What is the first step in solving the equation $$3(2x - 5) = 21$$ ?

The first step is to distribute the 3, resulting in $$6x - 15 = 21$$ .

How do you solve the equation $$6 - 3a = 21$$ ?

First, subtract 6 from both sides to get $$-3a = 15$$ . Then, divide by -3 to find $$a = -5$$ .

What is the solution to the equation $$4(x + 2) = 16$$ ?

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

What is the solution to the equation $$7 + \frac{a}{3} = 5$$ ?

First, subtract 7 from both sides to get $$\frac{a}{3} = -2$$ . Then, multiply both sides by 3 to find $$a = -6$$ .

What is the purpose of using inverse operations in solving equations?

Inverse operations are used to undo operations performed on a variable, helping to isolate the variable and solve the equation.

What is the solution to the equation $$-124 = 4(1 + 8k)$$ ?

First, divide both sides by 4 to get $$-31 = 1 + 8k$$ . Then, subtract 1 to find $$-32 = 8k$$ . Finally, divide by 8 to find $$k = -4$$ .

What is the first step in solving the equation $$2x + 3 = 11$$ ?

The first step is to subtract 3 from both sides to get $$2x = 8$$ .

What does it mean to 'solve for x'?

To 'solve for x' means to find the value of the variable x that makes the equation true.

What is the solution to the equation $$5x - 2 = 3x + 6$$ ?

First, subtract 3x from both sides to get $$2x - 2 = 6$$ . Then, add 2 to both sides to find $$2x = 8$$ . Finally, divide by 2 to find $$x = 4$$ .

What is the solution to the equation $$x/4 + 2 = 5$$ ?

First, subtract 2 from both sides to get $$x/4 = 3$$ . Then, multiply both sides by 4 to find $$x = 12$$ .

What is the importance 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.

Solving multiple 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 solve. It often involves combining like terms, using the distributive property, and isolating the variable.

Tags

CCSS.8.EE.C.7B

2.

FLASHCARD QUESTION

Front

What is the distributive property?

Back

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.

Tags

CCSS.6.EE.A.3

3.

FLASHCARD QUESTION

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you need to perform inverse operations to get the variable by itself on one side of the equation.

Tags

CCSS.6.EE.B.7

4.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.7.EE.B.4A

5.

FLASHCARD QUESTION

Front

What does it mean to combine like terms?

Back

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

Tags

CCSS.7.EE.A.1

6.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.7.EE.B.4A

7.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.7.EE.B.4A

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