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

Front

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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