Multi-step Equation Flashcard

Front

What is a multi-step equation?

Back

A multi-step equation is an equation that requires more than one step to solve. It often involves combining like terms, using the distributive property, and isolating the variable.

Front

What does it mean to isolate a variable in an equation?

Back

Isolating a variable means rearranging the equation so that the variable is on one side and all other terms are on the other side.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

How do you combine like terms?

Back

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

Front

What is the solution to the equation 4(-8x + 5) = -32x - 26?

Back

No solution.

Front

What is the solution to the equation 10x + 9 = 4x - 9?

Back

x = -3.

Front

What is the solution to the equation 8 = x + 1?

Back

x = 7.

Front

What is the solution to the equation f - 4 = 6f + 26?

Back

f = -6.

Front

What is the solution to the equation 4p = 16?

Back

p = 4.

Front

What does it mean if an equation has no solution?

Back

An equation has no solution if there are no values for the variable that make the equation true.