2B.2 Linear applications

Karen’s IPod contains 12 fewer playlists than Clarann’s iPod. The total number of playlists on both iPods is 58. Identify the appropriate expressions to represent Karen and Clarann's playlists.

• Karen = x - 12

• Clarann = x

• Karen = x

• Clarann = x - 12

Karen’s IPod contains 12 fewer playlists than Clarann’s iPod. The total number of playlists on both iPods is 58. Find the number of playlists on each person’s iPod. Identify the correct equation for this situation.

• 12 - x + x = 58

• x - 12 = 58

• x - 12 + x = 58

• x + x + 12 = 58

Karen’s IPod contains 12 fewer playlists than Clarann’s iPod. The total number of playlists on both iPods is 58. Find the number of playlists on each person’s iPod.

• Karen has 23 playlists

• Clarann has 35 playlists

• Karen has 35 playlists

• Clarann has 23 playlists

For a recent year, the number of men in the U.S. Senate totaled 4 more than five time the number of women. Identify the correct expressions for men and women for this problem.

• Men = 5x + 4

• Women = x

• Women = 5x + 4

• Men = x

For a recent year, the number of men in the U.S. Senate totaled 4 more than five time the number of women. Find the number of men and the number of women in the Senate given that the Senate has 100 members. Identify the correct equation to solve this situation.

• 5x + 4 = 100

• 4 + 5x + 100

• 5x + 4 = x +100

• 5x + 4 + x = 100

For a recent year, the number of men in the U.S. Senate totaled 4 more than five time the number of women. Find the number of men and the number of women in the Senate given that the Senate has 100 members.

• 84 men

• 16 women

• 84 women

• 16 men

The longest river in Africa is the Nile. It is 2455 km longer than the Congo River, also in Africa. The sum of the lengths of these rivers is 11,195 km. Identify the expression for each river in this situation.

• Nile = x

• Congo = x

• Nile = x + 2455

• Congo = x + 2455

The longest river in Africa is the Nile. It is 2455 km longer than the Congo River, also in Africa. The sum of the lengths of these rivers is 11,195 km. What is the length of each river? Identify the equation you would use to solve this situation.

• x - 2455 = 11195

• x + x + 2455 = 11195

• x + 2455 = x + 11195

• x + x - 2455 = 11195

The longest river in Africa is the Nile. It is 2455 km longer than the Congo River, also in Africa. The sum of the lengths of these rivers is 11,195 km. What is the length of each river?

• Nile is 6825 km

• Nile is 4370 km

• Congo is 6825 km

• Congo is 4370 km

Mt. Everest, the highest mountain in the world, is 2654 m higher than Mt. McKinley. The highest mountain in the United States. Identify the expressions to help solve this situation.

• Mt. Everest = x

• Mt. McKinley = x

• Mt. Everest = x + 2654

• Mt. McKinley = x + 2654