Download Algebra 1 Final Exam Term 4 Answer Section

Algebra 1 Final Exam Term 4
Multiple Choice
Identify the choice that best completes the statement or answers the question.
1. Which graph is the most appropriate to describe a quantity decreasing at a steady rate?
a.
c.
b.
d.
2. The graph below shows how the cost of gasoline changes over one month. According to the graph, the cost of
gasoline ________ decreases.
Cost
Time
a. always
3. Evaluate
a. –9
Graph the function.
b. sometimes
for x = –3.
b. –4
c. never
c. –8
d. 4
4.
a.
c.
y
–4
4
4
2
2
–2
2
4
–4
x
–2
–2
–2
–4
–4
b.
d.
y
–4
y
4
2
2
2
4
–4
x
–2
–2
–2
–4
–4
Write a function rule for the table.
5.
x
3
4
5
6
a.
f(x)
7
8
9
10
b.
c.
6. A snail travels at a rate of 2.37 feet per minute.
a. Write a rule to describe the function.
b. How far will the snail travel in 6 minutes?
a.
c.
; 14.22 ft
4
x
2
4
x
y
4
–2
2
d.
; 8.37 ft
b.
; 14.22 ft
d.
; 2.53 ft
7. A zucchini plant in Darnell’s garden was 10 centimeters tall when it was first planted. Since then, it has
grown approximately 0.5 centimeter per day.
a. Write a rule to describe the function.
b. After how many days will the zucchini plant be 0.185 meter tall?
a.
c.
; 17 days
; 4 days
b.
; 1.1 days
d.
; 37 days
8. The total cost of gasoline varies directly with the number of gallons purchased. Gas costs $1.89 per gallon.
Write a direct variation to model the total cost c for g gallons of gas.
a.
b.
c.
d.
9. The amount of a person’s paycheck p varies directly with the number of hours worked t. For 16 hours of
work, the paycheck is $124.00. Write an equation for the relationship between hours of work and pay.
a.
b.
c.
d.
Find the common difference of the arithmetic sequence.
8 7 2
10. 2, 1 , 1 , 1 , . . .
9 9 3
a.
1

9
b. 9
c.
1
9
d. 9
Find the rate of change for the situation.
11. A chef cooks 9 lbs of chicken for 36 people and 17 lbs of chicken for 68 people.
a.
c.
lb per person
lb per person
b. 4 lb per person
d. 36 people
12. You run 7 miles in one hour and 21 miles in three hours.
a. 3 miles per hour
c. 7 miles
b. 3 hours
d. 7 miles per hour
Find the slope and y-intercept of the line.
13.
4
x–3
3
a.
4
3;
3
y=
b.
–3;
c.
4
3
d.
3
;3
4
4
; –3
3
Match the equation with its graph.
14. –7x + 7y = –49
a.
–10 –8
–6
–4
10
10
8
8
6
6
4
4
2
2
–2
–2
4
6
8
10
–4
–6
–4
–2
–2
–6
–6
–8
–8
–10
–10
y
–6
–10 –8
x
–4
10
8
8
6
6
4
4
2
2
–2
–2
2
4
6
8
10
x
2
4
6
8
10
x
2
4
6
8
10
x
y
d.
10
–10 –8
–6
–4
–2
–2
–4
–4
–6
–6
–8
–8
–10
–10
Graph the equation.
15. y = –3
2
–4
b.
–10 –8
y
c.
y
y
a.
–5
–4
–3
–2
5
5
4
4
3
3
2
2
1
1
–1
–1
1
2
3
4
5
x
–3
–2
–4
–3
–2
–1
–1
–2
–3
–3
–4
–4
–5
–5
y
–4
–5
–2
b.
–5
y
c.
5
4
4
3
3
2
2
1
1
1
2
3
4
5
x
2
3
4
5
x
1
2
3
4
5
x
y
d.
5
–1
–1
1
–5
–4
–3
–2
–1
–1
–2
–2
–3
–3
–4
–4
–5
–5
Write an equation in point-slope form for the line through the given point with the given slope.
16. (10, –9); m = 2
a. y – 10 = 2(x + 9)
b. y – 9 = 2(x + 10)
c. y – 9 = 2(x – 10)
d. y + 9 = 2(x – 10)
17. Which graph shows the best trend line for the following data?
a.
c.
Violin Competition
60
54
54
48
48
42
42
36
36
Score
Score
Violin Competition
60
30
30
24
24
18
18
12
12
6
6
2
4
6
8
10
12
14
16
18
20
2
4
Practice (weeks)
b.
d.
54
54
48
48
42
42
36
36
30
24
18
18
12
12
6
6
8
10
12
12
14
16
18
20
16
18
20
30
24
6
10
Violin Competition
60
Score
Score
Violin Competition
4
8
Practice (weeks)
60
2
6
14
16
18
20
2
4
Practice (weeks)
6
8
10
12
14
Practice (weeks)
Graph each equation by translating y = | x |.
18. y = | x + 2 |
a.
–10 –8
y
–6
–4
y
c.
10
10
8
8
6
6
4
4
2
2
–2
–2
2
4
6
8
10
x
–10 –8
–6
–4
–2
–2
–4
–4
–6
–6
–8
–8
–10
–10
2
4
6
8
10
x
y
b.
–10 –8
–6
–4
y
d.
10
10
8
8
6
6
4
4
2
2
–2
–2
2
4
6
8
10
x
–10 –8
–6
–4
–2
–2
–4
–4
–6
–6
–8
–8
–10
–10
19. Which graph represents the following system of equations?
y = 3x + 3
y = –x – 3
y
a.
c.
–4
–2
4
2
2
2
4
x
O
–2
–4
–4
y
–2
–2
–2
b.
–4
–4
4
2
2
2
4
x
6
8
10
x
2
4
x
2
4
x
y
d.
4
O
4
y
4
O
2
–4
–2
O
–2
–2
–4
–4
20. What is the solution of the system of equations?
y = 3x + 7
y=x–9
a. (–1, –10)
b. (–17, –8)
c. (4, 19)
d. (–8, –17)
Graph each system. Tell whether the system has no solution, one solution, or infinitely many solutions.
21. y = 2x – 3
y = –x + 3
a. one solution
b. no solutions
c. infinitely many solutions
Solve the system of equations using substitution.
22. 3y = – x + 2
y = –x + 9
a. (3, 6)
b. (20, –4)
c. (10, –1)
d. (–1, 8)
c. (–2, 8)
d. (–10, 16)
Solve the system using elimination.
23. 6x + 3y = –12
6x + 2y = –4
a. (10, –16)
b. (2, –8)
Simplify the expression.
24.
a.
b. 16
c.
d. –8
a.
b.
c.
d.
25.
26.
a.
b.
c.
d.
a.
b.
c.
d.
28. Write
a. 0.4
as a decimal.
b. 0.004
c. –120
d. 4,000
27.
29. Which number is written in scientific notation?
a.
b.
c.
d.
Write the number in scientific notation.
30. 0.0805
a.
b.
c.
d.
c. 90,000
d. 360
Write the number in standard notation.
31.
a. 9,000
b.
32. Suppose an investment of $6,600 doubles in value every 8 years. How much is the investment worth after 40
years?
a. $211,200
c. $66,000
b. $105,600
d. $528,000
Match the table with the function that models the data.
33.
x
y
1
4
2
16
3
64
4
256
a.
b.
c.
The rate of change is constant in each table. Find the rate of change. Explain what the rate of change
means for the situation.
34.
Time (days)
a.
b.
c.
d.
Cost ($)
3
75
4
100
5
125
6
150
dollars per day; the cost is $25 for each day.
dollars per day; the cost is $25 for each day.
dollars per day; the cost is $75 for each day.
dollars per day; the costs $1 for 150 days
35.
Time (hours)
Distance (miles)
4
260
6
390
8
520
650
10
a. 10; Your car travels for 10 hours.
b. 260; Your car travels 260 miles.
c.
; Your car travels 65 miles every 1 hour.
d.
; Your car travels 65 miles every 1 hour.
The rate of change is constant in the graph. Find the rate of change. Explain what the rate of change
means for the situation.
36.
Resale Value of a Refrigerator
600
Amounts ($)
500
400
300
200
100
3
6
9
12
15
18
Years after original purchase
a. –100; value drops $100 every year.
b.
; value drops $100 every 3 years.
c. –3; value drops $3 every year.
d. –1; value drops $1 every year.
Find the slope of the line.
37.
y
5
4
3
2
1
–5
–4
–3
–2
–1
–1
1
2
3
4
5
x
–2
–3
–4
–5
a.

1
4
b.
1
4
c.
4
d. 4
y
38.
5
4
3
2
1
–5
–4
–3
–2
–1
–1
1
2
3
4
5
x
–2
–3
–4
–5
a.
–
1
3
b.
3
c.
3
d.
1
3
d.
2
3
Find the slope of the line that passes through the pair of points.
39. (1, 7), (10, 1)
a. 3
2
b.

40. (–5.5, 6.1), (–2.5, 3.1)
a. –1
b. 1
2
3
c.

3
2
c. –1
d. 1
41. A student finds the slope of the line between (14, 1) and (18, 17). She writes
. What mistake did she
make?
a. She should have added the values, not subtracted them.
b. She used y-values where she should have used x-values.
c. She mixed up the x- and y-values.
d. She did not keep the order of the points the same in the numerator and the denominator.
42.
Plant Growth
8
7
6
Height (in.)
5
4
3
2
1
1
2
3
4
5
6
Time (Weeks)
Use the graph.
a. Which plant was the tallest at the beginning?
b. Which plant had the greatest rate of change over the 6 weeks?
a. plant 2; plant 2
b. plant 1; plant 3
c. plant 3; plant 1
d. plant 3; plant 3
Write an equation of a line with the given slope and y-intercept.
43. m = 1, b = 4
a. y = 4x + 1
b. y = x – 4
1
3
,b= 
4
4
a.
3
y = 4x –
4
b.
1
3
y= x–
4
4
c. y = –1x + 4
d. y = x + 4
44. m =
c.
3
1
y=  x+
4
4
d.
1
3
y= x+
4
4
Write the slope-intercept form of the equation for the line.
45.
y
5
4
3
2
1
–5
–4
–3
–2
–1
–1
1
2
3
4
5
x
–2
–3
–4
–5
a. y = 3x  1
c.
1
x 1
3
d.
1
y= x 1
3
b. y = 3x  1
46.
y=
y
5
4
3
2
1
–5
–4
–3
–2
–1
–1
1
2
3
4
5
x
–2
–3
–4
–5
a.
10
1
x
3
2
b.
3
1
y=
x
10
2
y= 
c.
3
1
x
10
2
d.
1
3
y= x+
2
10
47. Use the slope and y-intercept to graph the equation.
3
y= x–3
4
y= 
y
a.
–5
–4
–3
–2
5
5
4
4
3
3
2
2
1
1
–1
–1
1
2
3
4
5
x
–3
–2
–4
–3
–2
–1
–1
–2
–3
–3
–4
–4
–5
–5
y
–4
–5
–2
b.
–5
y
c.
5
4
4
3
3
2
2
1
1
1
2
3
4
5
x
2
3
4
5
x
1
2
3
4
5
x
y
d.
5
–1
–1
1
–5
–4
–3
–2
–1
–1
–2
–2
–3
–3
–4
–4
–5
–5
Algebra 1 Final Exam Term 4
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
ANS: C
PTS: 1
NAT: NAEP 2005 A2a | NAEP 2005 A2c | ADP J.4.8
ANS: B
PTS: 1
NAT: NAEP 2005 A2a | NAEP 2005 A2c | ADP J.4.8
ANS: C
PTS: 1
NAT: NAEP 2005 A1g | ADP J.2.1 | ADP J.2.3
ANS: A
PTS: 1
NAT: NAEP 2005 A1e | NAEP 2005 A2a | ADP J.2.3 | ADP L.1.1
ANS: C
PTS: 1
NAT: NAEP 2005 A1e | NAEP 2005 A3a
ANS: B
PTS: 1
NAT: NAEP 2005 A1e | NAEP 2005 A3a
ANS: A
PTS: 1
NAT: NAEP 2005 A1e | NAEP 2005 A3a
ANS: C
PTS: 1
NAT: NAEP 2005 A2a | NAEP 2005 A2b | ADP I.1.2
ANS: C
PTS: 1
NAT: NAEP 2005 A2a | NAEP 2005 A2b | ADP I.1.2
ANS: A
PTS: 1
NAT: NAEP 2005 A1a | NAEP 2005 A1b
ANS: C
PTS: 1
NAT: NAEP 2005 A2a | NAEP 2005 A2b | ADP J.4.1 | ADP K.10.1
ANS: D
PTS: 1
NAT: NAEP 2005 A2a | NAEP 2005 A2b | ADP J.4.1 | ADP K.10.1
ANS: D
PTS: 1
NAT: NAEP 2005 A1h | ADP J.4.1 | ADP J.4.2 | ADP K.10.2
ANS: A
PTS: 1
NAT: NAEP 2005 A1h | ADP J.4.1 | ADP J.4.2 | ADP K.10.2
ANS: C
PTS: 1
NAT: NAEP 2005 A1h | ADP J.4.1 | ADP J.4.2 | ADP K.10.2
ANS: D
PTS: 1
NAT: NAEP 2005 A1h | NAEP 2005 A1i | NAEP 2005 A2a | NAEP 2005 A2b | NAEP 2005 A3a | ADP
J.4.1 | ADP J.4.2 | ADP K.10.1 | ADP K.10.2
ANS: C
PTS: 1
NAT: NAEP 2005 D2e | NAEP 2005 D2g | NAEP 2005 A2c | NAEP 2005 A2f | ADP I.4.2 | ADP J.4.8 |
ADP K.10.2 | ADP L.1.1 | ADP L.1.2 | ADP L.1.5 | ADP L.3.4
ANS: A
PTS: 1
NAT: NAEP 2005 A2d | ADP K.6
ANS: D
PTS: 1
NAT: NAEP 2005 A4d | NAEP 2005 A4g | ADP J.3.3 | ADP J.4.3 | ADP J.5.2
ANS: D
PTS: 1
NAT: NAEP 2005 A4d | NAEP 2005 A4g | ADP J.3.3 | ADP J.4.3 | ADP J.5.2
ANS: A
PTS: 1
NAT: NAEP 2005 A4d | NAEP 2005 A4g | ADP J.3.3 | ADP J.4.3 | ADP J.5.2
ANS: C
PTS: 1
NAT: NAEP 2005 A4g | ADP J.3.3 | ADP J.5.2
ANS: B
PTS: 1
NAT: NAEP 2005 A4g | ADP J.3.3 | ADP J.5.2
ANS: C
PTS: 1
NAT: ADP J.1.1 | ADP J.1.6
ANS: C
PTS: 1
NAT: ADP J.1.1 | ADP J.1.6
ANS: D
PTS: 1
NAT: ADP I.1.5 | ADP J.1.1
ANS: D
PTS: 1
NAT: ADP I.1.5 | ADP I.2.2 | ADP J.1.1
ANS: B
PTS: 1
NAT: ADP J.1.1 | ADP J.1.6
ANS: A
PTS: 1
NAT: NAEP 2005 N1d | NAEP 2005 N1f | ADP I.1.5 | ADP I.2.2
ANS: D
PTS: 1
NAT: NAEP 2005 N1d | NAEP 2005 N1f | ADP I.1.5 | ADP I.2.2
31. ANS:
NAT:
32. ANS:
33. ANS:
34. ANS:
NAT:
35. ANS:
NAT:
36. ANS:
NAT:
37. ANS:
NAT:
38. ANS:
NAT:
39. ANS:
NAT:
40. ANS:
NAT:
41. ANS:
NAT:
42. ANS:
NAT:
43. ANS:
44. ANS:
45. ANS:
46. ANS:
47. ANS:
C
PTS: 1
NAEP 2005 N1d | NAEP 2005 N1f | ADP I.1.5 | ADP I.2.2
A
PTS: 1
NAT: NAEP 2005 A1e | ADP J.2.3 | ADP J.4.7 | ADP J.5.4
C
PTS: 1
NAT: NAEP 2005 A1e | ADP J.2.3 | ADP J.4.7 | ADP J.5.4
A
PTS: 1
NAEP 2005 A2a | NAEP 2005 A2b | ADP J.4.1 | ADP K.10.1
C
PTS: 1
NAEP 2005 A2a | NAEP 2005 A2b | ADP J.4.1 | ADP K.10.1
B
PTS: 1
NAEP 2005 A2a | NAEP 2005 A2b | ADP J.4.1 | ADP K.10.1
A
PTS: 1
NAEP 2005 A2a | NAEP 2005 A2b | ADP J.4.1 | ADP K.10.1
D
PTS: 1
NAEP 2005 A2a | NAEP 2005 A2b | ADP J.4.1 | ADP K.10.1
B
PTS: 1
NAEP 2005 A2a | NAEP 2005 A2b | ADP J.4.1 | ADP K.10.1
A
PTS: 1
NAEP 2005 A2a | NAEP 2005 A2b | ADP J.4.1 | ADP K.10.1
D
PTS: 1
NAEP 2005 A2a | NAEP 2005 A2b | ADP J.4.1 | ADP K.10.1
D
PTS: 1
NAEP 2005 A2a | NAEP 2005 A2b | ADP J.4.1 | ADP K.10.1
D
PTS: 1
NAT: NAEP 2005 A1h | ADP J.4.1 | ADP J.4.2 | ADP K.10.2
B
PTS: 1
NAT: NAEP 2005 A1h | ADP J.4.1 | ADP J.4.2 | ADP K.10.2
A
PTS: 1
NAT: NAEP 2005 A1h | ADP J.4.1 | ADP J.4.2 | ADP K.10.2
C
PTS: 1
NAT: NAEP 2005 A1h | ADP J.4.1 | ADP J.4.2 | ADP K.10.2
D
PTS: 1
NAT: NAEP 2005 A1h | ADP J.4.1 | ADP J.4.2 | ADP K.10.2