Algebra 1 Chapter 3 Practice Test
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1 Name: Class: Date: ID: A Algebra 1 Chapter 3 Practice Test Multiple Choice Identify the letter of the choice that best completes the statement or answers the question. Which number is a solution of the inequality? 1. b > 11.3 a. 15 b. 9 c. 14 d m > 13 3 a. 3 b. 5 c. 2 d. 9 Write an inequality for the graph. 3. a. m 1 2 b. m > 1 2 c. m 1 2 d. m Tina can type at least 60 words per minute. Write and graph an inequality to model this situation. a. t< 60 c. t> 60 b. t 60 d. t 60 Solve the inequality. Then graph your solution. 5. x 1 9 a. x 9 1 c. x 10 b. x 10 d. x 8 6. x 7 > 3.1 a. x > 10.1 c. x > 4.1 b. x > 3.9 d. x > 4.1 1
2 Name: ID: A 7. c 5 6 a. c 11 c. c 1 b. c 11 d. c x 8 > 4 a. x > 1 2 c. x > 32 b. x > 2 d. x > 4 9. x 4 2 a. x 8 c. x 8 b. x 6 d. x x 8 a. x 4 c. x 4 b. x 6 d. x > x 4 < 4 a. 0 x < 6 c. 2 x < 4 b. 2 x < 0 d. 6 x < 2 2
3 Name: ID: A 12. d a. d 4 or d 4 c. d 8 or d 4 b. d 8 or d 4 d. d 8 or d x + 9 < 25 a. 36 < x < 14 c. 17 > x > 8 b. 17 < x < 8 d. 8 < x < 8 Solve the inequality x 7 < 28 a. x > 7 b. x < 7 c. x > 21 5 d. x < (b 8) > 12 a. b > 20 b. b > 6 c. b > 14 d. b < d 9 15d + 3 a. d 6 13 b. d 3 13 c. d d. d w 8(w + 12) a. w 42 b. w 48 c. w 42 d. w Suppose you had d dollars in your bank account. You spent $22 but have at least $28 left. How much money did you have initially? Write and solve an inequality that represents this situation. a. d 22 > 28; d > 50 c. d ; d 72 b. d ; d 72 d. d 22 28; d The French club is sponsoring a bake sale. If their goal is to raise at least $140, how many pastries must they sell at $3.50 each in order to meet that goal? Write and solve an inequality. a. 3.50p 140; p 490 c. 3.50p 140; p b. 140p 3.50; p 40 d. 3.50p 140; p 40 3
4 Name: ID: A Write a compound inequality that represents each situation. Graph your solution. 20. all real numbers that are greater than 6 but less than 6 a. 6 x 6 c. 6 < x < 6 b. 6 < x < 6 d. 6 < x Write a compound inequality that the graph could represent. a. d > 3 or d 1 c. d < 3 or d 1 b. d < 1 or d 3 d. 1 d < 3 Write an inequality for the situation. 22. all real numbers y that are less than 4 or greater than 9 a. 4 < y < 9 c. y < 4 or y > 9 b. y < 4 or y 9 d. y < 9 or y > 4 Solve the equation. If there is no solution, write no solution n 12 = 16 a. n = 14 or n = 14 c. no solution b. n = 26 or n = 30 d. n = The width of a rectangle is 33 centimeters. The perimeter is at least 776 centimeters. a. Write and solve an inequality to find the length of the rectangle. b. Write an inequality to find the area of the rectangle. a ; 743; A 33(743) b. 2(33) ; 355; A 33(355) c. 2(33) ; 355; A 33(355) d. 2(33) ; 355; A Your class hopes to collect at least 325 cans of food for the annual food drive. There were 132 cans donated the first week and 146 more the second week. a. Write an inequality that describes this situation. Let c represent the number of cans of food that must be collected by the end of the third week for your class to meet or surpass your goal. b. How many cans are needed to meet or surpass your goal? a c 325; c 603 c c; c 603 b c 325; c 47 d c > 325; c > 47 4
5 ID: A Algebra 1 Chapter 3 Practice Test Answer Section MULTIPLE CHOICE 1. ANS: A PTS: 1 DIF: L1 REF: 3-1 Inequalities and Their Graphs OBJ: Identifying Solutions of Inequalities STA: NAEP A3a CAT5.LV19.51 CAT5.LV19.51 CAT5.LV19.52 IT.LV15.DI TV.LV19.10 TV.LV19.11 TV.LVALG.54 TOP: 3-1 Example 1 KEY: solution of the inequality inequality 2. ANS: B PTS: 1 DIF: L1 REF: 3-1 Inequalities and Their Graphs OBJ: Identifying Solutions of Inequalities STA: NAEP A3a CAT5.LV19.51 CAT5.LV19.51 CAT5.LV19.52 IT.LV15.DI TV.LV19.10 TV.LV19.11 TV.LVALG.54 TOP: 3-1 Example 1 KEY: solution of the inequality inequality 3. ANS: C PTS: 1 DIF: L1 REF: 3-1 Inequalities and Their Graphs OBJ: Graphing and Writing Inequalities in One Variable STA: NAEP A3a CAT5.LV19.51 CAT5.LV19.51 CAT5.LV19.52 IT.LV15.DI TV.LV19.10 TV.LV19.11 TV.LVALG.54 TOP: 3-1 Example 4 KEY: writing an inequality from a graph graphing 4. ANS: B PTS: 1 DIF: L2 REF: 3-1 Inequalities and Their Graphs OBJ: Graphing and Writing Inequalities in One Variable STA: NAEP A3a CAT5.LV19.51 CAT5.LV19.51 CAT5.LV19.52 IT.LV15.DI TV.LV19.10 TV.LV19.11 TV.LVALG.54 TOP: 3-1 Example 5 KEY: translating an inequality word problem problem solving 5. ANS: D PTS: 1 DIF: L1 OBJ: Using Addition to Solve Inequalities TOP: 3-2 Example 1 KEY: Addition Property of Inequality solving inequalities graphing 6. ANS: B PTS: 1 DIF: L1 OBJ: Using Addition to Solve Inequalities TOP: 3-2 Example 2 KEY: Addition Property of Inequality solving inequalities 7. ANS: B PTS: 1 DIF: L1 OBJ: Using Subtraction to Solve Inequalities TOP: 3-2 Example 3 KEY: Subtraction Property of Inequality solving inequalities 1
6 ID: A 8. ANS: C PTS: 1 DIF: L1 REF: 3-3 Solving Inequalities Using Multiplication and Division OBJ: Using Multiplication to Solve Inequalities STA: NAEP A4a NAEP A4c CAT5.LV19.50 IT.LV15.CP IT.LV15.PS IT.LV15.AM TOP: 3-3 Example 1 KEY: Multiplication Property of Inequality for c > 0 graphing solving inequalities 9. ANS: D PTS: 1 DIF: L1 REF: 3-3 Solving Inequalities Using Multiplication and Division OBJ: Using Multiplication to Solve Inequalities STA: NAEP A4a NAEP A4c CAT5.LV19.50 IT.LV15.CP IT.LV15.PS IT.LV15.AM TOP: 3-3 Example 2 KEY: Multiplication Property of Inequality for c < 0 solving inequalities 10. ANS: A PTS: 1 DIF: L1 REF: 3-3 Solving Inequalities Using Multiplication and Division OBJ: Using Division to Solve Inequalities STA: NAEP A4a NAEP A4c CAT5.LV19.50 IT.LV15.CP IT.LV15.PS IT.LV15.AM TOP: 3-3 Example 3 KEY: Division Property of Inequality solving inequalities 11. ANS: C PTS: 1 DIF: L1 REF: 3-5 Compound Inequalities OBJ: Solving Compound Inequalities Containing And STA: NAEP A3a NAEP A4c IT.LV15.CP IT.LV15.DI IT.LV15.AM S9.TSK1.PRA S10.TSK1.PRA TV.LV19.10 TV.LV19.17 TV.LV19.52 TV.LVALG.54 TOP: 3-5 Example 2 KEY: solving a compound inequality containing AND compound inequality 12. ANS: D PTS: 1 DIF: L2 REF: 3-6 Absolute Value Equations and Inequalities OBJ: Solving Absolute Value Inequalities NAT: NAEP N1g NAEP A4a NAEP A4c CAT5.LV19.50 CAT5.LV19.55 IT.LV15.CP TV.LVALG.54 STA: CA 3.0 CA 25.0 TOP: 3-6 Example 3 KEY: solving absolute value inequalities graphing solving a compound inequality containing OR MSC: NAEP N1g NAEP A4a NAEP A4c CAT5.LV19.50 CAT5.LV19.55 IT.LV15.CP TV.LVALG ANS: B PTS: 1 DIF: L2 REF: 3-6 Absolute Value Equations and Inequalities OBJ: Solving Absolute Value Inequalities NAT: NAEP N1g NAEP A4a NAEP A4c CAT5.LV19.50 CAT5.LV19.55 IT.LV15.CP TV.LVALG.54 STA: CA 3.0 CA 25.0 TOP: 3-6 Example 3 KEY: solving absolute value inequalities graphing solving a compound inequality containing AND MSC: NAEP N1g NAEP A4a NAEP A4c CAT5.LV19.50 CAT5.LV19.55 IT.LV15.CP TV.LVALG.54 2
7 ID: A 14. ANS: A PTS: 1 DIF: L1 REF: 3-4 Solving Multi-Step Inequalities OBJ: Solving Inequalities With Variables on One Side STA: NAEP A3b NAEP A3c NAEP A4a CAT5.LV19.50 IT.LV15.CP IT.LV15.PS IT.LV15.AM TOP: 3-4 Example 1 KEY: modeling with inequalities multi-step inequality with variables on one side solving inequalities 15. ANS: C PTS: 1 DIF: L1 REF: 3-4 Solving Multi-Step Inequalities OBJ: Solving Inequalities With Variables on One Side STA: NAEP A3b NAEP A3c NAEP A4a CAT5.LV19.50 IT.LV15.CP IT.LV15.PS IT.LV15.AM TOP: 3-4 Example 3 KEY: solving inequalities using the Distributive Property like terms solving inequalities 16. ANS: D PTS: 1 DIF: L1 REF: 3-4 Solving Multi-Step Inequalities OBJ: Solving Inequalities With Variables on Both Sides STA: NAEP A3b NAEP A3c NAEP A4a CAT5.LV19.50 IT.LV15.CP IT.LV15.PS IT.LV15.AM TOP: 3-4 Example 4 KEY: solving inequalities 17. ANS: C PTS: 1 DIF: L1 REF: 3-4 Solving Multi-Step Inequalities OBJ: Solving Inequalities With Variables on Both Sides STA: NAEP A3b NAEP A3c NAEP A4a CAT5.LV19.50 IT.LV15.CP IT.LV15.PS IT.LV15.AM TOP: 3-4 Example 5 KEY: multi-step inequality solving inequalities using the Distributive Property 18. ANS: D PTS: 1 DIF: L2 OBJ: Using Addition to Solve Inequalities TOP: 3-2 Example 4 KEY: Addition Property of Inequality problem solving word problem solving inequalities 19. ANS: D PTS: 1 DIF: L2 REF: 3-3 Solving Inequalities Using Multiplication and Division OBJ: Using Division to Solve Inequalities STA: NAEP A4a NAEP A4c CAT5.LV19.50 IT.LV15.CP IT.LV15.PS IT.LV15.AM TOP: 3-3 Example 4 KEY: Division Property of Inequality problem solving word problem solving inequalities 20. ANS: C PTS: 1 DIF: L1 REF: 3-5 Compound Inequalities OBJ: Solving Compound Inequalities Containing And STA: NAEP A3a NAEP A4c IT.LV15.CP IT.LV15.DI IT.LV15.AM S9.TSK1.PRA S10.TSK1.PRA TV.LV19.10 TV.LV19.17 TV.LV19.52 TV.LVALG.54 TOP: 3-5 Example 1 KEY: writing a compound inequality compound inequality 21. ANS: C PTS: 1 DIF: L2 REF: 3-5 Compound Inequalities OBJ: Solving Compound Inequalities Joined by Or STA: NAEP A3a NAEP A4c IT.LV15.CP IT.LV15.DI IT.LV15.AM S9.TSK1.PRA S10.TSK1.PRA TV.LV19.10 TV.LV19.17 TV.LV19.52 TV.LVALG.54 TOP: 3-5 Example 4 KEY: writing a compound inequality compound inequality 3
8 ID: A 22. ANS: C PTS: 1 DIF: L1 REF: 3-5 Compound Inequalities OBJ: Solving Compound Inequalities Joined by Or STA: NAEP A3a NAEP A4c IT.LV15.CP IT.LV15.DI IT.LV15.AM S9.TSK1.PRA S10.TSK1.PRA TV.LV19.10 TV.LV19.17 TV.LV19.52 TV.LVALG.54 TOP: 3-5 Example 4 KEY: writing a compound inequality compound inequality translating an inequality 23. ANS: A PTS: 1 DIF: L2 REF: 3-6 Absolute Value Equations and Inequalities OBJ: Solving Absolute Value Equations STA: NAEP N1g NAEP A4a NAEP A4c CAT5.LV19.50 CAT5.LV19.55 IT.LV15.CP TV.LVALG.54 TOP: 3-6 Example 1 KEY: absolute value Addition Property of Equality 24. ANS: B PTS: 1 DIF: L2 REF: 3-4 Solving Multi-Step Inequalities OBJ: Solving Inequalities With Variables on One Side NAT: NAEP A3b NAEP A3c NAEP A4a CAT5.LV19.50 IT.LV15.CP IT.LV15.PS IT.LV15.AM STA: CA 5.0 TOP: 3-4 Example 2 KEY: solving inequalities problem solving word problem solving inequalities multi-part question MSC: NAEP A3b NAEP A3c NAEP A4a CAT5.LV19.50 IT.LV15.CP IT.LV15.PS IT.LV15.AM 25. ANS: B PTS: 1 DIF: L2 OBJ: Using Subtraction to Solve Inequalities TOP: 3-2 Example 4 KEY: Subtraction Property of Inequality problem solving word problem solving inequalities multi-part question 4
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