Equations Flashcard Review

Front

What is an equivalent expression?

Back

An equivalent expression is an expression that has the same value as another expression for all values of the variable(s) involved.

Front

How do you simplify the expression 2x + 1 + 7x?

Back

Combine like terms: 2x + 7x = 9x, so the simplified expression is 9x + 1.

Front

What does it mean to solve for a variable?

Back

To solve for a variable means to find the value of that variable that makes the equation true.

Front

What is the first step in solving the equation 3(3x - 6) = 18?

Back

Distribute the 3: 9x - 18 = 18.

Front

What is the solution to the equation 3(3x - 6) = 18?

Back

x = 4.

Front

What does it mean when an equation has no solution?

Back

It means that there is no value for the variable that can make the equation true.

Front

What is the process of combining like terms?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power.

Front

How do you isolate a variable in an equation?

Back

You perform operations to both sides of the equation to get the variable by itself on one side.

Front

What is the solution to the equation -14 + 6b + 7 - 2b = 1 + 5b?

Back

b = -8.

Front

What is the value of v in the equation v + 3 = 18?

Back

v = 15.