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Name Class Date Chapter 1 Test Review Form G Do you know HOW? Identify a pattern and find the next three numbers in the pattern. 1. –4, –1, 2, 5, . . . 2. 3, 21, 147, 1029, . . . 3. Justify each step by naming the property used. a. 1 1 4 3 4 3 4 4 b. 1 4 3 4 c. 1 3 d. 3 Evaluate the expression for the given value of the variable. 4. –a2+ 4a – 17; a = 5 5. 6(s 2) 4(s 1) ;s 3 3s 1 6. The expression 19.95 + 0.02x models the daily cost in dollars of renting a car. In the expression, x represents the number of miles the car is driven. What is the cost of renting a car for a day when the car is driven 50 miles? Solve each equation. 7. 3r + 3.7 = 5r – 2.5 8. 3(5t + 2) = 36 Solve each equation for x. State any restrictions on the variables. 9. tx – ux = 3t 10. x3 3 a 6 Solve each formula for the indicated variable. 11. R 1 r r , for r2 2 1 2 12. P = 2ℓ + 2w, for ℓ Prentice Hall Algebra 2 • Teaching Resources Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved. 63 Name Class Date Chapter 1 Test Review (continued) Form G Write an equation and solve the problem. 13. Two buses leave Dallas at the same time and travel in opposite directions. One bus averages 58 mi/h, and the other bus averages 52 mi/h. When will they be 363 mi apart? Solve each inequality. Graph the solution. 3 15. 4a 3(a 1) 7 a 2 14. 3m + 7 ≥ 4 Solve each compound inequality. Graph the solutions. 16. 3x – 1 5 or 2x – 4 x 17. –3t 12 and –2t > –6 Solve each equation. Check for extraneous solutions. 18. |2x + 3| = 5 19. |x + 6| = 2x 20. The temperature T of a refrigerator is at least 35°F and at most 41°F. Write a compound inequality and an absolute value inequality for the temperature of the refrigerator. Do you UNDERSTAND? 21. Open-Ended There is no Closure Property of Division that applies to integers. For example, 2 ÷ 3 is not an integer. What is another example of a set of real numbers that does not have a Closure Property for one of the basic operations? Give a specific example to illustrate your claim. 22. Reasoning Explain in words why |x| < 0 has no solution. 23. Writing Explain the difference between the solution(s) to an equation and the solutions to an inequality. Prentice Hall Algebra 2 • Teaching Resources Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved. 64