Understanding One-Step Equations

Front

What is a coefficient in an equation?

Back

A coefficient is a numerical factor that multiplies a variable in an equation. For example, in -5y, -5 is the coefficient.

Front

What is the ultimate goal when solving an equation?

Back

The ultimate goal is to isolate the variable by getting it by itself on one side of the equation.

Front

How do you isolate the variable in the equation x - 62 = 123?

Back

You should add 62 to each side of the equation.

Front

What is the inverse operation of subtraction?

Back

Addition is the inverse operation of subtraction.

Front

What is the first step to solve the equation 3x = -9?

Back

You should divide both sides by 3.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value of the variable that makes the equation true.

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions.

Front

What is the purpose of using inverse operations in solving equations?

Back

Inverse operations are used to undo operations and isolate the variable.

Front

If you have the equation 5x = 20, what is the solution for x?

Back

x = 4, because you divide both sides by 5.

Front

What is the difference between an expression and an equation?

Back

An expression is a combination of numbers and variables without an equality sign, while an equation includes an equality sign.