If you have the equation $$m - 12 = 5$$ , how do you solve for $$m$$ ?

Add 12 to both sides: $$m = 5 + 12$$ , so $$m = 17$$ .

What is the first step to solve $$17 = 0.5p$$ ?

Multiply both sides by 2 to eliminate the fraction: $$34 = p$$ .

What is the solution to the equation $$x + 5 = 12$$ ?

Subtract 5 from both sides: $$x = 12 - 5$$ , so $$x = 7$$ .

In the equation $$a - 75 = 250$$ , how do you find $$a$$ ?

Add 75 to both sides: $$a = 250 + 75$$ , so $$a = 325$$ .

What operation would you perform to solve $$m + 5 = 12$$ ?

Subtract 5 from both sides: $$m = 12 - 5$$ , so $$m = 7$$ .

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

Inverse operations are used to undo the operations applied to the variable, allowing us to isolate it and find its value.

If $$p/5 = 17$$ , how do you solve for $$p$$ ?

Multiply both sides by 5: $$p = 17 * 5$$ , so $$p = 85$$ .

What does it mean if an equation has no solution?

An equation has no solution if there is no value for the variable that makes the equation true, often resulting in a contradiction.

What is the solution to the equation $$3x = 12$$ ?

Divide both sides by 3: $$x = 12/3$$ , so $$x = 4$$ .

How do you check if your solution to an equation is correct?

Substitute the solution back into the original equation to see if both sides are equal.

What is the equation that represents Ted's situation of buying a poster for $12 and having $5 left?

The equation is $$m - 12 = 5$$ .

What is the relationship between the operations of addition and subtraction in solving equations?

Addition and subtraction are inverse operations; adding a number undoes subtraction and vice versa.

Writing and solving one step equations Flashcards

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

What is a one-step equation?

Back

A one-step equation is an algebraic equation that can be solved in a single step by performing the same operation on both sides to isolate the variable.

Tags

CCSS.6.EE.B.7

2.

FLASHCARD QUESTION

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform the opposite operation of what is currently being done to the variable on both sides of the equation.

Tags

CCSS.6.EE.B.7

3.

FLASHCARD QUESTION

Front

What does it mean to 'solve' an equation?

Back

To solve an equation means to find the value of the variable that makes the equation true.

Tags

CCSS.7.EE.B.4A

4.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.6.EE.B.7

5.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.6.EE.B.7

6.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.6.EE.B.7

7.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.6.EE.B.7

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