Understanding Properties of Equality and Solving Equations

The video tutorial covers various properties of equality used in solving equations, including addition, subtraction, multiplication, and division properties. It also explores reflexive, symmetric, substitution, and transitive properties, providing examples and applications. Special cases like no solution and infinite solutions are discussed, followed by practical applications in word problems.

What property of equality is used when you add the same number to both sides of an equation?

• Addition Property

• Subtraction Property

• Division Property

• Multiplication Property

Which property allows you to state that if a = b, then b = a?

• Symmetric Property

• Transitive Property

• Substitution Property

• Reflexive Property

If x = 2 and y = 3, what is the result of 2x + y using substitution?

• 5

• 6

• 8

• 7

What does the transitive property state if a = b and b = c?

• b = c

• a = b

• a = c

• a = b + c

In a scenario where both sides of an equation are identical, what type of solution is this?

• Infinite solutions

• Zero solution

• Unique solution

• No solution

What does it mean if an equation has no solution?

• There is no number that will satisfy the equation

• Any number will satisfy the equation

• The solution is zero

• The solution is infinite

When solving the equation 5x + 25 = 50, what is the value of x?

• 10

• 15

• 5

• 20

In a rectangle, if the length is five more than twice the width, and the perimeter is 118, what is the width?

• 22

• 24

• 20

• 18

What is the length of the rectangle if the width is 18 and the length is five more than twice the width?

• 43

• 41

• 39

• 36

What keyword in a word problem indicates addition?

• Quotient

• Sum

• Difference

• Product