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, often involving combining like terms, using the distributive property, and isolating the variable.

Front

How do you combine like terms in an equation?

Back

To combine like terms, you add or subtract the coefficients of terms that have the same variable raised to the same power.

Front

What is the first step in solving the equation 9w + 3w = 36?

Back

The first step is to combine like terms, which gives you 12w = 36.

Front

What is the solution to the equation 12w = 36?

Back

The solution is w = 3.

Front

What is a two-step equation?

Back

A two-step equation is an equation that can be solved in two steps, typically involving one operation to isolate the variable and another to solve for it.

Front

How do you solve the equation \( \frac{x}{3} + 10 = 15 \)?

Back

First, subtract 10 from both sides to get \( \frac{x}{3} = 5 \), then multiply both sides by 3 to find \( x = 15 \).

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 opposite side.

Front

In the expression 4x + 7x - 3 + 2x, how many sets of like terms are there?

Back

There are three sets of like terms: 4x, 7x, and 2x.

Front

What is the solution to the equation -9 = p - 4p?

Back

First, combine like terms to get -9 = -3p, then divide both sides by -3 to find p = 3.

Front

How do you solve the equation r + 53 = 110?

Back

Subtract 53 from both sides to isolate r, resulting in r = 57.