Solving Equations

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more variables.

Front

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

Back

Isolating a variable means manipulating the equation to get the variable on one side of the equation by itself.

Front

Back

Distribute -3 to both terms inside the parentheses.

Front

Back

Add 62 to both sides to isolate x.

Front

Back

Subtract 7 from both sides, then divide by 4 to find b = 5.

Front

Back

Subtract 6 from both sides, then divide by -3 to find a = -5.

Front

Back

Add n to both sides and subtract 2 from both sides to find n = -8.

Front

What is the purpose of checking your solution after solving an equation?

Back

To verify that the solution satisfies the original equation.

Front

What does it mean to balance an equation?

Back

Balancing an equation means performing the same operation on both sides to maintain equality.

Front

What is a variable in an equation?

Back

A variable is a symbol, often a letter, that represents an unknown value in an equation.