Ch.2 assi 2 ( Algebra Domain - Solving Equations and Problem Solving Interpretation - Ms Eman Gamal )Online version
Assignment contains 27 questions , 40 mins only
1
QUESTION 1
If m/n = 7, what is the value of 2n/m?
2
QUESTION 2
If 6/n = 18/(n + 24), what is the value of n/12?
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QUESTION 3
If the quotient of n and 8 is 12, what is the value of 2n - 144?
4
QUESTION 4
In the system of equations below, what is the value of the product of x and y?
2x - 3y = 24
x + 4.5y = -12
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QUESTION 5
Which of the following is NOT a solution of the inequality -7x + 4 ≤ 4x - 5?
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QUESTION 6
Ephraim has two summer jobs. The first, as a delivery person, pays $11.50 per hour. Ephraim's second job, as a math tutor, pays $15.00 per hour. He wants to work no more than 20 hours per week, and he wants to earn at least $270.00 weekly. If x and y represent the hours he works as a delivery person and as a tutor, respectively, which system of inequalities correctly models the situation?
7
QUESTION 7
If 5x + 3y = 16 and 4x + 15y = 26, what is the value of 3x + 6y?
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QUESTION 8
If f(x) = x² + 2 and g(x) = 2x + 3, what is the value of g(3) - f(-2)?
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QUESTION 9
If x - 2 = 0.2x, what is the value of x?
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QUESTION 10
If 4(6 - 2x) - 3(4 + 6x) = -2x + 6, what is the value of x?
11
If 2x is 12 less than 48, what is the value of 2x - 6?
12
If n = 8 in the equation below, what is the value of m?
n + 4m = 7
13
If 7/(2a) = 9/16, what is the value of a?
14
If the system of equations below has infinite solutions, what is the value of b? y = 4x-7
y = 4x-2b
15
At what coordinate pair in the xy-plane will the two equations below intersect?
2x + 3y = 4
5x - y = -7
16
Consider the system of equations below. What is the value of 5x + 3y?
3x+2y=6
7x+4y= -12
17
If f(x) = x² + 2 and g(x) = 2x - 1, what is the value of f(g(-2))?
18
A learning therapist has shown that students can increase reading levels by increasing their required summer reading. She models the increase using the formula y = 1.09x + 0.17, where x represents the current grade reading level and y represents the improvement after the program. Which of the following represents the meaning of 1.09 in the equation?
19
After researching the future cost of a four-year college education, Sergio and Maria began saving for their daughter's tuition. After two years, they had accrued $2,870 for their college fund. After five years, the account balance was $7,150. If Sergio and Maria continue to save at the same rate as they have for the past five years, approximately what will their savings be after 78 months?
20
Ted needs to purchase shirts and belts for the costumes in his school's play. He can buy s shirts and b belts, but the quantity may not exceed 100 items. Which of the following inequalities represents the conditions of Ted's purchases?
21
W joined a gym for which he pays dues of $75 each month plus a daily rate of $10 for each day that he uses the facilities. The function below can be used to determine the cost in dollars per month for being a member of this club, where d is the number of days.
f(d) = 75 + 10d
W spent $155 in January, $195 in February, and $225 in March. If he spent a total of $850 for the months of Jan, Feb, March, and Apr, what was the total number of days he spent at the club for the four months?
22
A small wooden bridge has a maximum carrying capacity of 15,000 pounds. Three cars are currently crossing the bridge, each with a mean weight of 3,250 pounds. What is the greatest weight, in pounds, a fourth car or truck can have and still cross the bridge safely?
23
2 friends are returning home from Vacaville, to Carlsbad,a round trip of 984 miles. They would like to stop over in Bakersfield to go to Museum,which has free admission on Fridays. They also like to eat lunch within walking to the museum, spending $8 each. This side trip would add 54 miles to the trip. They have designated a budget of $90 for the return trip to Carlsbad. Each gallon of gas costs $3.64, and their car gets 26 miles per gallon. Do they have enough money to take this extra stop?
24
Gina runs 28 meters in 4.7 seconds. If she continues to run at this rate, which of the following is the closest to the distance (in meters) she will run in 2.4 minutes?
25
An airline company is calculating its passenger cost for a transatlantic flight. The plane flies approximately 3,000 miles at an average air speed of 500 miles per hour. The cost is given by the following function:
C(x) = 100 + x/10 + 36,000/x
where x is the ground speed. Ground speed is defined as air speed ± wind speed. What is the airline's cost if there is no wind during the flight?
26
A scuba diving instructor charges $75 per lesson plus an additional fee for the use of her boat. The charge for the use of her boat varies directly with the square root of the time the boat is used. If a lesson plus 25 minutes of boat time costs $110, what is the total amount charged for a lesson that uses the boat for 36 minutes?
27
A food stand sells Mexican fare. Tacos cost $2.00 each, and enchiladas cost $4.50 each. On a certain day, revenue from tacos and enchiladas was $198.00, and the number of tacos and enchiladas sold was 54. How many enchiladas were sold?
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