Multi-step equations

Flashcard
•
Mathematics
•
8th - 11th Grade
•
Hard
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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, often involving operations such as addition, subtraction, multiplication, and division.
2.
FLASHCARD QUESTION
Front
How do you isolate a variable in an equation?
Back
To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.
3.
FLASHCARD QUESTION
Front
What does it mean if an equation has 'no solution'?
Back
An equation has 'no solution' when there are no values that can satisfy the equation, often resulting in a contradiction.
4.
FLASHCARD QUESTION
Front
What is the first step in solving the equation \( \frac{(2x + 12)}{4} = 12 \)?
Back
The first step is to multiply both sides of the equation by 4 to eliminate the fraction.
5.
FLASHCARD QUESTION
Front
How do you check if your solution to an equation is correct?
Back
You can check your solution by substituting the value back into the original equation to see if both sides are equal.
6.
FLASHCARD QUESTION
Front
What is the solution to the equation \( x + 9 = x - 9 \)?
Back
The solution is 'no solution' because simplifying leads to a contradiction (9 = -9).
7.
FLASHCARD QUESTION
Front
What is the process to solve \( 8v - 4(v + 8) = 8 \)?
Back
First, distribute -4 to (v + 8), then combine like terms and isolate v.
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