Solving Basic Algebraic Equations

Front

What is an algebraic equation?

Back

An algebraic equation is a mathematical statement that shows the equality of two expressions, often containing variables.

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 the first step in solving the equation 25 + 75 = _______ + 30?

Back

The first step is to simplify both sides of the equation.

Front

What is the solution to the equation 39 + _______ = 82?

Back

The solution is 43.

Front

How do you find the missing number in the equation 100 - _______ = 45 + 15 + 32?

Back

You first calculate the right side: 45 + 15 + 32 = 92, then solve 100 - x = 92.

Front

What is the difference between addition and subtraction in equations?

Back

Addition combines numbers, while subtraction finds the difference between numbers.

Front

If Sally spent $86 on groceries and $39 on clothing, how do you find out how much more she spent on groceries?

Back

Subtract the amount spent on clothing from the amount spent on groceries: 86 - 39 = 47.

Front

What is the total amount Sally had before shopping if she had $12 left after spending?

Back

Add the amount spent to the amount left: Total = Amount spent + Amount left.

Front

What is the equation to find out how much more Sally spent on groceries than on clothing?

Back

The equation is: Amount on groceries - Amount on clothing = Difference.

Front

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

Back

A variable is a symbol (like x) that represents an unknown number in an equation.