Solving Proportions and Equations

The video tutorial explains how to find missing values in proportions using the cross multiplication method. It covers solving equations with fractions and verifies solutions by substitution. Additionally, it demonstrates using the distributive property to solve equations.

What method is used to find the missing value in a proportion?

• Division

• Subtraction

• Addition

• Cross multiplication

In the proportion 2/5 = 4/X, what is the first step in solving for X?

• Add 2 and 5

• Cross multiply 2 and X

• Subtract 4 from X

• Divide 5 by 2

After cross multiplying in the equation 2/5 = 4/X, what equation do you get?

• 4X = 5

• X = 10

• 5X = 8

• 2X = 20

How can you verify the solution X = 10 for the proportion 2/5 = 4/X?

• By adding 10 to both sides

• By substituting X with 10 and checking equality

• By subtracting 10 from both sides

• By dividing both sides by 10

In the proportion 1/2 over 6 = 3/4 over X, what is the first step in solving for X?

• Add 3/4 to X

• Divide 6 by 1/2

• Multiply 1/2 by 6

• Cross multiply 1/2 and X

What is the result of 6 times 3/4 in the equation 1/2X = 6 * 3/4?

• 18/4

• 15/4

• 9/2

• 12/4

How do you simplify the equation 1/2X = 18/4 to solve for X?

• Multiply both sides by 4

• Divide both sides by 2

• Multiply both sides by the reciprocal of 1/2

• Add 2 to both sides

What is the simplified value of X in the equation 1/2X = 18/4?

• X = 18

• X = 36

• X = 9

• X = 4.5

In the equation 4(2x - 3) = 2(x + 3), what is the first step?

• Use the distributive property

• Subtract 2x from both sides

• Add 3 to both sides

• Divide both sides by 4

What is the result of applying the distributive property to 4(2x - 3)?

• 8x - 12

• 8x + 12

• 4x - 6

• 4x + 6