One Step 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 a one-step equation?

Back

The first step is to isolate the variable on one side of the equation by performing the inverse operation.

Front

What is the inverse operation of addition?

Back

The inverse operation of addition is subtraction.

Front

What is the inverse operation of subtraction?

Back

The inverse operation of subtraction is addition.

Front

What is the division property of equality?

Back

The division property of equality states that if you divide both sides of an equation by the same non-zero number, the two sides remain equal.

Front

How do you solve the equation 16 + x = 25?

Back

Subtract 16 from both sides to isolate x: x = 25 - 16, so x = 9.

Front

How do you solve the equation x - 14.50 = 2.50?

Back

Add 14.50 to both sides to isolate x: x = 2.50 + 14.50, so x = 17.

Front

What is the purpose of using properties of equality in solving equations?

Back

Properties of equality help maintain the balance of the equation while isolating the variable.

Front

How do you interpret the equation b + 5 = 30 in a word problem?

Back

It represents a situation where a total of 30 is achieved by adding 5 to an unknown quantity b.