What is the first step to solve the equation $$11 - 3x = 44$$ ?

Subtract 11 from both sides: $$-3x = 33$$ .

What is the solution to the equation $$2x - 3 + 4x = 27$$ ?

Combine like terms: $$6x - 3 = 27$$ . Then add 3 and divide by 6: $$x = 5$$ .

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.

How do you isolate a variable in an equation?

You perform inverse operations to get the variable by itself on one side of the equation.

What is the solution to the inequality $$x + 5 > 10$$ ?

Subtract 5 from both sides: $$x > 5$$ .

What does it mean if an inequality has a closed circle on a number line?

A closed circle indicates that the number is included in the solution set, such as in $$x ≤ 4$$ .

How do you check if a solution to an inequality is correct?

Substitute the solution back into the original inequality to see if it holds true.

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

A linear equation shows equality (e.g., $$y = 2x + 1$$ ), while a linear inequality shows a range of values (e.g., $$y

What is the solution to the equation $$3x + 4 = 19$$ ?

Subtract 4 from both sides: $$3x = 15$$ . Then divide by 3: $$x = 5$$ .

Solving Linear Equations and 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 is an inequality?

Back

3.

FLASHCARD QUESTION

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Back

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

Back

It represents all numbers to the left of 3, not including 3 itself.

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

Back

It is a number line with an open circle at 3 and shading to the left.

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