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Bridge to Algebra Practice Problems

Total questions: 89

Worksheet time: 5hrs 19mins

Name
Class
Date
1.
How would you write 564,000,000 in scientific notation?
a)
5.64 x 10-7
b)
5.64 x 106
c)
5.64 x 108
d)
56.4 x 107
2.
How would you write -5.6 x 10-3 in standard form?
a)
0.0056
b)
-5,600
c)
0.00056
d)
-0.0056
3.
Express the following in scientific notation:
.000457
a)
457 x 106
b)
457 x 10-6
c)
4.57 x104
d)
4.57 x 10-4
4.
Express the following in standard notation:
8.025 x 10-8
a)
.00000008025
b)
.000000008025
c)
802,500,000,000
d)
80,250,000,000
5.
4.85768576...
a)
rational
b)
irrational
6.
9/4
a)
rational 
b)
irrational
7.
√20
a)
rational 
b)
irrational
8.
√49
a)
rational 
b)
irrational
9.
√40
a)
rational
b)
irrational
10.
what is the formula for finding the hypotnuse?
a)
a2+b2=c2
b)
a+b=c
c)
a-b=c
d)
c-a=c
11.
Find the missing side
a)
29.2
b)
20
c)
400
d)
10
12.
Find the missing side
a)
48
b)
108
c)
83.6
d)
72
13.
 Find the distance between these 2 points.
a)
5.8
b)
 6.3
c)
8.1
d)
40
14.
A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?
a)
111.8 yards
b)
115 yards
c)
127.3 yards
d)
119 yards
15.
You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?
a)
25 feet
b)
26 feet
c)
27 feet
d)
28 feet
16.
In the equation y = 14x, what is the constant of proportionality?
a)
y
b)
x
c)
14
17.
What is the constant of proportionality for this table?
a)
1/9
b)
9
c)
8
18.
Write an equation for this relationship.
a)
y=18x
b)
y=18.50x
c)
y=22.50x
d)
y=22x
19.
What is the constant of proportionality (in miles per hour) based on the table?
a)
45
b)
90
c)
135
d)
2
20.
Is the graph proportional or non proportional?
a)
proportional
b)
non proportional
21.
Is the graph proportional or non-proportional?
a)
Proportional
b)
Non-Proportional
22.
Which graph is non-proportional?
a)
A
b)
B
c)
C
d)
D
23.
Is the graph proportional or non proportional?
a)
proportional
b)
non proportional
24.
Two objects that are the same shape but not the same size are _______.
a)
Congruent
b)
Vertical
c)
Similar
d)
Complementary 
25.
Find missing side
a)
5
b)
7
c)
9
d)
11
26.
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
27.
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
28.
State the coordinate of the image of the given point B (-10,-6) under a dilation with center at the origin with the given scale factor k = 1/2.
a)
(5,3)
b)
(20,12)
c)
(-20,-12)
d)
(-5,-3)
29.

State the coordinate of the image of the given point B (4,9) under a dilation with center at the origin with the given scale factor k = 2.

a)
(2,4.5)
b)
(-8,-18)
c)
(8,18)
d)
(9,4)
30.
What does a translation do to a figure on the coordinate plane?
a)
Rotates it
b)
Flips it
c)
Shrinks it
d)
Slides it
31.
Where would point J' be if you translated point 5 units to the left and 2 units up?
a)
(5, 3)
b)
(3, -5)
c)
(-5, 3)
d)
(-3, 5)
32.
Which answer shows a reflection across the x-axis?
a)
d
b)
c
c)
b
d)
a
33.
Identify the slope...
a)
positive
b)
negative
c)
zero
d)
undefined
34.
Find the slope of the line.
a)
1/2
b)
-1/2
c)
2/1
d)
-2/1
35.
Find the slope of the line.
a)
-2/1
b)
2/1
c)
-1/1
d)
1/1
36.
What is the slope ? y = 2x + 10
a)
12/1
b)
3/1
c)
2/1
d)
10
37.
What is the slope? y= 1/2x + -8
a)
1/2x
b)
-8
c)
-1/2
d)
1/2
38.
Is the point (2,-3) on the graph y=3x-9?
a)
yes
b)
no
39.
Is the point (3,11) on the graph y=2x+5?
a)
yes
b)
no
40.
Find the slope:
(-4, 3) and (-4, -7)
a)
5/4
b)
-10/8
c)
Zero
d)
Undefined
41.
Find the slope:
(-1,-9) and (5, -6)
a)
-15/4
b)
1/2
c)
-3/6
d)
11/3
42.
What is the slope of the table?
a)
-2/1
b)
-1/2
c)
2/1
d)
1/2
43.
What is the slope of the table?
a)
-3/5
b)
-5/3
c)
3/5
d)
5/3
44.
What is the y-intercept of this graph?
a)
(0,1)
b)
(0,-2)
c)
(0,0)
d)
(0,3)
45.
a)
y = 2x + 5
b)
y = -2x - 5
c)
y = -2x + 5
d)
y = 5x - 2
46.
a)
y = x + 2
b)
y = 2x +1
c)
y = 2x
d)
y = x - 3
47.
a)
y = -x + 3
b)
y = 2x - 1
c)
y = 3x - 1
d)
y = -x - 3
48.
Find the volume of the figure?
a)
460 cm 3
b)
660 cm 3
c)
60 cm 3
d)
360 cm 3
49.
a)
The lateral surface area is
36 square cm
b)
The lateral surface area is
 72 square meters
c)
The lateral surface area is
144 square meters
d)
The lateral surface area is 288 square meters
50.
FInd the Surface area of the shape below?
a)
258 m2
b)
268 m2
c)
248 m2
d)
278 m2
51.
Jesse needs to wrap the present shown below. How much wrapping paper would he need?

Is this asking for Lateral or Total surface area?
a)
Lateral
b)
Total
52.
Identify the 3D solid.
a)
cube
b)
square prism
c)
square pyramid
d)
triangular pyramid
53.
Classify the 3D solid from its net.
a)
triangular prism
b)
triangular pyramid
c)
ninja star
d)
triangular net
54.
a)
V = 1800 mm3
b)
V = 600 mm3
c)
V = 900 mm3
d)
V = 1200 mm3
55.
Find the volume of the figure. Round to the nearest whole number.
a)
317 units³
b)
635 units³
c)
1,904 units³
d)
890 units³
56.
Find the surface area.
a)
12 m2
b)
16 m2
c)
24 m2
d)
20 m2
57.
What is the total surface area of the rectangular pyramid whose net is shown?
a)
400 in2
b)
800 in2
c)
1,200 in2
d)
1,600 in2
58.
Calculate the area of the figure. 
a)
126 ft2
b)
39 ft2
c)
156 ft2
d)
80 ft2
59.
A party hat is shaped like a cone. The dimensions of the party hat are shown in the diagram. Which measurement is closest to the volume of the party hat in cubic inches?
a)
84.82 in3
b)
339.29 in3
c)
254.47 in3
d)
1,017.88 in3
60.
A ball shaped like a sphere has a radius of 2.7 centimeters. Which measurement is closest to the volume of the ball in cubic centimeters.
a)
46.38 cm3
b)
33.93 cm3
c)
122.15 cm3
d)
82.45 cm3
61.
Find the volume to the nearest tenth using 3.14 instead of Pi.
a)
282.6 in3
b)
94.2 in3
c)
235.5 in3
d)
78.5 in3
62.
Find the volume to the nearest hundredth using 3.14 instead of Pi.
a)
418.00 cm3
b)
139.33 cm3
c)
130.62 cm3
d)
1671.98 cm3
63.
Find the volume of a cylinder with diameter of 10ft and height of 18.5ft
a)
1452.25ft3
b)
5811.94ft3
c)
185ft3
d)
581.19ft3
64.
Find the surface area of the cylinder with the following dimensions: 
diameter = 10 in
height = 8 in 
a)
410.2 in squared
b)
408.2 in squared
c)
360.2 in squared
d)
489.5 in squared
65.
Find the surface area of the cylinder with the following dimensions: 
radius = 6 in
height = 14 in 
a)
762.6 in squared
b)
854.9 in squared
c)
894.8 in squared
d)
753.6 in squared
66.
What is the mean of this data set?
6, 7, 2, 1, 5, 2, 1, 6
a)
24.75
b)
3
c)
3.7
d)
3.8
67.
What is the MAD of this data set?
6, 7, 2, 1, 5, 2, 1, 6
a)
2.25
b)
2.5
c)
3
d)
3.8
68.
Principal = $500
Interest rate =5%
Time = 5 years
What is the interest earned?
a)
95
b)
105
c)
125
d)
135
69.
Dan borrowed $2,000 for 6 months at 12% annual simple interest rate. How much interest is that?
a)
$120
b)
$144
c)
$1,200
d)
$1,440
70.
Bruno was given $2000 when he turned 3 years old.  His parents invested it at a 2% interest rate compounded annually.  No deposits or withdrawls were made.  Which expression can be used to determine how much money Bruno had in the account when he turned 16? 
a)
2000(1+0.02)13
b)
2000(1-0.02)13
c)
2000(1+0.02)16
d)
2000(1-0.02)16
71.
Find the total amount in the account to the nearest cent if the interest is compounded annually. 
$2750 at 8% for 2 years
a)
$2200.00
b)
$3207.60
c)
$8910.00
d)
$2750
72.
Charlie's net worth is -$35,354.  Which of the following is true?
a)
He has a positive net worth which means his assets are greater than his liabilities. 
b)
He has a positive net worth which means his liabilities are greater than his assets.
c)
He has a negative net worth which means his liabilities are greater than his assets.
d)
He has a negative net worth which means his assets are greater than his liabilities 
73.
Nomar's net worth is $15,354.  Which of the following is true?
a)
He has a positive net worth which means his assets are greater than his liabilities. 
b)
He has a negative net worth which means his liabilities are greater than his assets.
c)
He has a positive net worth which means his liabilities are greater than his assets.
d)
He has a negative net worth which means his assets are greater than his liabilities.
74.
Jin's total assets are $8,794.  Her liabilities are $2,670 in credit card debt and $3,622 for a student loan.  What is her net worth?
a)
$6,124
b)
$15,086
c)
-$4,328
d)
$2,502
75.
Identify the transformation from ABC to A'B'C'.
a)
90o clockwise rotation
b)
90o counter clockwise rotation
c)
Reflection across the y-axis
d)
Reflection across the x-axis
76.
Triangle ABC is going to be translated. Where would  A' position be at, if the translation was be (x,y) --> (x+3, y-2)?
a)
(-1,3)
b)
(5,3)
c)
(5,8)
d)
(3,5)
77.
When you dilate, you ______ x and y by the scale factor.
a)
Multiply
b)
Add
c)
Subtract
d)
Divide
78.
How is triangle A rotated to be triangle Y?
a)
180 clockwise
b)
90 clockwise
c)
90 counter-clockwise
79.
What transformation is happening?
(x, y) ----> (x + 2, y - 3) 
a)
slide up 2, left 3
b)
slide right 2, up 3
c)
slide right 2, down 3
d)
slide left 3, right 2
80.
You flip a nickel three times.
Find the probability that all flips will land on tails.
a)
1/2
b)
1/4
c)
1/6
d)
1/8
81.
You spin this spinner 3 times.
Find the probability of these 3 events.
P(red, odd, 3)
a)
1/216
b)
1/72
c)
1/36
d)
1/12
82.
You roll two die.
What is the probability you will roll a 4, then roll a number less than 3?
a)
1/36
b)
1/18
c)
1/9
d)
1/6
83.

In a drawer, there are 6 white socks, 4 black socks, and 2 brown socks. You pick out a sock, replace it, then pick out a 2nd sock. What is the probability that you will pick a brown, then black sock?

a)

1/11

b)

1/18

c)

1/36

d)

2/33

84.
What is the probability of drawing a black card from a deck of cards, putting it aside, and then drawing a red card?
a)
Independent
b)
Dependent
85.
You have a bag of 10 marbles. Four are red and 6 are blue. What is the probability of drawing a red marble, putting it back in the bag, and then drawing another red marble?
a)
Dependent
b)
Independent
86.
What is the minimum value?
a)
64
b)
58
c)
66
d)
60
87.
What is the maximum value?
a)
58
b)
66
c)
64
d)
60
88.
What data value is the upper quartile (Q3)?
a)
64
b)
62
c)
66
d)
58
89.
What percent of the data is between 25 and 30 on the number line?
a)
25%
b)
`50%
c)
75%
d)
100%