Solving Equations with Variables on Both Sides

Front

What is the first step in solving the equation f - 4 = 6f + 26?

Back

Isolate the variable by moving all terms involving f to one side of the equation.

Front

What does it mean to solve an equation with variables on both sides?

Back

It means to find the value of the variable that makes both sides of the equation equal.

Front

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

Back

f = -6

Front

What is the goal of solving equations?

Back

Find the value of the variable.

Front

Solve the equation: 7x - 4 = 3 + 8x

Back

x = -7

Front

What is the process of combining like terms in an equation?

Back

It involves adding or subtracting terms that have the same variable and exponent.

Front

Solve for x: 5x - 14 = 8x + 4

Back

x = -6

Front

What does it mean to isolate a variable in an equation?

Back

To get the variable alone on one side of the equation.

Front

Solve the equation: 7x = 3x + 24

Back

x = 6

Front

What is a coefficient in an equation?

Back

A coefficient is a numerical factor that multiplies a variable.