Cumulative Exam — Cumulative exam Answers

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To find the area of parallelogram RSTU, Juan starts by drawing a rectangle around it. Each vertex of parallelogram RSTU is on a side of the rectangle he draws.

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A
2 (18 + 4)
B
(18 + 4)
Option B
C
(18 + 4)
D
(18 - 4)
2
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The frequency table shows the results of a survey comparing weekly gasoline costs to the average number of miles a car can drive on a gallon of gasoline.Marcel converts the frequency table to a conditional relative frequency table by row.Which value should he use for Y? Round to the nearest hundredth.

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A
0.19
B
0.45
C
0.82
D
0.90
3

On a coordinate plane, parallelogram W X Y Z is shown. Point W is at (0, negative 1), point W is at (4, 0), point Y is at (3, negative 2), and point Z is at (negative 1, negative 3).

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A
+ units
Option A
B
+ units
Option B
C
16 units
D
22 units
4

Which rule can be used to describe the growth of the y-values of the function over each interval from to ?

Question illustration
A
add 12
B
multiply by 12
C
add 1, then 12, then 144
D
multiply by 1, then by 12, then by 144
5

Garth is packing boxes with books. The list shows how many books are in each of 10 boxes.6, 14, 6, 18, 9, 9, 12, 10, 11, 15 Which statement is true about the number of books packed to a box?

A
The median number of books to a box is 8.
B
The median number of books to a box is 9.
C
The mean number of books to a box is 11.
D
The mean number of books to a box is 12.
6

What is the format of this proof?Given: ∠ABC is a right angle, ∠DBC is a straight angleProve: ∠ABD is a right angle

Question illustration
A
two-column proof
B
two-paragraph proof
C
flowchart proof
D
one-paragraph proof
7

A group of 120 people were asked whether their income level is above or below $25,000 and whether they subscribe to a movie channel. The data from the survey is shown in the Venn diagram. Use the Venn diagram to find the missing values in the frequency table.

Question illustration
A
a = 18, b = 34, c = 65
B
a = 34, b = 18, c = 68
C
a = 34, b = 68, c = 47
D
a = 47, b = 18, c = 68
8

The conditional relative frequency table below was generated by column using data comparing gender and a person's favorite meal to cook.Which would most likely indicate an association between the categorical variables?

Question illustration
A
The value of A is similar to the value of B.
B
The value of A is similar to the value of E.
C
The value of B is not similar to the value of C.
D
The value of B is not similar to the value of F.
9

On a coordinate plane, 2 parallelograms are shown. Parallelogram 1 has points (0, 2), (2, 6), (6, 4), and (4, 0). Parallelogram 2 has points (2, 0), (4, negative 6), (2, negative 8), and (0, negative 2).

Question illustration
A
The area of parallelogram 1 is 4 square units greater than the area of parallelogram 2.
B
The area of parallelogram 1 is 2 square units greater than the area of parallelogram 2.
C
The area of parallelogram 1 is equal to the area of parallelogram 2.
D
The area of parallelogram 1 is 2 square units less than the area of parallelogram 2.
10

Question text not available

Question illustration
A
60°
B
90°
C
180°
D
360°
11

On a coordinate plane, parallelogram P Q R S is shown. Point P is at (5, 1), point Q is at (6, 4), point R is at (3, 10), and point S is at (2, 7).

Question illustration
A
The slopes of SP and RQ are both –2 and SP = RQ = .
Option A
B
The slopes of RS and QP are both 3 and SP = RQ = .
Option B
C
The midpoint of RP is and the slope of RP is .
Option C
D
The midpoint of SQ is and SQ = 5.
Option D
12

A point has the coordinates (m, 0) and m ≠ 0.Which reflection of the point will produce an image located at (0, –m)?

A
a reflection of the point across the x-axis
B
a reflection of the point across the y-axis
C
a reflection of the point across the line y = x
D
a reflection of the point across the line y = –x
13

Square PQRS is transformed as shown on the graph.

Question illustration
A
R0, 90°
B
R0, 180°
C
R0, 270°
D
R0, 360°
14

The data set represents the number of snails that each person counted on a walk after a rainstorm.12, 13, 22, 16, 6, 10, 13, 14, 12What is the outlier of the data?

A
6
B
11
C
15
D
22
15

On a coordinate plane, 2 quadrilaterals are shown. The first figure has points A (negative 2, 1), B (negative 4, 1), C (negative 4, 5), and D (negative 2, 4). Figure 2 has points A prime (2, 1), B prime (4, 1), C prime (4, 5), and D prime (2, 4).

Question illustration
A
rx-axis(x, y) → (–x, y)
B
ry-axis(x, y) → (–x, y)
C
rx-axis(x, y) → (x, –y)
D
ry-axis(x, y) → (x, –y)
16

The two conditional relative frequency tables below show the results of a survey asking students whether they are taking a foreign language or not.Table B: Frequency of Foreign-Language Studies by RowWhich table could be used to answer the question "Assuming a student is taking a foreign language, what is the probability the student is also in high school?”

Question illustration
A
Table A, because the given condition is that the student is in high school.
B
Table A, because the given condition is that the student is taking a foreign language.
C
Table B, because the given condition is that the student is in high school.
D
Table B, because the given condition is that the student is taking a foreign language.
17

Given: AB = BCProve: B is the midpoint of AC.

Question illustration
A
two-column proof
B
one-paragraph proof
C
flowchart proof
D
two-paragraph proof
18

The table shows the results of a survey of 400 random people on whether they like liquid soap, bar soap, or both. Which is the marginal relative frequency for the people who do not like bar soap?

Question illustration
A
StartFraction 100 Over 400 EndFraction
Option A
B
StartFraction 120 Over 400 EndFraction
Option B
C
StartFraction 280 Over 400 EndFraction
Option C
D
StartFraction 300 Over 400 EndFraction
Option D
19

On a coordinate plane, 2 triangles are shown. Triangle A B C has points (negative 3, negative 1), (negative 1, 2), and (negative 5, 3). Triangle R S T has points (1, 1), (3, 4), and (5, 0).

Question illustration
A
ΔRST ≅ ΔACB
B
ΔRST ≅ ΔABC
C
ΔRST ≅ ΔBCA
D
ΔRST ≅ ΔBAC
20

The equation for the line of best fit is f(x) ≈ 1.8x − 5.4 for the set of values in the table.

Question illustration
A
14
B
20
C
45
D
54

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