Solving Equations with Variable 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 or expression.

Front

What does it mean to have variables on both sides of an equation?

Back

It means that the variable appears in expressions on both the left and right sides of the equation.

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 side.

Front

What is the first step in solving an equation with variables on both sides?

Back

The first step is to simplify both sides of the equation if necessary, and then move all terms containing the variable to one side.

Front

Solve: 4k + 39 = 7k + 6

Back

k = 11

Front

Solve: 8b + 10 = 3b + 25

Back

b = 3

Front

Solve: 6a = 60 + 36a

Back

a = -2

Front

Solve: 25x = 90 - 5x

Back

x = 3