Solving Equations With Variables on Both Sides

Front

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

Back

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

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 isolate a variable means to get that variable alone on one side of the equation, making it easier to solve.

Front

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

Back

f = -6

Front

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

Back

The goal is to find the value of the variable that makes the equation true.

Front

Solve for t: 30 + 6t = 11t

Back

t = 6

Front

What is a common mistake when solving equations with variables on both sides?

Back

A common mistake is forgetting to perform the same operation on both sides of the equation.

Front

Solve for x: 2x = x + 3

Back

x = 3

Front

What does it mean to check your solution after solving an equation?

Back

To check your solution means to substitute the value back into the original equation to verify that both sides are equal.

Front

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

Back

x = -7