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

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

What is the first step in solving the equation 3x - 7 = 18?

Back

The first step is to add 7 to both sides of the equation to eliminate the constant term on the left side.

Front

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

Back

You can check your solution by substituting the value back into the original equation to see if both sides are equal.

Front

What is the solution to the equation k/4 + 3 = 14?

Back

The solution is k = 44.

Front

What is the principle of balancing equations?

Back

The principle of balancing equations states that whatever you do to one side of the equation, you must do to the other side to maintain equality.

Front

What is the solution to the equation -(n - 8) = -2?

Back

The solution is n = 10.

Front

How do you solve the equation 13 = r/9 + 8?

Back

First, subtract 8 from both sides to get 5 = r/9, then multiply both sides by 9 to find r = 45.

Front

What is the combined like terms in the equation 2x - 3 + 4x = 27?

Back

The combined like terms are 6x, so the equation simplifies to 6x - 3 = 27.