Solving Equations with Variables on Both Sides

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.

Front

What is the goal when solving equations with variables on both sides?

Back

The goal is to isolate the variable on one side of the equation to find its value.

Front

What is the first step in solving the equation 7x - 4 = 3 + 8x?

Back

Subtract 7x from both sides to begin isolating the variable.

Front

How do you combine like terms in an equation?

Back

You add or subtract the coefficients of the same variable to simplify the equation.

Front

What is the solution to the equation 3c + 5 = 23?

Back

c = 6.

Front

What is the first step to solve the equation 11 - 3x = 44?

Back

Subtract 11 from both sides.

Front

What does it mean to isolate a variable?

Back

To isolate a variable means to manipulate the equation so that the variable is alone on one side of the equation.

Front

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

Back

x = 3.