Solving Proportions and Basic Operations

This lesson teaches how to solve proportions using cross products. It begins with an introduction to proportions and the concept of cross products. The lesson then explains how to set up and solve equations using cross products, including isolating the variable to find the solution. The lesson concludes with a summary of the key steps involved in solving proportions with cross products.

What is the main topic of this lesson?

• Solving equations using substitution

• Solving proportions using cross products

• Graphing linear equations

• Understanding quadratic functions

What is a proportion?

• A product of two numbers

• A sum of two numbers

• Two ratios set to be equal

• A single fraction

Why did the teacher decide to use cross products?

• Because equivalent fractions were not possible

• Because it was a requirement

• Because it was the only method known

• Because 7 and 17 are easy to work with

What does the teacher check before deciding to use cross products?

• If the numbers are prime

• If equivalent fractions can be made

• If the numbers are even

• If the numbers are odd

What is the first step in setting up cross products?

• Dividing the two ratios

• Subtracting the two ratios

• Adding the two ratios

• Setting two products equal to each other

What is the first step in solving a proportion using cross products?

• Set the cross products equal

• Subtract the two ratios

• Add the two ratios

• Divide the two ratios

What equation is formed when setting up the cross products?

• 7 - N = 13 - 17

• 7 + N = 13 + 17

• 7 / N = 13 / 17

• 7 * N = 13 * 17

What is the result of 13 times 17?

• 241

• 231

• 221

• 210

How do you isolate the variable 'n' in the equation?

• By multiplying both sides by 7

• By subtracting 7 from both sides

• By adding 7 to both sides

• By dividing both sides by 7

What is the approximate value of 'n' after solving the equation?

• 33.57

• 32.57

• 31.57

• 30.57