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Algebra 1 Review Chapter 4 Is each number a solution to the given inequality? 1. 4x + 7 15 2. -2x + 3 > 5 a. -2 a. -3 b. 2 b. -1 c. 5 c. 4 Write an inequality to model the situation. 3. A student can take at most 7 classes. 4. The school track teams needs at least 5 runners to compete at Saturday’s meet. 5. Elephants can drink up to 40 gallons of water. 6. Your early-morning paper route has more than 32 homes. Write an inequality for each graph. 7. 8. 9. 10. Graph the inequality. 11. x > 1 12. x 6 13. 14. 7 x -4 > x Name _________________________ Solve and graph each inequality. 15. z + 7 9 18. -16 4y 16. n – 5 > -10 17. -7x < 21 19. 2 + x > 6 20. – 3x 2 Solve and graph each inequality. -6w + 11 21. 4x – 5 < 3 22. 5w 24. 2(x + 3) – 5 > -1 25. 5c + 4(c – 1) > 2 + 5(2 + c) 23. 3(x – 1) > 6 Order the numbers in each group from LEAST to GREATEST. 26) 4.1, 4.01, -4.11, 4.001 27) -1/5, ½, -1/3, 2/3 Is each statement true or false? If the statement is false, give a counterexample. 28) All Whole numbers are rational numbers. 29) The opposite of a negative number is a positive number. 30) The set of Integer numbers is reasonable to use to count the number of people in your family. Simplify Each Expression. 31) 5 + | -7 + 4 | 32) 3 | -2 | + | -5 |