1. Convert the measurements. 50 miles to kilometers
Warm Up 1.4
Convert the measurements.
50 miles to kilometers
18 cubic centimeters to liters
Convert the rate.
3000 meters per second to miles per hour
Classify the number 22/7. Explain.
Show an example of the commutative property.

2. Unit 1: Equations and Inequalities
Target 1.4
Rearrange equations (1.4) And Use formulas and find patterns to solve verbal models (1.5)

3. Solve the linear equation for y.
Solve the formula for the perimeter of a rectangle for w.
Use your rearranged formula to find the width of a rectangle with a perimeter of 41 cm and a length of 5 cm.

4. Solve the nonlinear equation for y.

5. Let’s take a look at a few strategies for solving story problems.
A train travels 457 miles in 6.5 hours. Find the speed of the train.
This time, using a simple formula is enough to solve the problem.

6. This table shows the height h (in feet) of a parachuter t minutes after opening the parachute.
Time 1 2 3 4
Height
2000
1750
1500
1250
1000
Find the height of the parachuter after 7 minutes by looking for a pattern.
Write an equation that represents the parachuter’s height after t minutes.

7. You are hanging four championship banners on a wall in the gym
You are hanging four championship banners on a wall in the gym. The banners are 8 feet wide. The wall is 62 feet long. There should be an equal amount of space between the ends of the wall and the banners and between each pair of banners. How far apart should the banners be placed?
This time, let’s draw a diagram to help us visualize the problem.

8. Your monthly phone plan costs $59. 99 for unlimited calls and data
Your monthly phone plan costs $59.99 for unlimited calls and data. Additionally, you pay $0.15 per text sent. If your total bill was $ last month, how many texts did you send?

9. Your new car used 16 gallons of gas and traveled a total of 460 miles
Your new car used 16 gallons of gas and traveled a total of 460 miles. The car’s fuel efficiency is 30 miles per gallon (mpg) on the highway and 25 mpg in the city. How many gallons of gas were used on the highway?
Highway miles
City miles

10. Here’s something new! Work problems!
You can wash one car in 8 minutes and your friend can wash one car in 6 minutes. How long will it take to wash 7 cars if you and your friend work together?
Nope, it’s not 49 minutes.
The trick to solving a Work Problem is to set up rates.