Algebraic Expressions

4/25 - Algebraic Expressions

T1 - Evaluate numeric and algebraic expressions

T2 - Generate equivalent expressions

Combine Like Terms

Terms: the "words" in a math sentence

Like Terms: terms that have the same variable raised to the same power.

Multiple Choice

How many terms are in the following expression?

3x + y + 42

• 2 terms

• 3 terms

• 4 terms

Multiple Choice

How many terms are in the following expression?

5 - 72x + 43y - 109 + 5z

• 3 terms

• 4 terms

• 5 terms

• 6 terms

Multiple Choice

Combine like terms.

3x + 2x + 7

• 12x

• 5x + 7

• 14x

• 3x + 2x + 7

Multiple Choice

Combine like terms.

$$3x^2+3y+4-2y+x$$  

• $$4x^2+1y+4$$  

• $$3x^2+1y+4+x$$  

• $$3x^2+3y+4-2y+x$$  

• 13xy

Distributive Property

• Remember: "Distribute" means to share

• Share (by multiplying) what is on the outside with EVERYTHING that is on the inside.

Multiple Choice

Use the Distributive Property.

2(3x+4)

• 8x+24x

• 6x

• 6x+4

• 6x+8

Fill in the Blank

3(7x+10)

Fill in the Blank

10(x+4)

Open Ended

3-MINUTE BRAIN BREAK!!

Try to solve the riddle, stand up and stretch, get a drink, etc.

I am tall when I am young, and I am short when I am old. What am I?

Type in your answer.

Factoring

• Think "reverse of Distributive Property"

• Instead of sharing, we are taking things away by dividing

Multiple Choice

What is the most we can take away (divide) from BOTH numbers?

12 and 4

• 2

• 4

• 6

• 8

Multiple Choice

What is the most we can take away (divide) from BOTH numbers?

12 and 20

• 2

• 4

• 5

• 10

Multiple Choice

Use factoring to take out the most that you can.

10 + 12

• 5(2+12)

• 2(5+6)

• 4(4+3)

• 1(10+12)

Multiple Choice

Use factoring to take out the most that you can.

12x + 16

• 2(6x+8)

• 12(1x+2)

• 3(4x+6)

• 4(3x+4)

Fill in the Blank

Use factoring to take out the most that you can.

2x + 8

Prime Factorization

Multiple Choice

What is the Prime Factorization of 140?

• 2² * 5 * 3

• 2 * 5 * 7
• 2² * 7

• 2² * 5 * 7

Multiple Choice

Which of the sets of expressions is equivalent?

• 3(2x+5) and 6x+5

• 2(3x+5) and 6x+15

• 3(2x+5) and 6x+10

• 2(3x+5) and 6x+10

Math Response

Determine the value of the expression below.

9 + 3(10 $$\div$$ 2) - 5²

Type answer here

Correct Answer: -1

Deg^°

Rad

Multiple Choice

Amanda simplifies the following expression and shows homework below. What mistake did Amanda make that resulted in an incorrect answer?

$$14\ -8\ \div\ 2\ +3\cdot4$$

$$14\ -\ 4\ +\ 3\cdot4$$

14 - 7 x 4

14 - 28

-14

• She added before multiplying

• She subtracted before adding

• She multiplied before dividing

• She added before dividing

Poll

How do you feel about simplifying algebraic expressions?

• I feel pretty good!

• I think I understand most of it.

• I have some questions.

• I'm really struggling.