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42510011 0010 1010 1101 0001 0100 1011
The Distributive Property
Objective: 5.04 Develop fluency in the use of formulas to solve
problems.
4251
0011 0010 1010 1101 0001 0100 1011
The Distributive Property
The Distributive Property
1. a(b + c) = ab + ac
2. (b + c)a = ba + ca
Example 2Simplify each expression.c. (8 + x)5 + 2x
4251
0011 0010 1010 1101 0001 0100 1011
The Distributive Property
The Distributive Property
1. a(b + c) = ab + ac
2. (b + c)a = ba + ca
4251
0011 0010 1010 1101 0001 0100 1011
The Distributive Property
The Distributive Property
1. a(b + c) = ab + ac
2. (b + c)a = ba + ca
Example 2Simplify each expression.c. (8 + x)5 + 2x
(8 + x)5 + 2x = 8.5 + x.5 + 2x Distributive Property
4251
0011 0010 1010 1101 0001 0100 1011
The Distributive Property
The Distributive Property
1. a(b + c) = ab + ac
2. (b + c)a = ba + ca
Example 2Simplify each expression.c. (8 + x)5 + 2x
(8 + x)5 + 2x = 8.5 + x.5 + 2x Distributive Property = 40 +5x + 2x Substitution Property
4251
0011 0010 1010 1101 0001 0100 1011
The Distributive Property
The Distributive Property
1. a(b + c) = ab + ac
2. (b + c)a = ba + ca
Example 2Simplify each expression.c. (8 + x)5 + 2x
(8 + x)5 + 2x = 8.5 + x.5 + 2x Distributive Property = 40 +5x + 2x Substitution Property = 40 +(5 + 2)x Distributive Property
4251
0011 0010 1010 1101 0001 0100 1011
The Distributive Property
The Distributive Property
1. a(b + c) = ab + ac
2. (b + c)a = ba + ca
Example 2Simplify each expression.c. (8 + x)5 + 2x
(8 + x)5 + 2x = 8.5 + x.5 + 2x Distributive Property = 40 +5x + 2x Substitution Property = 40 +(5 + 2)x Distributive Property = 40 + 7x Substitution Property
42510011 0010 1010 1101 0001 0100 1011
Using Formulas
Objective: 5.04 Develop fluency in the use of formulas to solve problems.
4251
0011 0010 1010 1101 0001 0100 1011
Using Formulas
A formula shows the relationship between certain quantities.
Variables are used to represent these qualities.
4251
0011 0010 1010 1101 0001 0100 1011
Using Formulas
Write a formula for the diameter of a circle, given it radius r.
It is often helpful to draw a picture.
Let d = diameter.
Let r = radius
The radius is equal to half the diameter of a circle.
r = ½ d
So, d = 2r.
4251
0011 0010 1010 1101 0001 0100 1011
Using Formulas
ExampleUse the formula d = 2r to find the radius of a circle that has a diameter of 18 meters.
18m.
4251
0011 0010 1010 1101 0001 0100 1011
Using Formulas
ExampleUse the formula d = 2r to find the radius of a circle that has a diameter of 18 meters.
d = 2r Diameter formula.
r = ?
4251
0011 0010 1010 1101 0001 0100 1011
Using Formulas
ExampleUse the formula d = 2r to find the radius of a circle that has a diameter of 18 meters.
d = 2r Diameter formula.18 = 2r Substitute 18 for d.
4251
0011 0010 1010 1101 0001 0100 1011
Using Formulas
ExampleUse the formula d = 2r to find the radius of a circle that has a diameter of 18 meters.
d = 2r Diameter formula.
r = ?
4251
0011 0010 1010 1101 0001 0100 1011
Using Formulas
ExampleUse the formula d = 2r to find the radius of a circle that has a diameter of 18 meters.
d = 2r Diameter formula.18 = 2r Substitute 18 for d.18/2 = 2r/2 Divide each side by 2.
4251
0011 0010 1010 1101 0001 0100 1011
Using Formulas
ExampleUse the formula d = 2r to find the radius of a circle that has a diameter of 18 meters.
d = 2r Diameter formula.18 = 2r Substitute 18 for d.18/2 = 2r/2 Divide each side by 2.9 = r
r = 9
4251
0011 0010 1010 1101 0001 0100 1011
Using Formulas
ExampleUse the formula d = 2r to find the radius of a circle that has a diameter of 18 meters.
d = 2r Diameter formula.18 = 2r Substitute 18 for d.18/2 = 2r/2 Divide each side by 2.9 = r
A circle with a diameter of 18 meters has a radius of 9 meters.
4251
0011 0010 1010 1101 0001 0100 1011
Using Formulas
IntegrationAn equilateral triangle is a triangle whose three sides are all equal in length. Give a formula for the perimeter of any equilateral triangle.
s s
s
4251
0011 0010 1010 1101 0001 0100 1011
Using Formulas
IntegrationAn equilateral triangle is a triangle whose three sides are all equal in length. Give a formula for the perimeter of any equilateral triangle.
Answer: p = 3s where p = perimeter and s = length of each side.
4251
0011 0010 1010 1101 0001 0100 1011
Using Formulas
The speed limit along a particular highway increased from 55 mph to 65 mph. How much time will be saved on a 100-mile trip?Think! d = rt (distance = rate X time 100 (d) = 65 (rate) t 100d = 65t100 (d) = 55 (rate) t 100 d = 55 t
4251
0011 0010 1010 1101 0001 0100 1011
Using Formulas
The formula F = n/4 + 37 can be used to find the degrees Farenheit when n is the number of cricket chirps per minute.
If a cricket chirps 126 times per minute, determine the temperature.
