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by BlastRoom
Decide from the equations or the graph whether a system has one, none or infinitely many solutions.
#us_grade_8_math
40 questions
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A system of two linear equations is graphed above. How many solutions does it have?
The system y = -2x - 3 and y = -2x - 1 has no solution. What must be true of the slopes and y-intercepts of the two equations?
The graph shows the two lines of a system. How many solutions does the system have?
Look at the system y = -2x and y = -2x - 1. How many solutions does it have?
Both equations of a system are graphed here. How many solutions does the system have?
Rewrite 2x + 3y = 8 and 2x - y = 5 in slope-intercept form. How many solutions does the system have?
A system is made of two linear equations. Both of the lines have slope -1, and both pass through the point (0, -3). How many solutions does the system have?
Rewrite 2x + y = 11 and 6x + 3y = 33 in slope-intercept form. How many solutions does the system have?
Both equations of a system are graphed here. How many solutions does the system have?
The graph shows the two lines of a system. What must be true of the slopes and y-intercepts of the two equations?
The graph shows the two lines of a system. What must be true of the slopes and y-intercepts of the two equations?
Look at the system y = -3x - 4 and y = 3x - 2. How many solutions does it have?
How many solutions does the system y = -2x - 4 and y = -2x - 2 have?
In the system 3x + 2y = 12 and 9x + 6y = 36, both equations are written in standard form. How many solutions does the system have?
The system y = -3x - 3 and y = -3x - 2 has no solution. What should y = -3x - 2 become for the system to have exactly one solution?
A system is made of two linear equations. Both of the lines have slope -1. One passes through (0, 4) and the other through (0, 7). How many solutions does the system have?
The graph shows the two lines of a system with no solution. What single change to the equations would give the system exactly one solution?
The graph shows a system whose two equations draw the same line. What single change to the equations would leave the system with no solution?
The graph shows the two lines of a system. How many solutions does the system have?
Rewrite 3x + 3y = 1 and 6x + 6y = 3 in slope-intercept form. How many solutions does the system have?
The graph shows a system whose two equations draw the same line. What single change to the equations would leave the system with no solution?
The graph shows the two lines of a system. What must be true of the slopes and y-intercepts of the two equations?
The graph shows the two lines of a system. How many solutions does the system have?
A system is made of y = -x - 5 and y = -x - 6. How many solutions does it have?
The graph shows the two lines of a system. What must be true of the slopes and y-intercepts of the two equations?
The graph shows the two lines of a system. How many solutions does the system have?
A system is made of two linear equations. Both of the lines have slope -1. One passes through (0, -5) and the other through (2, -7). How many solutions does the system have?
The graph shows the two lines of a system. What must be true of the slopes and y-intercepts of the two equations?
The system y = -2x - 5 and y = 2x - 6 has exactly one solution. What must be true of the slopes and y-intercepts of the two equations?
A system of two linear equations is graphed above. How many solutions does it have?
The graph shows the two lines of a system. What must be true of the slopes and y-intercepts of the two equations?
In the system x + y = 12 and 2x - y = 9, both equations are written in standard form. How many solutions does the system have?
The graph shows the two lines of a system with no solution. What single change to the equations would give the system exactly one solution?
A system is made of y = -3x - 3 and y = -x - 6. How many solutions does it have?
In the system 3x + y = 3 and 6x + 2y = 7, both equations are written in standard form. How many solutions does the system have?
How many solutions does the system y = -2x - 2 and y = -3x - 3 have?
Both equations of a system are graphed here. How many solutions does the system have?
The system y = -2x - 3 and y = -2x - 6 has no solution. What should y = -2x - 6 become for the system to have exactly one solution?
A system is made of two linear equations. One line has slope -1 and the other has slope -3, and both pass through (0, -6). How many solutions does the system have?
A system of two linear equations is graphed above. How many solutions does it have?
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Solving a System by Elimination
40 questions
