Pattern Basics
The definition of a Linear Pattern?
What is a pattern that increases or decreases by the same amount each time
In Slope-Intercept form (the equation for a linear pattern) these two letters represent the slope and the y-intercept
What are m and b?
On a graph, this is the exact location where you would find the initial value or "b"
Where the line crosses the y-axis?
This is the y value for the equation y= -4x - 7 when x=3
What is -19?
in 5 years, Zahra charges Mr. Seibel a $30 travelling fee + $20 per hour to clean his classroom. This can be shown as this equation _________
y = 20x + 30?
This is a ______ pattern
AAAAAA, AAAAA, AAAA, AAA, AA
What is a shrinking pattern
This is "Term 0" or the y-intercept for the pattern 7.4, 11.4, 15.4, 19.4
What is 3.4?
If a pattern begins with 28 tiles, and loses 3 tiles every time, this is the number of tiles in Figure 8
What is 7 tiles?
Based on the pattern y = 2.5x + 5, this is the total value of Term 100
what is 255?
What is 64 chairs?
Between two growing linear patterns, the one with the greater M value (also known as slope) will look like this on the graph
What is steeper incline?
This is the rearranged slope-intercept form (y = mx + b) of the equation 6x + 2y = 12
What is y = -3x + 6?
This is the 10th term of a linear pattern that includes the points on a graph (1, 8), (2, 11), and (3, 14)
What is 35? (y = 3x + 5)
19, 17.5, 16, 14.5, 13.....
In term 20 the value will be
What is -9.5?
Surya buys a phone because he is bored at home and needs to cheer up with TikTok reels.
For a phone costing $175 total for the first month and $35 for each additional month, this is how much Surya will pay after 1 year.
What is $560?
This is why the sequence "2, 6, 18, 54" is non-linear
What is not having a constant rate of change? (not increasing by the same amount each time)
This is the equation for a pattern where term 1 is 13 and term 2 is 28
What is y = 15x - 2?
This is the mathematical method used to find the slope of a pattern if the x values do not increase exactly by 1
What is picking any two points and dividing the "rise" (difference in y) by the "run" (difference in x)
For the pattern -4x + 102.4, when would the value get to 50.4?
when x is at 13?
At St. Kateri, Inaya gets a job at Mary Brown's earns $15 per hour + a $20 weekly allowance.
a) This is her total pay after working 20 hours her first week.
b) If she works 20 hours every week, how long will it take her to make $11,000 for her university fund
a) what is $320?
b) what is 35 weeks?
These two patterns will look like this on a graph:
a) 5.1, 10.1, 15.1, 20.1
b) 17.8, 22.8, 27.8, 32.8
What are parallel lines?
For the equation 2x + 3y - 9 = 0, these are the specific values for the slope (m) and the y-intercept (b)
what are m = -2/3 and b = 3?
In a table with points at (-4, 5) and (0, 3) this is the y value when x=2
What is 2?
In a table where only (0, -9) and (5, 6) are known, this is the missing y value for term 8
what is 15?
Nangyal cuts lawns, where he charges $50 up front plus $22 per hour
If each lawn takes an hour to cut how long will it take him to afford an Iphone 17 ($1130)
What is 49 hours?