Download Final Exam Review

Final Exam Unit 5-Unit 10
Multiple Choice
Identify the choice that best completes the statement or answers the question.
What is the graph of the inequality in the coordinate plane?
____
1.
a.
c.
y
y
4
4
–4
4
–4
x
–4
b.
x
4
x
–4
d.
y
y
4
4
–4
4
–4
x
–4
____
4
–4
2. The ordered pairs (1, 1), (2, 4), (3, 9), (4, 16), and (5, 25) represent a function. What is a rule that represents
this function?
a.
b.
c.
d.
Questions 19 & 20
The table shows the relationship between the number of sports teams a person belongs to and the
amount of free time the person has per week.
Number of Sports
Teams
0
1
Free Time
(hours)
45
39
2
3
3. What is the graph for the above relationship?
a.
50
c.
50
45
45
40
40
35
35
Free Time (hr)
Free Time (hr)
____
33
27
30
25
20
30
25
20
15
15
10
10
5
5
1
2
3
4
5
1
Number of Sports Teams
b.
d.
45
45
40
40
35
35
30
25
20
20
10
10
5
5
4
5
1
Number of Sports Teams
____
2
3
4
Number of Sports Teams
4. Is the above relationship a linear function?
a. yes
5
25
15
3
4
30
15
2
3
50
Free Time (hr)
Free Time (hr)
50
1
2
Number of Sports Teams
b. no
What type of relationship does the scatter plot show?
5
____
5.
20
y
18
16
14
12
10
8
6
4
2
1
____
____
2
3
4
5
6
7
8
9
x
a. positive correlation
b. negative correlation
c. no correlation
6. In a word game, you choose a tile from a bag, replace it, and then choose another. If there are 20 vowels and
12 consonants, what is the probability you will choose a consonant and then a vowel?
a. 1
b. 15
c. 15
d. 15
32
4
2
64
7. A basket contains 10 pieces of fruit: 5 apples, 3 oranges, and 2 bananas. Jonas takes a piece of fruit at random
from the basket, and then Beth takes a piece at random. What is the probability that Jonas will get an orange
and Beth will get an apple?
a. 8
b. 4
c. 1
d. 3
9
5
6
20
Short Answer
.
1. KEYSTONE QUESTION
The rate of change is constant in the table. Find the rate of change. Explain what the rate of change
means for the situation.
The table shows the number of miles driven over time.
Time (hours)
Distance (miles)
4
244
6
366
8
488
610
10
What is the solution of the system? Show work.
2. x = –10 + 3y
12y = 39 + 3x
.
3.
Solve the equations. Use a graph
4. y = –2x – 2
y + 2 = –2x
y
10
9
8
7
6
5
4
3
2
1
–10 –9 –8 –7 –6 –5 –4 –3 –2 –1
–1
1
2
3
4
5
6
7
8
9
x
–2
–3
–4
–5
–6
–7
–8
–9
–10
What are the solutions of the inequality?
5.
.
What are the solutions of the compound inequality? Graph the solutions.
6. 9x – 9 < –18 or 2x + 6 > 10
.
Write an inequality that represents the graph?
7.
y
4
O
–4
4
x
–4
8. KEYSTONE QUESTION
You have $39 to spend on music and movie downloads. Each album download costs $8 and each movie
download costs $9. Write and graph a linear inequality that represents this situation. Let x represent the
number of albums and y the number of movies.
9. Identify the domain and range, plot the points, and determine if the relation is or is not a function.
y
6
5
4
3
2
1
–6
–5
–4
–3
–2
–1
–1
–2
–3
–4
–5
–6
1
2
3
4
5
6
x
Domain:___________________________
Range:_____________________________
Function:___________________________
10. Elaine has a business repairing home computers. She charges a base fee of $45 for each visit and $30 per hour
for her labor. The total cost C for a home visit and x hours of labor is modeled by the function rule
. Use the function rule to make a table of values and a graph.
x
C
0
1
2
3
C
x
Write an equation of a line with the given slope and y-intercept.
11. m = 4.7, b = 1.9
Write the slope-intercept form of the equation for the line.
12.
y
5
4
3
2
1
–5
–4
–3
–2
–1
–1
1
2
3
4
5
x
–2
–3
–4
–5
What equation in slope intercept form represents the line that passes through the two points?
13. (–7.4, 7.6), (–5.4, 11.6)
Find the x- and y-intercept of the line.
14. 7x – 5y = 105
15. Tom has a collection of 30 CDs and Nita has a collection of 10 CDs. Tom is adding 3 CDs a month to his
collection while Nita is adding 7 CDs a month to her collection. Find the number of months after which they
will have the same number of CDs.
16. A corner store sells two kinds of baked goods: cakes and pies. A cake costs $8 and a pie costs $14. In one
day, the store sold 13 baked goods for a total of $134. How many cakes did they sell?
17. The school cafeteria sells two kinds of wraps: vegetarian and chicken. The vegetarian wrap costs $1.00 and
the chicken wrap costs $2.10. Today they made $169.20 from the 123 wraps sold. How many of the wraps
sold were vegetarian?
What inequality represents the graph?
18.
–5
–4
–3
–2
–1
0
1
2
3
4
5
19. Let t = the amount Thomas earned. Thomas earned $99 or more.
20. –4x < –16
21. A student scored 77 and 99 on her first two quizzes. Write and solve a compound inequality to find the
possible values for a third quiz score that would give her an average between 85 and 90, inclusive.
Which ordered pair is a solution of the inequality?
22.
Describe a pattern in each sequence. What are the next two terms of each sequence?
23. 15, 14, 13, 12, . . .
y
24.
5
4
3
2
1
–5
–4
–3
–2
–1
–1
1
2
3
4
5
x
–2
–3
–4
–5
Find the mean, median, and mode of the data set. Round to the nearest tenth.
25. 8, 15, 7, 1, 15, 13, 9, 5, 14, 4, 12
26. A drug trial is testing the effectiveness of two drugs. If 100 patients are given Drug A, 80 patients are given
Drug B, and 40 patients are given a placebo, what is the probability that a patient will NOT be given a
placebo?
27. In a batch of 960 calculators, 12 were found to be defective. What is the probability that a calculator chosen at
random will be defective? Write the probability as a percent. Round to the nearest tenth of a percent if
necessary.
Final Exam Unit 5-Unit 10
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
7.
A
C
B
A
A
D
C
SHORT ANSWER
1.
; Your car travels 61 miles every 1 hour.
2. (–1, 3)
3. (4, 7)
y
4
4.
–4
4
x
–4
infinitely many solutions
5.
6. x < –1 or x > 2
–5
7.
8.
–4
–3
–2
–1
0
1
2
3
4
5
y
5
Movies
4
3
2
1
0
0
1
2
3 4 5
Albums
6
7 x
9. The relation is not a function.
10.
x
C
0
45
1
75
2
105
3
135
C
280
240
200
160
120
80
40
1
2
3
4
11. y = 4.7x + 1.9
3
12. y = x  1
4
13. y = 2x + 22.4
14. x-intercept is 15; y-intercept is –21
15. 5 months
16. 8 cakes
17. 81 wraps
7
18. m 
2
19.
5
6 x
20. x > 4
–16
–12
–8
–4
0
4
8
12
16
21.
22.
23.
24.
25.
(3, 6)
subtract 1 from the previous term; 11, 10
0
mean = 9.4, median = 9, mode = 15
9
26.
11
27. 1.3%