Solving Equations

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more 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 the first step in solving the equation 2x - 3 + 4x = 27?

Back

Combine like terms: 6x - 3 = 27.

Front

How do you isolate a variable in an equation?

Back

You isolate a variable by performing inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the solution to the equation (2x - 3) / 4 = 9?

Back

x = 19.5.

Front

What is the solution to the equation x - 32 = 49?

Back

x = 81.

Front

What is the solution to the equation 9 + k = 18?

Back

k = 9.

Front

What is the solution to the equation r - 11 = 5?

Back

r = 16.

Front

What is a variable in an equation?

Back

A variable is a symbol, often a letter, that represents an unknown value in an equation.

Front

What does it mean to combine like terms?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.