Solving Equations with variables on both sides

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

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

Back

The first step is to isolate the variable by moving all terms containing the variable to one side of the equation.

Front

What is the solution to the equation 6(5g + 2) = 30g?

Back

no solution

Front

How do you check if your solution to an equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

What is the solution to the equation f - 4 = 6f + 26?

Back

f = -6

Front

What does it mean if an equation has 'all real numbers' as a solution?

Back

It means that any value for the variable will satisfy the equation.

Front

What is the solution to the equation 5(2x - 1) = -5 + 10x?

Back

all real numbers

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

Front

What is the importance of combining like terms when solving equations?

Back

Combining like terms simplifies the equation, making it easier to isolate the variable.