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 of the variable that makes the equation true.

Front

What is the first step in solving the equation f - 8 = 2?

Back

Add 8 to both sides of the equation to isolate the variable f.

Front

What is the solution to the equation f - 8 = 2?

Back

f = 10.

Front

How do you isolate a variable in an equation?

Back

You perform inverse operations to both sides of the equation to get the variable by itself.

Front

What is the solution to the equation e - 12 = 15?

Back

e = 27.

Front

What is the process to solve the equation 4x + 10 = -26?

Back

Subtract 10 from both sides, then divide by 4 to isolate x.

Front

What is the solution to the equation 4x + 10 = -26?

Back

x = -9.

Front

What does it mean to have a negative solution in an equation?

Back

A negative solution indicates that the value of the variable is less than zero.

Front

How do you solve the equation 2 + 14a = -8 + 9a?

Back

Subtract 9a from both sides and then subtract 2 from both sides to isolate a.