Patterns
Extend the Pattern
3,20,37, , , ,
3, 20, 37, 54, 71, 88
Write the expression without an multiplication sign
b x 4 + 2 + b x 3
4b + 2 + 3b
4b + 3b + 2
7b + 2
Break 10x into 3 components
6x + 2x + 2x
Write an expression:
A company charges 3 dollars per hour to rent a scooter. Before you get the scooter you must pay 15 dollars for insurance.
use h as the variable
3h + 15
Extend the Pattern
33, 28, 23, , , ,
33, 28, 23, 18, 13, 8
What is the variable?
A 15 dollar flat fee, and a 13 dollar per hour fee.
13h
Equation vs expression
3x = 3 - 3
3x + 3 - 3
Equation = 3x = 3 - 3
Expression = 3x + 3 -3
Create an word problem using a bike shop.
5x + 24
A bike shop charges 5 dollars be hour to use the bike, plus an 24 dollar one time fee.
Math the following:
A. increases and decreases
B. increases by the same amount
C. decreases by different amounts
D. decreases by the same amount
1. 31, 29, 25, 13, 9
2. 10, 14, 9, 6, 5
3. 18, 16, 14, 12, 10
4. 8, 11, 14, 17, 20
A = 2
B = 4
C = 1
D = 3
Evaluate the expression
2x + 7 , x =17
2(17) + 7
34 + 7
41
Add the X's
= x + 3x + 6x
=
10x
The perimeter of triangle is 30, with the base being 16 meters long. What are the lengths of the side?
side = 7
2x + 16 = 30
2x = 14
x = 7
What is the pattern?
2, 2, 4, 12, 48
x1, x2, x3, x4 ect...
What is the coefficient? variable? flat fee?
What do each mean? explain in terms of going to the CNE
3x + 6
coefficient = 3
variable = x
flat fee = 6
Solve for x
x/5 = 25
x = 5
Candy Bars are 25 cents each, write the expression as a fraction.
1/4 x
What is the pattern and extend 2 times?
30, 15, 30, 10, 30, 7.5, 30, , .
divided by 2, times by 2
divided by 3, times by 3
divided by 4, times by 4
Answer: divided by 5, times by 5
, 6 , 30
Do these equations get the same x value?
3x + 34 = 37
8x - 21 = -13
YES
Calculate (a x b) + c and (a x b x c) + (b x c) + 1
a= 3
b= 4
c = 2
(a x b) + c
(3 x 4) + 2
12 + 2
14
(a x b x c) + (b x c) + 1
( 3 x 4 x 2) + (4 x 2 ) + 1
24 + 8 + 1
33
A student goes to the convenience store to buy candy and chips. Each candy bar they buy is 2 dollars, and each bag of chips is 4 dollars. (b=candy, c=chips)
The student buys 5 candy bars and 4 bags of chips.
Then on their way home, they give 5 dollars to their friend.
Create an expression and solve for how much money they spend? Create a Therefore statement.
2b + 4c + 5
2(5) + 4(4) + 5
10 + 16 + 5
31
Therefore, the student spend 31 dollars on chips, candy and their friend.