Writing and 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

What does it mean to isolate a variable in an equation?

Back

Isolating a variable means rearranging the equation so that the variable is on one side and all other terms are on the other side.

Front

What is the first step in solving the equation 4a - 7 = 33?

Back

Add 7 to both sides of the equation to start isolating the variable.

Front

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

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

What does the equation p - 6 = 18 represent in a word problem?

Back

It represents a situation where 6 items are taken away from a total, leaving 18 items.

Front

What is the solution to the equation 38 = 8x + 6?

Back

The solution is x = 4.

Front

What does the equation t + 9 = 25 represent?

Back

It represents a situation where 9 items are already accounted for, and you need to find out how many more are needed to reach a total of 25.

Front

What is the purpose of using variables in equations?

Back

Variables are used to represent unknown values that we want to solve for in mathematical problems.

Front

What is the solution to the equation 33 = 4a - 7?

Back

The solution is a = 10.

Front

What is a common mistake when solving equations?

Back

A common mistake is forgetting to perform the same operation on both sides of the equation.