Fri 99 SWBAT solve onestep equations Agenda 1

Fri, 9/9 SWBAT… solve one-step equations Agenda 1. WU (10 min) 2. Review back of agenda (15 min) 3. Organize binder (20 min) WU: Solve each equation (show all your work!): 1. 2. 3. 4.

Homework 1. 2. 3. 4. 5. 6. Do the 15 Math Commandments Actively read the math study skills Actively read and study the arithmetic rules/ common words See if you can find all the homework by following the directions from the handout given in class. Review PPT 2: Evaluating algebraic expressions Review PPT 3: Distributive property

Mon, 9/12 SWBAT… evaluate algebraic expressions Agenda 1. WU (10 min) 2. Evaluating expressions – 5 problems (10 min) 3. Notes on expressions – 3 slides (15 min) 4. Practice problems on evaluating expressions – 3 problems (10 min) Warm-Up: 1. Introduce yourselves to your table 1. Tell each other your name, the school you attend and what you like to do in your free time 2. Take out the back of last week’s agenda and review the answers with your table 3. Take out the 15 Commandments and answer each others questions on any of the commandments 4. On the back of the 15 Commandments, write any questions you have about anything we have done in class so far (I will collect this sheet & answer your questions) HW#1: Evaluating algebraic expressions

Evaluate the following expressions when a = 2, b = 3, and c = -4 1. ) a – 2 c 3. ) a 2 + c 2 2. ) 4. ) 5. ) In your own words, explain what it means to evaluate an expression.

In your own words, explain what it means to evaluate an expression. My words: To replace each letter in the expression with the assigned value.

A number next to a letter MULTIPLY!!!!! means to ______ 2 × a = (2)(a) = 2∙a = 2*a = 2 a This is a multiplication sign, not the variable x

New Unit: Expressions & Equations 1. Algebraic expressions and formulas 1. 2. Evaluating expressions (HW#1) Simplifying algebraic expressions (HW#2) 1. 2. Linear equations in one variable 1. 2. 3. 4. 5. 6. 3. Distributive property Combining like terms Solving two-step equations (HW#3) Solving multi-step equations using the distributive property and combining like terms (HW#4) Solving multi-step equations with variables on both sides (HW#5) Solving multi-step equations involving fractions (HW#5) Solving multi-step equations with no solutions or infinite solutions (HW#7) Solving literal equations (HW#8) Applications of linear equations (HW#6) 1. 2. Renting a car Education pays off

Expressions – Vocabulary n An algebraic expression consists of sums and/or products of numbers and variables. ¨ i. e. x 3 + x 2 n 3 xy 3 + 2 xyz – 4 0. 10 d A term is either a single number or variable, or the product of several numbers or variables separated from another term by a + or – sign in an expression. ¨ For example, in 3 + 4 x + 5 yzw ¨ 3, 4 x, and 5 yzw are all terms n n n The variable term is the term that contains the variables. The constant term is a term that does not have a variable. The coefficient of a term is the numerical part (the number to the left of the variable)

n Example: 1. x 2 + 5 x + 6 Is this an expression or equation? Expression 2. What are the terms? x 2 , 5 x, 6 3. What are the variable terms? x 2, 5 x 4. What is the constant term? 6 5. What are the coefficients? 1, 5

Example: a 2 – 4 a + 3 Algebraic equation or expression: Terms: Variable terms: Constant term: Coefficients: Warning!!! Always take the sign that is in front of the coefficient!

Evaluating an Algebraic Expression P E M/D A/S 1. ) Evaluate 7 + 5(x – 4)3 for x = 6 7 + 5(6 – 4)3 Replace x with 6 Parenthesis first: 6 – 4 = 2 7 + 5(2)3 Exponents: (2)3 = (2)(2)(2) = 8 7 + 5(8) Multiply: 5(8) = 40 7 + 40 Add: 7 + 40 = 47 47

Evaluating an Algebraic Expression P E M/D A/S 2. ) Evaluate x 2 + 5 x – 3 for x = -6 (-6)2 + 5(-6) – 3 Replace x with -6 36 + 5(-6) – 3 Exponents: (-6)2 = (-6) = 36 36 + (-30) – 3 Multiply: 5(-6) = -30 Add and subtract from left to right 6– 3 36 + (-30) = 6 3

Evaluating an Algebraic Expression P E M/D A/S 3. ) Evaluate -2 x 2 + 5 xy – y 3 for x = 4 and y = -2 -2(4)2 + 5(4)(-2) – (-2)3 Replace x with 4 and y with -2 -2(16) + 5(4)(-2) – (-8)Exponents: (4)2 = 16, (-2)3 = -8 -32 + (-40) – (-8) Mult: -2(16) = -32, 5(4)(-2) = -40 Add and subtract from left to right -72 – (-8) -32 + (-40) = -72 -64

n Work on HW#1 – Evaluating expressions