Writing Two-Step Equations from Real-World Scenarios

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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 isolating the variable on one side of the equation.

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How do you isolate a variable in a two-step equation?

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To isolate a variable in a two-step equation, you perform the inverse operations in the reverse order of how they are applied. First, eliminate any constant added or subtracted from the variable, then divide or multiply to solve for the variable.

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What is the first step in solving the equation 25x + 35 = 875?

Back

The first step is to subtract 35 from both sides of the equation to isolate the term with the variable.

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In the equation 75x + 55 = 11000, what does 'x' represent?

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In this equation, 'x' represents the number of tickets sold by the drama club.

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What is the purpose of a bonus in a pay equation?

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A bonus is an additional amount added to the base pay, which can affect the total earnings represented in the equation.

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How can you represent a weekly deposit in an equation?

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A weekly deposit can be represented as a variable multiplied by the number of weeks, such as 75x, where 'x' is the number of weeks.

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What does the term 'total pay' refer to in a pay equation?

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Total pay refers to the sum of all earnings, including hourly wages and any bonuses or additional payments.

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How do you set up an equation for savings over time?

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To set up an equation for savings over time, you can use the formula: total savings = initial amount + (savings per week * number of weeks).

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What is the significance of the monthly service fee in a phone bill equation?

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The monthly service fee is a fixed cost that must be added to the variable cost of usage (e.g., per minute charges) to determine the total bill.

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How do you determine the number of weeks needed to reach a savings goal?

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To determine the number of weeks needed to reach a savings goal, set up an equation that equates the total savings to the goal and solve for the variable representing weeks.