multistep equations

Front

What is a multistep equation?

Back

A multistep 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 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

To combine like terms, 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 3x + 2(4x - 4) = 3?

Back

The first step is to apply the distributive property to simplify the equation: 3x + 8x - 8 = 3.

Front

What does it mean to isolate a variable?

Back

Isolating a variable means to manipulate the equation so that the variable is on one side of the equation by itself.

Front

Solve for x: 4 - 2(x - 3) = 24

Back

x = -7.

Front

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

Back

x = 1.

Front

How do you solve the equation 2x - 3 + 4x = 27?

Back

Combine like terms to get 6x - 3 = 27, then isolate x to find x = 5.

Front

What is the solution to the equation 10(h + 1) - 4 = 76?

Back

h = 7.

Front

What is a coefficient in an equation?

Back

A coefficient is a numerical factor that multiplies a variable in an algebraic expression.