Multi-step Equations

Flashcard
•
Mathematics
•
8th - 12th Grade
•
Hard
+3
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a multi-step equation?
Back
A multi-step equation is an equation that requires more than one step to solve. It often involves combining like terms, using the distributive property, and isolating the variable.
Tags
CCSS.8.EE.C.7B
2.
FLASHCARD QUESTION
Front
What is the first step to solve the equation 10 + 2x = 16?
Back
Subtract 10 from both sides to isolate the term with the variable: 2x = 6.
Tags
CCSS.7.EE.B.4A
3.
FLASHCARD QUESTION
Front
What is the solution to the equation 2x = 6?
Back
Divide both sides by 2 to find x: x = 3.
Tags
CCSS.6.EE.B.7
4.
FLASHCARD QUESTION
Front
How do you solve the equation 8v - 4(v + 8) = 8?
Back
First, distribute -4: 8v - 4v - 32 = 8. Then combine like terms: 4v - 32 = 8. Finally, add 32 to both sides and divide by 4: v = 10.
Tags
CCSS.8.EE.C.7B
5.
FLASHCARD QUESTION
Front
What does it mean if an equation has infinitely many solutions?
Back
It means that any value for the variable will satisfy the equation, often occurring when both sides of the equation are equivalent after simplification.
Tags
CCSS.8.EE.C.7A
6.
FLASHCARD QUESTION
Front
What is the solution to the equation 3x + 15 = 3(x + 5)?
Back
Both sides simplify to the same expression, indicating infinitely many solutions.
Tags
CCSS.8.EE.C.7A
7.
FLASHCARD QUESTION
Front
What is the first step to solve the equation 5x - 4 + 2x = 3?
Back
Combine like terms: 7x - 4 = 3.
Tags
CCSS.8.EE.C.7B
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