solve 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 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 -7(6 + d) = 49?

Back

Distribute -7 to both terms inside the parentheses.

Front

How do you isolate a variable in an equation?

Back

You isolate a variable by performing inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the inverse operation of addition?

Back

Subtraction.

Front

What is the inverse operation of multiplication?

Back

Division.

Front

In the equation 5b - 6 = 24, what is the first operation you should perform?

Back

Add 6 to both sides.

Front

What is the solution to the equation x + 2/3 = 8/9?

Back

x = 2/9.

Front

What is a common mistake when solving equations?

Back

A common mistake is performing the same operation incorrectly on both sides or not applying the inverse operation.

Front

What should you do if you encounter a negative coefficient in an equation?

Back

You can multiply or divide both sides of the equation by -1 to make the coefficient positive.