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 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 3y - 10 = 4?

Back

Add 10 to both sides of the equation.

Front

What is the solution to the equation 4p = 16?

Back

p = 4.

Front

What is the first step in solving the equation 10 - 3y = 4?

Back

Subtract 10 from both sides of the equation.

Front

What is the solution to the equation 4x - 6 = 30?

Back

x = 9.

Front

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

Back

x = -9.

Front

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

Back

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

Front

What does it mean to add or subtract the same number from both sides of an equation?

Back

It maintains the equality of the equation, allowing us to simplify or isolate the variable.

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable in an algebraic expression.