One Solution, No Solution, Infinite Solutions

Flashcard
•
Mathematics
•
8th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What does it mean if an equation has no solution?
Back
An equation has no solution when there are no values for the variable that can satisfy the equation. This often occurs when simplifying leads to a contradiction, such as 0 = 5.
2.
FLASHCARD QUESTION
Front
What does it mean if an equation has one solution?
Back
An equation has one solution when there is exactly one value for the variable that satisfies the equation. For example, the equation x + 2 = 5 has one solution: x = 3.
3.
FLASHCARD QUESTION
Front
What does it mean if an equation has infinite solutions?
Back
An equation has infinite solutions when any value for the variable satisfies the equation. This occurs when both sides of the equation are equivalent after simplification, such as 2x + 4 = 2(x + 2).
4.
FLASHCARD QUESTION
Front
Solve: 2x + 1 = 2x - 1
Back
No Solution
5.
FLASHCARD QUESTION
Front
Simplify and determine the solution type: 3x - 7 = 3(x - 3) + 2
Back
Infinite Solutions
6.
FLASHCARD QUESTION
Front
Solve: 3(x-2) + 1 = 3x - 5
Back
Infinite Solutions
7.
FLASHCARD QUESTION
Front
Solve: 23 - 9x = -56x - 28
Back
x = -1.09
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