Multi Steps Equations

Front

What is a multi-step equation?

Back

An equation that requires more than one step to solve, often involving operations like addition, subtraction, multiplication, and division.

Front

What is the first step to solve the equation 3n - 4 = -2 + 2n?

Back

Subtract 2n from both sides of the equation.

Front

How do you solve the equation 3(3x - 6) = 18?

Back

First, distribute the 3: 9x - 18 = 18, then add 18 to both sides: 9x = 36, and finally divide by 9: x = 4.

Front

Is 7 a solution to the equation 3x + 8 - x = 5x - 4?

Back

No, substituting 7 into the equation does not satisfy it.

Front

What is the first step in solving the equation 2a - 4(a - 5) = 10?

Back

Distribute -4 to a and -5.

Front

What is the first step to solve the equation 11 - 3x = 44?

Back

Subtract 11 from both sides.

Front

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

Back

To manipulate the equation so that the variable is on one side and all other terms are on the opposite side.

Front

What is the purpose of combining like terms in an equation?

Back

To simplify the equation, making it easier to solve.

Front

How do you check if a solution is correct for an equation?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

What is the distributive property?

Back

A property that states a(b + c) = ab + ac, used to eliminate parentheses in equations.