What is the first step in solving the equation $$8x - 10 = -34$$ ?

Add 10 to both sides to isolate the term with the variable: $$8x = -34 + 10$$ .

How do you isolate the variable x in the equation $$8x = -24$$ ?

Divide both sides by 8: $$x = -24 / 8$$ .

How do you solve the equation $$\frac{y}{1.5} = 2.4$$ for y?

Multiply both sides by 1.5: $$y = 2.4 * 1.5 = 3.6$$ .

How do you find the value of x in the equation $$7x + 35 = 63$$ ?

Subtract 35 from both sides and then divide by 7: $$7x = 63 - 35$$ .

What is the equation that represents sharing a bag of candy equally among 4 friends, where each ends up with 8 pieces after giving away 7?

The equation is $$\frac{c}{4} - 7 = 8$$ .

How do you solve the equation $$\frac{c}{4} - 7 = 8$$ for c?

Add 7 to both sides and then multiply by 4: $$c = (8 + 7) * 4$$ .

What is a variable in the context of an equation?

A variable is a symbol, often represented by a letter, that stands for an unknown value in an equation.

What is the purpose of using equations in real-life situations?

Equations help to model and solve problems involving relationships between quantities.

What is the difference between an expression and an equation?

An expression is a combination of numbers and variables without an equality sign, while an equation includes an equality sign.

What does it mean to check your solution after solving an equation?

To check your solution means to substitute the value back into the original equation to verify that both sides are equal.

Why is it important to isolate the variable when solving equations?

Isolating the variable allows you to find its value clearly and directly, making it easier to understand the solution.

Equations Practice Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more variables.

2.

FLASHCARD QUESTION

Front

What does it mean to solve for a variable in an equation?

Back

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

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

What is the equation used to find the cost of each video game if Steven used a $15 gift card and paid $68 for 3 games?

Back

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

Back

The variable x represents the number of hours Scott worked on Kylie's car.

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