Lesson Practice 41 a.
Lesson
41
Warm Up 41 1. radical 2. 10 √3 3. x2 - 10x + 25 4. -5, -2 Lesson Practice 41 a. no b. yes c. 12 d. 17 5 ≈ 4.5 e. 2 √ f. 26 13 ≈ 7.2 g. 2 √ h. 9 and -15 i. About 86 km
© 2009 Saxon®, an imprint of HMH Supplemental Publishers Inc. All rights reserved.
LSN 41–1
Saxon Algebra 2
Lesson Practice 41
f (x) is a polynomial of 16. _ g(x)
degree m - n.
1. 10 2. ≈15.65 3. y = -3x + 3 3 4. 72 - 50 √ 2 5. 24 - 12 √ 2x + 1 6. _ x 2
3
5x p + p y - 3x 7. __ py
17. The student factored incorrectly. x2 - 16 = 0 (x + 4)(x - 4) = 0 x + 4 = 0 or x - 4 = 0 x = -4 or x = 4 18. B 19.
4
3 20 x+_ 8. y = -_ 7 7 -4
13 , or about 14.4 12. 4 √ units; about 36 miles 13. (-3, -5); x = -3 b. 4, -1, -4 c. -4, -1, 4 √ Vπh _ πh
-2
O
x 2
4
-2
10. 1 + 5x3y s = 75 11. _ 4
y
2
9. 1 - 3x-1
14.
41
-4
20. It’s a good test point because it makes the math quicker and easier and less prone to errors; it cannot be used when it is on the boundary line. 21. -9 and 9 22. 0.2 kg of almonds, 0.5 kg of cashews, 0.3 kg of pecans
15. D 23. $5: 50; $7: 195; $10: 105 © 2009 Saxon®, an imprint of HMH Supplemental Publishers Inc. All rights reserved.
LSN 41–2
Saxon Algebra 2
Lesson 24. Any number divided by itself is 1, so the expression is being multiplied by 1. By the Identity Property of Multiplication, √ 5 3 3 3 _ ·_=_ ·1=_ , √ 5
√ 5
√ 5
√ 5
so doing this does not change the value of the expression.
29.
s T T F F
t ¬t T F F T T F F T
41
s ∧¬ t F T F F
30. Graph of a discrete, discontinuous, vertical set of points.
v2 25. _ 4r
_
26. The mean is x = 2.89, and the standard deviation is: σ = 2.06 27. The student wrote the formula incorrectly. There should be a plus sign between the two quantities that are squared. The correct distance is √ 1 + 49 = √ 50 = 5 √ 2 28. Yes, this equation is in standard form. The number π is a real number and part of the coefficient of x. © 2009 Saxon®, an imprint of HMH Supplemental Publishers Inc. All rights reserved.
LSN 41–3
Saxon Algebra 2
41
Warm Up 41 1. radical 2. 10 √3 3. x2 - 10x + 25 4. -5, -2 Lesson Practice 41 a. no b. yes c. 12 d. 17 5 ≈ 4.5 e. 2 √ f. 26 13 ≈ 7.2 g. 2 √ h. 9 and -15 i. About 86 km
© 2009 Saxon®, an imprint of HMH Supplemental Publishers Inc. All rights reserved.
LSN 41–1
Saxon Algebra 2
Lesson Practice 41
f (x) is a polynomial of 16. _ g(x)
degree m - n.
1. 10 2. ≈15.65 3. y = -3x + 3 3 4. 72 - 50 √ 2 5. 24 - 12 √ 2x + 1 6. _ x 2
3
5x p + p y - 3x 7. __ py
17. The student factored incorrectly. x2 - 16 = 0 (x + 4)(x - 4) = 0 x + 4 = 0 or x - 4 = 0 x = -4 or x = 4 18. B 19.
4
3 20 x+_ 8. y = -_ 7 7 -4
13 , or about 14.4 12. 4 √ units; about 36 miles 13. (-3, -5); x = -3 b. 4, -1, -4 c. -4, -1, 4 √ Vπh _ πh
-2
O
x 2
4
-2
10. 1 + 5x3y s = 75 11. _ 4
y
2
9. 1 - 3x-1
14.
41
-4
20. It’s a good test point because it makes the math quicker and easier and less prone to errors; it cannot be used when it is on the boundary line. 21. -9 and 9 22. 0.2 kg of almonds, 0.5 kg of cashews, 0.3 kg of pecans
15. D 23. $5: 50; $7: 195; $10: 105 © 2009 Saxon®, an imprint of HMH Supplemental Publishers Inc. All rights reserved.
LSN 41–2
Saxon Algebra 2
Lesson 24. Any number divided by itself is 1, so the expression is being multiplied by 1. By the Identity Property of Multiplication, √ 5 3 3 3 _ ·_=_ ·1=_ , √ 5
√ 5
√ 5
√ 5
so doing this does not change the value of the expression.
29.
s T T F F
t ¬t T F F T T F F T
41
s ∧¬ t F T F F
30. Graph of a discrete, discontinuous, vertical set of points.
v2 25. _ 4r
_
26. The mean is x = 2.89, and the standard deviation is: σ = 2.06 27. The student wrote the formula incorrectly. There should be a plus sign between the two quantities that are squared. The correct distance is √ 1 + 49 = √ 50 = 5 √ 2 28. Yes, this equation is in standard form. The number π is a real number and part of the coefficient of x. © 2009 Saxon®, an imprint of HMH Supplemental Publishers Inc. All rights reserved.
LSN 41–3
Saxon Algebra 2
