How do you isolate a variable in a linear equation?

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

What is the solution to the equation $$5(2x-9) + 3 = -7$$ ?

The solution is $$x = \frac{7}{2}$$ .

What is the solution to the equation $$7p + 9 - p = 4p - 2$$ ?

The solution is $$p = -\frac{11}{2}$$ .

What is a system of linear equations?

A system of linear equations is a set of two or more linear equations with the same variables. The solution is the point(s) where the equations intersect.

What does it mean for a linear inequality to be true?

A linear inequality is true for all values of the variable that make the inequality hold, meaning the left side is greater than or less than the right side.

What is the difference between a linear equation and a linear inequality?

A linear equation states that two expressions are equal, while a linear inequality states that one expression is greater than or less than another.

How do you solve a linear inequality?

To solve a linear inequality, isolate the variable using inverse operations, similar to solving a linear equation, and then represent the solution on a number line.

Solving Linear Equations and Linear Inequalities 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

What does it mean to solve a linear equation?

Back

To solve a linear equation means to find the value of the variable that makes the equation true.

3.

FLASHCARD QUESTION

Front

What is the general form of a linear inequality?

Back

4.

FLASHCARD QUESTION

Front

How do you graph a linear equation?

Back

To graph a linear equation, you can find two or more points that satisfy the equation and plot them on a coordinate plane, then draw a straight line through these points.

5.

FLASHCARD QUESTION

Front

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

Back

6.

FLASHCARD QUESTION

Front

What is the slope of a line?

Back

7.

FLASHCARD QUESTION

Front

What is the y-intercept of a linear equation?

Back

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