How do you solve the equation $$\frac{x}{3} + 10 = 15$$ ?

Subtract 10 from both sides to get $$\frac{x}{3} = 5$$ , then multiply both sides by 3 to find $$x = 15$$ .

What is the solution to the equation $$8x + 2 + 3x + 5 = x + 12$$ ?

Combine like terms to get $$11x + 7 = x + 12$$ , then isolate $$x$$ to find $$x = \frac{1}{2}$$ .

How do you solve the equation $$2(3x + 4) + 2 = 4 + 3x$$ ?

Distribute to get $$6x + 8 + 2 = 4 + 3x$$ , simplify to find $$x = -2$$ .

What is the first step in solving a linear equation?

The first step is to simplify both sides of the equation, which may include combining like terms and eliminating parentheses.

What is the importance of checking your solution in a linear equation?

Checking your solution ensures that the value you found satisfies the original equation, confirming that it 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 $$4x$$ , 4 is the coefficient.

What is a constant in a linear equation?

A constant is a fixed value that does not change. In the equation $$4x + 1 = 7x - 5$$ , both 1 and -5 are constants.

How do you handle fractions in linear equations?

To handle fractions, you can multiply both sides of the equation by the least common denominator to eliminate the fractions.

What is the difference between an equation and an expression?

An equation states that two expressions are equal, while an expression is a combination of numbers, variables, and operations without an equality sign.

What is the significance of the slope in a linear equation?

The slope indicates the steepness of the line represented by the equation and shows the rate of change between the variables.

What is the standard form of a linear equation?

The standard form of a linear equation is $$Ax + By = C$$ , where $$A$$ , $$B$$ , and $$C$$ are integers, and $$A$$ should be non-negative.

Solving Linear Equations (Kondor Edit) Flashcards

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1.

FLASHCARD QUESTION

Front

What is a linear equation?

Back

2.

FLASHCARD QUESTION

Front

How do you isolate a variable in a linear equation?

Back

3.

FLASHCARD QUESTION

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Back

4.

FLASHCARD QUESTION

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Back

5.

FLASHCARD QUESTION

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6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

What does it mean for an equation to be balanced?

Back

An equation is balanced when both sides are equal. This means that any operation performed on one side must also be performed on the other side to maintain equality.

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