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 11x - 8 = 3?

Back

Add 8 to both sides to isolate the term with the variable: 11x = 3 + 8.

Front

How do you isolate the variable in the equation 11x = 11?

Back

Divide both sides by 11 to solve for x: x = 1.

Front

What is the solution to the equation 6x + 5x = -11?

Back

Combine like terms: 11x = -11, then divide by 11 to get x = -1.

Front

How do you solve the equation c/2 = -14?

Back

Multiply both sides by 2 to isolate c: c = -28.

Front

What is the solution to the equation 60 = -5/6 x?

Back

Multiply both sides by -6/5 to isolate x: x = -72.

Front

What does it mean to combine like terms in an equation?

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, allowing you to multiply a single term by two or more terms inside a parenthesis.

Front

How do you solve the equation 17 = 3(x - 5) + 5?

Back

First, distribute 3: 17 = 3x - 15 + 5. Then combine like terms and isolate x to find x = 9.

Front

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

Back

Checking your solution ensures that the value you found satisfies the original equation, confirming its correctness.