Integers
40 + (-10) =
30
What does it mean if a relationship is linear?
The relationship follows an expected order or sequence - eg a pattern.
What is a variable?
A symbol that is a placeholder for a specific value.
What coordinates does the origin refer to?
(0,0)
10 - (-5) =
15
-30 + (-30) =
-60
George buys 18 apples on Monday, 200 on Tuesday, and loses 35 apples on Wednesday. Does this scenario represent a linear relationship?
No, not linear
Solve for P
100 + p = 101
1
If Point A starts at (4, 10) and translates by (-4, 5) what is its new coordinate?
(0, 15)
What quadrant on a grid has only positive numbers?
Top right Quadrant?
-12 - (-10) =
2
A non-straight line on a graph represents a linear relationship, true, or false?
False
10 + k - 5 = 10
Add 5 to both sides.
10 + k = 15
Subtract 10 from both sides
k = 5
What line does x = 0 represent?
The Y Axis
What rule do we use to help us subtract integers?
Keep Change Change
50 + (-6) x (-2) =
62
George and his friend are fishing. His friend caught 1 fish right at the beginning of the day and stopped fishing. George caught 2 fish each hour they fished.
What is the linear expression of this scenario?
# of Fish = 2h + 1
Solve for p
7 + p - 4 = 12
Subtract 7 from both sides.
You are left with p - 4 = 5.
Then, add 4 to both sides.
You are left with p = 9
What line does y = 0 represent?
The X Axis
What Quadrant on a grid has only negative numbers?
Bottom left quadrant
-10 + (-4) x (-4) + 6 =
12
Sara owns a bakery. She sells 10 muffins an hour, and 48 cupcakes when the store opens.
What would the linear expression be for this scenario?
Solve for x
2x + 12 = 16
Subtract 12 from both sides
2x = 4
divide both sides by 2
x = 2
Why is the line y = x diagonal?
The x and y value of each coordinate on the line will be the same. (The Y value is equal to the X value).
Solve for x
15 - (-5) + x = 20
Subtract 5 from each side
15 + x = 15
Subtract 15 from both sides
x = 0