Download Test was returned to students on December 13

Algebra 1 Chapter 4 Test
Write an equation of the line with the given slope and y-intercept.
____
____
1. slope: –3
y-intercept: –6
a.
b.
c.
d.
2. slope:
y-intercept: –1
a.
c.
b.
d.
Write an equation of the line in slope-intercept form.
____
3.
y
10
8
6
(–8, 3)
–10 –8
–6
–4
4
2
–2
–2
–4
–6
2
4
6
8
10
x
(0, –5)
–8
–10
a.
b.
c.
d.
____
4.
y
5
(–4, 4)
4
3
(0, 4)
2
1
–5
–4
–3
–2
–1
–1
1
2
3
4
5
x
–2
–3
–4
–5
a.
b.
____
c.
d.
5.
y
5
4
3
2
1
–5
–4
–3
–2
–1
–1
–2
(0, 0)
1
2
3
4
5
x
(4, –2)
–3
–4
–5
a. y = 2x
b. y = 2x – 2
c.
1
y=  x
2
d.
1
y=  x+2
2
Write an equation of the line that passes through the given points.
____
____
6. (–5, –1), (0, –1)
a. y = –5
b.
2
y= x+ 1
5
c. y = –1
d.
5
23
y= x+
2
2
7. (2, 3), (0, –1)
a. y = 3x – 3
c.
b. y = 2x – 1
1
7
x+
3
3
d. y = 2
y=
____
8. Write a linear function f with the values
a.
.
c.
b.
____
d.
9. Write a linear function f with the values
a.
b.
.
c.
d.
Write an equation in point-slope form of the line that passes through the given point and has the given
slope.
____ 10. (–3, 2); m = –3
a.
b.
c.
d.
____ 11. (16, –4); m = –
a.
c.
b.
d.
Write an equation in slope-intercept form of the line shown.
y
____ 12.
6
4
(2, 4)
2
–6
–4
–2
(3, 2)
2
4
6
x
–2
–4
–6
a. y = 2x + 8
b.
1
y= x+ 8
2
____ 13. Write a linear function f with the values
a.
5
13
f(x) = x –
3
3
c. y = 2x – 8
d. y = 2x – 8
.
c.
f(x) =
13
5
x–
3
3
b. f(x) = 2x – 1
d.
____ 14. Write a linear function f with the values
a.
b.
3
f(x) = x + 1
5
.
c. f(x) = –6x + 10
d. f(x) = x – 10
____ 15. Write an equation of the line that passes through the given point and is parallel to the given line.
3
(4, 5); y =  x + 3
2
a.
c.
3
y= x–1
2
b.
3
y= x+3
2
3
y =  x + 11
2
d.
3
y = x + 11
2
____ 16. Write an equation of the line that passes through the given point and is perpendicular to the given line.
1
(–6, –4); y = x + 1
3
c. y = 3x + 14
a.
1
y= x+1
3
b.
1
y = x – 22
3
d. y = 3x – 22
____ 17. The city council members of a small coastal town want to construct a new boardwalk along the beach. They
want the boardwalk (shown in bold) to be perpendicular to the road leading to the beach. Write an equation
that represents the boardwalk.
y
8
4
–8
(4, 4)
–4
4
–4
8
x
(0, –4)
–8
a.
b.

1
2
c.
d.
–2
Tell whether x and y show a positive, a negative, or no correlation.
____ 18.
50
y
45
40
35
30
25
20
15
10
5
5
10
15
20
25
30
35
40
45
50
x
15
20
25
30
35
40
45
50
x
a. positive
b. negative
c. no
____ 19.
50
y
45
40
35
30
25
20
15
10
5
5
10
a. no
b. positive
c. negative
Write the next three terms of the arithmetic sequence.
____ 20. 19, 11, 3, –5, ...
a. –13, –21, –29
b. –12, –19, –26
c. 3, 11, 19
d. –13, –20, –26
Write an equation for the nth term of the arithmetic sequence. Then find a10.
____ 21. –2, 5, 12, 19, ...
a.
; a10 = 79
b.
; a10 = 54
c.
d.
____ 22. 13, 9, 5, 1, ...
a.
c.
; a10 = –57
; a10 = 61
; a10 = 68
; a10 = –19
; a10 = –23
b.
; a10 = –27
d.
Graph the function. Describe the domain and range.
____ 23.
a. Domain:
Range: all real numbers
5
c. Domain: all real numbers
Range:
y
–5
5
5 x
–5
–5
5 x
–5
b. Domain:
Range: all real numbers
5
y
d. Domain: all real numbers
Range:
y
–5
5
5 x
–5
y
–5
5 x
–5
____ 24.
a. Domain: all real numbers
Range:
c. Domain: all real numbers
Range:
5
y
5
–5
5 x
–5
5 x
–5
–5
b. Domain: all real numbers
Range:
5
y
d. Domain: all real numbers
Range:
y
5
–5
5 x
y
–5
5 x
–5
–5
____ 25.
a. Domain: all real numbers
Range:
c. Domain: all real numbers
Range:
y
–8
y
8
8
4
4
–4
4
8
x
–8
–4
4
–4
–4
–8
–8
b. Domain: all real numbers
d. Domain: all real numbers
8
x
Range:
Range:
y
–8
y
8
8
4
4
–4
4
8
x
–8
–4
4
–4
–4
–8
–8
8
x
Algebra 1 Chapter 4 Test
Answer Section
1. ANS:
NAT:
KEY:
2. ANS:
NAT:
KEY:
3. ANS:
NAT:
KEY:
NOT:
4. ANS:
NAT:
KEY:
NOT:
5. ANS:
NAT:
KEY:
NOT:
6. ANS:
NAT:
KEY:
NOT:
7. ANS:
NAT:
KEY:
NOT:
8. ANS:
NAT:
KEY:
9. ANS:
NAT:
KEY:
10. ANS:
NAT:
KEY:
NOT:
11. ANS:
NAT:
KEY:
NOT:
12. ANS:
NAT:
KEY:
NOT:
13. ANS:
NAT:
D
PTS: 1
DIF: Level 1
REF: Algebra 1 Sec. 4.1
HSA-CED.A.2 | HSF-BF.A.1a | HSF-LE.A.2
writing equations | slope | y-intercept | equation
NOT: Example 1
B
PTS: 1
DIF: Level 1
REF: Algebra 1 Sec. 4.1
HSA-CED.A.2 | HSF-BF.A.1a | HSF-LE.A.2
writing equations | slope | y-intercept | equation
NOT: Example 1
B
PTS: 1
DIF: Level 1
REF: Algebra 1 Sec. 4.1
HSA-CED.A.2 | HSF-BF.A.1a | HSF-LE.A.2
writing equations | linear equation in two variables | slope-intercept form | equation
Example 2
B
PTS: 1
DIF: Level 1
REF: Algebra 1 Sec. 4.1
HSA-CED.A.2 | HSF-BF.A.1a | HSF-LE.A.2
writing equations | linear equation in two variables | slope-intercept form | equation
Example 2
C
PTS: 1
DIF: Level 1
REF: Algebra 1 Sec. 4.1
HSA-CED.A.2 | HSF-BF.A.1a | HSF-LE.A.2
writing equations | linear equation in two variables | slope-intercept form | equation
Example 2
C
PTS: 1
DIF: Level 1
REF: Algebra 1 Sec. 4.1
HSA-CED.A.2 | HSF-BF.A.1a | HSF-LE.A.2
writing equations | linear equation in two variables | equation
Example 3
B
PTS: 1
DIF: Level 1
REF: Algebra 1 Sec. 4.1
HSA-CED.A.2 | HSF-BF.A.1a | HSF-LE.A.2
writing equations | linear equation in two variables | equation
Example 3
D
PTS: 1
DIF: Level 1
REF: Algebra 1 Sec. 4.1
HSA-CED.A.2 | HSF-BF.A.1a | HSF-LE.A.2
writing linear functions | linear function
NOT: Example 4
C
PTS: 1
DIF: Level 1
REF: Algebra 1 Sec. 4.1
HSA-CED.A.2 | HSF-BF.A.1a | HSF-LE.A.2
writing linear functions | linear function
NOT: Example 4
B
PTS: 1
DIF: Level 1
REF: Algebra 1 Sec. 4.2
HSA-CED.A.2 | HSF-BF.A.1a | HSF-LE.A.2
writing equations of lines using a slope and a point | point-slope form | writing equations | equation
Example 1
C
PTS: 1
DIF: Level 1
REF: Algebra 1 Sec. 4.2
HSA-CED.A.2 | HSF-BF.A.1a | HSF-LE.A.2
writing equations of lines using a slope and a point | point-slope form | writing equations | equation
Example 1
A
PTS: 1
DIF: Level 1
REF: Algebra 1 Sec. 4.2
HSA-CED.A.2 | HSF-BF.A.1a | HSF-LE.A.2
slope-intercept form | equation | writing equations of lines using two points | writing equations
Example 2
A
PTS: 1
DIF: Level 1
REF: Algebra 1 Sec. 4.2
HSA-CED.A.2 | HSF-BF.A.1a | HSF-LE.A.2
KEY:
14. ANS:
NAT:
KEY:
15. ANS:
NAT:
KEY:
NOT:
16. ANS:
NAT:
KEY:
NOT:
17. ANS:
NAT:
KEY:
18.
19.
20.
21.
22.
23.
24.
25.
writing linear functions | linear function
NOT: Example 3
A
PTS: 1
DIF: Level 1
REF: Algebra 1 Sec. 4.2
HSA-CED.A.2 | HSF-BF.A.1a | HSF-LE.A.2
writing linear functions | linear function
NOT: Example 3
C
PTS: 1
DIF: Level 1
REF: Algebra 1 Sec. 4.3
HSA-CED.A.2 | HSF-LE.A.2
parallel lines | writing equations of parallel lines | equation | writing equations
Example 2
D
PTS: 1
DIF: Level 1
REF: Algebra 1 Sec. 4.3
HSA-CED.A.2 | HSF-LE.A.2
perpendicular lines | writing equations | writing equations of perpendicular lines | equation
Example 4
A
PTS: 1
DIF: Level 1
REF: Algebra 1 Sec. 4.3
HSA-CED.A.2 | HSF-LE.A.2
application | perpendicular lines | writing equations of perpendicular lines | equation | writing equations
NOT:
Example 5-1
ANS: B
PTS: 1
DIF: Level 1
REF: Algebra 1 Sec. 4.4
NAT: HSF-LE.B.5 | HSS-ID.B.6a | HSS-ID.C.7
KEY: scatter plot | correlation | identifying correlations
NOT: Example 2
ANS: A
PTS: 1
DIF: Level 1
REF: Algebra 1 Sec. 4.4
NAT: HSF-LE.B.5 | HSS-ID.B.6a | HSS-ID.C.7
KEY: scatter plot | correlation | identifying correlations
NOT: Example 2
ANS: A
PTS: 1
DIF: Level 1
REF: Algebra 1 Sec. 4.6
NAT: HSF-IF.A.3
KEY: sequence | term of a sequence | arithmetic sequence | writing terms of arithmetic sequences | writing
sequences
NOT: Example 1
ANS: C
PTS: 1
DIF: Level 1
REF: Algebra 1 Sec. 4.6
NAT: HSF-IF.A.3 | HSF-BF.A.1a | HSF-BF.A.2 | HSF-LE.A.2
KEY: sequence | term of a sequence | arithmetic sequence | writing equations for arithmetic sequences
NOT: Example 4
ANS: B
PTS: 1
DIF: Level 1
REF: Algebra 1 Sec. 4.6
NAT: HSF-IF.A.3 | HSF-BF.A.1a | HSF-BF.A.2 | HSF-LE.A.2
KEY: sequence | term of a sequence | arithmetic sequence | writing equations for arithmetic sequences
NOT: Example 4
ANS: D
PTS: 1
DIF: Level 1
REF: Algebra 1 Sec. 4.7
NAT: HSA-CED.A.2 | HSA-REI.D.10 | HSF-IF.C.7b
KEY: piecewise function | graphing piecewise functions | domain | range of a function
NOT: Example 2
ANS: D
PTS: 1
DIF: Level 1
REF: Algebra 1 Sec. 4.7
NAT: HSA-CED.A.2 | HSA-REI.D.10 | HSF-IF.C.7b
KEY: piecewise function | graphing piecewise functions | domain | range of a function
NOT: Example 2
ANS: D
PTS: 1
DIF: Level 1
REF: Algebra 1 Sec. 4.7
NAT: HSA-CED.A.2 | HSA-REI.D.10 | HSF-IF.C.7b
KEY: piecewise function | graphing piecewise functions | domain | range of a function
NOT: Example 2