Equations Warmup - Scales and Verification

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 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 a variable in mathematics?

Back

A variable is a symbol, often represented by letters like x or y, that stands for an unknown value.

Front

What is the balance principle in equations?

Back

The balance principle states that if you perform the same operation on both sides of an equation, the equality remains true.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you need to perform operations that get the variable alone on one side of the equation.

Front

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

Back

The solution is x = 2.

Front

What is the equation represented by the model in the scales: x + 2 = 5?

Back

The equation is x + 2 = 5.

Front

Which equation matches the model represented by the scales: 5x + 2 = 12?

Back

The equation is 5x + 2 = 12.

Front

What is the first step to solve the equation 5x + 2 = 12?

Back

Subtract 2 from both sides: 5x = 10.

Front

What is the next step after 5x = 10?

Back

Divide both sides by 5: x = 2.