Solving Equations

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 the first step in solving the equation 3c + 5 = 23?

Back

Subtract 5 from both sides to isolate the term with the variable: 3c = 18.

Front

How do you isolate a variable in an equation?

Back

You can isolate a variable by performing inverse operations, such as addition, subtraction, multiplication, or division.

Front

What is the solution to the equation x - 8 = -5?

Back

x = 3.

Front

What is the solution to the equation 7(2x - 4) = 42?

Back

x = 5.

Front

How do you check if your solution to an equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

What is the solution to the equation x/6 = 5?

Back

x = 30.

Front

What does it mean to have a variable in an equation?

Back

A variable represents an unknown value that can change or vary.

Front

What is the purpose of using parentheses in equations?

Back

Parentheses indicate which operations should be performed first according to the order of operations.