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Prealgebra 2e

Chapter 11

Prealgebra 2eChapter 11

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Table of contents
  1. Preface
  2. 1 Whole Numbers
    1. Introduction
    2. 1.1 Introduction to Whole Numbers
    3. 1.2 Add Whole Numbers
    4. 1.3 Subtract Whole Numbers
    5. 1.4 Multiply Whole Numbers
    6. 1.5 Divide Whole Numbers
    7. Chapter Review
      1. Key Terms
      2. Key Concepts
    8. Exercises
      1. Review Exercises
      2. Practice Test
  3. 2 The Language of Algebra
    1. Introduction to the Language of Algebra
    2. 2.1 Use the Language of Algebra
    3. 2.2 Evaluate, Simplify, and Translate Expressions
    4. 2.3 Solving Equations Using the Subtraction and Addition Properties of Equality
    5. 2.4 Find Multiples and Factors
    6. 2.5 Prime Factorization and the Least Common Multiple
    7. Chapter Review
      1. Key Terms
      2. Key Concepts
    8. Exercises
      1. Review Exercises
      2. Practice Test
  4. 3 Integers
    1. Introduction to Integers
    2. 3.1 Introduction to Integers
    3. 3.2 Add Integers
    4. 3.3 Subtract Integers
    5. 3.4 Multiply and Divide Integers
    6. 3.5 Solve Equations Using Integers; The Division Property of Equality
    7. Chapter Review
      1. Key Terms
      2. Key Concepts
    8. Exercises
      1. Review Exercises
      2. Practice Test
  5. 4 Fractions
    1. Introduction to Fractions
    2. 4.1 Visualize Fractions
    3. 4.2 Multiply and Divide Fractions
    4. 4.3 Multiply and Divide Mixed Numbers and Complex Fractions
    5. 4.4 Add and Subtract Fractions with Common Denominators
    6. 4.5 Add and Subtract Fractions with Different Denominators
    7. 4.6 Add and Subtract Mixed Numbers
    8. 4.7 Solve Equations with Fractions
    9. Chapter Review
      1. Key Terms
      2. Key Concepts
    10. Exercises
      1. Review Exercises
      2. Practice Test
  6. 5 Decimals
    1. Introduction to Decimals
    2. 5.1 Decimals
    3. 5.2 Decimal Operations
    4. 5.3 Decimals and Fractions
    5. 5.4 Solve Equations with Decimals
    6. 5.5 Averages and Probability
    7. 5.6 Ratios and Rate
    8. 5.7 Simplify and Use Square Roots
    9. Chapter Review
      1. Key Terms
      2. Key Concepts
    10. Exercises
      1. Review Exercises
      2. Practice Test
  7. 6 Percents
    1. Introduction to Percents
    2. 6.1 Understand Percent
    3. 6.2 Solve General Applications of Percent
    4. 6.3 Solve Sales Tax, Commission, and Discount Applications
    5. 6.4 Solve Simple Interest Applications
    6. 6.5 Solve Proportions and their Applications
    7. Chapter Review
      1. Key Terms
      2. Key Concepts
    8. Exercises
      1. Review Exercises
      2. Practice Test
  8. 7 The Properties of Real Numbers
    1. Introduction to the Properties of Real Numbers
    2. 7.1 Rational and Irrational Numbers
    3. 7.2 Commutative and Associative Properties
    4. 7.3 Distributive Property
    5. 7.4 Properties of Identity, Inverses, and Zero
    6. 7.5 Systems of Measurement
    7. Chapter Review
      1. Key Terms
      2. Key Concepts
    8. Exercises
      1. Review Exercises
      2. Practice Test
  9. 8 Solving Linear Equations
    1. Introduction to Solving Linear Equations
    2. 8.1 Solve Equations Using the Subtraction and Addition Properties of Equality
    3. 8.2 Solve Equations Using the Division and Multiplication Properties of Equality
    4. 8.3 Solve Equations with Variables and Constants on Both Sides
    5. 8.4 Solve Equations with Fraction or Decimal Coefficients
    6. Chapter Review
      1. Key Terms
      2. Key Concepts
    7. Exercises
      1. Review Exercises
      2. Practice Test
  10. 9 Math Models and Geometry
    1. Introduction
    2. 9.1 Use a Problem Solving Strategy
    3. 9.2 Solve Money Applications
    4. 9.3 Use Properties of Angles, Triangles, and the Pythagorean Theorem
    5. 9.4 Use Properties of Rectangles, Triangles, and Trapezoids
    6. 9.5 Solve Geometry Applications: Circles and Irregular Figures
    7. 9.6 Solve Geometry Applications: Volume and Surface Area
    8. 9.7 Solve a Formula for a Specific Variable
    9. Chapter Review
      1. Key Terms
      2. Key Concepts
    10. Exercises
      1. Review Exercises
      2. Practice Test
  11. 10 Polynomials
    1. Introduction to Polynomials
    2. 10.1 Add and Subtract Polynomials
    3. 10.2 Use Multiplication Properties of Exponents
    4. 10.3 Multiply Polynomials
    5. 10.4 Divide Monomials
    6. 10.5 Integer Exponents and Scientific Notation
    7. 10.6 Introduction to Factoring Polynomials
    8. Chapter Review
      1. Key Terms
      2. Key Concepts
    9. Exercises
      1. Review Exercises
      2. Practice Test
  12. 11 Graphs
    1. Graphs
    2. 11.1 Use the Rectangular Coordinate System
    3. 11.2 Graphing Linear Equations
    4. 11.3 Graphing with Intercepts
    5. 11.4 Understand Slope of a Line
    6. Chapter Review
      1. Key Terms
      2. Key Concepts
    7. Exercises
      1. Review Exercises
      2. Practice Test
  13. A | Cumulative Review
  14. B | Powers and Roots Tables
  15. C | Geometric Formulas
  16. Answer Key
    1. Chapter 1
    2. Chapter 2
    3. Chapter 3
    4. Chapter 4
    5. Chapter 5
    6. Chapter 6
    7. Chapter 7
    8. Chapter 8
    9. Chapter 9
    10. Chapter 10
    11. Chapter 11
  17. Index

Be Prepared

11.1

2 2

11.2

16 16

11.3

5 5

11.4

1 1

11.5

y = 20 5 x 2 y = 20 5 x 2

11.6

9 9

11.7

4 4

11.8

y -axis y -axis

11.9

b

11.10

1 2 1 2

11.11

0, undefined 0, undefined

11.12

5 , 5 , 5 5 , 5 , 5

Try It

11.1
  1. 1C
  2. Engineering Building
11.2
  1. 1A
  2. Library
11.5

(a) Quadrant II, (b) Quadrant III, (c) Quadrant IV, (d) Quadrant II


The graph shows the x y-coordinate plane. The x and y-axis each run from -6 to 6. The point “ordered pair -2, 1” is labeled “a”. The point “ordered pair -3,  1” is labeled “b”.  The point “ordered pair 4, -4 is labeled “c”. The point “ordered pair -4, 3/2” is labeled “d”.
11.6

(a) Quadrant II, (b) Quadrant II, (c) Quadrant IV, (d) Quadrant II


This image is an answer graph and shows the x y-coordinate plane. The x and y-axis each run from -6 to 6. The point “ordered pair -4, 1” is labeled “a”. The point “ordered pair -2,  3” is labeled “b”. The point “ordered pair 2, -5” is labeled “c”. The point “ordered pair -3, 5/2” is labeled “d”.
11.11
  1. A: (5,1)
  2. B: (−2,4)
  3. C: (−5,−1)
  4. D: (3,−2)
11.12
  1. A: (4,2)
  2. B: (−2,3)
  3. C: (−4,−4)
  4. D: (3,−5)
11.13
  1. A: (4,0)
  2. B: (0,3)
  3. C: (−3,0)
  4. D: (0,−5)
11.14
  1. A: (−3,0)
  2. B: (0,−3)
  3. C: (5,0)
  4. D: (0,2)
11.15

,

11.16

,

11.17

11.18

,

11.19
y=3x1y=3x1
xx yy (x,y)(x,y)
00 −1−1 (0,−1)(0,−1)
−1−1 −4−4 (−1,−4)(−1,−4)
22 55 (2,5)(2,5)
11.20
y=6x+1y=6x+1
xx yy (x,y)(x,y)
00 11 (0,1)(0,1)
11 77 (1,7)(1,7)
−2−2 −11−11 (−2,−11)(−2,−11)
11.21
2x5y=202x5y=20
xx yy (x,y)(x,y)
00 −4−4 (0,−4)(0,−4)
1010 00 (10,0)(10,0)
−5−5 −6−6 (−5,−6)(−5,−6)
11.22
3x4y=123x4y=12
xx yy (x,y)(x,y)
00 −3−3 (0,−3)(0,−3)
44 00 (4,0)(4,0)
−4−4 −6−6 (−4,−6)(−4,−6)
11.23

Answers will vary.

11.24

Answers will vary.

11.25

Answers will vary.

11.26

Answers will vary.

11.27

Answers will vary.

11.28

Answers will vary.

11.29
  1. yes yes
  2. no no
  3. no no
  4. yes yes
11.44

x-intercept (2,0): y-intercept (0,−2)

11.45

x-intercept (3,0); y-intercept (0,2)

11.46

(4,0)(4,0) and (0,12)(0,12)

11.47

(8,0)(8,0) and (0,2)(0,2)

11.48

x-intercept (4,0); y-intercept: (0,−3)

11.49

x-intercept (4,0); y-intercept: (0,−2)

11.56
  1. intercepts
  2. horizontal line
  3. plotting points
  4. vertical line
11.57
  1. vertical line
  2. plotting points
  3. horizontal line
  4. intercepts
11.58

4 3 4 3

11.59

1 4 1 4

11.60

2 3 2 3

11.61

4 3 4 3

11.66

2 5 2 5

11.67

3 4 3 4

11.68

4 3 4 3

11.69

3 5 3 5

11.70

5 4 5 4

11.71

3 2 3 2

11.72

undefined

11.76

−1

11.77

10

11.84

7 12 7 12

11.85

5 12 5 12

11.86

1 36 1 36

11.87

1 48 1 48

Section 11.1 Exercises

1.


The graph shows the x y-coordinate plane. The x and y-axis each run from -6 to 6. The point “ordered pair 3, 2” is labeled
3.


The graph shows the x y-coordinate plane. The x and y-axis each run from -6 to 6. The point “ordered pair 1, 5” is labeled
5.


The graph shows the x y-coordinate plane. The x and y-axis each run from -6 to 6. The point “ordered pair 1, 4” is labeled. The point “ordered pair 4, 1” is labeled.
7.


The graph shows the x y-coordinate plane. The x and y-axis each run from -6 to 6. The point “ordered pair 3, 4” is labeled. The point “ordered pair 4, 3” is labeled.
9.


The graph shows the x y-coordinate plane. The x and y-axis each run from -6 to 6. The quadrants are labeled I, II, III, and IV. The point (-1, 1) is labeled a, the point (-2, -1) is labeled b. The point (1, -4) is labeled c, and the point (3, 7/2) is labeled d.
11.


The graph shows the x y-coordinate plane. The x and y-axis each run from -6 to 6. The point (3, -2) is labeled a, the point (-3, 2) is labeled b. The point (-3, -2) is labeled c, and the point (3, 2) is labeled d.
13.


The graph shows the x y-coordinate plane. The x and y-axis each run from -6 to 6. The point (-2, 0) is labeled a, the point (-3, 0) is labeled b. The point (0, 4) is labeled c, and the point (0, 2) is labeled d.
15.

C(1, -3) D(4, 3)

17.

S(-2, 4) T(-4, -2)

19.

C(0, -1) D(-1, 0)

21.

,

23.

,

25.

,

27.

,

29.
xx yy (x,y)(x,y)
−1−1 −6−6 (−1,−6)(−1,−6)
00 −4−4 (0,−4)(0,−4)
22 00 (2,0)(2,0)
31.
xx yy (x,y)(x,y)
−2−2 77 (−2,7)(−2,7)
00 55 (0,5)(0,5)
33 22 (3,2)(3,2)
33.
xx yy (x,y)(x,y)
−2−2 11 (−2,1)(−2,1)
00 −2−2 (0,−2)(0,−2)
22 −5−5 (2,−5)(2,−5)
35.
  1. This figure shows points plot on the x y coordinate plane. There are 7 points graphed without labeled at approximately the points “ordered pair 0, 7”, “ordered pair 2, 11”, “ordered pair 4, 15”, “ordered pair 6, 16”, “ordered pair 8, 19”, “ordered pair 10, 20”, “ordered pair 12, 21”.
  2. Age and weight are only positive.
37.

Answers may vary.

Section 11.2 Exercises

39.
  1. yes yes
  2. no no
  3. yes yes
  4. no no
41.
  1. yes yes
  2. yes yes
  3. yes yes
  4. no no
43.


The graph shows the x y-coordinate plane. The x and y-axis each run from -12 to 12. A line passes through the points “ordered pair 0,  -1” and “ordered pair 1/3, 0”.
45.


The graph shows the x y-coordinate plane. The x and y-axis each run from -12 to 12. A line passes through the points “ordered pair 0,  4” and “ordered pair 1, 0”.
47.


The graph shows the x y-coordinate plane. The x and y-axis each run from -12 to 12. A line passes through the points “ordered pair 0,  2” and “ordered pair 2, 4”.
49.


The graph shows the x y-coordinate plane. The x and y-axis each run from -12 to 12. A line passes through the points “ordered pair 0,  -3” and “ordered pair 1, -4”.
51.


The graph shows the x y-coordinate plane. The x and y-axis each run from -12 to 12. A line passes through the points “ordered pair 0,  0” and “ordered pair 2, 4”.
53.


The graph shows the x y-coordinate plane. The x and y-axis each run from -12 to 12. A line passes through the points “ordered pair 0,  0” and “ordered pair 1, -4”.
55.


The graph shows the x y-coordinate plane. The x and y-axis each run from -12 to 12. A line passes through the points “ordered pair 0,  2” and “ordered pair 4, 4”.
57.


The graph shows the x y-coordinate plane. The x and y-axis each run from -12 to 12. A line passes through the points “ordered pair 0,  5” and “ordered pair 4, 2”.
59.


The graph shows the x y-coordinate plane. The x and y-axis each run from -12 to 12. A line passes through the points “ordered pair 0,  1” and “ordered pair 8, -2”.
61.


The graph shows the x y-coordinate plane. The x and y-axis each run from -12 to 12. A line passes through the points “ordered pair 0,  2” and “ordered pair 4, -4”.
63.


The graph shows the x y-coordinate plane. The x and y-axis each run from -12 to 12. A line passes through the points “ordered pair 0,  6” and “ordered pair 6, 0”.
65.


The graph shows the x y-coordinate plane. The x and y-axis each run from -12 to 12. A line passes through the points “ordered pair 0,  -3” and “ordered pair -3, 0”.
67.


The graph shows the x y-coordinate plane. The x and y-axis each run from -12 to 12. A line passes through the points “ordered pair 0,  -2” and “ordered pair 2, 0”.
69.


The graph shows the x y-coordinate plane. The x and y-axis each run from -12 to 12. A line passes through the points “ordered pair 0,  1” and “ordered pair 8, 8”.
71.


The graph shows the x y-coordinate plane. The x and y-axis each run from -12 to 12. A line passes through the points “ordered pair -4,  0” and “ordered pair 0, 4”.
73.


The graph shows the x y-coordinate plane. The x and y-axis each run from -12 to 12. A line passes through the points “ordered pair -5,  0” and “ordered pair 0, -5”.
75.


The graph shows the x y-coordinate plane. The x and y-axis each run from -12 to 12. A line passes through the points “ordered pair 4,  -4” and “ordered pair 0, 8”.
77.


The graph shows the x y-coordinate plane. The x and y-axis each run from -12 to 12. A line passes through the points “ordered pair 0,  -3” and “ordered pair 2, -7”.
79.


The graph shows the x y-coordinate plane. The x and y-axis each run from -12 to 12. A line passes through the points “ordered pair 0,  4” and “ordered pair 6, 0”.
81.


The graph shows the x y-coordinate plane. The x and y-axis each run from -12 to 12. A line passes through the points “ordered pair 0,  2” and “ordered pair 6, 0”.
83.


The graph shows the x y-coordinate plane. The x and y-axis each run from -12 to 12. A vertical line passes through the points “ordered pair 4,  0” and “ordered pair 4, 1”.
85.


The graph shows the x y-coordinate plane. The x and y-axis each run from -12 to 12. A vertical line passes through the points “ordered pair -2,  0” and “ordered pair -2, 1”.
87.


The graph shows the x y-coordinate plane. The x and y-axis each run from -12 to 12. A horizontal line passes through the points “ordered pair 0,  3” and “ordered pair 1, 3”.
89.


The graph shows the x y-coordinate plane. The x and y-axis each run from -12 to 12. A horizontal line passes through the points “ordered pair 0,  -5” and “ordered pair 1, -5”.
91.


The graph shows the x y-coordinate plane. The x and y-axis each run from -12 to 12. A vertical line passes through the points “ordered pair 7 over 3,  0” and “ordered pair 7 over 3 , 1”.
93.


...
95.


The graph shows the x y-coordinate plane. The x and y-axis each run from -12 to 12. A horizontal line passes through “ordered pair 0, 2” and “ordered pair 1, 2” . A second line passes through “ordered pair 0, 0” and “ordered pair 1, 2” . The two lines intersect at “ordered pair 1, 2”.
97.


...
99.


...
101.
...
103.
...
105.
...
107.
...
109.
...
111.
...
113.


The graph shows the x y-coordinate plane. The x-axis runs from 0 to 1000. The y-axis runs from 0 to 1200. A line passes through the points “ordered pair 0,  594” and “ordered pair 800, 850”.


$722, $850, $978

115.

Answers will vary.

Section 11.3 Exercises

117.

(3,0),(0,3)

119.

(5,0),(0,−5)

121.

(−2,0),(0,−2)

123.

(−1,0),(0,1)

125.

(0,0)

127.

(4,0),(0,4)

129.

(−2,0),(0,−2)

131.

(5,0),(0,−5)

133.

(−3,0),(0,3)

135.

(8,0),(0,4)

137.

(2,0),(0,6)

139.

(12,0),(0,−4)

141.

(2,0),(0,−8)

143.

(5,0),(0,2)

145.

(4,0),(0,−6)

147.

(3,0),(0,−1)

149.

(−10,0),(0,2)

151.

(0,0)

153.

(0,0)

155.


The graph shows the x y-coordinate plane. The x and y-axis each run from -12 to 12.  A line passes through the points “ordered pair 0, 2” and “ordered pair -10, 0”.
157.


The graph shows the x y-coordinate plane. The x and y-axis each run from -12 to 12.  A line passes through the points “ordered pair 0, 2” and “ordered pair 4, 0”.
159.


The graph shows the x y-coordinate plane. The x and y-axis each run from -12 to 12.  A line passes through the points “ordered pair 0, 2” and “ordered pair 2, 0”.
161.


The graph shows the x y-coordinate plane. The x and y-axis each run from -12 to 12.  A line passes through the points “ordered pair 0, 3” and “ordered pair 3, 0”.
163.


The graph shows the x y-coordinate plane. The x and y-axis each run from -12 to 12.  A line passes through the points “ordered pair 0, -1” and “ordered pair 1, 0”.
165.


The graph shows the x y-coordinate plane. The x and y-axis each run from -12 to 12.  A line passes through the points “ordered pair 0,  4” and “ordered pair -4, 0”.
167.


The graph shows the x y-coordinate plane. The x and y-axis each run from -12 to 12.  A line passes through the points “ordered pair 0,  4” and “ordered pair 1, 0”.
169.


The graph shows the x y-coordinate plane. The x and y-axis each run from -12 to 12.  A line passes through the points “ordered pair 0,  6” and “ordered pair -2, 0”.
171.
The graph shows the x y-coordinate plane. The x and y-axis each run from -12 to 12.  A line passes through the points “ordered pair 0,  3” and “ordered pair 6, 0”.
173.


The graph shows the x y-coordinate plane. The x and y-axis each run from -12 to 12.  A line passes through the points “ordered pair 0,  -3” and “ordered pair 2, 0”.
175.


The graph shows the x y-coordinate plane. The x and y-axis each run from -12 to 12.  A line passes through the points “ordered pair 0,  4” and “ordered pair -10, 0”.
177.


The graph shows the x y-coordinate plane. The x and y-axis each run from -12 to 12.  A line passes through the points “ordered pair 0,  0” and “ordered pair 2, -4”.
179.


The graph shows the x y-coordinate plane. The x and y-axis each run from -12 to 12.  A line passes through the points “ordered pair 0,  0” and “ordered pair 2, 2”.
181.

vertical line

183.

horizontal line

185.

plotting points

187.

intercepts

189.

plotting points

191.

horizontal line

193.

intercepts

195.

plotting points

197.

(0,1,000),(15,0). At (0,1,000) he left Chicago 0 hours ago and has 1,000 miles left to drive. At (15,0) he left Chicago 15 hours ago and has 0 miles left to drive.

199.

Answers will vary.

201.

Answers will vary.

Section 11.4 Exercises

203.

1 4 1 4

205.

3 2 3 2

207.


The figure shows a grid of evenly spaced dots. There are 5 rows and 5 columns. There is a rubber band style loop connecting the point in column 2 row 5 and the point in column 5 row 3.
209.


The figure shows a grid of evenly spaced dots. There are 5 rows and 5 columns. There is a rubber band style loop connecting the point in column 1 row 4 and the point in column 5 row 3.
211.


The figure shows a grid of evenly spaced dots. There are 5 rows and 5 columns. There is a rubber band style loop connecting the point in column 1 row 4 and the point in column 3 row 5.
213.


The figure shows a grid of evenly spaced dots. There are 5 rows and 5 columns. There is a rubber band style loop connecting the point in column 1 row 2 and the point in column 4 row 4.
215.

2 5 2 5

217.

5 4 5 4

219.

1 3 1 3

221.

3 4 3 4

223.

3 4 3 4

225.

5 2 5 2

227.

2 3 2 3

229.

1 4 1 4

231.

0

233.

undefined

235.

0

237.

undefined

239.

5 2 5 2

241.

3 4 3 4

243.

5 2 5 2

245.

8 5 8 5

247.

7 3 7 3

249.

−1

251.


The graph shows the x y-coordinate plane. The x-axis runs from -12 to 12. The y-axis runs from 12 to -12. A line passes through the points “ordered pair 5,  1” and “ordered pair 1, -2”
253.


The graph shows the x y-coordinate plane. The x-axis runs from -12 to 12. The y-axis runs from 12 to -12. A line passes through the points “ordered pair 2, 5” and “ordered pair 5, 4”.
255.


The graph shows the x y-coordinate plane. The x-axis runs from -12 to 12. The y-axis runs from 12 to -12. A line passes through the points “ordered pair -3, 4” and “ordered pair -1, 1”.
257.


The graph shows the x y-coordinate plane. The x-axis runs from -12 to 12. The y-axis runs from 12 to -12. A line passes through the points “ordered pair 2,0” and “ordered pair -1, -4”.
259.


The graph shows the x y-coordinate plane. The x-axis runs from -12 to 12. The y-axis runs from 12 to -12. A line passes through the points “ordered pair 0, 3” and “ordered pair 5, 1”.
261.


The graph shows the x y-coordinate plane. The x-axis runs from -12 to 12. The y-axis runs from 12 to -12. A line passes through the points “ordered pair -2,0” and “ordered pair 2, 3”.
263.


The graph shows the x y-coordinate plane. The x-axis runs from -12 to 12. The y-axis runs from 12 to -12. A line passes through the points “ordered pair -3, 3” and “ordered pair -2, 5”.
265.


The graph shows the x y-coordinate plane. The x-axis runs from -12 to 12. The y-axis runs from 12 to -12. A line passes through the points “ordered pair 1, 5” and “ordered pair 2, 2”.
267.

1 3 1 3

269.

350350 rise=3;run=50rise=3;run=50

271.
  1. 288 inches (24 feet)
  2. Models will vary.
273.

Answers will vary.

275.

Answers will vary.

Review Exercises

277.


The graph shows the x y-coordinate plane. The x-axis runs from -6 to 6. The y-axis runs from 6 to -6. The points “ordered pair 1,3” and “ordered pair 3,1” are plotted.
279.
  1. III
  2. II
  3. IV
  4. I


281.
  1. (5,3)
  2. (2,−1)
  3. (−3,−2)
  4. (−1,4)
283.
  1. (2,0)
  2. (0,−5)
  3. (−4,0)
  4. (0,3)
285.

,

287.
xx yy (x,y)(x,y)
00 −1−1 (0,−1)(0,−1)
11 33 (1,3)(1,3)
−2−2 −9−9 (−2,−9)(−2,−9)
289.
xx yy (x,y)(x,y)
55 00 (5,0)(5,0)
11 22 (1,2)(1,2)
−1−1 33 (−1,3)(−1,3)
291.

Answers will vary.

293.

Answers will vary.

295.
  1. yes yes
  2. no no
  3. yes yes
  4. yes yes
297.


The graph shows the x y-coordinate plane. Each axis runs from -6 to 6. A line passes through the points “ordered pair 1,  1” and “ordered pair 0, -3”.
299.


The graph shows the x y-coordinate plane. Each axis runs from -6 to 6.  A line passes through the points “ordered pair 1,  5” and “ordered pair 0, 7”.
301.


The graph shows the x y-coordinate plane. Each axis runs from -6 to 6. A vertical line passes through the point “ordered pair 0, 3”.
303.

(0,3) (3,0)

305.

(−1,0) (0,1)

307.

(0,0)

309.


This answer graph shows the x y-coordinate plane. The x and y-axis each run from -6 to 6.  The equation x plus y equals -2 is  shown. A line passes through the intercepts with coordinates 0, –2 and –2, 0.
311.

horizontal line

313.

intercepts

315.

plotting points

317.

4 3 4 3

319.

2 3 2 3

321.


The figure shows a grid of evenly spaced dots. There are 5 rows and 5 columns. There is a rubber band style loop connecting the point in column 1 row 5 and the point in column 3 row 2.
323.


The figure shows a grid of evenly spaced dots. There are 5 rows and 5 columns. There is a rubber band style loop connecting the point in column 1 row 2 and the point in column 3 row 3.
325.

1

327.

1 2 1 2

329.

undefined

331.

0

333.

−4

335.

1 2 1 2

337.


The graph shows the x y-coordinate plane. The x-axis runs from -6 to 6. The y-axis runs from -4 to 2. A line passes through the points “ordered pair -3,  4” and “ordered pair 1, 3”.

Practice Test

339.


The graph shows the x y-coordinate plane. The axes extend from -6 to 6. a is plotted at 2, 5, b at -1, -3, c at -4, 0, d at 3, -5, and e at -2,1.
341.

(4,0), (0,−2)

343.

no; 1 + 4 · 3 ≠ 12

345.
xx yy (x,y)(x,y)
00 88 (0,8)(0,8)
22 00 (2,0)(2,0)
33 −4−4 (3,−4)(3,−4)
347.


 The graph shows the x y-coordinate plane. The x-axis runs from -6 to 6. The y-axis runs from -6 to 6. A line passes through the points “ordered pair 0,  -2” and “ordered pair -3, 0”.
349.

5 2 5 2

351.

0

353.

1 50 1 50

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