Two-Step Equations Word Problems

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What is a two-step equation?

Back

A two-step equation is an algebraic equation that requires two operations to solve for the variable. It typically involves addition or subtraction followed by multiplication or division.

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. First, eliminate any constant added or subtracted from the variable, then divide or multiply to solve for the variable.

Front

What does it mean to write an equation from a word problem?

Back

Writing an equation from a word problem involves translating the words into mathematical expressions and symbols that represent the relationships described in the problem.

Front

In the equation 0.50x + 20 = 35, what does 'x' represent?

Back

'x' represents the number of ride tickets Penelope buys at the carnival.

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How do you check if your solution to a two-step equation is correct?

Back

To check your solution, substitute the value of the variable back into the original equation and verify if both sides are equal.

Front

What is the first step to solve the equation 10 + 7x = 24?

Back

The first step is to subtract 10 from both sides of the equation to isolate the term with the variable.

Front

What does the equation 331 = 6x + 7 represent in the context of a word problem?

Back

This equation represents the total number of students (331) being equal to the number of students in the buses (6x) plus the number of students who traveled in cars (7).

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If Jim has paid a total of $290 to the gym, what does the equation 50 + 20m = 290 help us find?

Back

This equation helps us find the number of months (m) Jim has been a member of the gym, considering the initial fee and the monthly fee.

Front

What is the significance of the constant term in a two-step equation?

Back

The constant term represents a fixed value that is added or subtracted from the variable, affecting the overall balance of the equation.

Front

How can you represent the situation where Jill sold half of her comic books and then got sixteen more?

Back

This situation can be represented by the equation x/2 + 16 = 36, where 'x' is the initial number of comic books.