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, often involving operations such as addition, subtraction, multiplication, and division.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the first step in solving the equation 38 + 7k = 8(k + 4)?

Back

Distribute the 8 on the right side: 38 + 7k = 8k + 32.

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

Solve for k: 38 + 7k = 8(k + 4). What is k?

Back

k = 6.

Front

What is the solution to the equation x/3 + 10 = 15?

Back

x = 15.

Front

How do you solve the equation 5x - 4 + 2x = 3?

Back

Combine like terms to get 7x - 4 = 3, then solve for x to find x = 1.

Front

What is the solution to the equation 5(x - 3) + 2x = 27?

Back

x = 6.

Front

What does it mean if an equation has no solution?

Back

It means that there are no values for the variable that will satisfy the equation.

Front

Solve the equation 4(-8x + 5) = -32x - 26. What is the solution?

Back

No solution.