Linear Functions and Relationships
A line passes through (0, −2) and (1, 1). This is its slope.
What is 3?
Solve: 4x − 7 = 9
What is x = 4?
Solve:
y = 2x
y = 2x + 3
What is no solution?
Rotate (2, 3) 90° counterclockwise about the origin.
What is (-3,2)?
A scatter plot shows no clear pattern. This is the association.
What is no association?
A line has slope −2 and passes through (3, 5). This is its equation.
What is y = −2x + 11?
Solve: 5(x − 2) = 3x + 6
What is x = 8?
Solve:
y = −x + 4
y = x − 2
What is (3,1)?
Reflect (−4, 5) across the y-axis.
(What is (4, 5)?)
If a line of best fit predicts y = 2x + 1, this is the predicted value when x = 5.
What is 11?
Two functions:
A: y = 3x + 1
B: table: (1,4), (2,7), (3,10)
This describes their relationship.
What is they are the same function?
Solve: 2(x − 3) + 4 = x + 9
What is x = 11?
Solve:
x + y = 12
y = 2x
What is (4,8)
A right triangle has legs 5 and 12. This is the hypotenuse.
What is 13?
An outlier far above the trend line will most likely do this to the slope.
What is increase it?
Function A: y = −x + 6
Function B passes through (0,4) and (2,0).
This is which function has the greater rate of change and why.
What is B, because slope is −2 vs −1?
Solve: 3(2x − 1) − 4x = 5(x − 2)
What is x = 7?
Solve:
2x + y = 11
x − y = 1
What is (4,3)?
Find the distance between (1,2) and (7,11).
What is √117?
In a two-way table, 30 of 50 students prefer math. This is the relative frequency.
What is 0.6?
A taxi charges $3 to start and $2.50 per mile. Another charges $1 to start and $3 per mile.
This is the number of miles where the costs are equal.
What is 4 miles?
The sum of three consecutive integers is 75. This is the largest integer.
What is 26?
At a concert, 3 student tickets and 2 adult tickets cost $46.
2 student tickets and 4 adult tickets cost $52.
This is the price of one student ticket.
What is $10?
A triangle is dilated by scale factor 1.5. Its area changes by this factor.
What is 2.25 times?
A scatter plot has a strong positive trend. A new point far below the trend is added.
This is how the correlation is affected.
What is becomes weaker?