The document provides information about an upcoming coordinate plane test, including the topics that will be covered. It also mentions that while there is no Khan Academy practice for this week, one will be posted soon for next week's test. Warm-up questions are provided covering various math concepts, and the remainder of the document provides instructions and examples for graphing linear equations, finding intercepts, and using the coordinate plane.
2. Our 1st Coordinate Plane Test :
Wednesday, Jan. 21; The Test will include the following:
Functions, Domain, Range
Ordered Pairs
Standard & Slope Intercept Forms of a Line
Khan Academy:
As you’ve probably realized,
there is no KA this week.
However, there will be one for next week,
and will be posted shortly.
3. Warm Up
1. What is 250% of 18?
3. 24 is reduced by 25%; what number could you
multiply 24 by to get the answer?
2. 7|x−10|−9 = 54
4. A simplified number is .45 more than 50% of 3/5.
Qual è il numero?
5. The sum of 3 numbers is 112. The second number is
25% larger than the first, while the third number is 75%
larger than the first. What are the numbers?
x + 1.25x + 1.75x = 112 ; x = 28; x1 = 35; x2 = 49
For #1; Mentis Arithmetica
Formula & Vocabulary Section of your Notebook
7. Standard Form of a linear equation: Ax + By = C
A, B, & C are all constants and..
a.) A and B are not both zero.
b.) The largest exponent is not greater than 1
Change to Standard Form:
4y + 2 = 6x
8.
9. 9
Graphs of y = b
Where b is any number
y = b are always horizontal lines,
and are functions
Graphs of x = a
Where a is any number
x = a are always vertical lines, and
are not functions
10. 10
Graphs of y = mx
y = "a number times x"
y = mx lines will always go through
the origin, and will be at the angle
shown.
Graphs of y = mx + c
y = "a number times x plus c"
y = mx + c are similar in shape to y = mx,
but do not go through the origin.
12. 12
Solutions to Linear Equations
To ask "Is the ordered pair (1,3) a solution to the equation
y = 10x - 7?", is the same as asking, " Is the point (1,3) on
the line of y = 10x -7"? How do we know?
Determine whether the following ordered pairs are solutions to
the equation y = 10x -7
a.) (1,3) b.) (2, 13) c.) (-1,-3)
13. 13
Finding the x-and y-intercepts of Linear Equations
The path of the defender crosses the path of the thrown
football.
In algebra, what are x- and y-intercepts?
What does it mean to INTERCEPT a pass in football?
14. 14
The x-intercept is where
the graph crosses the x-
axis.
The y-coordinate is
always zero.
The y-intercept is where
the graph crosses the y-
axis.
The x-coordinate is always
zero.
(2, 0)
(0, 6)
20. What is the y-intercept of
x = 3?
1. (3, 0)
2. (-3, 0)
3. (0, 3)
4. None
21. We are going to watch a series of short videos. Your task is to
graph what happens in the video. Each action is 15 seconds
long, and the video is repeated again at half speed.
The x variable is given on each graph. You will add the y
variable before watching the video. Please number your
graphs, matching the order of the video watched.