How do you solve the equation $$\frac{1}{2}x + \frac{1}{3}x = 5$$ ?

Combine like terms to get $$\frac{5}{6}x = 5$$ , then multiply both sides by $$\frac{6}{5}$$ to find $$x = 6$$ .

How do you solve the equation $$4 - 6x - 2 = -2(3x - 1)$$ ?

Distribute -2 to get $$4 - 6x - 2 = -6x + 2$$ , then simplify to find that there are infinitely many solutions.

What is the first step in solving the equation $$5 - 2(x - 7) = x + 1 + 3x$$ ?

The first step cannot be to simplify $$5 - 2$$ ; you should distribute -2 to $$(x - 7)$$ first.

How do you solve for h in the equation $$V = \frac{1}{3}Bh$$ ?

To solve for h, multiply both sides by $$\frac{3}{B}$$ to get $$h = \frac{3V}{B}$$ .

What is the solution to the equation $$2x - 1 = \frac{3}{4}x + 9$$ ?

Isolate x to find that $$x = 8$$ .

An equation is a mathematical statement that asserts the equality of two expressions.

What does it mean to isolate a variable?

Isolating a variable means to manipulate the equation so that the variable is on one side of the equation by itself.

What is a solution to an equation?

A solution to an equation is a value that, when substituted for the variable, makes the equation true.

What is the purpose of checking your solution?

Checking your solution ensures that the value you found satisfies the original equation.

What is the difference between a unique solution and infinitely many solutions?

A unique solution means there is one specific value for the variable, while infinitely many solutions mean any value satisfies the equation.

What is the importance of understanding the order of operations in solving equations?

Understanding the order of operations helps ensure that you perform calculations in the correct sequence to arrive at the right solution.

Solving Multi-Step Equations AND Literal 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

What is a literal equation?

Back

A literal equation is an equation that involves two or more variables and is solved for one variable in terms of the others.

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

5.

FLASHCARD QUESTION

Front

What is the distributive property?

Back

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

Back

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