chapter 1 equations review

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 + 5 = 20?

Back

Subtract 5 from both sides to isolate the term with the variable: 3x = 15.

Front

How do you isolate the variable x in the equation x - 2 = 10?

Back

Add 2 to both sides to get x = 12.

Front

What is the solution to the equation 2x = x + 3?

Back

The solution is x = 3.

Front

Back

Multiply both sides by -8 to get t = 40.

Front

What is the solution to the equation -3x + 5 = -13?

Back

The solution is x = 6.

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 in an equation.

Front

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

Back

Inverse operations are used to undo operations and isolate the variable in an equation.

Front

What does it mean if an equation has no solution?

Back

An equation has no solution if there are no values for the variable that can satisfy the equation.