SWBAT… simplify algebraic expressions

Slides:

Advertisements

Similar presentations

The Distributive Property The process of distributing the number on the outside of the parentheses to each term on the inside. a(b + c) = ab + ac a(b -

Advertisements

Objective The student will be able to: use the distributive property to simplify expressions. Designed by Skip Tyler, Varina High School and Nicole Kessinger,

Distributive Property

Section I: Distributive Property Section II: Order of Operations.

Bell Work Simplify the expression: 1. 2(x +4) 2. 4x + 3y – x + 2y 3. 3(x – 6) x Answers: 2x+ 8 3x + 5y 11x – 14.

7.2 Properties of Rational Exponents OBJ: use properties of rational exponents & radicals and write expressions in simplest form Do Now: Simplify a)(-5)

The Distributive Property & Combining Like Terms.

Lesson 1 Algebraic Properties of Equality and Identity

Writing Linear Equations

SWBAT… compute problems involving zero & negative exponents Mon, 4/4 Agenda 1. WU (5 min) 2. Midterms Results/ Calendar / Reminders / Expectations (10.

SWBAT… define and evaluate functions Agenda 1. Warm-Up (5 min) 2. Quiz – piecewise functions (6 min) 3. Notes on functions (25 min) 4. OYO problems (10.

Distributive Property Objective: Use the distributive property to simplify expressions.

SWBAT… take the Algebra I REACH performance task Agenda 1. WU (5 min) 2. Performance Task (30 min) 3. Top Algebra Mistakes (15 min) Warm-Up: 1. Take out.

Unit 2: Algebra Lesson 1 – Introduction to Polynomials Learning Goals: I can simplify polynomial expressions.

Wed, 1/5 SWBAT… write equations using standard and point-slope form Agenda 1.Quiz (20 min) 2.Review quiz and hw (15 min) 3.Standard form review – 2 examples.

SWBAT… review exponents Tues, 4/9 Agenda 1. WU (10 min) 2. Exponent review (25 min) Warm-Up: 1. Write your HW in your planner for the week 2. Write the.

SWBAT… present Agenda 1. WU (5 min) 2. Ithaca Car Sharing presentations (40 min) Warm-Up: Grab an agenda from the front table and read it (front and back)

Lesson 3: More with Combining Like Terms

Answer: -3 if x ≥ -4 f(x) = -x if x ≤ -1.

Objective The student will be able to: use the distributive property to simplify expressions.

ALGEBRA 1 HELP Warm Ups 1.) 2(-4)(-6) 2.) s 2 t ÷ 10 if s = -2 and t = 10 3.) (-3) ) -52 ⁄ ) What is the multiplicative inverse of - ⅗.

The Distributive Property and Terms. A term is a 1) number, 2) variable, or 3) a product / quotient of numbers and variables. Example 5 m 2x 2.

Exponent Quiz Review. Evaluate the expression 4 2  Answer: 16.

EQ: How can you evaluate negative exponents?

SWBAT… solve one-step equations

SWBAT… to simplify expressions by combining like terms Agenda 1. Notes on simplifying expressions (40 min) 2. Exit slip – (this will be collected at the.

Quiz: Complete on a sheet of paper Write in slope-intercept form: 1.)2x – 3y = 122.) x = 2 + 3y Write the slope-intercept form of an equation of the line.

Like Terms are terms with the same variable AND exponent. To simplify expressions with like terms, simply combine the like terms.

Combining Like Terms, Add/Sub Polynomials and Distributing Tammy Wallace Varina High.

Do Now 10/2/09 Take out HW from last night. Take out HW from last night. Text p.81, #10-21 all, #33-35 all Text p.81, #10-21 all, #33-35 all Copy HW in.

1-5 Simplifying Algebraic Expressions Do Now Evaluate each algebraic expression for y = y + y2. 7y 3. 10y – 4y4. 5y 2 + y

Objective The student will be able to: Combine like terms to simplify expressions. Use the distributive property to simplify expressions. Simplify expressions.

The Distributive Property The process of distributing the number on the outside of the parentheses to each term on the inside. a(b + c) = ab + ac and(b.

Agenda 1. Warm-up (10 min) 2. 3 practice problems - evaluating expressions (20 min) 3. Notes on expressions (10 min) 4. Exit slip (10 min) Warm-Up: Evaluate.

The DISTRIBUTIVE PROPERTY Obj: The student will be able to: or TSWBAT: use the distributive property to simplify expressions. Sullivan MKSH 2011.

Write an expression which represents the perimeter of the rectangle?

Section I: Distributive Property Section II: Order of Operations

Objective The student will be able to:

Objective The student will be able to:

Objective EQ: How do I simplify expressions using orders of operations and the distributive property I will: be able to use the distributive property to.

I can use the distributive property to rewrite algebraic expressions.

The Distributive Property

1.5 The Distributive Property

The Distributive Property

The Distributive Property Expressions and Equations

The Distributive Property

The Distributive Property

Objective The student will be able to:

Slots A B C D E. Solve the 2 step equation: -2x + 8 = 50.

Do Now Write down any math properties you know and give an example. (ex. Commutative) Write down any similarities or differences between expressions and.

SWBAT… solve multi-step equations

Warmup Convert to radical form: 2. Convert to rational form:

Distributive Property Section 2.6

SWBAT… use the distributive property to simplify expressions

Combining Like-Terms with Perimeter and Area

Objective The student will be able to:

Warm-up Simplify: 2

Objective The student will be able to:

Today 9/24 1st Half 2nd Half Notes on CCML

Objective The student will be able to:

Objective The student will be able to:

Title of Notes: Combining Like Terms & Distributive Property

The Distributive Property

Objective The student will be able to:

Objective The student will be able to:

Objective The student will be able to:

Do Now: Simplify the algebraic expression 16y6 + 4y4 – 13y

Objective The student will be able to:

Objective: SWBAT simplify algebraic expressions by combining like terms.

Bonus! Which of the following is the simplified form of (a + 3a) - 4(9 - a) ? -36 3a a a + 36 Answer Now.

Presentation transcript:

SWBAT… simplify algebraic expressions Tues, 9/13 Agenda Warm-up (10 min) Review hw#1 (15 min) Combining like terms / practice (15 min) OYO (On Your Own) practice problems (5 min) Warm-Up: HW#2: Simplifying algebraic expressions 1

Infinity HS Ms. Sophia Papaefthimiou Algebraic Expressions Objective: To combine like terms to simplify expressions Infinity HS Ms. Sophia Papaefthimiou

Like Terms are terms with the same variable AND the same exponent. To simplify expressions with like terms, simply combine the like terms. Example #1: Simplify: 5x – 4x2 – 7x + 14x2 Answer: 10x2 – 2x

Are these like terms? 1) 13k, 22k 2) 5ab, 4ba Yes, the variables are the same. 2) 5ab, 4ba Yes, the order of the variables doesn’t matter. (Commandment #9) 3) x3y, xy3 No, the exponents are on different variables.

WARNING!!!! You calculate the answer using the sign that is to the left of the number or variable.

Warm-Up: Simplify each expression 1) 5a2 + 7a Simplified 2) -4x2y + x2y – x2y + x2 -4x2y + x2 3) 3m2n + 10mn2 – 7m2n – 4mn2 + 9m -4m2n + 6mn2 + 9m 4) a + 3a – 4(9 – a) 8a – 36 5) If a triangle has sides 3x – 2, 5 – x and 2x – 5, what is the perimeter of the triangle? 4x – 2

1.) Which of the following is the simplified form of -4x + 7x ? Don’t forget the negative!

2.) Which of the following is the simplified form of 5x – 4 – 7x + 14 ?

3.) -4d – 6a2 +2d – 12a2 -18a2 – 2d 4.) 5.) y

OYO (On Your Own) Problems 5(z – 3) + 4z 4(y2 + 8y – 2) – y2 + y 5(3x – 7) – 6x 7(4x2 + 3x) + 2(5x2 + x) 8x + 2[5 – (x – 3)] Step 1: Distribute the -1 first (inside the brackets) Step 2: Combine the like terms inside the brackets Step 3: Distribute the 2 1. 5z – 15 + 4z = 9z – 15 (combine like terms!) 4y2 + 32y – 8 – y2 + y = 3y2 + 33y – 8 (combine like terms!) 9x – 35 10

SWBAT… simplify algebraic expressions Wed, 9/14 Agenda WU (15 min) Review HW#2 (20 min) Warm-Up: If simplified, write “simplified” 1) 5a2 + 7a 2) -4x2y + x2y – x2y + x2 3) a + 3a – 4(9 – a) 4) If a triangle has sides 3x – 2, 5 – x and 2x – 5, what is the perimeter of the triangle? 11

Warm-Up: Simplify each expression 1) 5a2 + 7a Simplified 2) -4x2y + x2y – x2y + x2 -4x2y + x2 3) a + 3a – 4(9 – a) 8a – 36 4) If a triangle has sides 3x – 2, 5 – x and 2x – 5, what is the perimeter of the triangle? 4x – 2

Which figure below models the simplification of -4x – 5 + 7x + 7 using these tiles? Answer Now

Let’s review the back of the agenda before we begin the quiz.