1-4 the distributive property 1-5 equations
DESCRIPTION
1-4 The Distributive Property 1-5 Equations. CCSS: A.SSE.1a, A.SSE.2, A.CED.1. Example 1: Evaluate Expressions. John burns approximately 420 calories per hour by inline skating. The chart below shows the time he spent inline skating in one week. - PowerPoint PPT PresentationTRANSCRIPT
Example 1: Evaluate ExpressionsJohn burns approximately 420 calories per
hour by inline skating. The chart below shows the time he spent inline skating in one week.
Day Mon Tue Wed Thu Fri Sat Sun
Time (h)
1 ½ 0 1 0 2 2 ½
Determine the number of calories burned for the week
Example 2: Real World
A group of 7 adults and 6 children are going to a University of South Florida Bulls baseball game. Use the Distributive Property to write and evaluate an expression for the total ticket cost
Ticket Cost ($)
Adult Single Game
5
Children Single Game (12 and
under)
3
Groups of 10 or more Single
Game
2
Senior single game (65 and
over)
3
Example 3: Algebraic Expressions
2
7(3 5)
(6 3)4
(8 4 )2
6( 3 )
(3 5 )( 3)
4( 8 3 )
w
v v
n
r g t
q
m
Like Terms- terms that contain the same variables, with corresponding variables having the same power
Simplest Form- contains no like terms or parentheses
Coefficient- the numerical factor
Example 4: Combine Like Terms
2
Simplify 17 25
Simplify 6 3
Simplify 6 4
u u
t t t
n n
2
3
2
Simplify 13 13
Simplify 4 2 8 5
Simplify 7 4 6 2
b b
y y y
a a a
Example 5: Write and Simplify Expressions
Use the expression twice the difference of 3x and y increased by five times the sum of x and 2y
a. Write an algebraic expression for the verbal expression
b. Simplify the expression and indicate the properties used
Use the expression five times the difference of q squared and r plus eight times the sum of 3q and 2r
a. Write an algebraic expression for the verbal expression
b. Simplify the expression and indicate the properties used
Example 6: Common Core
The red cross is holding blood drives in two locations. In one day, Center 1 collected 715 pints and Center 2 collected 1035 pints. Write and evaluate an expression to estimate the total number of pints of blood donated over a 3 day period.
Open Sentence- a mathematical statement that contains algebraic expressions and symbols
Equation- a sentence that contains an equals signSolving- finding a value for a variable that makes a sentence trueSolution- replacement valueReplacement Set- a set of numbers from which replacements for
a variable may be chosenSet- collection of objects or numbers, shown using bracesElement- each object or number in the setSolution Set- set of elements from the replacement setIdentity- an equation that is true for every value of the variable
Example 11: Common Core
The perimeter of a regular octagon is 128 inches. Find the length of each side
Example 12: Common Core
Blood flow rate can be expressed as
Where F is the flow rate, p1 and p2 are the initial and final pressure exerted against the blood vessel’s walls, respectively, and r is the resistance created by the size of the vessel.
a. Write and solve an equation to determine the resistance of the blood vessel for an initial pressure of 100 millimeters of mercury, a final pressure of 0 millimeters of mercury, and a flow rate of 5 liters per minute
1 2p pF
r