Solving 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 sides of the equal sign, requiring manipulation to isolate the variable.

Front

How do you isolate a variable in an equation?

Back

By performing inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the first step in solving the equation 5x - 14 = 8x + 4?

Back

Subtract 5x from both sides to begin isolating the variable.

Front

What does it mean if an equation has 'no solution'?

Back

It means that there are no values for the variable that can satisfy the equation.

Front

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

Back

It means that any real number can be a solution to the equation.

Front

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

Back

x = -6

Front

Solve for x: 7x - 4 = 3 + 8x

Back

x = -7

Front

What is the solution to the equation 2(x + 6) + 3 = 9 + 5x?

Back

x = 2

Front

Solve for a: 8 - 3a + 12 = 2a

Back

a = 4

Front

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

Back

All real numbers.