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Name Class Date Chapter 1 Chapter Test Form K Do you know HOW? Identify a pattern and find the next three numbers in the pattern. 1. −5, −1, 3, 7, 2. 64, 32, 16, 8, 3. What properties of real numbers are illustrated by each equation below? a. −8 + 3 = 3 + (−8) b. 4 + ( −4) = 0 c. 2(8 t ) 2 8 2 t d. 7 8 1 8 7 Evaluate the expression for the given value of the variable. 4. a2 − 2(a + 1); a = 3 5. 5(2s − 1) − 3(s + 2); s = 4 6. The expression 15 + 5x models the daily cost in dollars of renting scuba gear from the water sports store. In the expression, x represents the number of hours the scuba gear is used. What is the cost of renting scuba gear for a day when the gear is used for 3 hours? Solve each equation. 7. 2r + 2 = 3r − 5 8. 8(t + 1) = 64 Solve each equation for x. State any restrictions on the variables. 9. xt 1 3 a 8 10. 6x 1 y 5 Prentice Hall Foundations Algebra 2 • Teaching Resources Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved. 67 Name Class Date Chapter 1 Chapter Test (continued) Write an equation and solve the problem. 11. Two buses leave Columbus, Ohio at the same time and travel in opposite directions. One bus averages 55 mi/h and the other bus averages 48 mi/h. When will they be 618 mi apart? Solve each inequality. Graph the solution. 12. 2n + 1 ≥ 7 13. 2a + 5 < 6a + 1 Solve each compound inequality. Graph the solutions. 14. 3x ≤ –6 or 2x + 1 ≥ 3 15. −2t + 2 < 4 and 2t < 6 Solve each equation. Check for extraneous solutions. 16. 3x 3 18 17. b 2 2b 18. The weatherman announced that the temperature T over the next few weeks will be at least 64°F and at most 78F. Write an absolute value inequality for the temperature over the next few weeks. Do you UNDERSTAND? 19. What is another name for the multiplicative inverse? 20. Reasoning Explain in words why 2 x 4 has no solution. 21. Open-Ended What is the difference between simplifying an expression and evaluating an expression? Prentice Hall Foundations Algebra 2 • Teaching Resources Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved. 68 Form K