simplifying algebraic expression

• Yesterday, we started Unit 2 and discussed writing equations using symbols

• How did you do with IXL skill S.1, S.2, and S.3???

• MAP Testing

• No Live Class – Week of October 26th

Housekeeping

Simplifying Algebraic Expressions

Learn to combine like terms in an expression. Goal for today…..

Agenda: Review Like Terms Simplifying an

Algebraic Expression Distribution Solving an Algebraic

Equation

ReviewWrite each of the following statements using symbolic language.

1. The sum of three consecutive integers is 1,623


2. One number is six more than another number. The sum of their squares is 90.


3. Janet is three years older than her sister Julie. Janet’s brother is eight years younger than their sister Julie. The sum of all of their ages is 55 years

Terms in an expression are separated by plus or minus signs.

Like terms can be grouped together because they have the same variable raised to the same exponents.

Constants such as 4, 0.75, and 11 are like terms because none of them have a variable.

Helpful Hint




Equation

To simplify an expression, perform all possible operations, including combining like terms.

14a – 5a

Combining Like Terms To Simplify

Combining Like Terms To Simplify7y2 + 8 – 3y2 – 1 + y

Combining Like Terms in Two-Variables Expressions

Combine like terms.5t2 + 7p – 3p – 2t2

Combining Like Terms in Two-Variables Expressions

Combine like terms.4m3 + 9n – 2

1. Combine like terms. 4p + 13 + 11p

A. 15p2 + 13B. 15p + 13C. 28pD. 28

2. Combine like terms. 15t + 9 – 7s + 10 + 5t A. 15t – 7s – 1B. 15t – 7s + 1C. 20t – 7s + 19D. 20t + 7s + 19

Did you know?????




Equation

The Distributive Property states that a(b + c) = ab + ac for all real numbers a, b, and c.

For example, 2(3 + 5) = 2(3) + 2(5).

Remember!

Using the Distributive Property to Simplify

Simplify 6(5 + n) – 2n.

Using the Distributive Property to Simplify

Simplify 3(c + 7) – c.




Equation

Combining Like Terms to Solve Algebraic Equations

Solve x + 3x = 48.

Combining Like Terms to Solve Algebraic Equations

Solve 7c – c = 102.

3. Simplify 7(4m + 9) – 9m.

A. 19m + 9B. 19m + 63C. 37m + 9D. 37m + 63

4. Solve 11v + 2v = 65.

A. v = 2B. v = 5C. v = 7D. v = 11




Equation

WRAP UP

What did we do today????

• Identified Like Terms• Combined Like Terms• Simplified an Algebraic Expression• Distributed• Solved an Algebraic Equation

IXL Practice:

IXL Skill S.9 - Identify Terms and Coefficients IXL Skill S.10 - Add and Subtract Like Terms IXL Skill S.11 – Add, Subtract, and Multiply Linear

Expressions

simplifying algebraic expression

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