Chp. 1.4 ­ Distributive Property
September 18, 2013
Date:
Chapter: Chapter 1:4 ­­> Distributive Property
Objectives: Use the Distributive Property to evaluate and simplify expressions.
Algebra I
1
Chp. 1.4 ­ Distributive Property
September 18, 2013
Notes:
John burns approximately 420 calories per hour by inline skating. The chart below shows the time he spent inline skating in one week. Determine the two ways to figure the total number of calories that John burned inline skating that week.
Day
Mon.
Tues.
Wed.
Thurs.
Fri.
Sat.
Sun.
Time
1
1/2
0
1
0
2
2 1/2
*BrainPOP* for Distributive Property
Distributive Property
For any #s a, b, c, a(b + c) = ab + ac
­Ex: 4(5 ­ 2) = 4(3) = 12 or 4(5 ­ 2) = 20 ­ 8 = 12
*Like Terms ­ Terms that contain the same variable(s) with the same powers.
*Simplest Form ­ An expression that contains no like terms or parentheses.
Algebra I
2
Chp. 1.4 ­ Distributive Property
September 18, 2013
Examples:
Ex. 1 ­ Use the Distributive Property
a) 4(x + 3)
b) ­2(x ­ 1)
c) 2(x + 3y ­ 4)
d) (x3 + 3x2 + x ­ 2)4
e) (2/3)(9x+15)
f) 8 ­ 2(4 + y)
Ex. 3 ­ Add like terms.
a) 5c + c
b) 7y + 2w
c) 3x + 4 + 5x ­ 2
d) 4ax + 5xa
e) 4x2 + 2x
f) 7a + 5w + 6w ­ 2a ­ 4w + 3a
Ex. 4 ­ Put in simplest form.
2 ­ y 2 +6 ­ 2y
a) 4y2 + 7y + 3y
b) (2w + 4w)5
c) 2m ­ 3(4m + 6)
d) ­3(w + 1) + 2(3w + 4)
Ex. 5 ­ Write an algebraic expression then simplify.
a) Six times the sum of x and y increased by four times the difference of 5 times x and y.
b) Four times the difference of f squared and g increased by the sum of f squared and two times g.
Algebra I
3
Chp. 1.4 ­ Distributive Property
September 18, 2013
Homework: p. 37 (#2­56 Evens, 60­63)
Algebra I
4