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1. |
Use substitution to solve the system of equations given below.
8x - 4y = 16
2x - y = 4 |
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A. |
(0, -4) |
B. |
infinitely many solutions |
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C. |
(2, 0) |
D. |
no solution |
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Hint |
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2. |
Students from the local high school are selling tickets to the town's annual carnival. Adult admission is $5.00 and child admission is $2.50. Two hours after the carnival opened its first day, 440 tickets had been sold totaling $1900. How many adults and how many children entered the carnival during the first two hours it was open? |
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A. |
320 adults, 120 children |
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B. |
293 adults, 147 children |
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C. |
220 adults, 220 children |
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D. |
380 adults, 760 children |
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Hint |
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3. |
Brenda and Amparo left their homes for their morning runs at the same time. Brenda can run a 10-minute mile and Amparo can run a 12-minute mile. Combined, they ran 15 miles in a total of 2 hours and 42 minutes (162 minutes). How many miles did each woman run? |
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A. |
Brenda ran 8 miles; Amparo ran 7 miles |
B. |
Brenda ran 9 miles; Amparo ran 6 miles |
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C. |
Brenda ran 11 miles; Amparo ran 4 miles. |
D. |
Brenda ran 10 miles; Amparo ran 5 miles |
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Hint |
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4. |
Use substitution to solve the system of equations given by y = 2x and 5x + y = 7. |
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A. |
(2, 5) |
B. |
(-1, -2) |
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C. |
(-2, -5) |
D. |
(1, 2) |
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Hint |
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5. |
Use substitution to solve the system of equations given by y =  and 28x – 32y = -8. |
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A. |
infinitely many solutions |
B. |
no solution |
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C. |
(1, 1) |
D. |
(2, 2) |
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Hint |
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