What is the first step in solving the equation $$24 = 3(3x - 7)$$ ?

Distribute the 3 to both terms inside the parentheses: $$24 = 9x - 21$$ .

How do you isolate the variable in the equation $$\frac{x}{3} + 7 = 12$$ ?

Subtract 7 from both sides to get $$\frac{x}{3} = 5$$ , then multiply both sides by 3 to find $$x = 15$$ .

Solve the equation $$-1x + 4x + 6 = 9$$ .

Combine like terms to get $$3x + 6 = 9$$ , then isolate $$x$$ to find $$x = 1$$ .

What is the solution to the equation $$2(x + 4) = 14$$ ?

First, divide both sides by 2 to get $$x + 4 = 7$$ , then subtract 4 to find $$x = 3$$ .

What does 'combine like terms' mean in the context of solving equations?

It means to add or subtract terms that have the same variable raised to the same power to simplify the equation.

What is the solution to the equation $$3x - 7 = 2$$ ?

Add 7 to both sides to get $$3x = 9$$ , then divide by 3 to find $$x = 3$$ .

What is the first step in solving the equation $$5x + 2 = 17$$ ?

Subtract 2 from both sides to get $$5x = 15$$ .

What is the solution to the equation $$x/4 + 3 = 6$$ ?

Subtract 3 from both sides to get $$x/4 = 3$$ , then multiply by 4 to find $$x = 12$$ .

What does it mean to have an 'undefined' solution in an equation?

An undefined solution occurs when the equation has no possible values for the variable that satisfy it.

What is the solution to the equation $$2x - 5 = 3$$ ?

Add 5 to both sides to get $$2x = 8$$ , then divide by 2 to find $$x = 4$$ .

What is the solution to the equation $$x + 5 = 10$$ ?

Subtract 5 from both sides to find $$x = 5$$ .

What is the importance of understanding multi-step equations in mathematics?

Understanding multi-step equations is crucial for solving more complex problems in algebra and real-world applications.

Multi-Step Equations Flashcards

Student preview

15 questions

Show all answers

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 isolate the variable and solve for its value.

Tags

CCSS.8.EE.C.7B

2.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.7.EE.B.4A

3.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.7.EE.B.4A

4.

FLASHCARD QUESTION

Front

What does it mean to isolate the variable?

Back

To isolate the variable means to manipulate the equation so that the variable is on one side by itself, allowing you to find its value.

Tags

CCSS.7.EE.B.4A

5.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.7.EE.B.4A

6.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.7.EE.B.4A

7.

FLASHCARD QUESTION

Front

What is the purpose of checking the solution after solving an equation?

Back

To verify that the solution satisfies the original equation and is correct.

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