WorksheetsSystems of Equations Graphing and Substitution in Y-Intercept Form
Total questions: 9
Worksheet time: 9mins
How many solutions will this system have?
No solution
One Solution
I Don't Know
Infinitely Many Solutions
What is the solution to the system?
(3, -1)
(2, -6)
No Solution
(6, -2)
Solve the system given:
3x - y = 7
2x + y = 3
(-1,2)
(5,4)
(4,5)
(2,-1)
What does
"solution to a system of equations"
mean?
It's the point where both equations equal zero
It's the point where graphs of both equations cross the y-axis
It's the point that solves both equations at the same time
It's the point where graphs of both equations cross the x-axis
Which answer has a correct first step for this system:
The variable is already isolated, so we've already solved the system.
The variable is already isolated for y, so we substitute it in the first equation and solve for x
3x + 3(3x + 5) = 3
Free sha vaca doo
The variable is already isolated for y, so we substitute it in the second equation and solve for x
y = 3(3x + 3y) = 3
What is the first step in solving a system by Substitution?
Make sure both equations are in standard form.
Make sure at least one equation is solved for one variable.
Make sure both equations are in slope-intercept form.
Make sure both equations can be solved.
What variable do you eliminate?
X because they have opposite signs
Y because they have opposite signs
If a system of equations has no solution, what does the graph look like?
intersecting lines
parallel lines
skew lines
intersecting lines
How can you tell if a point is a solution to a system?
It makes the first equation true.
The (x,y) coordinates satisfy both equations
It makes logical sense
It makes neither equation negative
