Shannie's Bike-a-thon Math Problems

The video tutorial teaches how to solve multi-step problems with positive and negative rational numbers using the order of operations. It highlights common mistakes, such as misapplying the order of operations in expressions with only addition and subtraction. The tutorial uses a real-world example of Shannie's bike-a-thon to demonstrate the process of solving such problems, including converting mixed numbers to decimals and rounding for monetary calculations. The lesson concludes with a summary of the key points covered.

What is the first step in solving multi-step problems with rational numbers?

• Start with multiplication and division

• Follow the order of operations

• Add all numbers first

• Subtract all numbers first

What is a common mistake students make when using the order of operations?

• Adding before subtracting

• Starting with subtraction

• Ignoring multiplication

• Using division first

In the expression -8 - 7 + 3, what is the correct first step?

• Add 3 to -8

• Subtract 3 from 7

• Subtract 7 from -8

• Add 7 and 3

What should you do when an expression only has multiplication and division?

• Start from the right

• Start from the left

• Multiply all numbers first

• Divide all numbers first

What was Shannie's aunt's pledge for the bike-a-thon?

• $5 plus $1.50 per mile

• $10 plus $1.75 per mile

• $15 plus $2.00 per mile

• $20 plus $1.25 per mile

How many miles did Shannie bike during the bike-a-thon?

• 10 miles

• 9.5 miles

• 10.25 miles

• 10.5 miles

What is the decimal equivalent of 10 1/4 miles?

• 10.75

• 10.1

• 10.25

• 10.5

What is the total amount Shannie will collect from her aunt?

• $26.94

• $27.94

• $28.94

• $25.94

Why do we round to the hundredths place when dealing with money?

• To simplify calculations

• To match currency format

• To avoid errors

• To make it easier to read

What is the final step in solving Shannie's bike-a-thon problem?

• Multiply the miles by the pledge per mile

• Add the initial pledge to the calculated amount

• Convert miles to kilometers

• Subtract the initial pledge from the total