Two Step Equations Review

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. It typically involves isolating the variable on one side of the equation.

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How do you translate a word problem into an equation?

Back

To translate a word problem into an equation, identify the quantities involved, determine the relationships between them, and express these relationships using mathematical symbols.

Front

What does 'translate this sentence' mean in the context of algebra?

Back

It means to convert a verbal expression or statement into a mathematical equation that represents the same relationship.

Front

What is the first step in solving a two-step equation?

Back

The first step is usually to isolate the term with the variable by performing the inverse operation of the constant term.

Front

What is the second step in solving a two-step equation?

Back

The second step is to isolate the variable by performing the inverse operation of the coefficient of the variable.

Front

How do you solve the equation 7.25x + 6.75 = 93.75?

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First, subtract 6.75 from both sides to get 7.25x = 87.00. Then, divide both sides by 7.25 to find x = 12.

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What does 'four less than six times a number' translate to in algebra?

Back

It translates to the equation 6x - 4.

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How do you determine the total cost in a word problem involving hourly rates?

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The total cost can be determined by multiplying the hourly rate by the number of hours worked and adding any additional costs.

Front

What is the equation for Dawson’s Garage problem?

Back

The equation is 55h + 142 = 362, where h represents the number of hours worked.

Front

What does 'seven more than three times a number' mean in algebraic terms?

Back

It means the expression 3x + 7.