Solving Equations

Front

What is the first step to solve the equation 6x + 10 = 2(3x + 4)?

Back

Distribute the 2 on the right side to get 6x + 10 = 6x + 8.

Front

What does it mean when an equation has no solutions?

Back

It means that there is no value of the variable that can satisfy the equation.

Front

How do you combine like terms in the equation 1 + 4n - 6n = 1 - 8n?

Back

Combine 4n and -6n to get -2n, resulting in 1 - 2n = 1 - 8n.

Front

What is the solution to the equation -11 + 3(b + 5) = 7?

Back

First, simplify to get 3b + 15 - 11 = 7, then solve for b to find b = 1.

Front

How do you isolate the variable d in the equation d / t = r?

Back

Multiply both sides by t to get d = rt.

Front

What is the purpose of distributing in an equation?

Back

To eliminate parentheses and simplify the equation for easier solving.

Front

What are like terms in an equation?

Back

Terms that have the same variable raised to the same power.

Front

What is the process of solving an equation?

Back

It involves isolating the variable on one side of the equation to find its value.

Front

What does it mean to simplify an equation?

Back

To reduce the equation to its simplest form by combining like terms and eliminating unnecessary elements.

Front

What is the significance of checking your solution in an equation?

Back

To verify that the solution satisfies the original equation.