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 an equation?

Back

A variable is a symbol, often represented by letters like x or f, that stands for an unknown value.

Front

What is a coefficient?

Back

A coefficient is a numerical factor that multiplies a variable in an algebraic expression.

Front

What is a constant in an equation?

Back

A constant is a fixed value that does not change, such as numbers like 5, -3, or 13.

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

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 variable terms to one side.

Front

Solve for f: f - 4 = 6f + 26

Back

f = -6

Front

What is the solution to the equation 7x - 4 = 3 + 8x?

Back

x = -7

Front

What is the solution to the equation 5x - 14 = 8x + 4?

Back

x = -6