one solution, no solution, infinite solutions

Flashcard
•
Mathematics
•
8th Grade
•
Hard
+3
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is meant by 'one solution' in a linear equation?
Back
A linear equation has 'one solution' when there is exactly one value of the variable that satisfies the equation.
Tags
CCSS.7.EE.B.4A
2.
FLASHCARD QUESTION
Front
What does 'no solution' mean in the context of linear equations?
Back
'No solution' occurs when the equations represent parallel lines that never intersect, meaning there is no value for the variable that can satisfy both equations.
Tags
CCSS.8.EE.C.8A
3.
FLASHCARD QUESTION
Front
What does 'infinite solutions' mean in a linear equation?
Back
'Infinite solutions' occur when the equations represent the same line, meaning any value of the variable will satisfy the equation.
Tags
CCSS.8.EE.C.8B
4.
FLASHCARD QUESTION
Front
Solve for x: 2x + 3 = 7
Back
x = 2
Tags
CCSS.7.EE.B.4A
5.
FLASHCARD QUESTION
Front
Solve for x: 3(x - 1) = 2(x + 2)
Back
x = 5
6.
FLASHCARD QUESTION
Front
Solve for x: 5x - 10 = 0
Back
x = 2
Tags
CCSS.6.EE.B.7
7.
FLASHCARD QUESTION
Front
What is the first step in solving the equation 4x + 8 = 24?
Back
Subtract 8 from both sides to isolate the term with x.
Tags
CCSS.7.EE.B.4A
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