Solving Algebraic Equations

Front

What is an algebraic equation?

Back

An algebraic equation is a mathematical statement that shows the equality of two expressions, typically involving variables and constants.

Front

What does it mean to solve an algebraic equation?

Back

To solve an algebraic 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 115 = 12x - 5?

Back

The first step is to isolate the term with the variable by adding 5 to both sides, resulting in 120 = 12x.

Front

How do you isolate the variable x in the equation 12x = 120?

Back

Divide both sides of the equation by 12 to get x = 10.

Front

What is the solution to the equation 6b = 30?

Back

To solve for b, divide both sides by 6, resulting in b = 5.

Front

What is the process to solve the equation -1 + a/3 = 4?

Back

Add 1 to both sides to get a/3 = 5, then multiply both sides by 3 to find a = 15.

Front

How do you solve the equation 20 = 8x - 12?

Back

Add 12 to both sides to get 32 = 8x, then divide by 8 to find x = 4.

Front

What is a variable in an algebraic equation?

Back

A variable is a symbol, often represented by letters like x or y, that stands for an unknown value.

Front

What is a constant in an algebraic equation?

Back

A constant is a fixed value that does not change, such as numbers like 5, 12, or -3.

Front

What does it mean to 'isolate' a variable?

Back

To isolate a variable means to manipulate the equation so that the variable is on one side by itself.