Chapter 1 Worksheets
Short Description
aa...
Description
NAME
CLASS
DATE
Practice Masters Level A
1.1
Tables and Graphs of Linear Equations
State whether each equation is a linear equation. 1.
y ⴝ 4x ⴙ 1
2.
yⴝxⴚ7
3.
y ⴝ 2x2 ⴙ 3x
4.
y ⴝ ⴚ5x
5.
y ⴝ 1 ⴚ x2
6.
y ⴝ 4 ⴙ 2.5x
7.
yⴝ
8.
yⴝ
9.
yⴝ
ⴚ2 x ⴚ x2 3
12.
yⴝ
1 xⴙ5 2
1 2 x ⴙ3 2
3 xⴚ1 4
Graph each linear equation. 10.
y ⴝ 3x ⴙ 2
11.
y ⴝ 4x ⴚ 1
y
y
y
Copyright © by Holt, Rinehart and Winston. All rights reserved.
13.
y ⴝ 2x ⴙ 1
x
x
x
14.
y ⴝ 2x
y
15.
yⴝ ⴚxⴚ4
y
y
x
x
x
Determine whether each table represents a linear relationship between x and y. If the relationship is linear, write the next ordered pair that would appear in the table. 16.
x
0
1
2
3
y
4
5
6
7
Algebra 2
17.
x
2
3
4
5
y
5
7
8
11
18.
x
2
1
0
1
y
7
4
1
2
Practice Masters Levels A, B, and C
1
Answers Lesson 1.1 Level A 1.
Linear
2.
Linear
5 4 3
y 2x 1
1
3.
Not linear
4.
Linear
5.
Not linear
6.
Linear
7.
Not linear
8.
Linear
9.
Not linear
x
5 4 3 2 1 1
2 3 4 5
2 3 4 5
y
14. 5 4 3 2 1
y 2x
5 4 3 2 1
x
y
15.
1 2 3 4 5 2 3 4 5
5 4
4 5
x
16.
(4, 8)
17.
Not linear
18.
(2, 5)
1 2 3 4 5
2
Lesson 1.1 Level B
y
5 4 3 2 1 1
x 1 2 3 4 5
2
y 4x 1
5 4 3 2 1 1
5 4 3 2 1
2 1 1
Copyright © by Holt, Rinehart and Winston. All rights reserved.
5 4 3 2 1
12.
5 4 3 2 1
yx4
y
11.
1 2 3 4 5
3 4 5
y 3x 2
5 4 3 2
x
5 4 3 2 1
y
10.
y 2x 5
x 1 2 3 4 5
2 3 4 5
280
y
13.
Practice Masters Levels A, B, and C
1.
Linear
2.
Linear
3.
Not linear
4.
Linear
5.
Not linear Algebra 2
NAME
CLASS
DATE
Practice Masters Level A
1.2
Slopes and Intercepts
Write the equation in slope-intercept form for the line that has the indicated slope, m, and y-intercept, b. 1.
m ⴝ 2, b ⴝ ⴚ3
3.
m ⴝ ⴚ1, b ⴝ 4
5.
m ⴝ 0, b ⴝ ⴚ7
1 mⴝ ,bⴝ3 2 ⴚ2 4. m ⴝ ,bⴝ0 3 ⴚ1 3 6. m ⴝ ,bⴝ 2 4 2.
Find the slope of the line containing the indicated points.
(ⴚ2, 4) and (2, ⴚ3)
7.
(2, 3) and (4, 5)
9.
(5, 0) and (0, ⴚ5)
10.
(5, 4) and (2, 1)
11.
(0, 0) and (6, ⴚ2)
12.
(4, 6) and (1, ⴚ3)
8.
Identify the slope, m, and y-intercept, b, for each line. Then graph. 13.
y ⴝ 5x ⴚ 3
14.
4x ⴙ y ⴝ 1
y
15.
y
16.
yⴝ3
x
17.
x ⴝ ⴚ4
y
Practice Masters Levels A, B, and C
x
18.
y
x
4
y
4x ⴚ 2y ⴝ 6 y
x
x
Algebra 2
Copyright © by Holt, Rinehart and Winston. All rights reserved.
x
ⴚ1 xⴙyⴝ3 2
Answers y
3. 5 4 1 3 3 2 1
y 6x
x
5 4
1 2 3 4 5
1 3
11.
ⴚ
12.
3
13.
m ⴝ 5, b ⴝ ⴚ3
1 2 3 4 5
4.
horizontal line
5.
A straight line that intercepts the x- and y-axes at the origin. C ⴝ 5 ⴙ 1.5d b. 9.50 c. 5
y
y 5x 3
5 4 3 2 1
x
5 4 3 2 1 1
1 2 3 4 5
2 3 4
6. a.
7.
14.
m ⴝ ⴚ4, b ⴝ 1 y
h ⴝ 15d
5
y ⴝ 6x ⴙ 58 b. 88F
8. a.
y 4x 1
x
5 4 3 2 1 1
Lesson 1.2 Level A
15.
Copyright © by Holt, Rinehart and Winston. All rights reserved.
y ⴝ 2x ⴚ 3 1 2. y ⴝ x ⴙ 3 2 3. y ⴝ ⴚx ⴙ 4 ⴚ2 x 4. y ⴝ 3 5. y ⴝ ⴚ7 3 ⴚ1 xⴙ 6. y ⴝ 2 4 7. 1 ⴚ7 8. 4 9. 1
1 2 3 4 5
2 3 4 5
1.
10.
2 1
1 mⴝ ,bⴝ3 2 y
10 8 6 4 10
6 4 2 2 4 6 8 10
y 2x 3 2 4 6 8 10
x
1
282
Practice Masters Levels A, B, and C
Algebra 2
Answers 16.
m ⴝ 0, b ⴝ 3
4.
y y3
5 艐 0.65 7.7 6. ⴚ2 5.
5 4 2 1
x
5 4 3 2 1 1
1 2 3 4 5
2 3 4 5
17.
y 5 4 3 2 1
x 4
x
3 2 1 1
1 2 3 4 5
2 3 4 5
Copyright © by Holt, Rinehart and Winston. All rights reserved.
18.
7.
11.
m ⴝ 6; b ⴝ ⴚ44
12.
m ⴝ 1.5; b ⴝ 0
13.
m ⴝ ⴚ2; b ⴝ ⴚ2
14.
y ⴝ 3x ⴙ 1
15.
y ⴝ ⴚ4
16.
x ⴝ ⴚ1
5 4 3 2 1
10 8 6 4 2 2 4 6 8 10
x 2 3 4 5
2 3 5
Lesson 1.2 Level B
1 2 yⴝⴚ xⴚ 3 3 ⴚ6 2. y ⴝ 7 ⴚ3 x 3. y ⴝ 5 1.
Algebra 2
y 10 8 6 4 2
y
5 4 3 2 1 1
mⴝ
17.
m ⴝ 2, b ⴝ ⴚ3
y 2x 3
0
8 ⴚ2 ;bⴝ 3 3 2 9. m ⴝ ; b ⴝ ⴚ1 5 10. m ⴝ 1; b ⴝ 0 8.
m ⴝ undefined, b ⴝ none
5
y ⴝ ⴚx
y x 2 5
2 4 6 8 10
x
y
18. 5 4 3 2 1 5 4 3 2 1 1
2 y x 3 3
x 1 2 3 4 5
2 3 4 5
Practice Masters Levels A, B, and C
283
NAME
CLASS
DATE
Practice Masters Level A
1.3
Linear Equations In Two Variables
Write an equation for the line containing the indicated points. 1. (4, 2)
and (5, 4)
2.
(0, 3) and (2, 10)
3.
(ⴚ3, 2) and (2, 1)
4.
冢
5.
(3, ⴚ5) and (6, ⴚ5)
6.
(2, ⴚ3) and (2, 0)
ⴚ4,
冣
1 and (ⴚ2, 6) 2
Write an equation in slope-intercept form for the line that has the indicated slope, m, and contains the given point. 7.
m ⴝ 2 and (4, 4)
9.
mⴝ
11.
8.
1 and (6, ⴚ3) 2
m ⴝ 4 and (0, 0)
m ⴝ ⴚ3 and (ⴚ1, 6) ⴚ3 and (8, 0) 4
10.
mⴝ
12.
m ⴝ 0 and (2, 2)
Write an equation in slope-intercept form for the line that contains the given point and is parallel to the given line.
Copyright © by Holt, Rinehart and Winston. All rights reserved.
13.
(2, 5); y ⴝ x ⴙ 6
5 xⴚ2 3 ⴚ1 1 17. (4, 1); y ⴝ xⴙ 2 2 15.
(3, ⴚ4); y ⴝ
14.
(ⴚ3, 1); y ⴝ ⴚ5x ⴙ 2
16.
(2, 5); y ⴝ x ⴙ 6
18.
(0, ⴚ3); y ⴝ 5
19.
(2, ⴚ2); y ⴝ ⴚ3x ⴙ 6
20.
(4, 6); y ⴝ 2x ⴚ 1
21.
(6, ⴚ3); y ⴝ ⴚ9x ⴚ 18
22.
冢
ⴚ3,
冣
3 ;yⴝxⴙ1 2
Write an equation in slope-intercept form for the line that contains the given point and is perpendicular to the given line. 23.
3 (0, ⴚ5); y ⴝ x ⴙ 7 4
24.
(6, 2); y ⴝ ⴚ3x ⴚ 1
25.
(ⴚ4, 0); x ⴙ y ⴝ 5
26.
(ⴚ6, ⴚ2); 3x ⴚ y ⴝ 1
27.
(ⴚ2, 2); y ⴝ
28.
(7, ⴚ1); y ⴝ 3
29.
(6, ⴚ2); y ⴝ 6x ⴙ
6 8
30.
(4, ⴚ10); y ⴝ 4x ⴚ 8
31.
(8, 16); y ⴝ 2x ⴙ 12
32.
3 6 (3, ⴚ2); y ⴝ x ⴚ 2 8
Algebra 2
ⴚ1 x 4
Practice Masters Levels A, B, and C
7
Answers Lesson 1.2 Level C
undefined 1 2. ⴚ 2
7.
6
8.
45.833
1.
0.133 pounds per day b. 65 days c. y ⴝ 0.133x ⴚ 0.59 d. how much the chicken weighed at birth
9. a.
y
3. y 3x 4
5 4 3 2 1
Lesson 1.3 Level A x
5 4 3 2 1 1
2 3 4 5
1.
2 3 4 5
7 xⴙ3 2 7 ⴚ1 3. y ⴝ xⴙ 5 5 23 11 xⴙ 4. y ⴝ 4 2
y
4. 5 4 3 2 1
5 y 4x 3 3
x
5 4 3 2 1 1
1
5 4
5 4 3 2 1
x
y
5 4 3 2 1 1
1 y 2x 5 5
x 2 3 4 5
2 3 4 5
284
y ⴝ ⴚ5
6.
xⴝ2
7.
y ⴝ 2x ⴚ 4
8.
y ⴝ ⴚ3x ⴙ 3
1 xⴚ6 2 3 10. y ⴝ ⴚ x ⴙ 6 4
1 2 3 4 5
2 3 4 5
5 4 3 2 1
5.
9.
2 1 1
6.
yⴝ
Practice Masters Levels A, B, and C
Copyright © by Holt, Rinehart and Winston. All rights reserved.
y
y 2x 1
2.
3 4 5
2 3 4 5
5.
y ⴝ 2x ⴚ 6
yⴝ
11.
y ⴝ 4x
12.
y ⴝ 2
13.
yⴝxⴙ3
14.
y ⴝ ⴚ5x ⴚ 14
15.
yⴝ
16.
yⴝxⴙ3
17.
yⴝ
5 xⴚ9 3 ⴚ1 xⴙ3 2
Algebra 2
Answers 18.
y ⴝ ⴚ3
19.
y ⴝ ⴚ3x ⴙ 4
20.
y ⴝ 2x ⴚ 2
21.
y ⴝ ⴚ9x ⴙ 51
22.
y ⴝ xⴙ
23.
yⴝ
9 2
ⴚ4 xⴚ5 3
y ⴝ ⴚ5x ⴚ 11
6.
yⴝ
7.
1 1 yⴝⴚ xⴙ 2 3
8.
yⴝ
9.
x ⴝ ⴚ2
3 65 xⴙ 4 4
ⴚ11 4
10.
xⴝ0
11.
yⴝ
12.
y ⴝ x ⴚ 4;
y ⴝ ⴚx ⴙ 2
13.
y ⴝ ⴚx ⴙ 3;
yⴝxⴚ1
14.
yⴝ
1 2 xⴚ ; 3 2
1 29. y ⴝ ⴚ x ⴚ 1 6
15.
yⴝ
2 xⴙ4 3
1 30. y ⴝ ⴚ x ⴚ 9 4
16.
yⴝ
ⴚ5 x ⴙ 25 2
17.
parallel
18.
neither
1 24. y ⴝ x 3 25.
yⴝxⴙ4
ⴚ1 xⴚ4 26. y ⴝ 3
Copyright © by Holt, Rinehart and Winston. All rights reserved.
5.
27.
y ⴝ 4x ⴙ 10
28.
xⴝ7
1 31. y ⴝ ⴚ x ⴙ 20 2 32.
2 y ⴝ ⴚ x 3
yⴝ
yⴝ
ⴚ3 1 xⴚ 2 2
5 ⴚ1 xⴙ 2 2
4 xⴚ2 5
1.
yⴝ
2.
xⴝ2
3.
y ⴝ 5x ⴙ 29
2.
y ⴝ ⴚ4x ⴚ 12
4.
y ⴝ ⴚ6x ⴙ 2.25
3.
y ⴝ ⴚ8x ⴙ
16 3
5.
yⴝ
4.
yⴝ0
Algebra 2
y ⴝ ⴚ3x ⴙ 15
Lesson 1.3 Level C
Lesson 1.3 Level B 1.
5 1 xⴚ ; 3 3
4 5 xⴚ 3 3
Practice Masters Levels A, B, and C
285
NAME
CLASS
DATE
Practice Masters Level A
1.4
Direct Variation and Proportion
Determine whether each equation describes a direct variation. 1.
y ⴝ 3x
2.
1 yⴝ x 4
3.
yⴝ
4 x
4.
y ⴝ ⴚ0.27x
5.
y ⴝ ⴚ3x ⴙ 1
6.
yⴙxⴝ0
In Exercises 7=14, y varies directly as x. Find the constant of variation, and write an equation of direct variation that relates the two variables. 7.
y ⴝ 4 when x ⴝ 2
8.
y ⴝ ⴚ7 when x ⴝ 3
9.
y ⴝ ⴚ12 when x ⴝ ⴚ20
10.
y ⴝ 5 when x ⴝ ⴚ5
11.
yⴝ
2 when x ⴝ ⴚ4 3
12.
y ⴝ ⴚ16 when x ⴝ
4 5
13.
y ⴝ 0.02 when x ⴝ 0.06
14.
y ⴝ ⴚ1.4 when x ⴝ 0.007
Solve each proportion for the variable. Check your answers.
x 14 ⴝ 5 35
16.
ⴚ3 x ⴝ 8 32
17.
3x 13 ⴝ 10 20
18.
20 10x ⴝ 55 11
19.
2x ⴙ 10 28 ⴝ 5 35
20.
4x ⴚ 6 12x ⴝ 15 90
21.
x ⴙ 4 10 ⴝ 10 50
22.
x 27 ⴝ 12 36
Copyright © by Holt, Rinehart and Winston. All rights reserved.
15.
In Exercises 23=27, y varies directly as x. 23.
If y ⴝ 4 when x ⴝ 2, find y when x ⴝ 5.
24.
If y ⴝ 4 when x ⴝ 2, find x when y ⴝ 16.
25.
If y ⴝ 5 when x ⴝ ⴚ5, find y when x ⴝ ⴚ3.
26.
If y ⴝ 5 when x ⴝ ⴚ5, find y when x ⴝ 2.
27.
If y ⴝ 6 when x ⴝ 3, find x when y ⴝ 4.
10
Practice Masters Levels A, B, and C
Algebra 2
Answers 6.
y ⴝ ⴚ6x ⴙ 6
7.
(2, ⴚ 5)
16.
x ⴝ ⴚ12
17.
xⴝ
13 6
8.
(ⴚ6, ⴚ5); (6, ⴚ3); (4, 7)
9.
perpendicular
18.
x ⴝ 0.4
10.
parallel
19.
x ⴝ ⴚ3
11.
perpendicular
20.
xⴝ3
12.
parallel
21.
x ⴝ ⴚ2
y ⴝ 25x ⴙ 50
22.
x ⴝ 9
78 visits
23.
y ⴝ 10
24.
xⴝ8
25.
yⴝ3
13. a. b.
Lesson 1.4 Level A 1.
yes
26.
y ⴝ ⴚ2
2.
yes
27.
x ⴝ 2
3.
no
4.
yes
5.
no
Lesson 1.4 Level B
yes
7.
k ⴝ 2; y ⴝ 2x
ⴚ7 ⴚ7 ;y ⴝ x 8. k ⴝ 3 3 9.
k ⴝ
3 3 ;y ⴝ x 5 5
10.
k ⴝ ⴚ1; y ⴝ ⴚ1x
11.
ⴚ1 1 x k ⴝ ⴚ ;yⴝ 6 6
12.
k ⴝ ⴚ20; y ⴝ ⴚ20x
13.
k ⴝ
14.
k ⴝ ⴚ200; y ⴝ ⴚ200x
15.
xⴝ2
286
1 1 ;yⴝ x 3 3
Practice Masters Levels A, B, and C
k ⴝ
2.
k ⴝ 2.6; y ⴝ 2.6x
3.
k ⴝ 2.2; y ⴝ 2.2x
4.
k ⴝ
5.
k ⴝ 2.6; y ⴝ 2.6x
6.
k ⴝ 420; y ⴝ 420x
7.
yes, y ⴝ 28x
8.
no
9.
x ⴝ 10
Copyright © by Holt, Rinehart and Winston. All rights reserved.
6.
ⴚ3 ⴚ3 ;yⴝ x 2 2
1.
ⴚ4 ⴚ4 ;yⴝ x 3 3
6 5
10.
xⴝ
11.
xⴝ5
Algebra 2
NAME
CLASS
DATE
Practice Masters Level A
1.5
Scatter Plots and Least-Squares Lines
Match each correlation coefficient with one of the data sets graphed. A.
rⴝ1
B.
r ⬇ 0.6
C.
r⬇0
r ⬇ ⴚ0.1
D.
E. 2.
1. 6
4
2
2
r ⴝ ⴚ1
0 0
2
4
6
3.
0
2
4
6
0
2
4
6
0
2
4
6
4. 6
6
4
4
2
2
0
0 0
2
4
6
5. Copyright © by Holt, Rinehart and Winston. All rights reserved.
F.
6
4
0
6. 6
6
4
4
2
2
0
0 0
7.
r ⬇ ⴚ0.7
2
4
6
The equation of the least square line of the cost, C, of the number of machines, x, is given by the equation C ⴝ 36x ⴙ 2500. Based on the least-squares line, predict the cost of 24 machines.
Use a graphing calculator to create a scatter plot of the data in each table. Describe the correlation as positive, or negative, or no correlation. Then find an equation for the least-squares line. 8.
x
0
2
5
9
y
5
9
15
23
Algebra 2
9.
x
0
y
2.9
2
4
10
11 18.5 44
10.
x
1
2
y
6
8.5
5
8
10.2 23.9
Practice Masters Levels A, B, and C
13
Answers 12.
xⴝ
ⴚ3 4
13.
a ⴝ 8.4
14.
b ⴝ ⴚ3
15.
a ⴝ ⴚ10
16.
b ⴝ 90
2 3
Lesson 1.4 Level C 1.
aⴝ
5 8
Copyright © by Holt, Rinehart and Winston. All rights reserved.
1 2. b ⴝ 4 2 3.
y ⴝ ⴚ2.5x
4.
no 0.6 16.6 pounds c. 3.84 feet d. 0.416 pounds e. because 0 pounds causes 0 stretch
7.
$3364
8.
Correlation–positive y ⴝ 2x ⴙ 5
9.
Correlation–negative y ⴝ ⴚ4.1x ⴚ 2.6
10.
Correlation–negative y ⴝ ⴚ4.7x ⴙ 13.9
Lesson 1.5 Level B 1.
False
2.
True
3.
True
4.
Positive y ⴝ 1.8x ⴚ 0.45
5.
Weak positive correlation y ⴝ 0.14x ⴙ 5 y ⴝ 0.5x ⴙ 22.5 0.41 c. 27.5 d. It is reasonable but not accurate, because the correlation coefficient is weak to moderately positive. He averaged 24.3 points per game.
5. a.
6. a.
b.
b.
1 3 feet 3 b. 18 feet
6. a.
Lesson 1.5 Level A
Lesson 1.5 Level C 1.
y ⴝ ⴚ1.8x ⴙ 72
1.
D
2.
ⴚ0.33
2.
A
3.
54 goals
3.
B
4.
4.
E
It is reasonable but not accurate. The correlation coefficient indicates weak negative correlation.
5.
F
6.
C
Algebra 2
5.
y ⴝ 4.9x ⴙ 18.5
6.
0.68 Practice Masters Levels A, B, and C
287
NAME
CLASS
DATE
Practice Masters Level A
1.6
Introduction to Solving Equations
Solve each equation. 1.
3x ⴚ 5 ⴝ 15
2.
ⴚ2x ⴙ 7 ⴝ 29
3.
ⴚ5 ⴚ 4x ⴝ ⴚ11
4.
6 ⴚ 3x ⴝ 6
5.
5(x ⴙ 3) ⴝ ⴚ45
6.
1 xⴚ4ⴝ2 2
7.
48 ⴙ 6x ⴝ ⴚ2x
8.
ⴚ6x ⴚ 7 ⴝ 20 ⴙ 3x
9.
3 1 7 xⴙ ⴝ 4 2 2
10.
ⴚ1.2 ⴙ 0.3x ⴝ 0.9x
Solve each equation by graphing. Give answers to the nearest hundredth. 11.
1.16x ⴙ 0.24 ⴝ 3.54 ⴙ 0.9x
12.
ⴚ2.4x ⴚ 2.6 ⴝ ⴚ3.8 ⴚ 1.4x
Solve each literal equation for the indicated variable.
V ⴝ l w h for l
14.
1 A ⴝ bh for b 2
15.
1 A ⴝ (b1 ⴙ b2)h for h 2
16.
I ⴝ prt for t
C ⴝ 2r for r
gt2 18. V ⴝ for g 2
17.
Copyright © by Holt, Rinehart and Winston. All rights reserved.
13.
Write and solve an appropriate equation for each situation. 19.
Josie has a dog-walking service. She charges $10 per dog plus $2 per hour. If Josie walks Mr. Grove’s 3 dogs for 2 hours how much money does Josie earn?
20.
Harris earns $125 per week as a chef, plus $7 per hour for cleaning up. If Harris cleans 6 hours in a week in addition to his time as a chef, how much money does Harris earn?
16
Practice Masters Levels A, B, and C
Algebra 2
Answers 7.
67
19.
10y ⴙ 2x ⴝ C; $36
8.
y ⴝ 1.7x ⴙ 1; 0.5
20.
125 ⴙ 7C ⴝ E; $167
9.
$6.1 million
Lesson 1.6 Level A
Lesson 1.6 Level B 1.
n ⴝ ⴚ2
x ⴝ 6
2.
y ⴝ ⴚ10
2.
x ⴝ ⴚ11
3.
m ⴝ 5
3.
x ⴝ
4.
x ⴝ
3 5
4.
x ⴝ 0
5.
a ⴝ
1 4
6.
x ⴝ
15 2
7.
m ⴝ
4 3
8.
no solution
9.
x ⴝ ⴚ12.70
3 2
5.
x ⴝ ⴚ12
6.
x ⴝ 12
7.
x ⴝ ⴚ6
8.
x ⴝ ⴚ3
9.
x ⴝ 4
10.
x ⴝ ⴚ2
11.
x ⴝ 12.69
10.
x ⴝ ⴚ46.4
11.
x ⴝ 2.66
12.
x ⴝ any real number
2A 14. b ⴝ h
13.
b1 ⴝ
2A 15. h ⴝ b1 ⴙ b2
14.
lⴝ
I 16. t ⴝ pr
15.
Tⴝ
AⴚP PR
C 17. r ⴝ 2
16.
sⴝ
V ⴚ V0 ⴚ s0 b
2V 18. g ⴝ 2 t
17.
hⴝ
A ⴚr 2r
12.
x ⴝ 1.2
V 13. l ⴝ wh
288
Practice Masters Levels A, B, and C
Copyright © by Holt, Rinehart and Winston. All rights reserved.
1.
2A ⴚ b2 h
P ⴚ 2w 2
Algebra 2
NAME
CLASS
DATE
Practice Masters Level A
1.7
Introduction to Solving Inequalities
Write an inequality that describes each graph. 1. 2. 3. 4.
6
4
2
0
2
4
6
6
4
2
0
2
4
6
6
4
2
0
2
4
6
6
4
2
0
2
4
6
Graph each inequality. 5.
x ⱖ ⴚ1 6
4
6.
2
0
2
4
6
y ⱕ ⴚ2 6
4
2
0
2
4
6
Copyright © by Holt, Rinehart and Winston. All rights reserved.
Solve each inequality, and graph the solution on the number line. 7.
5z ⴚ 6 ⬎ 14
8.
3x ⴙ 10 ⱕ 1
9.
4x ⴚ 15 ⬎ 73
10.
5 ⴚ 2r ⱖ 11
11.
Graph x ⬎ ⴚ6 and x ⬍ 2 on the same number line.
12.
Solve and graph 8x ⴚ 2 ⬎ 4 or 3x ⴙ 6 ⬍ 12.
Algebra 2
Practice Masters Levels A, B, and C
19
Answers 2A d2
18.
d1 ⴝ
19.
20 ⴙ 2x ⴙ x ⴝ 90; x ⴝ 23.3°
20.
c ⴝ 30 ⴙ 18.75h; 12 hours
Lesson 1.6 Level C 1.
x ⴝ ⴚ0.93
2.
x ⴝ ⴚ1
3.
x ⴝ 1
4.
x ⴝ ⴚ8
5.
x ⴝ ⴚ0.55
6.
x ⴝ ⴚ1.59
7.
x ⴝ ⴚ0.43
8.
x ⴝ 1.29
Copyright © by Holt, Rinehart and Winston. All rights reserved.
4 9. x ⴙ x ⴝ 90, 40 and 50 5 10. a. b. c.
y ⴝ 225x ⴙ 1200 $4800 24 months
5.
3 2 1 6.
0
1
2
3
0
1
2
3
1
2
3
4
5
3 2 1
0
1
2
3
22
24
26
28
4 3 2 1
0
1
2
4
6
y ⱕ ⴚ2 3 2 1
7.
z⬎4 1
8.
9.
10.
11.
0
x ⱕ ⴚ3
x ⬎ 22 16
18
20
r ⱕ ⴚ3
x ⬎ ⴚ6 and x ⬍ 2 6 4 2
12.
Paul: y ⴝ 5.75x ⴙ 150 Rene: y ⴝ 5.25x ⴙ 175 b. 50 hours c. Rene
11. a.
Lesson 1.7 Level A
x ⱖ ⴚ1
0
2
8x ⴚ 2 ⬎ 4 or 3x ⴙ 6 ⬍ 12; 3 x ⬎ or x ⬍ 3 4 0
1
2
3
4
1.
8
10
n⬍0
nⱖ1
2.
n⬎1
2.
n ⬍ ⴚ1
3.
n ⬎ ⴚ2 and n ⱕ 4
3.
n ⱖ ⴚ2
4.
n ⱕ ⴚ4 or n ⬎ ⴚ1
4.
n⬍
5.
x ⬍ 10 2
Algebra 2
6
Lesson 1.7 Level B
1.
3 2
5
0
2
4
6
Practice Masters Levels A, B, and C
289
NAME
CLASS
DATE
Practice Masters Level A
1.8
Solving Absolute-Value Equations and Inequalities
Match each statement on the left with a statement on the right. 1.
ⱍx ⴚ 3ⱍ ⴝ 5
ⱍx ⴚ 3ⱍ ⬍ 5 3. ⱍx ⴚ 3ⱍ ⬎ 5 2.
a.
all real numbers
b.
x ⬍ 8 and x ⬎ ⴚ2
c.
no solution
4.
ⱍx ⴚ 3ⱍ ⬎ ⴚ5
d.
x ⬎ 8 or x ⬍ ⴚ2
5.
ⱍx ⴚ 3ⱍ ⴝ ⴚ5
e.
x ⴝ 8 or x ⴝ ⴚ2
Solve each equation. Graph the solution on the number line.
ⱍx ⴚ 4ⱍ ⴝ 2 7. ⱍ2x ⴙ 3ⱍ ⴝ 7 6.
ⱍ3 ⴚ 2xⱍ ⴝ 11
9.
ⱍ6x ⴙ 15ⱍ ⴝ 21
Solve each inequality. Graph the solution on the number line. 10.
ⱍx ⴙ 6ⱍ ⬎ 1
11.
ⱍ3x ⴚ 5ⱍ ⱕ 10
ⱍ5xⱍ ⬍ ⴚ1 13. ⱍx ⴚ 10ⱍ ⱖ 15 12.
For Exercises 14=15, write an absolute-value inequality. 14.
22
2x ⬍ 6 and ⴚ6 ⬍ 2x
Practice Masters Levels A, B, and C
15.
10y ⴚ 12 ⬍ ⴚ10 or 10y ⴚ 12 ⬎ 10
Algebra 2
Copyright © by Holt, Rinehart and Winston. All rights reserved.
8.
Answers 6.
x ⱖ ⴚ39
3.
tⱖⴚ
29 7
40 39 38 37 36 35 34 7.
5 4 3 2 1
y ⬎ ⴚ4 4. 5 4 3 2 1
0
5.
9.
0
1
2
0
2
7. 4
6
2
3
8. 4
5
1
2
3
4
6
1 t⬎ 5 3 2 1
2.
0
1
2
51
10
1 2
10.
2
4
6
8
2
4
6
6
8
10
x ⱕ ⴚ4 or x ⬎ 0 0
7 days 1.8 ⬍ x ⬍ 13
52
53
54
55
1.
e
2.
b
3.
d
4.
a
5.
c
56
6.
x ⴝ 6 or x ⴝ 2 2
290
0
3
m ⱖ 55 50
3
Lesson 1.8 Level A
Lesson 1.7 Level C 1.
0
6 4 2 9.
5
2
z ⬎ ⴚ1.75 and z ⬍ 7
6
n ⬍ 3 and n ⬎ 5 0
1
Copyright © by Holt, Rinehart and Winston. All rights reserved.
12.
1
0
8
x ⬍ 5 or x ⬍ 1 0
3
w ⬍ ⴚ4 and w ⬎ ⴚ47
4 2 11.
2
50 40 30 20 10
3
z ⬎ ⴚ4 and z ⬍ 4 4 2
3 2 1 6.
0
all real numbers
2
x ⬎ 1 or x ⬍ ⴚ2 3 2 1
10.
1
1
m ⬎ ⴚ1.5 3 2 1
0
1
1
18 8. x ⱖ ⴚ 5 4 3 2 1
0
Practice Masters Levels A, B, and C
0
2
4
Algebra 2
Answers 7.
x ⴝ 2 or x ⴝ ⴚ5 6 4 2
8.
2
0
2
6
2
2
1
2
7.
x ⱕ 2 and x ⱖ 3 2 1
1
2
3
4
13.
x ⱖ 25 or x ⱕ ⴚ5 0
5
14.
ⱍ ⱍ
15.
ⱍ10y ⴚ12ⱍ
5
6
3
4
5
2
3
2
3
10
15
9.
20
2x ⬍ 6
10.
⬎ 10 11.
x ⴝ 4 or x ⴝ ⴚ5 0
12
16
20
0
2
4
7
9
11
0
60
80
100
1
1
0
4
x ⱖ 3 or x ⱕ
8
ⴚ9 2
ⱍd ⴚ 102ⱍ
ⱕ 0.025
Lesson 1.8 Level C 2
4
6
1.
m ⴝ 6 or m ⴝ ⴚ1 6 4 2
0
8 6 4 2
Lesson 1.8 Level B
6 4 2
0
x ⬎ ⴚ2 and x ⬍ 14 4
25
ⴚ2 5
b ⬎ ⴚ2 and b ⬍ 3 3 2 1
no solution
5 Copyright © by Holt, Rinehart and Winston. All rights reserved.
0
all real numbers
5 3
x ⱕ 5 and x ⱖ
12.
3.
3
3 2
6.
8.
2.
2
x ⬎ ⴚ5 or x ⬍ ⴚ7
0
1.
1
4
8 7 6 5 4 3 2 11.
x ⴝ 2 or x ⴝ
0
8
x ⴝ 1 or x ⴝ ⴚ6 0
xⴝ0 3 2 1
6
5. 4
8 6 4 2 10.
4
x ⴝ 7 or x ⴝ ⴚ4 4 2
9.
0
4.
2
x ⬍ 3 or x ⬎ 9 1
4
6
2.
1
3
5
t ⱖ 5 and t ⱕ 55
t ⴝ 3 or t ⴝ ⴚ3 0 6 4 2
Algebra 2
0
2
4
10
20
40
6
Practice Masters Levels A, B, and C
291
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