Solve 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 the first step in solving the equation 3x = 27?

Back

Divide both sides by 3 to isolate x.

Front

What is the solution to the equation 3x = 27?

Back

x = 9.

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 7x = 3x + 24?

Back

x = 6.

Front

What is the error in the following steps? 19 - 2k = 3k - 1; +3k; 19 + 1k = -1; -19; k = -20.

Back

Instead of adding 3k, they should subtract 3k.

Front

What operation should you perform to solve x - 62 = 123?

Back

Add 62 to both sides.

Front

What is the solution to the equation x - 62 = 123?

Back

x = 185.

Front

What is a variable in an equation?

Back

A variable is a symbol, often represented by a letter, that stands for an unknown value.