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 in solving the equation 3x + 2(4x - 4) = 3?

Back

The first step is to distribute the 2 into the parentheses: 3x + 8x - 8 = 3.

Front

How do you isolate the variable in the equation x/3 + 10 = 15?

Back

Subtract 10 from both sides to get x/3 = 5, then multiply both sides by 3 to find x.

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

Solve the equation: 4 + k/2 = -3.

Back

k = -14.

Front

What is the solution to the equation 5x - 4 + 2x = 3?

Back

x = 1.

Front

How do you solve for z in the equation 7z - 5 = 16?

Back

Add 5 to both sides to get 7z = 21, then divide by 7 to find z.

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 each term inside a set of parentheses.

Front

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

Back

Checking your solution ensures that the value you found satisfies the original equation.

Front

What is the inverse operation of addition?

Back

The inverse operation of addition is subtraction.