What is the first step in solving the equation $$2x + 5 = 15$$ ?

Subtract 5 from both sides to isolate the term with the variable: $$2x = 10$$ .

What is the principle of balancing equations?

The principle of balancing equations states that whatever you do to one side of the equation, you must do to the other side to maintain equality.

What is the slope-intercept form of a linear equation?

The slope-intercept form is $$y = mx + b$$ , where $$m$$ is the slope and $$b$$ is the y-intercept.

What does it mean if a linear equation has no solution?

A linear equation has no solution if the lines represented by the equations are parallel, meaning they never intersect.

What does it mean if a linear equation has infinitely many solutions?

A linear equation has infinitely many solutions if the two sides of the equation are equivalent for all values of the variable.

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 its correctness.

What is the difference between a dependent and independent variable in a linear equation?

The independent variable is the one you can control or change (often x), while the dependent variable is the one that depends on the independent variable (often y).

Solving Linear Equations Review Flashcards

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15 questions

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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

Front

What does it mean to solve a linear equation?

Back

Solving a linear equation means finding the value of the variable that makes the equation true.

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

How do you set up an equation to compare two costs?

Back

7.

FLASHCARD QUESTION

Front

Back

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