SWBAT… simplify algebraic expressions

Agenda

1. Warm-up (10 min)

2. Review hw#1 (15 min)

3. Combining like terms / practice (15 min)

4. OYO (On Your Own) practice problems (5 min)

Warm-Up:

HW#2: Simplifying algebraic expressions

Tues, 9/13

Algebraic ExpressionsObjective: To combine like terms to simplify expressions

Infinity HSMs. Sophia Papaefthimiou

Like Terms are terms with the same variable AND the same exponent.

Example #1:

Simplify: 5x – 4x2 – 7x + 14x2

Answer: 10x2 – 2x

To simplify expressions with like terms, simply combine the like terms.

Are these like terms?

1) 13k, 22kYes, 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.

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

Warm-Up: Simplify each expression

1.) Which of the following is the simplified form of -4x + 7x ?

1. -4

2. 3x

3. -3x

4. 4

Don’t forget the negative!

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

1. 12x + 18

2. -2x + 10

3. 2x – 18

4. 12x – 18

3.) -4d – 6a2 +2d – 12a2

-18a2 – 2d

3y

4y

45.)

3y

4

1y

4

4y

41y

y

8x 2 2x2 5a a10x2 6a

4.)

OYO (On Your Own) Problems

1. 5(z – 3) + 4z

2. 4(y2 + 8y – 2) – y2 + y

3. 5(3x – 7) – 6x

4. 7(4x2 + 3x) + 2(5x2 + x)

5. 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

SWBAT… simplify algebraic expressionsAgenda

1. WU (15 min)

2. 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?

Wed, 9/14

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

Warm-Up: Simplify each expression

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

Answer Now

1.

2.

3.

4.

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