Name: Class: Date: ID: A Algebra 1, Absolute Value Functions Review 3.7.1: I can solve absolute value equations. 1. (1 point) x + 10 = 1 2. (1 point) Starting from 1.5 miles away, a car drives towards a speed check point and then passes it. The car travels at a constant rate of 53 miles per hour. The distance of the car from the check point is given by d =1.5 53t. At what times is the car 0.1 miles from the check point? 3. (1 point) p 5 + 1 = 0 4. (1 point) x + 1 2 = 5 5. (1 point) x 3 = 1 6. (1 point) 2 4x 5 2 = 4 3.7.2/3.7.3: I can solve absolute value inequatialities. 7. (1 point) 2x 14 8. (1 point) d 3 2 9. (1 point) 2x + 3 19 10. (1 point) 4x + 8 > 28 11. (1 point) 2 x + 1 4 < 9 1
Name: ID: A 12. (1 point) 2x + 10 26 5.8.1/5.8.2/OA.5: I can translate the graph of an absolute value function using the Graph Translation Theorem. 13. (1 point) Below are the graphs of y = x and y = x 9. How are the graphs related? 14. (1 point) Below are the graphs of y = x and y = x + 11. How are the graphs related? 15. (1 point) Graph y =x 2. 16. (1 point) Graph y =x + 4. 2
Name: ID: A Write an equation for each translation of y = x. 17. (1 point) 2 units down 18. (1 point) 6.5 units up Graph each equation by translating y = x. 19. (1 point) y =x + 7 20. (1 point) y =x 1 Write an equation for each translation of y = x. 21. (1 point) 3 units left 22. (1 point) 16.5 units right 3
Algebra 1, Absolute Value Functions Review Answer Section 1. ANS: no solution PTS: 1 DIF: L3 REF: 3-7 Absolute Value Equations and Inequalities STA: L1.2.2 A1.2.4 TOP: 3-7 Problem 1 Solving an Absolute Value Equation 2. ANS: 95.1 s and 108.7 s PTS: 1 DIF: L3 REF: 3-7 Absolute Value Equations and Inequalities STA: L1.2.2 A1.2.4 TOP: 3-7 Problem 2 Solving an Absolute Value Equation DOK: DOK 2 3. ANS: no solution PTS: 1 DIF: L3 REF: 3-7 Absolute Value Equations and Inequalities STA: L1.2.2 A1.2.4 TOP: 3-7 Problem 3 Solving an Absolute Value Equation With No Solution 4. ANS: no solution PTS: 1 DIF: L3 REF: 3-7 Absolute Value Equations and Inequalities STA: L1.2.2 A1.2.4 TOP: 3-7 Problem 3 Solving an Absolute Value Equation With No Solution 1
5. ANS: x = 4 or x = 2 PTS: 1 DIF: L2 REF: 1-6 Absolute Value Equations and Inequalities TOP: 1-6 Problem 1 Solving an Absolute Value Equation KEY: absolute value 6. ANS: x = 1 or x = 1 1 2 PTS: 1 DIF: L2 REF: 1-6 Absolute Value Equations and Inequalities TOP: 1-6 Problem 2 Solving a Multi-Step Absolute Value Equation KEY: absolute value 7. ANS: x 7 or x 7 PTS: 1 DIF: L2 REF: 3-7 Absolute Value Equations and Inequalities STA: L1.2.2 A1.2.4 TOP: 3-7 Problem 4 Solving an Absolute Value Inequality Involving Greater Than or Equal To 8. ANS: d 1 or d 5 PTS: 1 DIF: L3 REF: 3-7 Absolute Value Equations and Inequalities STA: L1.2.2 A1.2.4 TOP: 3-7 Problem 4 Solving an Absolute Value Inequality Involving Greater Than or Equal To 2
9. ANS: x 11 or x 8 PTS: 1 DIF: L3 REF: 1-6 Absolute Value Equations and Inequalities TOP: 1-6 Problem 5 Solving the Absolute Value Inequality; "greater than" KEY: absolute value DOK: DOK 2 10. ANS: x < 9 or x > 5 PTS: 1 DIF: L3 REF: 1-6 Absolute Value Equations and Inequalities TOP: 1-6 Problem 5 Solving the Absolute Value Inequality; "greater than" KEY: absolute value DOK: DOK 2 11. ANS: 4 3 4 < x < 4 1 4 PTS: 1 DIF: L4 REF: 1-6 Absolute Value Equations and Inequalities TOP: 1-6 Problem 4 Solving the Absolute Value Inequality; "less than" KEY: absolute value DOK: DOK 2 12. ANS: 18 x 8 PTS: 1 DIF: L3 REF: 1-6 Absolute Value Equations and Inequalities TOP: 1-6 Problem 4 Solving the Absolute Value Inequality; "less than" KEY: absolute value DOK: DOK 2 3
13. ANS: The graphs have the same shape. The y-intercept of y = x is 0 and the y-intercept of the second graph is 9. TOP: 5-8 Problem 1 Describing Translations KEY: absolute value function translation DOK: DOK 2 14. ANS: The graphs have the same shape. The y-intercept of y = x is 0 and the y-intercept of the second graph is 11. TOP: 5-8 Problem 1 Describing Translations KEY: absolute value function translation DOK: DOK 2 15. ANS: OBJ: 5-8.1 To graph an absolute value function NAT: G.2.c G.2.d A.2.a A.2.b A.2.d STA: A2.1.2 A2.2.2 A2.3.3 TOP: 5-8 Problem 2 Graphing a Vertical Translation KEY: absolute value function translation DOK: DOK 2 4
16. ANS: OBJ: 5-8.1 To graph an absolute value function NAT: G.2.c G.2.d A.2.a A.2.b A.2.d STA: A2.1.2 A2.2.2 A2.3.3 TOP: 5-8 Problem 2 Graphing a Vertical Translation KEY: absolute value function translation DOK: DOK 2 17. ANS: y = x 2 TOP: 5-8 Problem 3 Writing Equations of Vertical Translations KEY: absolute value function translation DOK: DOK 2 18. ANS: y = x + 6.5 TOP: 5-8 Problem 3 Writing Equations of Vertical Translations KEY: absolute value function translation DOK: DOK 2 5
19. ANS: TOP: 5-8 Problem 4 Graphing a Horizontal Translation KEY: translation absolute value function DOK: DOK 2 20. ANS: TOP: 5-8 Problem 4 Graphing a Horizontal Translation KEY: translation absolute value function DOK: DOK 2 6
21. ANS: y = x + 3 TOP: 5-8 Problem 5 Writing Equations of Horizontal Translations KEY: absolute value function translation 22. ANS: y = x 16.5 TOP: 5-8 Problem 5 Writing Equations of Horizontal Translations KEY: absolute value function translation 7