1. No category

Name: ______________________
Class: _________________
Date: _________
ID: A
ACP Semester 2 Review
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. An airplane flight has 228 seats. The probability that a person who buys a ticket actually goes on that
flight is about 95%. If the airline wants to fill all the seats on the flight, how many tickets should it sell?
A 217 tickets
C 345 tickets
B 2400 tickets
D 240 tickets
____
2. Yuan tossed a paper cup 40 times and recorded how the cup landed each time. He organized the results in
the table shown. Based on Yuan’s results, find the probability that the cup will land upside down.
Outcome
Right-side up
Upside down
On its side
Frequency
13
7
20
A
B
C
D
____
17.5%
82.5%
21.2%
571.4%
3. A spinner is divided into 3 equal sections labeled A, B, and C. Erik spins the spinner and rolls a fair
number cube. The tree diagram shows the sample space for the possible outcomes. Which of the
following statements is correct?
1
A
The probability of the spinner landing on B or rolling a 4 is
B
The probability of the spinner not landing on C and rolling a 3 is
C
The probability of the spinner landing on A or rolling a number greater than 2 is
D
The probability of the spinner not landing on A and rolling a prime number is
1
18
.
13
18
.
1
3
2
9
.
.
Name: ______________________
____
4. Find the area of the figure.
A
B
____
ID: A
450 mm2
67,500 mm2
5. Solve 8n – 4 = 52.
A n = 48
1
B n = 10 2
C
D
600 mm2
150 mm2
C
D
n=7
n=6
____
6. It takes 78 days to create a custom motorcycle. Write an algebraic expression to describe the number of
days it takes to create n custom motorcycles. How many days will it take to create 6 custom
motorcycles?
A 78 + n; 84 days
C 78n; 468 days
78
B 78 + 78n; 546 days
D n ; 13 days
____
7. Which is a solution to the equation 12a − 75 = 69?
A a=9
C a = 11
B a = 10
D a = 12
____
8. Tell whether the rectangles are similar. If so, write the similarity ratio and a similarity statement. The
measures of the corresponding angles are equal, and the opposite sides are equal.
3
5
A
similarity ratio:
B
C
rectangle MNOP ~ rectangle RSTU
The rectangles are not similar.
2
similarity ratio: 5
D
rectangle MNOP ~ rectangle RSTU
2
similarity ratio: 3
rectangle MNOP ~ rectangle RSTU
2
Name: ______________________
____
ID: A
9. Juan sees a maple tree and a pine tree in the forest. He knows that the pine tree is 21.61 feet tall. On a
sunny day, the shadow of the pine is 4.9 feet long while the maple’s shadow is 20.02 feet long. Estimate
the height of the maple tree.
A about 100 feet
C about 63 feet
B about 80 feet
D about 97 feet
____ 10. Dilate the figure by a scale factor of 1.5 with the origin as the center of dilation. What are the vertices
of the image?
A
B
J´(1.5, 6), K´(9, 6),
L´(9, 1.5), M´(1.5, 1.5)
J´(–1.5, –6), K´(–9, –6),
L´(–9, –1.5), M´(–1.5, –1.5)
C
D
J´(6, 1.5), K´(6, 9),
L´(1.5, 9), M´(1.5, 1.5)
J´(1.5, 6), K´(9, 6),
L´(6, 1), M´(1, 1)
____ 11. By what scale factor does the length of AB in the figure shown change under the dilation
ÊÁ 2
2 ˆ˜˜
Á
(x, y) → ÁÁÁÁ x, y ˜˜˜˜ ?
ÁË 3
3 ˜¯
A
B
C
D
2
3
1
3
2
2
3
Name: ______________________
ID: A
____ 12. A figure is dilated by a scale factor of 3. If the origin is the center of dilation, what is the image of a
vertex located at ÊÁË 3, 4 ˆ˜¯ ?
ÁÊ
1 ˜ˆ
A ÁÁÁÁ 1, 1 ˜˜˜˜
C ÊÁË 9, 4 ˆ˜¯
ÁË
2 ˜¯
B ÊÁË 3, 12 ˆ˜¯
D ÊÁË 9, 12 ˆ˜¯
____ 13. Dilate the figure by a scale factor of 0.5. What are the vertices of the image?
A
B
F´(2.5, 3), G´(0.5, 5),
H´(0.5, 1)
F´(–3, –2.5), G´(–5, –0.5),
H´(–1, –0.5)
C
D
F´(3, 2.5), G´(5, 0.5),
H´(1, 0.5)
F´(3, 2.5), G´(5, 0.5),
H´(2, 1)
____ 14. The graph shows the relationship between the number of members in a club and the number of years after
the club began. Based on the trend shown in this data, predict the year in which the club will have no
members.
A
B
C
D
1
3
6
8
year
years
years
years
4
Name: ______________________
ID: A
____ 15. Write an equation for the trend line on the scatter plot. What is a reasonable interpretation for the slope
in this context?
A
B
C
D
y = −x + 80; The number of students decreases by 1 student per year.
y = −10x + 80; The number of students decreases by 1 student per year.
y = −10x + 80; The number of students decreases by 10 students per year.
y = −x + 80; The number of students decreases by 10 students per year.
5
Name: ______________________
ID: A
____ 16. Maya sketches a graph of a linear function. Which graph might she have sketched?
A
B
C
D
____ 17. Which is a linear equation?
A y = 2 − 5x
B
y = −5x
2
C
D
6
y = 2 − 5x
5
y=−
x
2
Name: ______________________
ID: A
____ 18. George is selling sandwiches at a deli. The table shows the average number s of sandwiches he sells over
time t, in minutes. What linear function is represented by the table?
Time
Sandwiches
(minutes)
sold
3
19
6
25
9
31
12
37
A
B
C
D
s = −2t + 13
s = 13t + 2
s = 2t
s = 2t + 13
____ 19. Identify the transformation from the original to the image, and tell whether the two figures are similar or
congruent. The original figure has solid sides; the image has dashed sides.
A
The transformation is a dilation.
The triangles are congruent.
C
B
The transformation is a translation.
The triangles are similar but not
congruent.
D
7
The transformation is a dilation.
The triangles are similar but not
congruent.
The transformation is a reflection. The
triangles are similar but not congruent.
Name: ______________________
ID: A
____ 20. Which set of vertices forms a figure that is similar but NOT congruent to the figure shown?
A
B
C
D
(−3, 3), (2, 1), (2, − 1), (−3, − 3)
(−6, − 6), (−2, 4), (2, 4), (6, − 6)
(−2, − 6), (0, − 1), (2, − 1), (4, − 6)
(−3, 3), (−1, − 2), (1, − 2), (3, 3)
____ 21. Triangle EFG has vertices E(–3, 1), F(1, 1), and G(4, 5). Find the coordinates of the image of point F
after a reflection across the x-axis.
A (1, –1)
C (–1, –1)
B (1, 1)
D (–1, 1)
____ 22. Describe the difference between the two given transformations.
Transformation 1: (x, y) → (x + 4, y + 4)
Transformation 2: (x, y) → (4x, 4y)
A The image in Transformation 1 has an area that is 4 times greater than the image in
Transformation 2.
B The image in Transformation 2 moves the original triangle 4 units in each direction.
C All but one of the vertices in the image of Transformation 1 is different from the
original.
D The image in Transformation 2 has a perimeter that is 4 times greater than the
perimeter of the image in Transformation 1.
____ 23. Suppose a constellation of stars is plotted on a coordinate plane. The coordinates of one star are (0,–8).
The point representing the star is then translated left 3 units. What are its new coordinates?
A (3,–8)
B (0,–5)
C (0,–11)
D (–3,–8)
8
Name: ______________________
ID: A
____ 24. If triangle ABC is reflected across the x-axis, what are the new coordinates of point A?
A
ÊÁ 3, −1 ˆ˜
Ë
¯
B
ÊÁ 1, −3 ˆ˜
Ë
¯
____ 25. Find how the perimeter and the area of the figure change when its dimensions change.
A
B
C
D
When the dimensions of the triangle are doubled, the perimeter is doubled, and the
area is four times greater.
When the dimensions of the triangle are doubled, the perimeter is doubled, and the
area is doubled.
When the dimensions of the triangle are doubled, the perimeter is four times greater,
and the area is four times greater.
When the dimensions of the triangle are doubled, the perimeter is four times greater,
and the area is doubled.
9
Name: ______________________
ID: A
____ 26. Figure B is the image of figure A after a dilation centered at the origin. What is the scale factor of the
dilation?
A
B
C
D
1
3
1
2
1
3
____ 27. Which of the statements is true about the data displayed in the scatter plot?
A
B
It shows a positive correlation.
It shows a negative correlation.
C
D
10
It shows no correlation.
As study time increases, grade decreases.
Name: ______________________
ID: A
____ 28. Tell whether x and y have a positive association, a negative association, or no association. Explain your
reasoning.
A
positive; the slope is positive
C
no correlation; the slope is close to zero
B
negative; the slope is negative
D
cannot determine
____ 29. Tell whether x and y have a positive association, a negative association, or no association. Explain your
reasoning.
A
B
negative; the slope is negative
C
no correlation; the slope is close to zero D
positive; the slope is positive
cannot determine
____ 30. Find the mean absolute deviation for this data set.
2, 3, 1, 5, 4
A 2,1
C 2
B 1
D 1.2
11
Name: ______________________
ID: A
____ 31. Terri has a balance of $795 on his credit card. He is currently making monthly credit card payments of
$20 a month. What will happen if he increases the amount he is paying by $18 a month?
A It will take him longer to repay the
C His interest rate will increase.
loan.
B It will take him less time to repay the
D His interest rate will decrease.
loan.
____ 32. Nelson took out a $12,750 loan in 2009 to open a food trailer. He has paid $1,700 of the principal. The
interest rate on his loan is 6.5%. He wants to pay off the rest of the loan in 5 years. How should he fill in
the blanks on the online calculator modeled below to figure out the amount he should pay each month?
A
B
C
A
B
Enter your loan balance
Enter the loan’s interest rate
Enter desired months until debt
free
12,750; 6.5%; 60
12,750;0.065%; 5
C
D
11,050; 6.5%; 5
11,050; 6.5%; 60
____ 33. A new house costs $260,000.00. Sara wants to buy the house and needs $35,560.00 for a down payment.
Sara currently has $28,000.00 in a savings account that earns 9% simple interest. How long must she
keep the money in the savings account in order to have enough for the down payment on the house?
A 92.1 years
C 3 years
B 14 years
D 3 months
____ 34. Jenny has $1,200 in her savings account. If the bank pays 3% interest per year on savings, how much
interest does she earn in one year?
A $36
B $360
____ 35. What is the surface area of the right rectangular prism shown in the figure?
A
B
C
D
2
143 m
2
286 m
2
315 m
2
486 m
12
Name: ______________________
ID: A
____ 36. Juliana is wrapping a present for her friend’s birthday gift. The gift will fit in a box that she will have to
fold and tape together, like the one shown below. Juliana decides to wrap that box in one in which each
side is 4 times as long as the gift box. How much more wrapping paper will she need to wrap the larger
box than she would need for the original gift box?
S=7
A
B
C
D
Juliana needs an additional 4,410 square inches of wrapping paper to wrap the larger
box.
Juliana needs an additional 16 square inches of wrapping paper to wrap the larger box.
Juliana needs 294 square inches of wrapping paper to wrap the larger box.
Juliana needs 4,704 square inches of wrapping paper to wrap the larger box.
____ 37. Solve−1 + 8a = 10 − 3a.
A a = −7
B a = −1
C
D
a=1
a=7
____ 38. A hockey season ticket holder pays $72.48 for her tickets plus $6.00 for a program each game. A second
person pays $18.08 for a ticket to every game, but doesn’t buy programs. In how many games will they
have paid the same amount?
A 5
C 13
B 4
D 6
____ 39. Solve 2 +
x 3x
+
= 16.
2
8
A
x=5
B
x = 12
1
4
2 a
4
+ = + 2a.
5 2
5
4
a=−
15
C
x = 16
D
x = 24
B
a=
____ 40. Solve
A
13
4
15
Name: ______________________
ID: A
Numeric Response
1. Based on a sample survey, a principal claims that 77% of the students like math. Out of 1,300 students,
how many would you predict do NOT like math?
2. The figure is a square placed on top of a trapezoid. The perimeter of the square is 76 cm. Find the area of
the figure in square centimeters.
3. The data set shows the number of participants at a fundraiser and the amount of funds raised. Use a
graphing calculator to find the least-squares line for the data with number of participants as the
independent variable. Then calculate the mean absolute deviation. Round your answer to the nearest
hundredth..
Number of
participants
Funds raised ($)
Family House Fundraiser
10
15
20
25
13
15
550
600
600
470
550
650
Short Answer
1. A) Write a real-world problem to match the equation 6 −
B) Solve the equation, and interpret the answer.
14
1
1
x = 2 x.
2
2