What is a two-step equation?
Two-step equation word problems (Write and Solve)

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•
Mathematics
•
7th - 8th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
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 = 7, you would first subtract 3 and then divide by 2 to find x.
2.
FLASHCARD QUESTION
Front
How do you write an equation from a word problem?
Back
To write an equation from a word problem, identify the quantities involved, define a variable for the unknown, and translate the relationships described in the problem into mathematical expressions.
3.
FLASHCARD QUESTION
Front
What does the variable represent in an equation?
Back
The variable represents an unknown quantity that we are trying to solve for in the equation.
4.
FLASHCARD QUESTION
Front
How do you isolate a variable in a two-step equation?
Back
To isolate a variable, perform inverse operations in the reverse order of operations. First, eliminate any added or subtracted constants, then divide or multiply to solve for the variable.
5.
FLASHCARD QUESTION
Front
What is the first step in solving the equation 6x + 7 = 331?
Back
The first step is to subtract 7 from both sides of the equation to eliminate the constant term.
6.
FLASHCARD QUESTION
Front
If 6x + 7 = 331, what is the value of x?
Back
x = 54. After isolating x, you find that 6x = 324, and dividing by 6 gives x = 54.
7.
FLASHCARD QUESTION
Front
What is the equation for the total cost of renting a paddle boat for h hours?
Back
The equation is 33 = 2h + 15, where 33 is the total cost, 2h is the cost per hour, and 15 is the deposit fee.
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