ID: 1
Algebra I
Name___________________________________
Practice Quiz 8b - Graphing Linear Equations
Date________________ Period____
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Sketch the graph of each line. Use at least 3 points for each graph.
1) y = −2x + 2
2) y = x − 4
6
6
5
5
4
4
3
3
2
2
1
1
−6 −5 −4 −3 −2 −1 0
3) y =
1
2
3
4
5
6
−6 −5 −4 −3 −2 −1 0
−2
−2
−3
−3
−4
−4
−5
−5
−6
−6
2
x−5
5
1
2
3
4
5
6
1
2
3
4
5
6
1
4) y = − x − 1
3
6
6
5
5
4
4
3
3
2
2
1
1
−6 −5 −4 −3 −2 −1 0
1
2
3
4
5
6
−6 −5 −4 −3 −2 −1 0
−2
−2
−3
−3
−4
−4
−5
−5
−6
−6
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-1-
Worksheet by Kuta Software LLC
6) 3x + y = 4
1
5) y = − x − 5
2
6
5
6
4
5
3
4
2
3
1
2
−6 −5 −4 −3 −2 −1 0
1
−6 −5 −4 −3 −2 −1 0
1
2
3
4
5
6
1
2
3
4
5
6
1
2
3
4
5
6
−2
−3
−2
−4
−3
−5
−4
−6
−5
−6
7) 3x − y = 3
8) x + 3 y = −12
6
6
5
5
4
4
3
3
2
2
1
1
−6 −5 −4 −3 −2 −1 0
1
2
3
4
5
6
−6 −5 −4 −3 −2 −1 0
−2
−2
−3
−3
−4
−4
−5
−5
−6
−6
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-2-
Worksheet by Kuta Software LLC
DATE
NAME
5-5
Student Edition
Pages 287–294
Practice
Functions
Determine whether each relation is a function.
1.
2.
y
3
2
2
2
1
1
1
1
2 3 x
–3 –2 –1O
–1
–2
–3
5.
y
–3 –2 –1
y
3
–3 –2 –1O
–1
–2
–3
4.
3.
y
3
1
2 3 x
–3 –2 –1O
–1
–2
–3
6.
y
3
3
2
2
2
1
1
1
1
–1
2 3 x
–3 –2 –1O
–1
–2
–3
–2
–3
1
2 3 x
2 3 x
1
2 3 x
y
3
O
1
–3 –2 –1O
–1
–2
–3
8. {(1, 4), (2, 3), (3, 26), (23, 6)}
7. {(2, 4), (3, 5), (4, 6), (5, 8)}
9. {(1, 5), (1, 7), (1, 25), (1, 27)}
10. {(0, 4), (1, 4), (2, 4), (3, 4)}
11. 2x 2 3y 5 4
12. xy 5 1
13. y 5 22
14. x2 5 y 1 1
15. x 5 3
16. x2 1 y2 5 4
If f(x) 5 2x 2 6 and g(x) 5 x 2 2x 2, find each value.
S 1D
17. f (2)
18. f 22
19. f (22.5)
20. g(21)
21. g(3)
22. g 23
© Glencoe/McGraw-Hill
S 1D
38
Algebra 1
DATE
NAME
5-6
Student Edition
Pages 295–302
Study Guide
Writing Equations From Patterns
You can find equations from relations. Suppose you purchased a
number of packages of blank cassette tapes. If each package
contained three tapes, you could make a chart to show the
relationship between the number of packages of blank cassette
tapes and the number of tapes purchased. Use x for the number
of packages and y for the number of tapes.
x
1
2
3
4
5
6
y
3
6
9
12
15
18
This relationship can also be shown as an equation. Since y is
always three times x, the equation is y 5 3x. Another way to
discover this relationship is to study the difference between
successive values of x and y.
11 { 11 { 11 { 11 { 11 { 11
x
1
2
3
4
5
6
y
3
6
9
12
15
18
13 N 13
N 13
13
N 13 N 13 N
This suggests the relation y 5 3x.
Write an equation for each relation. Then complete each chart.
1.
x
21
0
1
y
22
2
6
2
3
2.
4
y 5 4x 1 2
3.
x
y
24
23
5
9
2
4
x
22
21
0
y
10
7
4
1
2
3
3
4
5
y 5 23x 1 4
22
21
0
4.
1
2
{
x
0
y
3
1
2
12
9
5
5
( 5)}
5. (210, 25), (24, 22), (0, 0), (2, 1), 5,
2
6. {(23, 210), (21, 24), (0, 21), (2, 5), (4, 11)}
© Glencoe/McGraw-Hill
39
Algebra 1
Answers to Practice Quiz 8b - Graphing Linear Equations (ID: 1)
1)
2)
−6
−4
3)
6
6
6
4
4
4
2
2
2
−2 0
−2
2
4
6
−6
−4
−2 0
−2
2
4
6
−2 0
−2
−4
−4
−6
−6
−6
5)
−4
−4
−4
4)
−6
−6
6
6
4
4
4
2
2
2
2
4
6
−6
−4
−2 0
−2
2
4
6
−6
−4
−2 0
−2
−4
−4
−4
−6
−6
−6
7)
4
6
2
4
6
6)
6
−2 0
−2
2
8)
−6
−4
6
6
4
4
2
2
−2 0
−2
2
4
6
−6
−4
−2 0
−2
−4
−4
−6
−6
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2
4
-3-
6
Worksheet by Kuta Software LLC
DATE
NAME
5-5
Student Edition
Pages 287–294
Practice
Functions
Determine whether each relation is a function.
1.
yes 2.
y
2
2
2
1
1
1
1
2 3 x
–3 –2 –1O
–1
–2
–3
yes 5.
1
2 3 x
–3 –2 –1O
–1
–2
–3
no
y
6.
3
3
2
2
2
1
1
1
1
–1
2 3 x
–2
–3
–3 –2 –1O
–1
–2
–3
1
2 3 x
1
2 3 x
yes
y
3
O
no
y
3
y
–3 –2 –1
3.
3
–3 –2 –1O
–1
–2
–3
4.
no
y
3
–3 –2 –1O
–1
–2
–3
1
2 3 x
8. {(1, 4), (2, 3), (3, 26), (23, 6)} yes
7. {(2, 4), (3, 5), (4, 6), (5, 8)} yes
9. {(1, 5), (1, 7), (1, 25), (1, 27)} no
10. {(0, 4), (1, 4), (2, 4), (3, 4)} yes
11. 2x 2 3y 5 4 yes
12. xy 5 1 yes
13. y 5 22 yes
14. x2 5 y 1 1 yes
15. x 5 3 no
16. x2 1 y2 5 4 no
If f(x) 5 2x 2 6 and g(x) 5 x 2 2x 2, find each value.
S 1D
17. f (2) 22
18. f 22
20. g(21) 23
21. g(3) 215
© Glencoe/McGraw-Hill
27
T38
19. f (22.5) 211
S 1D
22. g 23
5
29
Algebra 1
DATE
NAME
5-6
Student Edition
Pages 295–302
Study Guide
Writing Equations From Patterns
You can find equations from relations. Suppose you purchased a
number of packages of blank cassette tapes. If each package
contained three tapes, you could make a chart to show the
relationship between the number of packages of blank cassette
tapes and the number of tapes purchased. Use x for the number
of packages and y for the number of tapes.
x
1
2
3
4
5
6
y
3
6
9
12
15
18
This relationship can also be shown as an equation. Since y is
always three times x, the equation is y 5 3x. Another way to
discover this relationship is to study the difference between
successive values of x and y.
11 { 11 { 11 { 11 { 11 { 11
x
1
2
3
4
5
6
y
3
6
9
12
15
18
13 N 13
N 13
13
N 13 N 13 N
This suggests the relation y 5 3x.
Write an equation for each relation. Then complete each chart.
1.
x
21
0
1
2
y
22
2
6
10 14 18
3
2.
4
y 5 4x 1 2
3.
x
y
24
23
5
9
2
4
x
22
21
0
1
y
10
7
4
1 22 25
2
3
y 5 23x 1 4
22
21
7
4
2
1
4
y52 x11
{
0
3
2
4.
1
5
4
1
2
x
0
y
3
1
2
12
9
5
5
3
6
5
4
3
5
5
0
3
5
y52 x13
( 5)} y 5 12 x
5. (210, 25), (24, 22), (0, 0), (2, 1), 5, 2
6. {(23, 210), (21, 24), (0, 21), (2, 5), (4, 11)} y 5 3x 2 1
© Glencoe/McGraw-Hill
T39
Algebra 1