M7 Solving Equations

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables and constants.

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 represented by a letter, that stands for an unknown value in an equation.

Front

What is the purpose of isolating a variable in an equation?

Back

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

Front

What is the first step in solving a linear equation?

Back

The first step is to simplify both sides of the equation if possible, and then isolate the variable.

Front

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 combine like terms in an equation?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

What is the equation for Terry's car repair bill?

Back

50h + 150 = 375, where h is the number of hours of labor.

Front

How do you solve the equation 50h + 150 = 375?

Back

Subtract 150 from both sides to get 50h = 225, then divide by 50 to find h = 4.5.

Front

What is the equation for Sophie's savings plan?

Back

5x + 14 = 64, where x is the number of weeks Sophie saves.