Flashcard Review: Translating 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 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 distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform operations to get the variable on one side of the equation and all other terms on the opposite side.

Front

What is the first step in solving the equation 3(n + 3) = 20?

Back

The first step is to distribute the 3, resulting in 3n + 9 = 20.

Front

What does 'increased by' mean in an equation?

Back

'Increased by' indicates addition; for example, 'a number increased by 5' means the number plus 5.

Front

What does 'decreased by' mean in an equation?

Back

'Decreased by' indicates subtraction; for example, 'a number decreased by 3' means the number minus 3.

Front

How do you represent 'twice a number' in an equation?

Back

'Twice a number' can be represented as 2n, where n is the number.

Front

What is the solution to the equation 2n + 7 = 23?

Back

The solution is n = 8.