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 on both sides of the equation to get the variable alone.

Front

What does it mean to solve an equation?

Back

Finding the value(s) of the variable that make the equation true.

Front

What is the first step in solving the equation -5k + 10 = -2k - 14?

Back

Add 2k to both sides to combine like terms.

Front

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

Back

All real numbers, since both sides simplify to the same expression.

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 22 + 2a = 37 + 6 + a?

Back

a = 21.

Front

What does it mean if an equation has no solution?

Back

It means there is no value for the variable that can satisfy the equation.

Front

What is the solution to the equation 24k - 72 = 3(8k - 16)?

Back

All real numbers, as both sides simplify to the same expression.

Front

What is the process to solve the equation 7x - 4 = 3 + 8x?

Back

Subtract 7x from both sides and then add 4 to both sides to isolate x.