Equations with Variables on Both Sides

Front

What is an equation with variables on both sides?

Back

An equation where the variable appears on both the left and right sides, requiring manipulation to isolate the variable.

Front

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

Back

f = -6

Front

What is the first step to solve an equation with variables on both sides?

Back

Combine like terms and move all variable terms to one side of the equation.

Front

Solve for t: 30 + 6t = 11t

Back

t = 6

Front

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

Back

To manipulate the equation so that the variable is alone on one side, making it easy to find its value.

Front

Solve for x: 2x = x + 3

Back

x = 3

Front

What is the goal of solving equations?

Back

To find the value of the variable that makes the equation true.

Front

Solve for y: 14y + 5 = 8y - 1

Back

y = -1

Front

What is a coefficient in an equation?

Back

A numerical factor that multiplies a variable.

Front

What is a constant in an equation?

Back

A fixed value that does not change, represented by a number.