How do you solve the equation $$5x - 4 + 2x = 3$$ ?

Combine like terms: $$7x - 4 = 3$$ . Then add 4 to both sides: $$7x = 7$$ . Finally, divide by 7: $$x = 1$$ .

How do you solve the equation $$3(3x - 6) = 18$$ ?

First, apply the distributive property: $$9x - 18 = 18$$ . Then add 18 to both sides: $$9x = 36$$ . Finally, divide by 9: $$x = 4$$ .

How do you solve the equation $$49 - 3m = 4m + 14$$ ?

First, add 3m to both sides: $$49 = 7m + 14$$ . Then subtract 14 from both sides: $$35 = 7m$$ . Finally, divide by 7: $$m = 5$$ .

What is the first step in solving the equation $$a - 2 + 3 = -2$$ ?

First, simplify the left side: $$a + 1 = -2$$ . Then subtract 1 from both sides: $$a = -3$$ .

How do you isolate a variable in an equation?

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

How do you solve the equation $$4x - 2 = 22 - 8x$$ ?

First, add 8x to both sides: $$12x - 2 = 22$$ . Then add 2 to both sides: $$12x = 24$$ . Finally, divide by 12: $$x = 2$$ .

What is a coefficient in an equation?

A coefficient is a numerical factor that multiplies a variable in an algebraic expression, such as the 5 in $$5x$$ .

What does it mean to combine like terms?

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power, simplifying the expression.

What is the goal when solving an equation?

The goal is to find the value of the variable that makes the equation true.

What is the importance of checking your solution?

Checking your solution ensures that the value you found satisfies the original equation, confirming its correctness.

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.

How can you verify your solution to an equation?

You can verify your solution by substituting the value back into the original equation to see if both sides are equal.

Multi Step Equations Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a multi-step equation?

Back

A multi-step equation is an equation that requires more than one step to solve. It often involves combining like terms, using the distributive property, and isolating the variable.

2.

FLASHCARD QUESTION

Front

Back

3.

FLASHCARD QUESTION

Front

What is the distributive property?

Back

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

What does it mean if an equation has infinitely many solutions?

Back

An equation has infinitely many solutions if any value of the variable satisfies the equation, often occurring when both sides of the equation are equivalent.

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

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Back

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