What is the distributive property?

The distributive property states that $$a(b + c) = ab + ac$$ . It allows you to multiply a single term by two or more terms inside a set of parentheses.

What is the first step in solving a linear equation?

The first step is to simplify both sides of the equation, if possible, by combining like terms and using the distributive property.

Like terms are terms that have the same variable raised to the same power. For example, $$3x$$ and $$5x$$ are like terms, while $$3x$$ and $$4y$$ are not.

What is the goal when solving a linear equation?

The goal is to find the value of the variable that makes the equation true.

What does it mean if an equation has no solution?

An equation has no solution if there is no value for the variable that can satisfy the equation, often resulting in a contradiction.

What does it mean if an equation has infinitely many solutions?

An equation has infinitely many solutions if any value for the variable satisfies the equation, often resulting in a true statement.

What is the importance of checking your solution?

Checking your solution involves substituting the value back into the original equation to ensure it makes the equation true, confirming the solution is correct.

What is a coefficient in a linear equation?

A coefficient is a numerical factor that multiplies a variable in an equation. For example, in $$3x + 4 = 10$$ , $$3$$ is the coefficient of $$x$$ .

Solving Linear Equations

Flashcard

•

Mathematics

•

8th Grade

•

Practice Problem

•

Hard

•

CCSS

8.EE.C.7B, 7.EE.B.4A, 6.EE.A.2B

Standards-aligned

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FLASHCARD QUESTION

Front

What is a linear equation?

Back

FLASHCARD QUESTION

Front

How do you isolate a variable in a linear equation?

Back

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