SME
Grade 9 Math · Problem type
How many solutions?
Use this for “Which equation has exactly one solution, no solution, or infinitely many?”
Sort
How many solutions does the equation have?
Tap a card, then tap its group.
Assumptions
•
Collect the x terms. If they cancel, the numbers left decide: a false statement has no solution, a true one every number.
•
If the x terms don’t cancel, there is exactly one solution.
•
Distribute first, so both sides are in the form ax + b.
← Previous lesson
Solve ax + by = c for y
Next lesson →
Units, accuracy and precision in measurement and modeling
Topic check
See what you know: 5 questions on this topic
New questions each time. Pass to mark it complete.
Refresh
Related lessons
Solving linear equations and literal equations (rearranging formulas)
Main lesson
Distribute first
Use this for “2(3x − 4) = 4x + 2” (numbers after distributing up to 10).
Solve a formula for a letter
Use this for “Solve P = 2l + 2w for w.”
Solve ax + by = c for y
Use this for “Solve 2x + 3y = 12 for y. What is y when x = 3?”