Solving Equations

Front

What is an equation?

Back

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

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 solution to the equation 52 = -5x - 3?

Back

x = -11

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 is the solution to the equation 12x = 144?

Back

x = 12

Front

What does it mean if an equation has no solution?

Back

An equation has no solution if there is no value for the variable that makes the equation true.

Front

What is the solution to the equation -6x = 18?

Back

x = -3

Front

What is the principle of equality in solving equations?

Back

The principle of equality states that if you add, subtract, multiply, or divide both sides of an equation by the same number, the two sides remain equal.

Front

What is the solution to the equation 3y = -15?

Back

y = -5

Front

How can 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.