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Copyright © by McDougal Littell, a division of Houghton Mifflin Company.<br />
Answers for <strong>3.3</strong><br />
For use with pages 1422144<br />
<strong>3.3</strong> Guided Practice<br />
1. When you add the revised<br />
equations, one of the variables is<br />
eliminated. Then you can solve<br />
for the other variable.<br />
2. Multiplying the first equation by<br />
2 yields 4x 2 2y 5 14, not<br />
4x 2 2y 5 7. Adding 4x 2 2y 5<br />
14 and 3x 1 2y 514 yields 7x 5<br />
28, so x 5 4. Then 2(4) 2 y 5 7,<br />
so y 5 1. The solution is (4, 1).<br />
3. Adding the revised equations<br />
yields 7x 5 21, not 2x 5 5.<br />
So, x 5 3 and 2(3) 2 y 5 4, and<br />
so y 5 2. The solution is (3, 2).<br />
4. Sample answer:<br />
2x 1 3y 5 1 Given system<br />
x 2 3y 5 213<br />
2x 1 3y 5 1<br />
x 2 3y 5 213<br />
3x 5 212 Add the<br />
equations.<br />
x 5 24 Divide each side<br />
by 3.<br />
2(24) 1 3y 5 1 Substitute 24<br />
for x.<br />
y 5 3 Solve for y.<br />
The solution is (24, 3).<br />
5. Sample answer:<br />
4x 2 3y 5 2 Given system<br />
x 1 2y 5 6<br />
4x 2 3y 5 2<br />
24x 2 8y 5 224 Multiply<br />
Equation 2<br />
by 24.<br />
211y 5 222 Add the<br />
equations.<br />
y 5 2 Divide each side<br />
by 211.<br />
x 1 2(2) 5 6 Substitute 2 for y.<br />
x 5 2 Solve for x.<br />
The solution is (2, 2).<br />
6. Sample answer:<br />
2x 1 3y 5 7 Given system<br />
3x 1 5y 5 10<br />
6x 1 9y 5 21 Multiply<br />
Equation 1<br />
by 3.<br />
26x 2 10y 5 220 Multiply<br />
Equation 2<br />
by 22.<br />
2y 5 1 Add the<br />
equations.<br />
y 5 21 Multiply<br />
each side by<br />
21.<br />
2x 1 3(21) 5 7 Substitute 21<br />
for y.<br />
x 5 5 Solve for x.<br />
The solution is (5, 21).<br />
7. 20 quarters; 27 dimes<br />
Algebra 2 Concepts and Skills<br />
Answer Transparencies for Checking Homework A
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.<br />
Answers for <strong>3.3</strong> continued<br />
For use with pages 1422144<br />
<strong>3.3</strong> Practice and Applications<br />
8. (4, 25) 9. (4, 23)<br />
10. (23, 24) 11. (7, 2)<br />
12. (0, 3) 13. (8, 3)<br />
14. (4, 8) 15. (22, 26)<br />
16. (221, 13) 17. (5, 1)<br />
18. (4, 27) 19. (3, 9)<br />
20. (26, 241) 21. (21, 218)<br />
22. (26, 2) 23. (3, 7)<br />
24. (8, 6) 25. (9, 0)<br />
26. 15 vegetarian sandwiches and<br />
10 turkey sandwiches<br />
27. infinitely many solutions<br />
28. one solution<br />
29. no solution<br />
30. one solution<br />
31. one solution<br />
32. infinitely many solutions<br />
33. 35 min of inline skating and<br />
25 min of swimming<br />
34. 75 students and 50 adults<br />
35. 4 birdhouses and 13 bird feeders<br />
36. 1 pack of 5 compact discs and<br />
4 packs of 10 compact discs<br />
37. 4 packs of 24 light bulbs and<br />
1 pack of 12 light bulbs<br />
<strong>3.3</strong> Standardized Test Practice<br />
38. A 39. G<br />
40. A 41. F<br />
<strong>3.3</strong> Mixed Review<br />
42. median, 17; upper quartile, 22;<br />
lower quartile, 13<br />
43. median, 59.5; upper quartile,<br />
75.5; lower quartile, 40.5<br />
44. median, 14.55; upper quartile,<br />
19.2; lower quartile, 10.1<br />
45. median, 5; upper quartile, 6;<br />
lower quartile, 2<br />
46. 2 47. 5 }<br />
7<br />
48. 22 49. 0<br />
50. 1 51. 2 5 }<br />
3<br />
52.<br />
y<br />
1<br />
1<br />
Algebra 2 Concepts and Skills<br />
Answer Transparencies for Checking Homework A10<br />
x
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.<br />
Answers for <strong>3.3</strong> continued<br />
For use with pages 1422144<br />
53.<br />
54.<br />
y<br />
2<br />
2<br />
y<br />
1<br />
x<br />
1 x<br />
55. (2, 1) 56. no solution<br />
57. (4, 2)<br />
<strong>3.3</strong> Geometry Skills<br />
58. 15.9 in. 2 59. 1.8 ft 2<br />
60. 20.4 cm 2<br />
Quiz 1<br />
1. (2, 22) 2. (21, 4)<br />
3. (3, 5) 4. (7, 23)<br />
5. (4, 2) 6. (25, 1)<br />
7. (28, 5) 8. (2, 6)<br />
9. (23, 24)<br />
10. 2 hardcover <strong>book</strong>s and<br />
4 paperback <strong>book</strong>s<br />
Algebra 2 Concepts and Skills<br />
Answer Transparencies for Checking Homework A11
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