Translating Percent Problems into Equations

The video tutorial explains how to translate and solve percent problems using key words. It introduces the conversion of words like 'what', 'is', 'of', and 'percent' into mathematical symbols. Two examples are provided: calculating seventy percent of forty and determining what number forty-five percent of is seventy. The tutorial emphasizes the importance of converting percentages to decimals and ensuring the solution makes sense.

What is the first step in translating a sentence involving percents into a mathematical equation?

• Identify the unknown variable.

• Use a calculator to find the answer.

• Convert all numbers to fractions.

• Write down the sentence as it is.

Which word in a sentence typically translates to the equal sign in mathematics?

• What

• Is

• Percent

• Of

How do you convert the word 'percent' in a sentence to a mathematical operation?

• Add 100

• Subtract 100

• Multiply by 100

• Divide by 100

In the equation 'What is seventy percent of forty?', what does 'what' represent?

• The unknown variable x

• The number 70

• The number 40

• The equal sign

What is the decimal equivalent of seventy percent?

• 0.07

• 0.7

• 70

• 7

After solving 'What is seventy percent of forty?', what should you do next?

• Check if the answer is greater than 40

• Verify if the answer makes sense in the context

• Divide the answer by 70

• Multiply the answer by 100

In the equation 'Forty-five percent of what is seventy?', what does 'what' represent?

• The number 45

• The number 70

• The unknown variable x

• The multiplication sign

What is the first step in solving 'Forty-five percent of what is seventy?'?

• Subtract 45 from 70

• Add 45 and 70

• Multiply 45 by 70

• Convert 45% to a decimal

What is the decimal equivalent of forty-five percent?

• 4.5

• 0.045

• 45

• 0.45

How do you solve for x in the equation '.45x = 70'?

• Add 0.45 to both sides

• Divide both sides by 0.45

• Subtract 0.45 from both sides

• Multiply both sides by 0.45