7.3 – Simplifying Algebraic Expressions
Objective…
Part A: Algebraic expressions can be simplified.
a)
A straw of length y inches is joined to another straw of the same length. What
is the total length of the two straws?
Draw a bar model…

The total length of the two straws is: _________________

______________ simplifies to _______________

______________ the 2 is called the coefficient of y.
b)
Each side of a triangle below has length p centimeters. Find the perimeter of
the triangle in terms of p. Then state the coefficient of the variable.
Draw a bar model…
c)
The figure shows six rods and their lengths. Find the total length of the six
rods in terms of z. Then state the coefficient of the variable in the
expression.
Draw a bar model…
7.3 – Simplifying Algebraic Expressions
What’s our thought process when we simplify algebraic expressions?
Practice…
1)
A square has sides of length x centimeters. Find the perimeter of the square in
terms of x.
Perimeter: _________________________
2)
The figure shows a trapezoid. The length of each side is given as shown. Find
the perimeter of the trapezoid in terms of w.
Perimeter: _________________________
Part B: Like terms can be added.
Simplify
3x + x
4z + 2z
6y + y
Bar Model
Simplified Expression
7.3 – Simplifying Algebraic Expressions
Practice…simplify each expression
1)
x + 8x:
__________________
2)
3r + 2r: __________________
3)
5y + 6y: __________________
Practice…state whether each pair of expressions are equivalent
1)
3a and a + a + a:
__________________
2)
2h + 2h and 4h:
__________________
3)
2k + 5 and (k + k) x 5:
__________________
4)
1p + 3p and 13p:
__________________
5)
6z + 4z and 10 + 2z:
__________________
6)
3n + 2 + 4n and 2 + 7n:
__________________
Part C: Like terms can be subtracted.
Simplify
2v – v
Bar Model
5w – 3w
y–y
Practice...simplify
1)
4s – s:
__________________
2)
12z – 7z:
__________________
3)
3p – 3p:
__________________
Simplified Expression
7.3 – Simplifying Algebraic Expressions
Practice…state whether each pair of expressions are equivalent
1)
f – 6 and 6 – f:
__________________
2)
5c – 5c and a – a:
__________________
3)
3y – 2y and 7y – 6y: __________________
Part D: Use order of operations to simplify algebraic expressions.
a)
Simplify x + 6 x + 2x: __________________
b)
Simplify 7x – 5x – x: __________________
c)
Simplify 9x – 3x – 2x: __________________
Practice…simplify each expression
1)
j + 3j + 2j:
__________________
2)
9y – 3y – 4y:
__________________
3)
8w – 6w + 3w:
__________________
4)
4j + 5j + 2j:
__________________
5)
5c – c – 4c:
__________________
6)
7w + 2w – 6w:
__________________
Part E: Collect like terms to simplify algebra expressions.
a)
The figure shows a parallelogram. Find the perimeter of the parallelogram.
Perimeter: __________________
b)
Simplify 5x – 2 + 3x: __________________
7.3 – Simplifying Algebraic Expressions
Practice…simplify
1)
The figure shows a quadrilateral. Find the perimeter of the quadrilateral.
Perimeter: __________________
2)
4x - 3 + 3x:
__________________
3)
8y – 7 – 4y:
__________________
4)
5 + 11z – 4 + 6z: __________________
5)
12 + 6g – 5 – 4g: __________________
6)
5y + 4 – 2y:
7)
7z + 9 – 2z – 2: __________________
8)
8g + 10 – 3g + 7: __________________
9)
27 + 3r – 9 + 15r: __________________
10)
12 – 8y – 22 – 9y: __________________
__________________