• 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
Learn to combine like terms in an expression.
Agenda:
 Review
 Like Terms
 Simplifying an
Algebraic Expression
 Distribution
 Solving an Algebraic
Equation
Write each of the following statements using symbolic
language.
1. The sum of three consecutive integers is 1,623
Write each of the following statements using symbolic
language.
2. One number is six more than another number. The sum
of their squares is 90.
Write each of the following statements using symbolic
language.
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
Learn to combine like terms in an expression.
Agenda:
 Review
 Like Terms
 Simplifying an
Algebraic Expression
 Distribution
 Solving an Algebraic
Equation
To simplify an
expression, perform all
possible operations,
including combining
like terms.
14a – 5a
Combining Like Terms To Simplify
Combining Like Terms To Simplify
7y2 + 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 + 13
B. 15p + 13
C. 28p
D. 28
2. Combine like terms.
15t + 9 – 7s + 10 + 5t
A. 15t – 7s – 1
B. 15t – 7s + 1
C. 20t – 7s + 19
D. 20t + 7s + 19
Learn to combine like terms in an expression.
Agenda:
 Review
 Like Terms
 Simplifying an
Algebraic Expression
 Distribution
 Solving an Algebraic
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.
Learn to combine like terms in an expression.
Agenda:
 Review
 Like Terms
 Simplifying an
Algebraic Expression
 Distribution
 Solving an Algebraic
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 + 9
B. 19m + 63
C. 37m + 9
D. 37m + 63
4. Solve
11v + 2v = 65.
A. v = 2
B. v = 5
C. v = 7
D. v = 11
Learn to combine like terms in an expression.
Agenda:
 Review
 Like Terms
 Simplifying an
Algebraic Expression
 Distribution
 Solving an Algebraic
Equation
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

  • 1.
    • Yesterday, westarted 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
  • 3.
    Learn to combinelike terms in an expression. Agenda:  Review  Like Terms  Simplifying an Algebraic Expression  Distribution  Solving an Algebraic Equation
  • 4.
    Write each ofthe following statements using symbolic language. 1. The sum of three consecutive integers is 1,623
  • 5.
    Write each ofthe following statements using symbolic language. 2. One number is six more than another number. The sum of their squares is 90.
  • 6.
    Write each ofthe following statements using symbolic language. 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
  • 7.
    Terms in anexpression are separated by plus or minus signs.
  • 8.
    Like terms canbe grouped together because they have the same variable raised to the same exponents.
  • 9.
    Constants such as4, 0.75, and 11 are like terms because none of them have a variable. Helpful Hint
  • 10.
    Learn to combinelike terms in an expression. Agenda:  Review  Like Terms  Simplifying an Algebraic Expression  Distribution  Solving an Algebraic Equation
  • 11.
    To simplify an expression,perform all possible operations, including combining like terms.
  • 12.
    14a – 5a CombiningLike Terms To Simplify
  • 13.
    Combining Like TermsTo Simplify 7y2 + 8 – 3y2 – 1 + y
  • 14.
    Combining Like Termsin Two-Variables Expressions Combine like terms. 5t2 + 7p – 3p – 2t2
  • 15.
    Combining Like Termsin Two-Variables Expressions Combine like terms. 4m3 + 9n – 2
  • 16.
    1. Combine liketerms. 4p + 13 + 11p A. 15p2 + 13 B. 15p + 13 C. 28p D. 28 2. Combine like terms. 15t + 9 – 7s + 10 + 5t A. 15t – 7s – 1 B. 15t – 7s + 1 C. 20t – 7s + 19 D. 20t + 7s + 19
  • 18.
    Learn to combinelike terms in an expression. Agenda:  Review  Like Terms  Simplifying an Algebraic Expression  Distribution  Solving an Algebraic Equation
  • 19.
    The Distributive Propertystates that a(b + c) = ab + ac for all real numbers a, b, and c. For example, 2(3 + 5) = 2(3) + 2(5). Remember!
  • 20.
    Using the DistributiveProperty to Simplify Simplify 6(5 + n) – 2n.
  • 21.
    Using the DistributiveProperty to Simplify Simplify 3(c + 7) – c.
  • 22.
    Learn to combinelike terms in an expression. Agenda:  Review  Like Terms  Simplifying an Algebraic Expression  Distribution  Solving an Algebraic Equation
  • 23.
    Combining Like Termsto Solve Algebraic Equations Solve x + 3x = 48.
  • 24.
    Combining Like Termsto Solve Algebraic Equations Solve 7c – c = 102.
  • 25.
    3. Simplify 7(4m +9) – 9m. A. 19m + 9 B. 19m + 63 C. 37m + 9 D. 37m + 63 4. Solve 11v + 2v = 65. A. v = 2 B. v = 5 C. v = 7 D. v = 11
  • 26.
    Learn to combinelike terms in an expression. Agenda:  Review  Like Terms  Simplifying an Algebraic Expression  Distribution  Solving an Algebraic Equation
  • 27.
    What did wedo today???? • Identified Like Terms • Combined Like Terms • Simplified an Algebraic Expression • Distributed • Solved an Algebraic Equation
  • 28.
    IXL Practice:  IXLSkill 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