Modeling One-Step Equations

Front

What is a one-step equation?

Back

A one-step equation is an algebraic equation that can be solved in a single step, typically involving addition, subtraction, multiplication, or division.

Front

What does the variable 'x' represent in an equation?

Back

The variable 'x' represents an unknown value that we are trying to solve for in an equation.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the solution to the equation x + 3 = 10?

Back

The solution is x = 7.

Front

What does it mean to model an equation with shapes?

Back

Modeling an equation with shapes involves using visual representations (like squares and rectangles) to illustrate the values of variables and constants in the equation.

Front

If a rectangle represents 'x' and a square represents '1', what does 3x + 2 represent?

Back

It represents three rectangles (3x) and two squares (2), which can be visualized as three unknowns and two known values.

Front

What is the equation represented by 4 circles and 2 triangles?

Back

The equation is 2x + 4 = 0, where 'x' represents the value of each triangle.

Front

What is the inverse operation of addition?

Back

The inverse operation of addition is subtraction.

Front

What is the inverse operation of multiplication?

Back

The inverse operation of multiplication is division.

Front

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

Back

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