Solve a one step equation using addition with decimals

The video tutorial addresses a common student mistake in solving equations. It begins by introducing the problem of isolating a variable in the equation -5.1 + z = 9.2. The instructor explains the importance of understanding the operation affecting the variable and corrects the misconception that z is being added. Instead, z is subtracted from -5.1. The tutorial demonstrates rewriting the equation and using the addition property of equality to solve it, resulting in z = 14.3. The video concludes by confirming the solution and reinforcing the correct approach.

What is the common mistake students make when trying to isolate a variable in an equation?

• They forget to add the variable.

• They use the wrong variable.

• They incorrectly identify the operation on the variable.

• They multiply instead of divide.

In the equation -5.1 + z = 9.2, what is the correct operation being performed on z?

• z is being multiplied by 5.1.

• z is being added to 5.1.

• z is being divided by 5.1.

• z is being subtracted from 5.1.

Why must the negative sign remain in front of 5.1 in the equation?

• Because it makes the equation easier to solve.

• Because it changes the value of z.

• Because it is part of the variable.

• Because it is part of the original equation.

What property is used to solve the equation -5.1 + z = 9.2?

• Addition property of equality

• Subtraction property of equality

• Multiplication property of equality

• Division property of equality

What is the solution to the equation -5.1 + z = 9.2?

• z = 14.3

• z = 4.1

• z = 10.3

• z = 3.1