Solving equations with one variable

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 a variable in mathematics?

Back

A variable is a symbol, often a letter, that represents an unknown value in an equation or expression.

Front

What is the goal when solving an equation with one variable?

Back

The goal is to isolate the variable on one side of the equation to find its value.

Front

What is the first step in solving the equation 2 + 14a = -8 + 9a?

Back

The first step is to get all terms involving 'a' on one side and constant terms on the other side.

Front

How do you combine like terms in an equation?

Back

You combine like terms by adding or subtracting the coefficients of the same variable.

Front

What operation would you use to solve the equation 9x = 153?

Back

You would divide both sides of the equation by 9.

Front

What does the equation 10x = 90 tell us about the relationship between 10 and x?

Back

It tells us that 10 is multiplied by x to equal 90.

Front

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

Back

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

Front

What is the solution to the equation 7(1 - y) = -3(y - 2)?

Back

The solution is y = 1/4.