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Quiz 4-Sandage

# Quiz 4-Sandage - Quiz 4 1 Solve the system by the...

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Quiz 4 1. Solve the system by the substitution method. 1 y 5 x 2 5 x y = - - = 2x + 5(x-5) = 1 2x – 5x + 25 = 1 -3x + 25 = 1 - 25 - 25 -3x = -24 -3 -3 x = 8 y = 8 – 5 y = 3 2. Solve the system by the substitution method. 14 y 2 x 2 5 y x + = = - y = x - 5 2y = 2x – 14 2 2 2 y = x – 7 no solution 3. The length of a rectangular room is three times its width. If the perimeter of the room is 104 feet, then what are the length and width? L = 3W 2L + 2W = 104 2(3W) + 2W = 104 6W + 2W = 104 8W = 104 8 8 W = 13 L = 3(13) L = 39 2(39) + 2(13) = 104 78 + 26 = 104

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4. Solve the system by the addition method. 7 y 2 x 3 11 y 4 x 3 = - = - -2(3x – 2y) = 7(-2) 3x – 4y = 11 -6x + 4y = -14 -3x = -3 -3 -3 x = 1 3(1) – 4y = 11 3 – 4y = 11 -3 -3 -8y = 8 -8 -8 y = -1 5. Solve the system by the addition method. 6 y x 5 y 3 1 x 4 1 = - = + 12(1/4x + 1/3y) = 5(12) 3x + 4y = 60 4(x – y) = 6(4) 4x – 4y = 24 3x + 4y = 60 4x – 4y = 24 7x = 84 7 7 x = 12 12 – y = 6 -12 - 12 -1y = -6 -1 -1 y = 6
6. Solve the system by the addition method. 19

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Quiz 4-Sandage - Quiz 4 1 Solve the system by the...

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