Balancing Equations Flashcard

Front

What is an equation?

Back

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

Front

What does it mean to balance an equation?

Back

Balancing an equation means ensuring that both sides of the equation have the same value by performing the same operations on both sides.

Front

What is the first step in solving the equation 5x - 8 = 12?

Back

The first step is to isolate the variable term by adding 8 to both sides, resulting in 5x = 20.

Front

How do you isolate the variable in the equation 2x + 5 = 15?

Back

Subtract 5 from both sides to get 2x = 10, then divide by 2 to find x = 5.

Front

What is the solution to the equation 3(x + 4) = 27?

Back

The solution is x = 5.

Front

What is a variable in an equation?

Back

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

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

What is the missing number in the equation 8 + 4 = 12 + ?

Back

The missing number is 0.

Front

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

Back

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

Front

What is the solution to the equation 2x + 3 = 7x - 5?

Back

The solution is x = 4.