Multi-Step Equations Word Problems

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What is a multi-step equation?

Back

A multi-step equation is an equation that requires more than one step to solve, often involving operations such as addition, subtraction, multiplication, and division.

Tags

CCSS.8.EE.C.7B

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What does it mean to combine like terms?

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Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Tags

CCSS.7.EE.A.1

Front

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

Back

The first step is often to simplify both sides of the equation by combining like terms and eliminating parentheses.

Tags

CCSS.8.EE.C.7B

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to get the variable alone on one side of the equation.

Tags

CCSS.7.EE.B.4A

Front

What is the importance of checking your solution in an equation?

Back

Checking your solution ensures that the value you found satisfies the original equation, confirming its correctness.

Tags

CCSS.8.EE.C.7B

Front

What is a word problem in mathematics?

Back

A word problem is a mathematical problem that is presented in the form of a narrative or real-life scenario, requiring interpretation and translation into a mathematical equation.

Tags

CCSS.HSA.CED.A.2

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How do you set up an equation from a word problem?

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To set up an equation from a word problem, identify the variables, translate the words into mathematical operations, and write an equation that represents the situation.

Front

What is the formula to calculate total cost in a scenario with a fixed fee and a variable cost?

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Total Cost = Fixed Fee + (Variable Cost per Unit × Number of Units).

Front

What does it mean to distribute in an equation?

Back

Distributing means to multiply a term by each term inside parentheses, applying the distributive property.

Tags

CCSS.6.EE.A.3

Front

What is the significance of the equal sign in an equation?

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The equal sign indicates that the expressions on both sides of the equation have the same value.