solve simple equations

Front

What is the first step to solve the equation 5x - 10 = x + 6?

Back

Isolate the variable by moving all terms involving x to one side and constant terms to the other side.

Front

How do you isolate the variable in the equation w + 12 = 20?

Back

Subtract 12 from both sides to get w = 20 - 12.

Front

What is the solution to the equation 4 = 2(x + 3)?

Back

First, divide both sides by 2 to get 2 = x + 3, then subtract 3 from both sides to find x = -1.

Front

In the expression y + 21, what is the variable and what is the constant?

Back

The variable is y and the constant is 21.

Front

What does it mean to solve for x in an equation?

Back

It means to find the value of x that makes the equation true.

Front

What is the solution to the equation 5x - 10 = x + 6?

Back

x = 4.

Front

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

Back

Substitute the value back into the original equation to verify both sides are equal.

Front

What is the importance of balancing equations when solving for a variable?

Back

Balancing ensures that both sides of the equation remain equal after performing operations.

Front

How do you handle equations with variables on both sides?

Back

Move all variable terms to one side and constant terms to the other side.

Front

What is a constant in an algebraic expression?

Back

A constant is a fixed value that does not change, such as 21 in the expression y + 21.