MTH011A |Math Foundations II | Unit 5 Answer Key| Concepts in Algebra: Part 1
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Unit 5 Assignment
Award points for answers as shown below. Starter feedback for correct and incorrect answers is in red. Use or adapt the feedback in this Answer Key as you grade each student paper. If you have suggestions for improving this key, send them to .
(1 point)
1. Does this number sentence accurately represent the word sentence? Thirteen times a number m is greater than or equal to three hundred.
Answer: yes
(1 point)
2. Solve for p. p − 13 = 6
Answer: 19
(1 point)
3. Solve for g. g + 12 = 25
Answer: 13
(1 point)
4. In this equation, what is n? n + 6 = 20
variable
standard number
Answer: variable
(1 point)
5. The first toothbrush with nylon bristles was produced in 1938 in the United States. The first electric toothbrush was made by the Squibb Company 23 years later. What year did the first electric toothbrush make its appearance?
Answer: 1961
(1 point)
6. The quotient of a number and 18 is 5. Find the number.
Answer: 90
(1 point)
7. If x = 9 then 12 + x =
Answer: 21
(1 point)
8. If t = 6 then 5t =
Answer: 30
(1 point)
9. If c = 96 then
Answer: 12
(1 point)
10. Write this word sentence as an equation. y less 12 equals 34
Answer: y – 12 = 34
(1 point)
11. Write this word sentence as an equation. The product of 6 and w is 42
Answer: 6w = 42
(1 point)
12. Which of the following represents the product of 40 and n?
40n
Answer: 40n
(1 point)
13. Write an algebraic expression for this word problem. An orange contains 62 calories which is x fewer calories than a nectarine. How many calories does a nectarine have?
Answer: x – 62
(1 point)
14. How can this rational number be expressed in form?
Answer:
(1 point)
15. If x = 4, then
Answer: 8
(1 point)
16. If a = 450, then
Answer: 90
(1 point)
17. Solve for c.
Answer: 1127
(1 point)
18. The Sahara Desert is the largest desert in the world. It covers 3,500,000 square miles. The Australian Desert is the second largest desert. It covers 2,030,000 square miles less than the Sahara. How big is the Australian Desert?
Answer: 1,470,000 square miles
(1 point)
19. Solve for r.
Answer: 21
(1 point)
20. 9x < 45 x < ______
Answer: 5
(1 point)
21. Is this equation satisfied by the given value of the variable? 3c + 7 = 24; c = 6
Answer: no
(1 point)
22. Is this equation satisfied by the given value of the variable? ; b = 8
Answer: yes
(1 point)
23. Solve for x. x + 12 = 26
Answer: 14
(1 point)
24. Solve for x. x − 6(3 + 4) = 33
Answer: 75
(1 point)
25. Solve for x. 7x = 90 + 22
Answer: 16
(1 point)
26. A skateboarder travels 100 meters in 16 seconds. What is his average speed per second?
Answer: 6.25 meters per second
(1 point)
27. Jennifer Kent receives 24 paychecks each year. Each check is for $863.50. If this is the amount of her check before deductions, what is Jennifer's annual salary?
Answer: $20,724
(1 point)
28. Solve for n. 7n - 7 = 42
Answer: 7
(1 point)
29. Abby withdrew $34.00 from her bank account. This left $107.00 in the account. How much money was in the account before she made the withdrawal?
Answer: $141.00
(1 point)
30. An appliance salesman sold 8 dryers last month for a total of $7,200. What was the average selling price?
Answer: $900
(1 point)
31. An actively growing tree absorbs about 26 pounds of carbon dioxide a year. How many years would it take a growing tree to absorb 390 lbs. of carbon dioxide?
Answer: 15 years
(1 point)
32. On Friday, 85 students were absent from school. There were 482 students present. How many students attend the school?
Answer: 567 students
(1 point)
33. A honeybee hive contains 35,000 cells. How many cells are there in 40 hives?
Answer: 1,400,000 cells
(1 point)
34. Rain fell on four days in June. These amounts were recorded: 5 mm, 9 mm, 2 cm, and 2.6 cm. What was the total rainfall for June?
Answer: 60 mm or 6 cm
(1 point)
35. Weather balloons burst at an altitude of 27.5 km. What is the altitude in meters?
Answer: 27,500 m
(1 point)
36. Rory, Casey and Danny weighed rocks they had found. Rory's rock weighed .3 kilograms, Casey's 450 grams, and Danny's .4 kilograms. Whose rock weighed the most?
Answer: Casey’s
(1 point)
37. Kellie is painting one wall in her room. She began with 2 liters of paint and used 750 milliliters on the first coat. If she plans to apply 3 coats of paint, does she have enough paint?
Answer: no
(1 point)
38. Every year, 50 million flea collars are thrown away. How many flea collars are thrown away per day, rounded to the nearest thousand?
Answer: 136986.301 flea collars
(1 point)
39. The average person in the United States uses about 640 pounds of paper each year. How much is this in ounces per year?
Answer: 10,240 ounces
(1 point)
40. What is the best metric unit to measure the distance between New York City and San Diego?
Answer: kilometers
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