Solving Proportions and Properties of Equality Challenge

The video tutorial covers solving proportions, starting with basic cross multiplication techniques learned in unit zero. It progresses to more complex problems involving expressions and multiple variables. The tutorial also introduces properties of equality, explaining how addition, subtraction, multiplication, and division properties maintain equation balance. The instructor provides step-by-step examples and encourages students to practice independently.

What is the first step in solving a proportion?

• Divide both sides by the same number

• Cross multiply

• Subtract the numbers on both sides

• Add the numbers on both sides

If 3x = 24, what is the value of x?

• 12

• 8

• 6

• 24

When solving a proportion with an expression, what is the second step after cross-multiplying?

• Combine like terms

• Subtract the numbers on both sides

• Distribute

• Add the numbers on both sides

In the equation 2n + 10 = 40, what is the value of n?

• 25

• 20

• 15

• 10

What is the first step when dealing with variables on both sides of a proportion?

• Distribute

• Cross multiply

• Combine like terms

• Subtract the variables

In the equation 2y = 5y - 15, what is the value of y?

• 5

• 3

• 7

• 9

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

• Division Property of Equality

• Subtraction Property of Equality

• Addition Property of Equality

• Multiplication Property of Equality

What is the first step in solving the equation 5y - 1 / 2 = 7?

• Subtract 5y from both sides

• Divide both sides by 5

• Multiply both sides by 2

• Add 1 to both sides

What property is used when you divide both sides of an equation by the same number?

• Addition Property of Equality

• Subtraction Property of Equality

• Multiplication Property of Equality

• Division Property of Equality

In the equation 5y - 1 = 14, what is the value of y?

• 2

• 3

• 4

• 5