Finding a missing number in a proportion

If 15:9 = 5:x, what is the value of x?

• 1

• 2

• 3

• 4

What is the significance of equivalent ratios?

• They are ratios that express the same relationship between numbers, and they are fundamental in solving proportions.

• They are ratios that can only be used in financial calculations.

• They are ratios that are always greater than one.

• They are ratios that cannot be simplified.

How can you check if two ratios form a proportion?

• By adding the two ratios together and checking if the sum is equal to 1.

• By cross-multiplying and seeing if the products are equal.

• By finding the average of the two ratios and checking if it is equal to the first ratio.

• By subtracting the smaller ratio from the larger ratio and checking if the result is zero.

What is the relationship between the means and extremes in a proportion?

• In a proportion a/b = c/d, a and d are the means, and b and c are the extremes.

• In a proportion a/b = c/d, a and d are the extremes, and b and c are the means. The product of the means equals the product of the extremes.

• The means are always greater than the extremes in any proportion.

• The extremes are always equal to each other in a proportion.

If 4:x = 2:8, what is the value of x?

• 8

• 12

• 16

• 20

What is an example of a real-world application of proportions?

• Proportions can be used in recipes to adjust ingredient amounts based on serving sizes.

• Proportions are used to calculate the area of a circle.

• Proportions help in determining the speed of a moving object.

• Proportions are only applicable in theoretical mathematics.

What is the importance of understanding proportions in mathematics?

• It is only useful in academic settings.

• It helps in solving problems in various fields, including science, finance, and everyday life.

• It is not important at all.

• It is only relevant for geometry.

What is the formula for finding a missing term in a proportion?

• x = (b*c)/a

• x = (a*b)/c

• x = (c*a)/b

• x = (b/a)*c

How can proportions be represented graphically?

• As curved lines that do not pass through the origin

• As straight lines that pass through the origin, showing the relationship between two variables

• As points scattered randomly on the graph

• As vertical lines indicating constant values

What is cross-multiplication?

• A method used to solve proportions by multiplying the numerator of one ratio by the denominator of the other ratio.

• A technique for adding fractions by finding a common denominator.

• A way to simplify algebraic expressions by factoring.

• A process for converting decimals to percentages.