How do you solve $$\frac{x}{5} = -6$$ ?

Multiply both sides by 5: $$x = -30$$ .

What is the solution to the equation $$12w = 30$$ ?

Divide both sides by 12: $$w = 2.5$$ or $$w = \frac{5}{2}$$ .

How do you simplify the equation $$2y + 6(y + 3) = 34$$ ?

Distribute 6: $$2y + 6y + 18 = 34$$ , then combine like terms: $$8y + 18 = 34$$ .

What is the first step to solve $$-13 = 7 + \frac{a}{4}$$ ?

Subtract 7 from both sides: $$-20 = \frac{a}{4}$$ .

How do you solve for $$a$$ in the equation $$-20 = \frac{a}{4}$$ ?

Multiply both sides by 4: $$a = -80$$ .

What is the solution to the equation $$4(a + 2) - 9 = 11$$ ?

Add 9 to both sides: $$4(a + 2) = 20$$ , then divide by 4: $$a + 2 = 5$$ , so $$a = 3$$ .

What is the distributive property?

The distributive property states that $$a(b + c) = ab + ac$$ . It allows you to multiply a single term by two or more terms inside a set of parentheses.

Like terms are terms that have the same variable raised to the same power. For example, $$3x$$ and $$5x$$ are like terms.

What does it mean to combine like terms?

Combining like terms involves adding or subtracting the coefficients of like terms to simplify an expression.

What is the purpose of checking your solution in an equation?

Checking your solution ensures that the value you found satisfies the original equation, confirming that it is correct.

How do you check the solution $$x = -30$$ in the equation $$\frac{x}{5} = -6$$ ?

Substitute -30 into the equation: $$\frac{-30}{5} = -6$$ , which is true.

What is the importance of understanding multi-step equations?

Understanding multi-step equations is crucial for solving more complex algebraic problems and for developing critical thinking skills in mathematics.

What strategies can be used to solve multi-step equations?

Strategies include using the distributive property, combining like terms, isolating the variable, and performing inverse operations.

Solve Multi-Step Equation (Variable on one side) Flashcards

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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 does it mean to isolate a variable in an equation?

Back

Isolating a variable means rearranging the equation so that the variable is on one side and all other terms are on the opposite side.

3.

FLASHCARD QUESTION

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4.

FLASHCARD QUESTION

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5.

FLASHCARD QUESTION

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6.

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7.

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