Writing and Solving Equations Geometry

Front

What is the formula for the perimeter of a rectangle?

Back

The perimeter (P) of a rectangle is given by the formula: P = 2(length + width).

Front

What is the formula for the perimeter of a square?

Back

The perimeter (P) of a square is given by the formula: P = 4 × side length.

Front

If two shapes have the same perimeter, what can we say about their dimensions?

Back

If two shapes have the same perimeter, the sum of their corresponding side lengths is equal.

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 an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform operations to get the variable on one side of the equation and the constants on the other.

Front

Back

The first step is to move all terms involving x to one side and constant terms to the other side.

Front

Back

The solution is x = -3.

Front

Back

The perimeter is P = 4(2x + 5) = 8x + 20.

Front

Back

The perimeter is P = 2((x + 5) + (2x + 7)) = 2(3x + 12) = 6x + 24.