product x quotient /
• 3. Writing an Algebraic Expression
• EX: Juan has 40 different plants that he wants to plant into r rows. Write an algebraic expression that represents how many plants will be in each row.
40/r
• 4. Order of Operations
• Never goes away! 
• Parenthesis and Exponents
• Multiplication and Division
• 5. Order of Operations
• EX: 2 3 – 4(-7 + 10) + 6
• 8 – 4(3) + 6
• 8 – 12 + 6
• -4 + 6
• 2
• 6. Simplifying Algebraic Expressions
• EX: Simplify 3x*2 2 + 5x – 8/2
• 3x*4 + 5x – 8/2
• 12x + 5x – 4
• 17x - 4
EX: Simplify (-3) 2 – 6y + 2y(5) -10 YOU TRY! 9 – 6y + 2y(5) – 10 9 – 6y + 10y – 10 4y – 1 (Did you get it?  )
• 7. The Distributive Property
• Allows us to simplify expressions when you can’t use order of operations.
EX: Distribute the expression 5(r + 12) 5r + 5*12 5r + 60
• 8. Let’s Put it All Together!
• EX: Simplify 2 – 3(t + 5) + 4 3 - 60t/5
• 2 – 3(t + 5) + 64 – 60t/5
• 2 – 3t – 15 + 64 – 12t
• -15t + 51
• 9. Let’s Try a Word Problem
• Sharon has \$125 in a savings account and is spending \$8 each week on lunch at school.
• How much will she have left after w weeks? A: \$125 - \$8w
• How much will she have after 5 weeks?
• A: \$125 - \$8(5) = \$125 - \$40 = \$85
• What equation can be written to find out how many weeks it will take for her to have \$45 left?
• A: \$45 = \$125 - \$8w