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Name _______________________________________ Date __________________ Class __________________ Reasoning with Equations and Inequalities Form A Select the best answer. 1. A printing company will charge $6 plus $0.07 per page. Another company will charge $24 plus $0.04 per page for the same project. For how many pages will the costs be the same regardless of which company is used? A 330 C 600 B 400 D 1000 2. Solve 10(x 1) 10 10x. F no solution 6. Which inequality is shown by the graph below? F x 3 H x 3 G x 3 J x 3 7. Which inequality represents the situation “no more than 160 students are in the freshman class”? A s 160 C s 160 B s 160 D s 160 G 1 8. Solve x 7 2. H 0 F x 5 H x5 J all real numbers G x 5 J x5 3. Mrs. Nelson is buying folding chairs that are on sale for $10. If she has $50, which inequality can be solved to show the number of chairs c she can buy? A 10c 50 9. Solve 4(x 1) 12. A x 2 C x 3 B x 2 D x 3 10. Solve 23 a 3(2 6). B 10c 50 4. Latisha is on page 30 of her book and reads 3 pages every night. Sal is on page 40 of the same book and reads 2 pages every night. How long will it take Latisha to be further in the book than Sal? F 3 nights H 15 nights G 11 nights J 71 nights F a 6 H a 4 G a 6 J a 4 x y 1 . 11. Solve by any method: x y 3 5. Which graph represents b 5? A B C D A (2, 1) B (1, 2) © Houghton Mifflin Harcourt Publishing Company Holt McDougal Coordinate Algebra Name _______________________________________ Date __________________ Class __________________ Reasoning with Equations and Inequalities Form A continued 12. Which term describes a system with exactly one solution? F consistent and independent Solve each inequality. 20. x3 8 7 G consistent and dependent ________________________________________ H inconsistent J dependent Solve each equation. 21. 12 3x 32 18 13. 10a 35 8a 1 ________________________________________ 14. 5(x 1) 5(x 5) 15 ________________________________________ 15. Describe the solutions of 1 x 2 in words. 3 ________________________________________ ________________________________________ Graph each inequality. ________________________________________ 22. One salesperson earns $1600 per month. A second salesperson earns $500 plus 5% of their sales per month. For what amount of sales would the second salesperson earn more than the first? ________________________________________ 23. Tell whether (5, 6) is a solution of x 2y 7 . y x 1 16. k 1 17. w 2 1 2 18. Write the inequality shown by the graph. ________________________________________ 19. Citizens less than 18 years old are not allowed to vote. Define a variable and write an inequality for the ages of citizens who are not allowed to vote. ________________________________________ y 6x 10 . 24. Classify y 6x 3 Write consistent and independent, consistent and dependent, or inconsistent. ________________________________________ ________________________________________ ________________________________________ © Houghton Mifflin Harcourt Publishing Company Holt McDougal Coordinate Algebra Name _______________________________________ Date __________________ Class __________________ Answers Form A 1. C 3. A 2. J 4. G 5. C 6. F 7. D 8. F 9. A 10. H 11. B 12. F 13. a 2 Reasoning with Equations and Inequalities Answers continued 14. no solution 15. all real numbers greater than or equal to 6 16. 17. 18. x 3 19. a age; a 18; cannot be negative 20. x 53 21. x < 13 22. sales greater than $22,000 23. yes 24. inconsistent © Houghton Mifflin Harcourt Publishing Company Holt McDougal Coordinate Algebra