How do you solve the equation $$x + 5 = 10$$ ?

Subtract 5 from both sides: $$x = 10 - 5$$ , so $$x = 5$$ .

What is the first step to solve $$\frac{1}{2} + x = -\frac{1}{4}$$ ?

Subtract $$\frac{1}{2}$$ from both sides to isolate $$x$$ .

What is the solution to the equation $$-2.6 + x = -4.6$$ ?

Add 2.6 to both sides: $$x = -4.6 + 2.6$$ , so $$x = -2$$ .

What is the solution to the equation $$-35 + y = 70$$ ?

Add 35 to both sides: $$y = 70 + 35$$ , so $$y = 105$$ .

How do you solve $$3x = 12$$ ?

Divide both sides by 3: $$x = \frac{12}{3}$$ , so $$x = 4$$ .

What is the purpose of balancing an equation?

Balancing an equation ensures that both sides remain equal after performing operations.

What does it mean to isolate a variable?

To isolate a variable means to get the variable alone on one side of the equation.

How do you solve $$x - 4 = 3$$ ?

Add 4 to both sides: $$x = 3 + 4$$ , so $$x = 7$$ .

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

Multiply both sides by 5: $$x = 2 * 5$$ , so $$x = 10$$ .

What is a rational number?

A rational number is any number that can be expressed as a fraction or ratio of two integers.

How do you check your solution for $$x + 3 = 7$$ ?

Substitute the solution back into the original equation: if $$x = 4$$ , then $$4 + 3 = 7$$ .

What is the solution to $$x - 1.5 = -2.5$$ ?

Add 1.5 to both sides: $$x = -2.5 + 1.5$$ , so $$x = -1$$ .

One step equations with rational numbers Flashcards

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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 operation, such as addition, subtraction, multiplication, or division.

2.

FLASHCARD QUESTION

Front

What does it mean to 'undo' an operation in an equation?

Back

To 'undo' an operation means to perform the opposite operation to isolate the variable. For example, to undo addition, you subtract.

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

Why do you multiply or divide both sides of an equation?

Back

To maintain the equality of the equation while isolating the variable.

7.

FLASHCARD QUESTION

Front

Back

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