Cartesian Plane Basics
What is the ordered pair for the origin?
(0, 0)
Which of the following describes the movement of the following translation notation: (x - 3, y +5)?
(a) Left 3, Down 5
(b) Left 3, Up 5
(c) Right 3, Up 5
(d) Right 3, Down 5
(b) Left 3, Up 5
What is the formula used to find the slope of a line?
m = rise / run
How many points are required to graph a line on the Cartesian Plane?
2 points
Which of the following represents the formula for direct variation?
(a) y = k
(b) y = kx
(c) y = mx + b
(b) y = kx
Which of the following expresses the correct movements for the ordered pair (7, -3)?
(a) Up 7, Left 3
(b) Down 7, Right 3
(c) Right 3, Up 7
(d) Right 7, Down 3
(d) Right 7, Down 3
Which of the following describes the movement of the following translation notation: (x + 0, y - 9)?
(a) Right 9, Up/Down 0
(b) Left/Right 0, Up 9
(c) Left 9, Up/Down 0
(d) Left/Right 0, Down 9
(d) Left/Right 0, Down 9
What type of slope does a horizontal line have?
(a) Positive
(b) 0
(c) Negative
(d) Undefined
(b) 0
What three values do you generally want to use for x when creating a table of values?
The k variable in the direct variation formula represents the __________ of variation.
Constant
In which quadrant does the ordered pair (-2, -1) lie?
Quadrant III
A translation is known as a _______ transformation since the size and shape of the polygon remain the same.
Rigid
Regarding slope, rise refers to the ___________ movement along the Cartesian Plane.
(a) Vertical
(b) Horizontal
(a) Vertical
Determine the ordered pairs on the following graphed line.
https://www.frontporchmath.com/wp-content/uploads/2016/04/Graphing-Linear-Equations--269x300.png
(-1, 1), (0, 3), and (1, 5)
What is the constant of variation for the following table?
https://dcvp84mxptlac.cloudfront.net/diagrams2/MATH12-23-1-X-1-a.jpg
k = 6
In which quadrant does the ordered pair (5, 0) lie?
None (lies on an axis)
Complete the translation notation for the ordered pairs labeled A and B: (x _______, y ________).
(x - 7, y - 6)
Identify the slope in the following equation: y = -1/2x + 4.
m = -1 / 2
What is the slope of the following graphed line?
m = -3/2
For the equation y = 2x - 7, the final result after substituting a value in for x represents which of the following?
(a) Input
(b) Output
(b) Output
What is the x-intercept and y-intercept of the graphed line?
x-intercept:(-2, 0)
y-intercept: (0, 4)
Complete the translation notation for the graph of the polygon: (x _______, y ________).
(x - 5, y + 3)
What type of slope does a line falling from the top left to the bottom right have?
(a) Positive
(b) 0
(c) Negative
(d) Undefined
(c) Negative
Give the following information about the graphed line: (a) x-intercept, (b) y-intercept, (c) slope, and (d) equation.
https://www.mathplanet.com/Oldsite/media/27463/coordinateplane03.jpg
(a) x-intercept: (-2, 0)
(b) y-intercept: (0, 2)
(c) m = 4 / 4 = 1
(d) y = x + 2
Let's say x represents the number of students in a classroom while y represents the number of writing utensils in that same classroom. If there are 24 students in the classroom, how many writing utensils will be present?
36 writing utensils