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## 100 pt

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**Solving**Linear Equations Graphing Systems 100 pt 100 pt 100 pt 100 pt 200 pt 200 pt 200 pt 200 pt 300 pt 300 pt 300 pt 300 pt 400 pt 400 pt 400 pt 400 pt 500 pt 500 pt 500 pt 500 pt**Translate the following sentence into an equation and solve:**A number x subtracted from 36 is three times the sum of four and x.**The price of jeans was reduced from $75 to $56.25. What was**the percent decrease?**Solve**2 – 3x < 5(2 – x) ≤ 3(2 – x) + 10**Two trains leave Des Moines at the same time, one traveling**west, and the other east. The first train travels at 45 mph and the second at 55 mph. In how many hours will the trains be 750 miles apart?**What is the domain of this relation?**{(3, -2), (-3, 4), (3, 4), (-1, 5)}**Write an equation in slope intercept form for a line passing**through (2, 0) and (-1, 6).**A rental car company charges $52.99 per day, including 200**free kilometers. There is a charge of $0.12/km for additional kilometers. Write a linear equation in slope intercept form that models this situation.**Solve**2x – 3y< 12 x + 5y< 20 x > 0**A system of equations produces two lines that intersect. The**solution of the this system can be described as….**Solve the system using substitution**x = y+3 2x – y = 6**Solve the system using elimination**13a+5b=-11 13a+11b=7**Solve the system using elimination**3x + 4y = -25 2x - 3y = 6**At a Phillies game, hot dogs sell for $3.50 and a large soda**sells for $4.50. On a hot afternoon, one vendor sold 19 more sodas than hotdogs. If the vendor made $317.50, how many of each item was sold?**48 sodas**29 hot dogs