TC:Name: ____________________________________________ Period: ________Pre-Algebra
Objective: to be able to simplify algebraic expressions
Algebraic expressions - mathematical phrase that uses variables, numerals, and operations
Example: 2x + 4
18m – 7 + 12m
5(3t)
Non example: 2x =5
CFU: Make your own example of algebraic expression.
TERM – LIKE TERMS– CONSTANT
TERM – the number or the product of a number and variable(s)
CONSTANT – a term without variable
COEFFICIENT – a number that multiplies a variable (a partner of a variable)
LIKE TERMS-In
the same variables
7a + 2,
Terms : _________________ Coefficient: _______________
In
Constant: ________________
3m – 2n + n - 4
Terms : ________________ Coefficients: ______________Like Terms: ________________
CFU:
What is a term?
What is coefficient?
What are like terms?
Give example of like terms:
Identifying terms, coefficients and like terms:
I DO:
Coefficients
Like terms
Constant
Coefficients
Like terms
Constant
Coefficients
Like terms
Constant
1) 4x + 3x + 1
2) -3s + 6s
We do:
3) 9m + 2r – 2m
4) 3a + 2 + 4a -1
You do:
5) 6y + 4m -7y + m
SIMPLIFYING ALGEBRAIC EXPRESSIONS
When you simplify expressions,
Just combine the “like terms”
CFU: How do we simplify expressions?
STEPS:
1) Enclosed the like terms (O) ( ) ( )
2) Combine like terms
I DO:
WE DO:
YOU DO:
1) 4x + x + 1
4) 12m – 5 + 10m
6) -2b + b
2) 2r – 5 + 6r
5) 4a – 3 + 5a
7) 8z + 8y + 3z
3) 4m + 3d - 5m + d
8) 9y – 3y + 12y
TC :Name: ____________________________________________ Period: ________Pre-Algebra
Objective: to be able to simplify algebraic expressions
Algebraic expressions - mathematical phrase that uses variables, numerals, and operations
Example:
2x + 4
Non example:
2x =5
18m – 7 + 12m
5(3t)
CFU: Make your own example of algebraic expression.
TERM – LIKE TERMS– CONSTANT
TERM – the number or the product of a number and variable(s)
CONSTANT – a term without variable
COEFFICIENT – a number that multiplies a variable (a partner of a variable)
LIKE TERMS- the same variables
a) 7a + 2
b)
3m – 2n + n - 4
Terms : __________ Coefficient: ______
Terms : __________ Coefficient: ______
Constant: ________ Like terms: _______
Constant: ________ Like terms: _______
CFU:
What is a term?
What is coefficient?
What are like terms?
Give example of like terms:
Identifying coefficients and like terms and constants.
Coefficients
Like terms
Constant
1) 4x + 3x + 1
___________
__________
_______
2) -3s + 6s
___________
__________
_______
3) 9m + 2r – 2m
___________
__________
_______
4) 3a + 2 + 4a -1
___________
__________
_______
5) 6y + 4m -7y + m
___________
__________
_______
6) 1y + 4 + 3y – 5 + 2y
___________
__________
_______
SC :___________Name: ____________________________________________
Pre-Algebra
Objective: to be able to __________________________________________
Algebraic expressions - mathematical phrase that uses ________________________________________
Example:
2x + 4
Non example:
2x =5
18m – 7 + 12m
5(3t)
TERM – LIKE TERMS– CONSTANT
TERM – the____________________ or the product of a ________________________
CONSTANT – a term _______________________________
COEFFICIENT – a ________________________ a variable (a partner of a variable)
LIKE TERMS- the ___________________________
b)
a) 7a + 2
b)
3m – 2n + n - 4
Terms : __________ Coefficient: ______
Terms : __________ Coefficient: ______
Constant: ________ Like terms: _______
Constant: ________ Like terms: _______
SC :___________Name: ____________________________________________
Pre-Algebra
Objective: to be able to __________________________________________
Algebraic expressions - mathematical phrase that uses ________________________________________
Example:
2x + 4
Non example:
2x =5
18m – 7 + 12m
5(3t)
TERM – LIKE TERMS– CONSTANT
TERM – the____________________ or the product of a ________________________
CONSTANT – a term _______________________________
COEFFICIENT – a ________________________ a variable (a partner of a variable)
LIKE TERMS- the ___________________________
a) 7a + 2
b)
3m – 2n + n - 4
Terms : __________ Coefficient: ______
Terms : __________ Coefficient: ______
Constant: ________ Like terms: _______
Constant: ________ Like terms: _______
Identifying coefficients and like terms and constants.
Coefficients
Like terms
Constant
1) 4x + 3x + 1
___________
__________
_______
2) -3s + 6s
___________
__________
_______
3) 9m + 2r – 2m
___________
__________
_______
4) 3a + 2 + 4a -1
___________
__________
_______
5) 6y + 4m -7y + m
___________
__________
_______
6) 1y + 4 + 3y – 5 + 2y
___________
__________
_______
Coefficients
Like terms
Constant
1) 4x + 3x + 1
___________
__________
_______
2) -3s + 6s
___________
__________
_______
3) 9m + 2r – 2m
___________
__________
_______
4) 3a + 2 + 4a -1
___________
__________
_______
5) 6y + 4m -7y + m
___________
__________
_______
6) 1y + 4 + 3y – 5 + 2y
___________
__________
_______
Identifying coefficients and like terms and constants.
TC: _______ Name: ________________________ Pre-Algebra
Objective: to be able to simplify algebraic expressions by combining the like terms
LIKE TERMS- terms with the same variables
Example:
3x + 7x
7a – 2a
Non-example:
3x + 3
2b – 9c
2–9
SIMPLIFYING ALGEBRAIC EXPRESSIONS
STEPS:
1) Do distributive property , if any
2) Rewrite the like terms together
3) Combine the like terms
CFU: How do we simplify expressions?
Simplify the following algebraic expressions.
1) 4x + 2x
2) 12m – 5 + 10m + 10
3) -2b + 8 - 8b
4) 2r – 5 + 6r + 15
7) 2d + 3(d - 8)
8) 4(a - c) + 10c
With distributive property
5) 3(a + 5) – 10
6) 4(x+3) + 9
Independent practice:
Simplify the following algebraic expressions.
1) 4a – 3 + 5a
2) 8z + 8y + 3z – 12y
3)4m + 3d - 5m + d
4) 9y – 3y + 12y
5) 5(b - 5) + 1
6) -3 (c + 6) - 9
7) 6d + 3(y - 2)
8) 2(b - d) + 10d
SC: _______ Name: ________________________ Pre-Algebra
Objective: to be able to simplify algebraic expressions by _____________________________
___________ TERMS- terms with the ________________
Example:
3x + 7x
7a – 2a
Non-example:
3x + 3
2b – 9c
2–9
SIMPLIFYING ALGEBRAIC EXPRESSIONS
STEPS:
1) Do_______________________________ , if any
2) Rewrite the ___________________________
3) _________________________ the like terms
CFU: How do we simplify expressions?
Simplify the following algebraic expressions.
1) 4x + 2x
2) 12m – 5 + 10m + 10
3) -2b + 8 - 8b
4) 2r – 5 + 6r + 15
SC: _______ Name: ________________________ Pre-Algebra
Objective: to be able to simplify algebraic expressions by _____________________________
___________ TERMS- terms with the ________________
Example:
3x + 7x
7a – 2a
Non-example:
3x + 3
2b – 9c
2–9
SIMPLIFYING ALGEBRAIC EXPRESSIONS
STEPS:
1) Do_______________________________ , if any
2) Rewrite the ___________________________
3) _________________________ the like terms
CFU: How do we simplify expressions?
Simplify the following algebraic expressions.
1) 4x + 2x
2) 12m – 5 + 10m + 10
3) -2b + 8 - 8b
4) 2r – 5 + 6r + 15
With distributive property
5) 3(a + 5) – 10
6) 4(x+3) + 9
7) 2d + 3(d - 8)
8) 4(a - c) + 10c
Independent practice:
Simplify the following algebraic expressions.
1) 4a – 3 + 5a
2) 8z + 8y + 3z – 12y
3)4m + 3d - 5m + d
4) 9y – 3y + 12y
5) 5(b - 5) + 1
6) -3 (c + 6) - 9
7) 6d + 3(y - 2)
8) 2(b - d) + 10d
6) 4(x+3) + 9
7) 2d + 3(d - 8)
With distributive property
5) 3(a + 5) – 10
8) 4(a - c) + 10c
Independent practice:
Simplify the following algebraic expressions.
1) 4a – 3 + 5a
2) 8z + 8y + 3z – 12y
3)4m + 3d - 5m + d
4) 9y – 3y + 12y
5) 5(b - 5) + 1
6) -3 (c + 6) - 9
7) 6d + 3(y - 2)
8) 2(b - d) + 10d