Solving Multi-step Equations

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 is the first step to solve the equation 2x + 1 = 12?

Back

Subtract 1 from both sides to isolate the term with the variable: 2x = 11.

Front

How do you check if x = 1 is a solution for the equation 5x - 2 = 3?

Back

Substitute x = 1 into the equation: 5(1) - 2 = 3, which simplifies to 3 = 3, confirming it is a solution.

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

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 each term inside a set of parentheses.

Front

Solve the equation: 2x - 1 = ¾x + 9

Back

x = 8.

Front

What is the solution to the equation 10 = 4x - 2?

Back

x = 3.

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.

Front

What does it mean if an equation has infinitely many solutions?

Back

An equation has infinitely many solutions if any value for the variable satisfies the equation.

Front

Which operation should be performed first in the equation 5 - 2(x - 7) = x + 1 + 3x?

Back

You should not perform 5 - 2 first; instead, distribute -2 to (x - 7) first.