MATH 100 Midterm: MATH 100 KSU Test 2f00

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You may use a calculator, but do not use books or notes. The point value of each problem is given in the left hand margin. (7 pts. ) How many gallons of pure hydrochloric acid should be added to 40 gallons of a 40% solution of hydrochloric acid to obtain a 50% solution? (6 pts. ) Solve 2x2 = x + 6. (do not use a calculator!) (7 pts. ) Solve the inequality |5 3x| 7. Solve 10 x + x = 4. (do not use a calculator!) (6 pts. ) Mark the set of all real numbers x, with x 1 or x 5, on the real line: Solve the inequality x2(x 3)(x + 2) (x 4)(x + 1) 0. Solve the inequality 3 9 2x < 7. Write the solution in interval notation. (7 pts. ) Solve the inequality |7 2x| > 5. Solve x4 + 2x2 8 = 0. (do not use a calculator!) (6 pts. )