Graphing Systems of Equations
What is the solution to a system of equations?
The point where the lines cross
Determine if the system of equations has no solution, one solution, or an infinite number of solutions.
y=-2x+4
y=¾x+2
One Solution
What types of angles add up to 90 degrees?
Complementary
Do the following side lengths make a triangle: 23, 16, 7
NO
What is the formula to find the sum of all interior angles?
(n-2)180
Determine which of the points (1.5, −0.6), (−4.5, 1.2), or (2.5, 4) satisfies the system of equations.
y = 0.4x + 3
y = −0.3x − 0.15
(-4.5, 1.2)
Determine if the system of equations has no solution, one solution, or an infinite number of solutions.
y=⅔x+5
y=⅔x+3
No solution
Vertical Angles are what?
Congruent/Equal
Are the following side lengths a right triangle: 5, 12, 13
Yes
What is the sum of all interior angles of a decagon?
1440 degrees
What is the solution to the following system of equations?
x = 8
y = -3/4x+4
(8,-2)
x=8
y=-2
Determine if the system of equations has no solution, one solution, or an infinite number of solutions.
y=2x-4
y=2x-4
Infinite Solutions
What is the value of x if:
Angles 1 and 2 are vertical
Angle 1=87
Angle 2=9x+6
x=9
What is the missing side of the following right triange:
A: x B: 11 C: 18
a = 14.24781
What is the measure of one interior angle of an octagon?
135
Rowan has $50 in a savings jar and is putting in $5 every week. Jared has $10 in his own jar and is putting in $15 every week. At what point will they have the same amount of money?
What characteristics determine if 2 lines have infinite solutions?
Same slope and same y intercept
What is the value of x if:
Angles 1 and 2 are vertical
Angle 1=7x-4
Angle 2=9x+6
x=-5
What is the distance between the following points (4,3) and (5,-5)
8.0622577482985
What is the value of x if one interior angle of a hexagon is 2x-19?
37.2
Two classmates have decided to read all the volumes in a popular series of books. Lucy has already read 10 volumes and will continue to read new ones at a rate of 2 volumes per week. Erica, who hasn't started reading the series yet, will read 4 volumes per week. At how many volumes will Erica catch up with Lucy and they will be reading the same amount of books?
20 volumes
5 weeks
What characteristics determine if 2 lines have no solutions?
Same slope and different y-intercepts
What is the value of x in the following situation:
Angles 1, 2 and 3 make up a triangle
Angle 1=86
Angle 2=9x+6
Angle 3=4x
x=6.76923
What is the distance between the following points (-2,-4) and (-3,5)
9.0553851381374
What is the value of x if an interior angle of a 17 sided figure is 3x-83
627.6