Math 67 Unit 6 Review study guide
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1. Using the following example, explain in detail how to solve for the variable. 4/7 = 8/n.
2. What are scale drawings used for?
3. Solve for x: 1.5/6 = x/20
4. Are 4:5 and 12:25 proportional?
5. If a 6-foot man casts a 4-½ foot shadow, how tall is a building next to the man that casts a 30-foot shadow?
6. The distance from your home to the local library is 6 ¾ miles. You are making a scale drawing of your neighborhood. How many inches need to be drawn to represent the distance to the library using the scale of 1inch=5 miles?
7. Max and Eliza bought supplies for snacks and reported the following expenses: Gatorade cost $2.00 for 16 ounces. Cran-raspberry juice cost $1.60 for 12-ounces. Express each ratio as a rate.
8. Ms. Earl’s homeroom class has 15 bus riders. The ratio of bus riders to those who walk is 5 to 3.
How many students in Ms. Earl’s homeroom walk to school?
9. Which unit of measure is MOST useful for a car’s weight?
A. ounces B. pounds C. grams D. tons
10. Mandy is able to clean 2 rooms per hour. If she works 6 hours per day, 5 days per week, how
many rooms can she clean in 3 weeks?
A. 40 B. 60 C. 120 D. 180
11. What value of n makes the equation true?
12. In a model, a 10ft. car is represented by a scale model 4 in. long. If the same scale is used,
how long would the scale model be for a 15 foot truck?
13. Convert: 44 qts.= ______gallons
14. There are 28 L of soup in a pot. Marshall serves 400 mL in each bowl. If he fills 16 bowls, how much soup is left in the pot? Write your answer two ways: as a number of liters and as a number of milliliters.
15. Convert: 108 in. = ______ft. = ______yd.
16. In Paris, the sculpture, Long Term Parking, created by Armand Fernandez, contains 60 cars embedded in 3.5 million pounds of concrete. How many tons of concrete is this?