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 7w + 3 = 5w + 9?

Back

The first step is to isolate the variable by moving all terms involving the variable to one side of the equation.

Front

Solve for w: 7w + 3 = 5w + 9

Back

w = 3

Front

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

Back

b = 5

Front

How do you isolate x in the equation 1 + 7x + 6x = 53?

Back

Combine like terms and then subtract 1 from both sides before dividing by the coefficient of x.

Front

Solve for x: 1 + 7x + 6x = 53

Back

x = 4

Front

What is the combined like terms in the equation 45 = 4x + x + 10?

Back

The combined like terms are 5x.

Front

Solve for x: 45 = 4x + x + 10

Back

x = 7

Front

What is a variable in an algebraic equation?

Back

A variable is a symbol, often a letter, that represents an unknown value in an equation.