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1. |
Suppose that you solve a system of equations by using the substitution method. After you substitute an expression for y from the first equation into the second equation, you get the statement 2 = 2. This means that _____. |
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A. |
the solution to the system is (0, 2) |
B. |
the system has infinitely many solutions |
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C. |
the system has no solutions |
D. |
the solution to the system is (2, 2) |
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Hint |
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2. |
Use substitution to solve the system x = 3y and 3x + y = -20. |
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A. |
(-2, -6) |
B. |
all ordered pairs |
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C. |
no solution |
D. |
(-6, -2) |
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Hint |
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3. |
Use substitution to solve the system 2x + 4y = 8 and y = 6 – x. |
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A. |
(8, -2) |
B. |
no solution |
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C. |
all ordered pairs |
D. |
(-2, 8) |
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Hint |
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4. |
Use substitution to solve the system x – 3y = 2 and y = x – . |
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A. |
no solution |
B. |
(3, 2) |
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C. |
all ordered pairs |
D. |
(2, 3) |
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Hint |
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5. |
You are making chocolate chip cookies. Normal butter has 12 g of fat per serving and low-fat margarine has 6 g of fat per serving. You need to use 4.5 servings of butter, and you want the final amount of fat in the cookies to be 45 g. How much of each type of butter do you need to use? |
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A. |
normal butter: 3 servings, low-fat margarine: 1.5 servings |
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B. |
normal butter: 1.5 servings, low-fat margarine: 3 servings |
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C. |
normal butter: 0.5 servings, low-fat margarine: 4 servings |
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D. |
normal butter: 4 servings, low-fat margarine: 0.5 servings |
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Hint |
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