Solving Linear Equations and Inequalities

The video tutorial explains the concept of direct variation, where Y varies directly with X, represented by the equation Y = kX. It demonstrates how to solve for missing terms Y and X using this relationship. The tutorial covers solving equations without finding the constant and using cross multiplication as an alternative method. The focus is on understanding the proportional relationship and applying inverse operations to solve equations.

What is the first step in finding a missing term when y varies directly with x?

• Find the value of x

• Set up the equation y = kx

• Multiply y by x

• Identify the constant k

In the equation y = kx, what does k represent?

• The sum of x and y

• The product of x and y

• The variable

• The constant of variation

How can you express the relationship between y and x if y varies directly with x?

• y = k + x

• y = x/k

• y = kx

• y = x + k

If y = 21 when x = 3, what is the constant k?

• 7

• 63

• 3

• 21

What is the value of y when x = 6, given y = 25 and x = 15?

• 6

• 15

• 10

• 25

If y = 25 and x = 15, what is the constant k?

• 1.67

• 0.6

• 1.5

• 2.5

What is the value of y when x = 6, given y = 25 and x = 15?

• 6

• 25

• 15

• 10

What is the first step in solving for y in the equation y/9 = 7/3?

• Divide both sides by 9

• Multiply both sides by 9

• Subtract 9 from both sides

• Add 9 to both sides

What is the value of y in the equation y/9 = 7/3?

• 9

• 7

• 3

• 21

If y = 25 and x = 15, what is the constant k?

• 1.67

• 0.6

• 1.5

• 2.5