
Two-Step Equations (Integers, Decimals, Fractions)
Flashcard
•
Mathematics
•
7th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a two-step equation?
Back
A two-step equation is an algebraic equation that requires two operations to solve for the variable. For example, in the equation 2x + 3 = 11, you would first subtract 3 and then divide by 2 to find x.
2.
FLASHCARD QUESTION
Front
How do you isolate a variable in a two-step equation?
Back
To isolate a variable, perform the inverse operations in the reverse order. For example, in the equation 3x - 5 = 10, first add 5 to both sides, then divide by 3.
3.
FLASHCARD QUESTION
Front
What is the first step in solving the equation 4x = 20?
Back
The first step is to divide both sides of the equation by 4 to isolate x.
4.
FLASHCARD QUESTION
Front
What does it mean to perform operations in the reverse order?
Back
It means to apply the opposite operation of what is currently being done to the variable. For example, if the equation has addition, you would subtract to undo it.
5.
FLASHCARD QUESTION
Front
What is the solution to the equation x + 7 = 12?
Back
The solution is x = 5, found by subtracting 7 from both sides.
6.
FLASHCARD QUESTION
Front
How do you check your solution for the equation 2x - 4 = 10?
Back
To check, substitute the solution back into the original equation. If 2(7) - 4 = 10 holds true, then x = 7 is correct.
7.
FLASHCARD QUESTION
Front
What is the importance of showing your work in solving equations?
Back
Showing your work helps to track your thought process, identify mistakes, and understand the steps taken to arrive at the solution.
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