Solving Equations and Properties of Equality

This video tutorial teaches how to solve linear equations involving multiple operations, including those with fraction and decimal coefficients. It covers the properties of equality, the concept of the multiplicative inverse, and common mistakes in solving equations. The tutorial provides step-by-step examples to demonstrate the correct order of operations and how to check solutions using substitution.

What is the primary goal when solving an equation with multiple operations?

• To ensure the equation has no solution

• To make both sides of the equation different

• To isolate the variable on one side

• To add more variables to the equation

Which property of equality allows you to add the same number to both sides of an equation?

• Additive Property

• Inverse Property

• Substitution Property

• Multiplicative Property

What is the result when you multiply a number by its multiplicative inverse?

• One

• The number itself

• Zero

• A negative number

What is the reciprocal of 17/5?

• 1/5

• 1/17

• 17/5

• 5/17

What is a common mistake when solving multi-step equations with fractional coefficients?

• Adding the reciprocal to both sides

• Multiplying only one side by the reciprocal

• Dividing by the constant

• Ignoring the variable

When solving equations, what should be done first: addition/subtraction or multiplication/division?

• Multiplication/Division

• It doesn't matter

• Addition/Subtraction

• Both at the same time

What is the solution for x in the equation 2/5x + 4 = 10 after correcting the mistake?

• x = 5

• x = 25

• x = 21

• x = 10

In solving the equation 0.44x + 7 = -1, what is the first step?

• Subtract 7 from both sides

• Divide both sides by 0.44

• Multiply both sides by 0.44

• Add 7 to both sides

What is the solution for the equation 3/4x - 3 = -6 after adding 3 to both sides?

• x = -3

• x = 3

• x = 4

• x = -4

What is the result of dividing both sides of an equation by the same non-zero number?

• The equation becomes invalid

• The equation remains balanced

• The equation becomes unbalanced

• The variable disappears