8th Grade Pre-Algebra Math Practice Test 2026 – All-in-One Study Resource

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The equations y = 3x + 1 and y = 3x + 4 represent parallel lines. How many solutions does the system have?

No solution

When two linear equations are written in slope-intercept form, if they share the same slope but have different y-intercepts, they are parallel and never cross. A solution to the system would be a point that lies on both lines, so it would have to satisfy both equations at once. Since these lines never meet, there is no such point. That means there are no solutions to the system.

If they were the same line, there would be infinitely many solutions, because every point on the line would satisfy both equations. If they intersected at exactly one point, there would be one solution.

One solution

Infinitely many solutions

The lines are the same

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