On a sheet of paper, determine each correct answer. Work with a partner to explain why each of the other three answer choices is incorrect. Write at least once complete sentence for each incorrect answer choice. After you have determined the correct answer and explained the other three incorrect answer, then input your answer choices into Socrative. If you and your partner are sharing a wifi device, then one of you login through the browser and the other login to the app. That way both of you can receive receive a grade.
1. Kimberly wants to complete at least 2/3 of her algebra problems by 8 P.M. If she has x algebra problems to complete, which inequality can Kimberly use to determine y, the number of algebra problems she wants to complete by 8:00 P.M.? A y ≥ x – 2/3
B
y < x + 2/3
C
y < 2/3x
D
y ≥ 2/3x
2. Mr. Ross is purchasing a table and chairs for $1350, including tax and interest. He will pay for the furniture with monthly payments of $75. If Mr. Ross has made m payments, which equation best describes r, the amount of the remaining balance?
F
r = (1350 â&#x20AC;&#x201C; 75)m
G
r = 75m + 1350
H
r = 1350 â&#x20AC;&#x201C; 75m
J
r = 75m - 1350
3. The temperature in degrees Celsius, C, is 5/9 of the difference between the temperature in degrees Fahrenheit, F, and the constant 32. Which equation best represents this relationship?
4. The Alejo family budgeted $2000 for their vacation. Their budget consisted of $800 for travel costs and $75 per day for other expenses. Which inequality represents the number of days, x, the family could have stayed on vacation?
A
800 + 75x ≤ 2000
B
800x + 75 ≥ 2000
C
800x – 75 ≥ 2000
D
800 – 75x ≤ 2000
5. Ms. Adams bought a refrigerator that cost $1200, including tax. The cost of electricity to run this refrigerator is estimated at $78 per year. Which equation best represents c, the total cost of the refrigerator including electricity over n years of operation?
A B C D
c = 1200(78n) c = 1200(n + 78) c = 1200 â&#x20AC;&#x201C; 78n c = 1200 + 78n
6. A candy company sells chocolate-covered cherries in a box. The empty box weighs 4.2 ounces. Each piece of candy weighs at least 1.8 ounces. Which inequality best describes the total weight in ounces, w, of a box of chocolate-covered cherries in terms of c, the number of candies in the box? A w ≥ 1.8c + 4.2 B
w ≥ 1.8c – 4.2
C
w ≥ 4.2c + 1.8
D
w ≥ 4.2c – 1.8
7. Vicki works as a salesclerk in a clothing store. She earns $10 per hour plus a commission of 6% of her total sales. Which equation represents e, her total earnings when she works h hours and sells a total of d dollars in merchandise?
A
e = 10h + 0.06d
B
e = 10h + 0.6d
C
e = 6h + 10d
D
e = 0.06h + 10d
8. The initial pressure inside a closed container is 200 pounds per square inch (psi). As the temperature inside the container increases, the pressure increases. If the pressure increases 7.5 psi for each degree Fahrenheit of increased temperature, which equation best represents p, the pressure inside the container after the temperature has increased t degrees? F p = 7.5t G
p = 200 + 7.5t
H
p = 200t + 7.5
J
p = 200t + 7.5t
9. Mitesh is m years old, and his brother Hiren is h years old. Which statement best describes the inequality m â&#x2030;Ľ h + 3? A
Mitesh is at least 3 times as old as Hiren.
B
Mitesh is at least 3 years older than Hiren.
C
Hiren is more than 3 years older than Mitesh.
D
Hiren is more than 3 times as old as Mitesh.
10. The runners on a cross-country team need to buy bottles of water for their next meet. Each runner will buy at least four bottles, and the coach will buy six extra bottles. Which inequality best describes the total number of bottles, b, the runners and coach will buy in terms of n, the number of runners on the team? A
b < 4n + 6
B
b â&#x2030;Ľ 6n + 4
C
b â&#x2030;Ľ 4n + 6
D
b < 6n + 4
11. The profit earned on the sale of tool sets can be represented as the product of the number of tool sets sold and the difference between the selling price and the cost of making each set. The selling price of each tool set is $19.95, and the cost of making each set is $4.37. Which equation represents p, the profit, in terms of s, the number of tool sets sold?
A
p = s(19.95 â&#x20AC;&#x201C; 4.37)
B
p = s(19.95 + 4.37)
C
p = 19.95 + 4.37s
D
p = 19.95s â&#x20AC;&#x201C; 4.37
12. The wheels on Leeâ&#x20AC;&#x2122;s bike each have a circumference of approximately 7 feet. Which of the following equations could be used to determine y, the total distance traveled in feet for each wheel as a function of x, the number of wheel revolutions?