Modeling Equations

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 a letter, that represents an unknown value in an equation or expression.

Front

What is the purpose of modeling equations?

Back

Modeling equations helps to represent real-world situations mathematically, allowing for analysis and problem-solving.

Front

What does the term 'isolate the variable' mean?

Back

Isolating the variable means rearranging the equation so that the variable is on one side and all other terms are on the other side.

Front

What is the solution to the equation x - 3 = 9?

Back

x = 12.

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 equation represented by the model: 2x = 4?

Back

The equation states that two times a number (x) equals four.

Front

What does it mean when an equation has no solution?

Back

An equation has no solution when there are no values for the variable that can satisfy the equation.

Front

What is the equation for the model that represents three times a number equals six?

Back

3x = 6.