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 purpose of isolating the variable in an equation?

Back

Isolating the variable helps to find its value by getting it alone on one side of the equation.

Front

What does the term 'coefficient' refer to?

Back

A coefficient is a numerical factor that multiplies a variable in an algebraic expression.

Front

What is the first step in solving the equation 9 + 2a = -3 - 4a?

Back

The first step is to combine like terms by adding 4a to both sides, resulting in 9 + 6a = -3.

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

Back

You can check your solution by substituting the value back into the original equation to see if both sides are equal.

Front

What does it mean to 'balance' an equation?

Back

Balancing an equation means performing the same operation on both sides to maintain equality.

Front

What is the solution to the equation 7(p + 9) = -21?

Back

The solution is p = -12.

Front

What operation is being performed on x in the equation 10x = 90?

Back

The operation is multiplication.