7th Grade IM Unit 4 Lessons 1-4

Front

What is the formula to calculate speed?

Back

Speed = Distance / Time

Front

If a runner covers 0.75 miles in 0.5 hours, how do you calculate their speed in miles per hour?

Back

Speed = 0.75 miles / 0.5 hours = 1.5 miles per hour.

Front

How long will it take a runner to cover 10 miles if they run at 1.5 miles per hour?

Back

Time = Distance / Speed = 10 miles / 1.5 miles per hour = 6.67 hours or 6 2/3 hours.

Front

What does the equation y = mx represent in a linear relationship?

Back

y is the dependent variable, m is the slope, and x is the independent variable.

Front

What is the slope of the line represented by the equation y = \frac{4}{5}x?

Back

The slope (m) is \frac{4}{5}.

Front

How do you divide fractions, such as \frac{1}{3} ÷ \frac{1}{5}?

Back

To divide fractions, multiply by the reciprocal: \frac{1}{3} ÷ \frac{1}{5} = \frac{1}{3} × \frac{5}{1} = \frac{5}{3}.

Front

What is the cost per foot of rope if 6 feet costs $9.00?

Back

Cost per foot = Total cost / Length = $9.00 / 6 feet = $1.50 per foot.

Front

If Kiran wants to buy 50 feet of rope at $1.50 per foot, how much will it cost?

Back

Total cost = Cost per foot × Length = $1.50 × 50 feet = $75.00.

Front

What is the relationship between distance, speed, and time?

Back

Distance = Speed × Time.

Front

How do you convert hours to minutes?

Back

Multiply the number of hours by 60.