Solving Multi-step Linear Equations

Front

What is a multi-step linear equation?

Back

A multi-step linear equation is an equation that requires more than one step to isolate the variable and solve for its value.

Front

What is the first step in solving the equation -(n - 8) = -2?

Back

Distribute the negative sign: n - 8 = 2.

Front

What is the goal of solving multi-step equations?

Back

The goal is to find the value of the variable.

Front

How do you solve the equation 38 + 7k = 8(k + 4)?

Back

First, distribute 8: 38 + 7k = 8k + 32. Then, isolate k: 7k - 8k = 32 - 38, resulting in k = 6.

Front

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

Back

To isolate a variable means 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 solution to the equation 2x + 3(5x - 7) = 47?

Back

x = 4.

Front

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

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power.

Front

How do you solve the equation 8v - 4(v + 8) = 8?

Back

First, distribute -4: 8v - 4v - 32 = 8. Then combine like terms: 4v - 32 = 8, resulting in v = 10.

Front

What is a coefficient in a linear equation?

Back

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

Front

What is a constant in a linear equation?

Back

A constant is a fixed value that does not change, represented by a number without a variable.