Equation Models

Front

What is an equation model?

Back

An equation model is a mathematical representation that describes a relationship between variables using an equation.

Front

What does it mean to solve for x in an equation?

Back

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

Front

What is the equation for the model: x + (-6) = -11?

Back

x = -11 + 6, which simplifies to x = -5.

Front

What is the solution to the equation 3x = 8?

Back

x = 8/3 or approximately 2.67.

Front

How do you isolate x in the equation x - 3 = 8?

Back

Add 3 to both sides: x = 8 + 3, so x = 11.

Front

What is the first step to solve the equation 2x = 4?

Back

Divide both sides by 2: x = 4/2, so x = 2.

Front

What does the equation 3x = -18 represent?

Back

It represents a linear relationship where the variable x is multiplied by 3 to equal -18.

Front

How do you check if x = 2 is a solution for the equation x + 6 = 4?

Back

Substitute 2 into the equation: 2 + 6 = 8, which is not equal to 4, so x = 2 is not a solution.

Front

What is the solution to the equation x + 6 = -11?

Back

x = -11 - 6, which simplifies to x = -17.

Front

What does it mean when an equation has no solution?

Back

It means there is no value for the variable that can satisfy the equation.