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WorksheetsFall Accelerated Semester Exam Practice
Total questions: 72
Worksheet time: 5hrs 55mins
Name
Class
Date
1.
Order the following from least to greatest.
1/2, 2%, 2.1 x 10-2, 0.20
1/2, 2%, 2.1 x 10-2, 0.20
a)
2%, 2.1 x 10-2, 1/2, 0.20
b)
2%, 2.1 x 10-2, 0.20, 1/2
c)
0.20, 1/2, 2%, 2.1 x 10-2
d)
2.1 x 10-2, 1/2, 0.20, 2%
2.
Scientific Notation is made up of two number parts. The first part should be a number between 1 and 100.
a)
True
b)
False
3.
Express the following in standard notation:
8.025 x 10-8
8.025 x 10-8
a)
.00000008025
b)
.000000008025
c)
802,500,000,000
d)
80,250,000,000
4.
A repeating decimal or decimal that terminates is called a
a)
Natural Number
b)
Irrational Number
c)
Rational Number
d)
Whole Number
5.
Zero can be classified as all of the following except which?
a)
Whole
b)
Rational
c)
Integer
d)
Natural
6.
What is the name for the set of numbers that includes non-repeating, non-terminating decimals?
a)
Irrational
b)
Rational
c)
Integers
d)
Complex
7.
Solve
a)
x < 2
b)
x > 2
c)
x ≥ 2
d)
x ≤ 2
8.
x/5 - 13 = 20
a)
145
b)
165
c)
180
d)
190
9.
-3y + 2 > 11
a)
y < -3
b)
y > -3
c)
y < 3
d)
y > 3
10.
Which graph matches the inequality
r ≥ -6?
r ≥ -6?
a)
A
b)
B
c)
C
d)
D
11.
Which inequality is represented by this graph?
a)
2.75 > d
b)
2.75 < d
c)
2.75 ≥ d
d)
2.75 ≤ d
12.
14. Which situation can be represented by the equation:
200 = 40x + 20
200 = 40x + 20
a)
a) Mitch owed Jason $200. Mitch borrowed $20 more. If Mitch pays Jason back $40 per week, how many weeks will it take him to pay back the money?
b)
b) Mitch owed Jason $200. Mitch already paid Jason back $20. If Mitch pays Jason back $40 per week, how many weeks will it take him to pay back the money?
c)
c) Mitch owed Jason $200. Mitch borrowed $40 more. If Mitch pays Jason back $20 per week, how many weeks will it take him to pay back the money?
d)
d) Mitch owed Jason $200. Mitch already paid Jason back $40. If Mitch pays Jason back $20 per week, how many weeks will it take him to pay back the money?
13.
15. The 7th GradeTeam needs to raise enough money to take the 7th graders on a field trip to the Perrot Museum. They need to raise at least $600. How many candy bars will they need to sell, c, if they sell them for $2.50 each and the bus will cost $150? Which inequality can they use to solve for c, the cost per candy bar to pay for the field trip?
a)
2.50c - 150 ≤ 600
b)
2.50c + 150 ≤ 600
c)
2.50c + 150 ≥ 600
d)
2.50c - 150 ≥ 600
14.
16. Melanie wants to renovate her room. She can spend no more than $300. She wants a bedspread for $85, a new night stand for $150 and new pillows that are $15 each. She has a coupon for $20 off. Which Inequality can she use to solve for x, how many pillows she can buy?
a)
15x + 160 ≤ 300
b)
160 - 15x ≤ 300
c)
15x + 160 ≥ 300
d)
160 - 15x ≥ 300
15.
In the equation: 120x + 32 = 54 - 3x, what is 120?
a)
Coefficient
b)
Constant
c)
Variable
16.
Write an equation to represent: three times a number minus two is the same as the number plus ten.
a)
3x - 2 = x + 10
b)
2 - 3x = x + 10
c)
3x - 2 = 10x
d)
2x - 3 = x + 10
17.
When we graph
.5x - 1 > .25x + 2,
which way does the arrow point?
.5x - 1 > .25x + 2,
which way does the arrow point?
a)
Left
b)
Right
18.
Choose the situation that could represent the inequality:
3.99 + 0.5x < 0.89x
3.99 + 0.5x < 0.89x
a)
The cost of a baseball jersey at Store A is $3.99 plus $0.50 for each letter in the player’s name. Store B has baseball jerseys at no cost as long as the player’s name is added at the store for $0.89 each. For how many letters is Store A a better deal?
b)
Amanda spent $3.99 on a sandwich and $0.50 on a bag of chips. He sister Ashley spent $0.89 on a bag of chips. Which sister spent more money?
19.
Select the situation that could be modeled by: 120 + 25x = 45x.
a)
John bought a car radio for $120 and speakers for $25 each. Joe bought a radio for $45. They each paid the same. How much did they spend?
b)
George charges a flat fee of $120 to mow a lawn plus $25 an hour. Greg charges $45 a hour to mow a lawn. After how many hours do they make the same amount?
c)
Lisa pays $120 for each purse she buys plus an additional $25 to have them personalized. Lauren pays $45 for each purse she buys. How many purses must they buy for the amount they spent to be the same?
20.
The school board is selling pizzas for
$7 each to raise money for new
uniforms. The supplier charges $100
plus $4 per pizza. How many pizzas
does the school board need to sell to
make a profit?
$7 each to raise money for new
uniforms. The supplier charges $100
plus $4 per pizza. How many pizzas
does the school board need to sell to
make a profit?
a)
33
b)
100
c)
15
21.
When we graph
-3 + x/7 < -5,
which way does the arrow point?
-3 + x/7 < -5,
which way does the arrow point?
a)
Left
b)
Right
22.
If the scale factor is greater than one, the new figure will be
a)
a reduction
b)
an enlargement
c)
a scale
d)
not proportional
23.
Two objects that are the same shape but not the same size are _______.
a)
Congruent
b)
Vertical
c)
Similar
d)
Complementary
24.
To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree. How tall is the tree?
a)
144 feet
b)
72 feet
c)
36 feet
25.
A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 24 feet. How tall is the building? (Draw a picture, set up a proportion)
a)
24 feet
b)
21 feet
c)
27 feet
d)
32 feet
26.
Matching sides are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent Sides
27.
All angles in similar figures are congruent.
a)
True
b)
False
28.
Solve for x.
a)
A
b)
B
c)
C
d)
D
29.
Solve for x.
a)
-12
b)
-8
c)
-10
d)
-5
30.
Find the measure of angle B.
a)
89
b)
211
c)
119
d)
81
31.
Choose the correct scale factor:
a)
1/3
b)
3
c)
2
d)
1/2
32.
A dilation is which of the following:
a)
only an enlargement
b)
only a reduction
c)
Either an enlargement or a reduction
d)
Neither an enlargement or a reduction
33.
The triangles are similar, solve for the question mark.
a)
8
b)
12.5
c)
18
d)
24
34.
Who is this?
a)
Chuck the Elf
b)
Friend the Elf
c)
Buddy the Elf
d)
Barry the Elf
35.
What is another name for Santa Claus?
a)
Larry Klaus
b)
Sam Snower
c)
Kris Kringle
d)
Chris Everton
36.
What is the algebraic rule for the dilated image?
a)
(x, y) --> (2x, 2y)
b)
(2x, 2y) --> (x, y)
c)
(x, y) --> (0.5x, 0.5y)
d)
(x, y) --> (x+1, y+2)
37.
Using the algebraic rule (x, y) --> (2.5x, 2.5y), what would be the coordinates of C' if point C is located at (-10, 8).
a)
C'(-4, 3.2)
b)
C'(-25, 20)
c)
C'(-25, 8)
d)
C'(-4, 20)
38.
Triangle ABC is dilated using the algebraic rule (x, y) --> (0.75x, 0.75y). Is triangle A'B'C' an enlargement or reduction of the original triangle?
a)
Enlargement because the scale factor is less than one.
b)
Reduction because the scale factor is less than one.
c)
Neither
d)
Cannot Be Determined
39.
Dilate Point B by a scale factor of 1/2
a)
(1.5,-4)
b)
(-1.5,1)
c)
(-1,-1.5)
d)
(-2,-2)
40.
To measure the distance across a pond, a surveyor locates points A, B, C, D, and E as shown. What is AB to the nearest meter?
a)
10
b)
12
c)
15
d)
18
41.
What is the height of the Tree?
a)
20
b)
15
c)
30
d)
10
42.
If a shape is dilated by a scale factor of one-half, what is the resulting perimeter?
a)
The new perimeter is one-half the original
b)
The new perimeter is 2 times the original
c)
The new perimeter is one-fourth the original
d)
The new perimeter is 4 times the original
43.
What is the scale factor from MNOP to ABCD?
a)
0.67
b)
0.5
c)
1.5
d)
2
44.
Similarity Ratio: _ pay attention to which is first in the photo.
a)
2/3
b)
1/2
c)
2
d)
3
45.
Tell whether the two figures are congruent.
a)
Yes, same size and same shape
b)
No, same shape but different sizes
c)
No, different size and different shapes
46.
Complete each proportion.
AB / AM = ? / AD
AB / AM = ? / AD
a)
BC
b)
AC
c)
MD
d)
MC
47.
If the car travels 280 miles in 7 hours, how far will it travel in 12 hours?
a)
480
b)
1960
c)
84
d)
25
48.
A rectangular garden is 45 ft wide and 70 ft long. On a blueprint, the width is 9 in. Identify the length on the blueprint.
a)
7 in
b)
9 in
c)
12 in
d)
14 in
49.
Under the dilatation with scale factor of 1/4, the transformed image is enlarged.
a)
True
b)
False
50.
Toby buys a new MP3 player for a price of $45.50. What is the tax added to the MP3 player if the sales tax is 7%?
a)
3.19
b)
48.69
c)
7
d)
52.50
51.
Mrs. Ray is buying some groceries. They total to $35.50. Sales tax is 4.5%. When she goes to pay, how much will she owe?
a)
$1.60
b)
$37.10
c)
$40.00
d)
$2.50
52.
Zach has mowed 40% of the lawn. If he has been mowing for 20 min., how long will it take him to finish mowing the lawn?
a)
50 minutes
b)
30 minutes
c)
8 minutes
d)
28 minutes
53.
Megan drew a scale drawing of a house and its lot. The scale she used was 1 inch = 2 feet. The backyard is 78 feet long in real life. How long is the yard in the drawing?
____ = ____
____ = ____
a)
157 inches
b)
156 inches
c)
39 inches
d)
36 inches
54.
A skateboard is on sale with a 25% discount. The original price was $120.
Find the sale price.
Find the sale price.
a)
30
b)
90
c)
150
d)
44
55.
(x, y) -> (2x, 2y)
What is the coefficient 2 mean?
What is the coefficient 2 mean?
a)
plot 2 to the right and 2 up
b)
scale factor is 2 creating a new figure half the size
c)
scale factor is 2 making a figure twice the
original
original
d)
I don't understand this question : (
56.
Which is FALSE about dilations?
a)
The shape is the same.
b)
The size changes.
c)
The sides of the shape get larger or smaller.
d)
The angles of the shape get larger or smaller.
57.
A dilation of scale factor 5 of a preimage △ABC creates an image. Which of the following is not true about the preimage and image?
a)
Angles will be congruent
b)
Sides will be congruent
c)
Sides will be proportional.
d)
Shape will be the same.
58.
Square A is a Dilation of Square B. What is the scale factor of the squares?
a)
1/7
b)
4/5
c)
5/4
d)
7
59.
Are the triangles similar?
a)
Yes
b)
No
60.
Are the triangles similar?
a)
Yes
b)
No
61.
a)
8 cm
b)
9 cm
c)
10 cm
d)
12 cm
62.
a)
x = 4 in
b)
x = 6 in
c)
x = 8 in
d)
x = 12 in
63.
Scale: 1in.=7ft. The actual width of the backyard is 49 ft, how wide is it in the drawing?
a)
14 in
b)
7 in
c)
42 in
d)
56 in
64.
The red triangle has been dilated by a scale factor of 1/4, which triangle is it's new image?
a)
green triangle
b)
red triangle
c)
black triangle
d)
none of these
65.
A rectangle has dimensions of 3 x 5 inches. The image is created with a scale factor of 1/2. What is the area of the image?
a)
.75 square inches
b)
3.75 square inches
c)
60.0 square inches
d)
1.5 square inches
66.
If the length of the pre-image is 12 units and the scale factor is 1/4 what is the length of the image?
a)
300
b)
4.8
c)
3
d)
4
67.
Find the AREA of the image - if this pre-image was dilated by a scale factor (r) of 4.
a)
160 square feet
b)
160 feet
c)
2560 feet squared
d)
1600 feet
68.
Review the picture. Find the missing side measurement in the picture using a proportion.
a)
x = 900 m
b)
25 m
c)
x = 25 m
d)
x = 0.04 m
69.
A rectangle has a perimeter of 15 inches. An image is created with a scale factor of 2. What is the new perimeter?
a)
17
b)
60
c)
30
d)
15
70.
Which of the following are attributes of similar figures.
I Angles are proportional
II Sides are proportional
III Angles are congruent
IV Sides are congruent
I Angles are proportional
II Sides are proportional
III Angles are congruent
IV Sides are congruent
a)
I and II only
b)
II and III only
c)
III only
d)
III and IV
71.
The area of a frame is 15 cm2 and the scale factor is 4. What is the scaled area?
a)
60 cm2
b)
120 cm2
c)
240 cm2
d)
900 cm2
72.
If the original lengths are multiplied by 2, what are the new coordinates?
a)
(0, 0), (12, 18), (12, 0)
b)
(0, 0), (18, 12), (12, 0)
c)
(0, 0), (12, 18), (0, 12)
d)
(0, 0), (18, 12), (0, 12)
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