SMS 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 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 first step in solving the equation ½ (2x + 6) = 3x + 13?

Back

The first step is to distribute the ½ to both terms inside the parentheses: x + 3 = 3x + 13.

Front

Solve the equation: ½ (2x + 6) = 3x + 13.

Back

x = -5.

Front

What is the solution to the equation 4x + 10 = -26?

Back

x = -9.

Front

How do you solve the equation 4x - 6 = 30?

Back

Add 6 to both sides to get 4x = 36, then divide by 4 to find x = 9.

Front

What does it mean to check your solution in an equation?

Back

Checking your solution means substituting the value back into the original equation to verify that both sides are equal.

Front

Solve the equation: 4(a + 3) = -32.

Back

a = -11.