Solving Equations and Expressions

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing 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 first step in solving the equation 4.23 = t + 2.8?

Back

Subtract 2.8 from 4.23.

Front

If Kyle is 42 years old and is 18 years older than Hannah, how do you find Hannah's age?

Back

Subtract 18 from Kyle's age: 42 - 18 = 24.

Front

What does 'twenty less than w' mean in an equation?

Back

It means to subtract 20 from w, represented as w - 20.

Front

What is the solution to the equation m - 23.2 = 54.5?

Back

Add 23.2 to 54.5 to find m: m = 54.5 + 23.2 = 77.7.

Front

How do you isolate a variable in an equation?

Back

You perform inverse operations to both sides of the equation to get the variable by itself.

Front

What is the solution to the equation x - 8 = 19?

Back

Add 8 to both sides: x = 19 + 8 = 27.

Front

What is the purpose of using inverse operations in solving equations?

Back

Inverse operations help to cancel out terms and isolate the variable.