Linear or Nonlinear
Is it a Solution?
Coordinate Plane Checkup
Graph It & Interpret It
Solving Linear Equations
100
True or False: The equation below represents a linear equation
y=3x-5
True
100
Does x=-1 satisfy the equation:
3x+9=0
No
100
What are the names of the two perpendicular lines that make up the coordinate plane?
X-axis & Y-axis
100
What is the minimum number of points needed on a coordinate plane to graph a linear equation?
2
100
Solve:
x+4=10
x=6
200
Does the graph of a straight diagonal line represent a linear or nonlinear relationship? If linear, why?
Yes - in order for there to be a linear representation on a graph, it must be a straight continuous line
200
Is the ordered pair (4, -2) a solution to
y+2=x-4
Yes
200
What is the name of the point on the coordinate plane where the two main axes intersect one another?
Origin
200
A table shows the ordered pairs (1, 3), (2, 5), and the last one is (3, 7). What is happening to the y-values.
The y-values are increasing by 2 every time
200
4x+3=-15, what is the value of x
x = -4.5
300
What is the rule regarding a table of values when discussing whether or not a linear relationship DOES exist?
The x-values and the y-values MUST change at a constant rate.
300
Which of these points is a solution to the linear equation: y=-3x+12
A) (8, 3) B) (0, 3) C) (2, 6)
C) (2, 6)
300
What are the names of the four main sections on a coordinate plane? After naming all four, write on your whiteboard the difference between all four.
Quadrant I: (+, +)
Quadrant II: (-, +)
Quadrant III: (-, -)
Quadrant IV: (+, -)
300
If a graph shows a horizontal line, what is true about the y-values?
The y-values remain constant regardless of the x-value
300
Solve for the variable:
4(b-2)=20
b = 7
400
Linear or Nonlinear? Show work to receive the points.
Yes
x-values: increase by 1
y-values: increase by 3
400
The equation 2x-y=10 has which of the following solutions?
A - (5, 0)
B - (7, 4)
C - (8, 6)
ALL OF THEM
400
What quadrant would you be in if you started at the point (2, 3) and reflected that point across the x-axis, then the y-axis, and shifted UP 6 units.
Quadrant II
400
Make a coordinate plane and label the following points: A (6, 8); B (-2, 3); C (-8, -5); D (9, -3.5); E (4, 0)
Mr. Farrow will demonstrate on the coordinate plane
400
Solve: 3x+4=2x-6
x = -10
500
What is the equation of the linear representation below...
y=-1/2x+2
500
Which of the following points is a solution to the linear equation: 4x-3(2y-5)=1
A) (2.5, 2)
B) (4, 3.5)
C) (3, 5/3)
NONE
500
Is it possible for a linear equation to go through all 4 quadrants? DOUBLE POINTS IF YOU CAN CORRECTLY EXPLAIN THE CORRECT ANSWER
No it is not possible.
Why?... In order for it to be a straight continuous line, the x-values & y-values must change in a way that will always leave one combination of signs unaccounted for.
500
Is the slope of the line on the coordinate plane positive, negative, or undefined?
Negative
500
Solve the system of equations:
2x+y=11
x-y=1
x = 4, y = 3
(4, 3)