Algebra 1 - Chp 3 Test Review
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1 Period: Date: Score: /22_ Algebra 1 - Chp 3 Test Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Describe the transformations from the graph of f(x) = x to the graph of the given function. Then graph the given function. g(x) = x a. The transformations are a horizontal translation 1 unit left, translation 3 units up. c. The transformations are a horizontal translation 1 unit left, translation 3 units down. d. The transformations are a horizontal translation 1 unit right, translation 3 units up. b. The transformations are a horizontal translation 1 unit right, translation 3 units down. 1
2 2. The depth d (in feet) of a manmade lake is represented by the function d(t) = 4t , where t is the month with t = 1 corresponding to January. What is the lowest depth of the lake? a. 4 ft b. 15 ft c. 20 ft d. 5 ft b. 3. Find the domain and range of the function represented by the graph. c. a. domain: 0; range: 1, 0, 1, 2 b. domain: 1, 2, 3, 4; range: 1, 0, 1, 2 c. domain: 1, 2, 3, 4; range: 0 d. domain: 1, 0, 1, 2; range: 0 4. Graph the linear function. f( x) = 3 d. a. 2
3 5. Find the domain and range of the function represented by the graph. c. a. domain: 1, 2, 3, 4; range: 2, 1, 0, 1, 2 b. domain: 1, 2, 3, 4; range: 3, 1, 1 c. domain: 3, 1, 1; range: 2, 1, 0, 1, 2 d. domain: 2, 1, 0, 1, 2; range: 3, 1, 1 d. 6. Graph the linear function. f( x) = 1 4x a. 7. Find the domain and range of the function represented by the graph. b. a. domain: 2 < x < 5, range: 3 < y < 4 b. domain: 3 x 4, range: 2 y 5 c. domain: 2 < x 5, range: 3 < y 4 d. domain: 3 < x 4, range: 2 < y 5 3
4 8. Find the value of x so that the function has the given value. n ( x) = x + 10; n ( x) = 17 a. 27 b. 27 c. 7 d. 7 c. 9. Graph the linear function. g ( x) = 1 3 x 1 a. d. b. 10. Describe the slope of the line. Then find the slope. a. zero; 0 b. positive; 1 c. positive; 5 d. negative; 1 4
5 11. The amount of calories you burn after riding x miles on your bike is represented by the function y = 115x. Find the domain of the function and determine whether it is discrete or continuous. a. x 115; continuous b. x 0; discrete c. x > 0; continuous d. x 115; discrete c. 12. Graph the function. Compare the graph to the graph of f(x) = x. Describe the domain and range. g(x) = 1 3 x a. g is a vertical shrink of the graph of f by a factor of 1 3. range: y 0 d. b. g is a vertical stretch of the graph of f by a factor of 3. range: y 0 g is a vertical stretch of the graph of f by a factor of 3 and a reflection in the x-axis. range: y 0 g is a vertical shrink of the graph of f by a factor of 1 and a reflection in the x-axis. 3 range: y 0 5
6 13. Describe the slope of the line. Then find the slope. b. a. positive; 1 b. negative; 1 c. zero; 0 d. undefined 14. Graph the function. Compare the graph to the graph of f(x) = x. Describe the domain and range. g(x) = 3 x a. c. g is a vertical stretch of the graph of f by a factor of 3 and a reflection in the x-axis. range: y 0 g is a vertical shrink of the graph of f by a factor of 1 3. range: y 0 g is a vertical stretch of the graph of f by a factor of 3. range: y 0 d. g is a vertical shrink of the graph of f by a factor of 1 and a reflection in the x-axis. 3 range: y 0 6
7 15. Find the value of x so that the function has the given value. q ( x) = 1 2 x + 14; q ( x) = 12 c. The transformations are a horizontal translation 2 units left, then a vertical translation 1 unit down. a. 4 b. 4 c. 10 d Describe the transformations from the graph of f(x) = x to the graph of the given function. Then graph the given function. g(x) = x a. The transformations are a horizontal translation 2 units left, then a vertical translation 1 unit up. d. The transformations are a horizontal translation 2 units right, then a vertical translation 1 unit down. b. The transformations are a horizontal translation 2 units right, then a vertical translation 1 unit up. 17. You spend $3.70 on fruit. Apples cost $0.20 each while oranges cost $0.30 each. The equation 0.20x y = 3.70 models the situation, where x is the number of apples and y is the number of oranges. Which of the following is not a possible solution in the context of the problem? a. 2 apples; 11 oranges b. 8 apples; 7 oranges c. 11 apples; 2 oranges d. 5 apples; 9 oranges 7
8 18. Find the value of x so that the function has the given value. t( x) = 9x; t( x) = 18 a. 162 b. 2 c. 162 d Describe the transformations from the graph of f(x) = x to the graph of the given function. Then graph the given function. g(x) = 3 x a. The transformations are a horizontal translation 3 units right, then a vertical stretch by a factor of 3, translation 1 unit down. c. The transformations are a horizontal translation 3 units left, then a vertical stretch by a factor of 3, translation 1 unit up. d. The transformations are a horizontal translation 3 units right, then a vertical shrink by a factor of 1 3, translation 1 unit up. b. The transformations are a horizontal translation 3 units right, then a vertical stretch by a factor of 3, translation 1 unit up. 8
9 20. Let f(x) = 2x 2 and g(x) = f(x) + 5. Use the graphs of f and g to describe the transformation from the graph of f to the graph of g. 22. Describe the slope of the line. Then find the slope. a. positive; 5 b. negative; 1 5 a. horizontal translation 5 units left b. horizontal translation 5 units right c. vertical translation 5 units down d. vertical translation 5 units up c. positive; 1 5 d. negative; A-1 Equipment Rental Company charges $180 per day to rent a backhoe. The rental cost at A-1 can be represented by the function a(x) = 180x, where x is the number of days the backhoe is rented. A competitor charges $225 per day plus an extra $60 fee. The cost at the competitor can be represented by the function c(x) = 225x + 60, where x is the number of days the backhoe is rented. Describe the transformation from the graph of a to the graph of c. a. vertical stretch by 5 4 and then a vertical translation 60 units up b. horizontal shrink by 4 5 and then a vertical translation 60 units up c. vertical stretch by 5 and then a vertical 4 translation 60 units down d. vertical shrink by 5 and then a vertical 4 translation 60 units up 9
10 Algebra 1 - Chp 3 Test Review Answer Section MULTIPLE CHOICE 1. ANS: D PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 3.7 NAT: HSA-CED.A.2 HSA-REI.D.10 HSF-IF.C.7b HSF-BF.B.3 KEY: absolute value function vertex vertex form transformation translation reflection horizontal shrink horizontal stretch vertical stretch vertical shrink parent function NOT: Example 4 2. ANS: B PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 3.7 NAT: HSA-CED.A.2 KEY: absolute value function NOT: Application-1 3. ANS: D PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 3.1 NAT: HSF-IF.A.1 KEY: function domain range NOT: Example 3 4. ANS: A PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 3.3 NAT: HSA-CED.A.2 HSF-IF.A.1 HSF-IF.A.2 HSF-IF.C.7a KEY: function linear function NOT: Example 4 5. ANS: D PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 3.1 NAT: HSF-IF.A.1 KEY: function domain range NOT: Example 3 6. ANS: A PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 3.3 NAT: HSA-CED.A.2 HSF-IF.A.1 HSF-IF.A.2 HSF-IF.C.7a KEY: function linear function NOT: Example 4 7. ANS: D PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 3.1 NAT: HSF-IF.A.1 KEY: function domain range NOT: Example 3 8. ANS: D PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 3.3 NAT: HSA-CED.A.2 HSF-IF.A.1 HSF-IF.A.2 KEY: function NOT: Example 3 9. ANS: B PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 3.3 NAT: HSA-CED.A.2 HSF-IF.A.1 HSF-IF.A.2 HSF-IF.C.7a KEY: function linear function NOT: Example ANS: A PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 3.5 NAT: HSA-CED.A.2 KEY: slope rise run NOT: Example ANS: C PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 3.2 NAT: HSA-REI.D.10 HSF-IF.B.5 HSF-IF.C.7a HSF-LE.A.1b KEY: linear function discrete domain continuous domain application NOT: Example ANS: C PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 3.7 NAT: HSA-CED.A.2 HSA-REI.D.10 HSF-IF.C.7b HSF-BF.B.3 KEY: absolute value function transformation reflection vertical stretch vertical shrink domain range NOT: Example ANS: D PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 3.5 NAT: HSA-CED.A.2 KEY: slope rise run NOT: Example 1 1
11 14. ANS: B PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 3.7 NAT: HSA-CED.A.2 HSA-REI.D.10 HSF-IF.C.7b HSF-BF.B.3 KEY: absolute value function transformation reflection vertical stretch vertical shrink domain range NOT: Example ANS: B PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 3.3 NAT: HSA-CED.A.2 HSF-IF.A.1 HSF-IF.A.2 KEY: function NOT: Example ANS: A PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 3.7 NAT: HSA-CED.A.2 HSA-REI.D.10 HSF-IF.C.7b HSF-BF.B.3 KEY: absolute value function vertex vertex form transformation translation reflection horizontal shrink horizontal stretch vertical stretch vertical shrink parent function NOT: Example ANS: C PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 3.4 NAT: HSA-CED.A.2 HSF-IF.C.7a KEY: standard form x-intercept y-intercept application linear equation NOT: Example ANS: B PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 3.3 NAT: HSA-CED.A.2 HSF-IF.A.1 HSF-IF.A.2 KEY: function NOT: Example ANS: B PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 3.7 NAT: HSA-CED.A.2 HSA-REI.D.10 HSF-IF.C.7b HSF-BF.B.3 KEY: absolute value function vertex vertex form transformation translation reflection horizontal shrink horizontal stretch vertical stretch vertical shrink parent function NOT: Example ANS: D PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 3.6 NAT: HSF-IF.C.7a HSF-BF.B.3 KEY: transformation translation linear function NOT: Example ANS: A PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 3.6 NAT: HSF-IF.C.7a HSF-BF.B.3 KEY: transformation translation reflection horizontal shrink horizontal stretch vertical stretch vertical shrink application linear function NOT: Example ANS: C PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 3.5 NAT: HSA-CED.A.2 KEY: slope rise run NOT: Example 1 2
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