Assignment: 2010 Summer Practice 7A into 8A
1.
What is the slope of the graph of the equation y = 2x -
1.
2.
2
3.
4.
2x
?
2.
In which graph does line L have a negative slope?
1.
3.
2.
4.
3.
Which phrase describes the graph of y = -1 on the coordinate plane?
1.
2.
3.
4.
a line parallel to the y-axis and 1 unit to the right of it
a line parallel to the y-axis and 1 unit to the left of it
a line parallel to the x-axis and 1 unit below it
a line parallel to the x-axis and 1 unit above it
4.
The line whose equation is y = 4x + 2 has a y-intercept whose coordinates are
1.
2.
3.
4.
(0, 0)
(0, 2)
(4, 0)
(0, 4)
5.
Which equation is represented by the graph of line L?
1.
2.
3.
4.
x=y+4
y=x+4
x=4
y=4
6.
A point whose y-coordinate is 6 lies on the line whose equation is y = 5x 4. What is the xcoordinate of the point?
1.
2.
3.
4.
2/5
2
6
26
7.
An equation whose graph has a slope of –2 and a y-intercept of 3 is
1.
2.
3.
4.
x = -2y + 3
y = -2x + 3
x = 3y – 2
y = 3x – 2
8.
What is the slope of line l shown in the accompanying diagram?
1.
2.
3. 4. 9.
The accompanying graph represents the yearly cost of playing 0 to 5 games of golf at the
Shadybrook Golf Course.
The total cost of joining the club and playing 10 games during the year is $
10.
.
If x and y are defined as indicated by the accompanying table, which equation correctly
represents the relationship between x and y?
1.
2.
3.
4.
y=x+2
y = 2x + 2
y = 2x + 3
y = 2x - 3
11.
If 2x represents an even integer, then the next consecutive even integer would be represented by
1.
2.
3.
4.
2x + 1
2x + 2
3x
x+2
12.
Which is a rational number?
1.
2.
3.
4.
13.
Which transformation does not always produce an image that is congruent to the original figure?
1.
2.
3.
4.
translation
dilation
rotation
reflection
14.
On February 18, from 9 a.m. until 2 p.m., the temperature rose from –14°F to 36°F. What was
the total increase in temperature during this time period?
1.
2.
3.
4.
50°
36°
32°
22°
15.
The sum of 8x2 – x + 4 and x – 5 is
1.
2.
3.
4.
8x2 + 9
8x2 – 1
8x2 – 2x + 9
8x2 – 2x – 1
16.
Solve for x: 8x + 9 = 5x + 6
1.
2.
3.
4.
-1
1
5
-3/13
17.
Solve for x:
1.
2.
3.
8
-8
3
4. 18.
Solve for x: 6(x - 2) - 4x = 16
1.
2.
3.
4.
2
7
12
14
19.
Which letter has both line and point symmetry?
1.
2.
3.
4.
A
S
Z
H
20.
In which figure is ΔA' B' C' a reflection of ΔABC in line l?
1.
3.
2.
4.
21.
The diagram below shows a right triangle.
If the triangle is rotated 90° counterclockwise about the origin, what will the image be?
1.
3.
2.
4.
22.
In the diagram, which transformation makes triangle 2 the image of triangle 1?
1.
2.
3.
4.
reflection in the y-axis
dilation
translation
rotation centered at the origin
23.
If you translate the image two units up and three units right, what are the coordinates of the new
image?
1.
2.
3.
4.
(2, 0), (2, 3) and (6, 0)
(4, 3), (4, 6) and (8, 3)
(5, 2), (5, 5) and (9, 2)
(2, 2), (2, 5) and (6, 2)
24.
Which of the following is considered a dilation?
1.
2.
3.
4.
25.
If an angle measures 80°, what is the measure of its supplement?
1.
2.
3.
4.
80°
120°
100°
20°
26.
If an angle has a measure of 60°, what is the measure of its complement?
1.
2.
3.
4.
30°
120°
40°
90°
27.
The diagram shows a pair of intersecting lines.
What is the measure of ∠1?
Answer:
°
28.
The diagram shows a pair of intersecting lines.
°
x=
The measure of the angle marked (3x)° =
The measure of the angle marked (x + 80)° =
°.
°.
29.
Two parallel lines are cut by a transversal, forming eight angles as shown in the diagram.
The measure of ∠3 =
°.
30.
The sections of a spinner are shaded in blue and yellow. The probability that the spinner will
land on a blue section is 4/9. What is the probability that the spinner will not land on a blue
section?
1.
2.
3.
4.
4/5
4/9
5/9
9/9
31.
Two parallel lines are cut by a transversal, forming eight angles as shown in the diagram.
∠3 and ∠
∠
are alternate interior angles.
and ∠5 are alternate interior angles.
32.
In the diagram, lines
and
intersect at E.
If m∠AED = 3x + 11 and m∠CEB = 125, find x.
1.
2.
3.
4.
19
38
42
55
33.
In the diagram, transversal
= 2x − 30.
Find the value of x.
1.
30
intersects parallel lines
and
, m∠DGH = x, and m∠BHG
2.
3.
4.
50
70
110
34.
Leslie made a total investment in the stock market of $1,250. In the first month she lost a total of
$300. What percent of her original investment did Leslie lose?
Answer:
%
35.
The development of the canal system across New York State during the 1800s represented a
major improvement in transportation across the state. The data table below compares the amount
of time and the cost of shipping freight from New York City to Buffalo by dirt road versus by
canal.
What was the percent decrease in the number of days it took to transport freight from New York
City to Buffalo by canal rather than by dirt road?
Answer:
%
36.
A standard tip for a waiter or waitress is between 15% and 20% of the bill. If Sue wants to tip
20% of her $45.00 dinner bill, how much should she leave the waiter as a tip?
Answer: $
37.
If all summer shirts are all sale for 45% off, what would the discount on a $30 shirt be?
Answer: $
38.
Use the Currency Exchange Table to help you answer the question. The table shows the value of
1 US Dollar in terms of other currencies around the world.
Mr. Jones was on a business trip to Singapore. He bought dinner at a restaurant, and the bill
came to 32.55 Singapore dollars.
What is the value of Mr. Jones’ bill in US Dollars, rounded to the nearest cent?
Answer: $
US Dollars
39.
Complete the table for the function y = 2x + 1.
x
y
4
9
2
-2
3
40.
For the function f(x) = x - 5, find the value of f(2).
f(2) =
41.
Use the function f(x) = x2 + 6 to find f(4).
f(4) =
42.
Find the area of the irregular figure.
Answer:
square millimeters
43.
Find the area of this irregular figure.
Answer:
square meters
44.
Find the area of the parallelogram.
Answer:
square inches
45.
Solve for x: 2x + 4 ≤ 12
1.
2.
3.
4.
x≤4
x≤8
x≥4
x≥8
46.
Which inequality is represented in the accompanying graph?
1.
2.
3.
4.
-3 ≤ x < 4
-3 ≤ x ≤ 4
-3 < x < 4
-3 < x ≤ 4
47.
Al wanted to put a railing next to his stairs. The railing needs to be 18
pieces of wood that are each 7
your answer in simplest form.
feet long. If he has 2
feet long, how much longer must the third piece be? Write
feet
48.
If there are 240 students in the eleventh grade and 80 of them received a B+ or better in Math.
What fraction received a B+ or better in math? Write your answer in simplest form.
49.
What is the product of 3x4 y2 and 2xy3?
1.
2.
3.
4.
6x5y5
6x4y5
6x4y6
6x5y6
50.
What is the quotient of
?
1.
2.
3.
4.
2x4 y2
13x5 y3
2x3 y
13x3 y
51.
Mary has 2 blouses (1 red and 1 blue) and 3 pairs of slacks (1 yellow, 1 white, and 1 green). The
tree diagram represents the outfits she can wear.
If Mary chooses 1 blouse and 1 pair of slacks at random, what is the probability that the outfit
she chooses will include a pair of green slacks?
1.
2.
3.
4.
1/5
2/5
2/6
4/6
52.
Juan has three blue shirts, two green shirts, seven red shirts, five pairs of denim pants, and two
pairs of khaki pants. How many different outfits consisting of one shirt and one pair of pants are
possible?
1.
2.
3.
4.
19
84
130
420
53.
When Paula went bowling, she scored 118 and 138 in her first two games. What must she score
in a third game to have an average score of 132?
1.
2.
3.
4.
54.
130
132
140
148
The histogram shows the grade distribution for a mathematics test given to Ms. Keith's class.
How many students are in the class?
1.
2.
3.
4.
12
23
28
33
55.
The set of scores on a mathematics test is 72, 80, 80, 82, 87, 89, and 91. The mean score is:
1.
2.
3.
4.
84
83
82
80
56.
Tracy recorded the number of calories she consumed for 20 consecutive days: 1200, 1153, 1106,
976, 980, 972, 1405, 1100, 1325, 1149, 1252, 972, 1341, 962, 1243, 1070, 1438, 1305, 1367,
1163.
(a) Complete the frequency table below:
Interval
900–999
1000–1099
1100–1199
1200–1299
1300–1399
1400–1499
Frequency
(b) Complete the cumulative frequency table for the data set.
Interval
Cumulative
Frequency
900–999
900–1099
900–1199
900–1299
900–1399
900–1499
(c) Using the intervals contained in the frequency table of part (a), the interval
contains the median.
–
57.
Which statement is true for the following group of data?

11, 13, 18, 19, 19
1.
2.
3.
4.
mean > median
mean > mode
mode = median
median < mode
58.
In the diagram, ABCDE is a regular pentagon with the measure of
the perimeter of the pentagon is 45, find the value of x.
1.
2.
3.
4.
22
4
4.5
5
represented by 2x + 1. If
59.
If the hypotenuse of a right triangle is 6 and one leg is 5, the other leg is
1.
2. 61
3.
4. 11
60.
The lengths of the sides of a triangle are represented by 3x - 4, x + 2, and 4x. Express the
perimeter of the triangle as a binomial in terms of x.
1.
2.
3.
4.
2059167
8x - 2
8x + 2
7x - 6
6x - 4
False
0
0
1