Algebra Questions

Chalkboard Activity

Please pick 5 questions from the list below. Solve those 5 problems, showing your work, and submit them to your Individual Forum.

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Problem Set 1 (choose one)
1. Decide if the ordered pair (-3,5) is a solution to 9x + 7y = 8 and 8x-9y = -69
2. Decide if the ordered pair (-3,-1) is a solution to 5x-11y = -4 and 6x-8y = -10
3. Solve by graphing x + y = 6 and x - y = 2
4. Solve by graphing x + y = 1 and y - x = 3
5. Solve by graphing y = x + 5 and y = -x + 3
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Problem Set 2 (choose one)
Solve the system of equations using the addition (elimination) method
1. 3x+2y = 14 3x-2y = 10
2. 2x-7y = 2 3x+y=-20
3. 3x-4y=11 2x+3y = -4
4. 3x-y=22 4x+5y=-21
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Problem Set 3 (choose one)

Solve the system of equations using the substitution method
1. x+y=4 y=3x
2. x+3y = 8 y = 2x-9
3. 2x-y = -5 x+5y = 14
4. y = 2x-8 y = 3x-13
5. 2x+5y = -4 3x-y=11
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Problem Set 4 (choose one)

Complete from Problem Set 5.4, pg 395-399
1. In 1995, Sweden and Norway had more women members of parliament (MPs) than any other democratic countries. Combined, the two countries had 206 women in parliaments. Taking double the number of women MPs in Sweden and adding this to triple the number of women MPs in Norway results in 477.
a. How many women MPs are there in each country?
b. The total MPs in Sweden is 349 and in Norway the number is 165. What percent (to the nearest whole percent) of the total MPs are women for each of the two countries?

2. The table below shows where people over 65 in the US live. A total of 23% of elderly men live either alone or with relatives. The sum of double the percent of men who live alone and triple the percent who live with relatives exceeds the percent of US women over 65 who live with their spouse by 13%. What percent of elderly men live alone and what percent live with relatives?

Males who Live with Spoue 74%
Females who Live with Spouse 40%

Females who Live Alone 42%

Females who Live with Relatives 16%

Males who Live with Nonrelatives 3%
Females who Live with Nonrelatives 2%

3. Cholesterol intake should be limited to 300mg or less each day. One serving of scrambled eggs from McDonalds and one Double Beef Whopper from Burger King exceed this intake by 241 mg. Two servings of scrambled eggs and there Double Beef Whoppers provide 1257 mg of cholesterol. Determine the cholesterol content in each item.

4. Nutritional information for macaroni and broccoli is given in the table. How many servings of each would it take to get exactly 14 grams of protein and 48 grams of carbohydrates?
Macaroni Broccoli
Protein(grams/serving) 3 2
Carbohydrates (g/serving) 16 4

5. When a boat travels upstream (against the current), it takes 2 hours to travel 12 kilometers. The return trip downstream (with the current) takes 1 hour. Find the speed of the boat in still water and the rate of the current.

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Problem Set 5 (choose one)
1. Graph the solution for x+y > 3 ; x-y < 2
2. Graph the solution for 2x+y < 4 ; 2x-y < 6
3. Graph the solution for x > -1 ; y < -2