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WorksheetsStudy Guide for Final Semester #2 Math 8
Total questions: 110
Worksheet time: 10hrs 53mins
Name
Class
Date
1.
A jar contains 2 green marbles, 4 blue marbles, 3 yellow marbles, and 2 black marbles. A marble is chosen at random from the jar and replaced. Then a second marble is chosen at random. Find the probability of the first marble being green and the second marble being yellow.
a)
4/121
b)
8/121
c)
3/121
d)
6/121
2.
A bag contains 5 yellow, 4 green, and 2 blue marbles. One marble is drawn and immediately put back in the bag. Then a second marble is drawn. Identify whether the events are independent or dependent.
a)
Independent
b)
Dependent
3.
Two cards are chosen at random from a standard deck of 52 cards without replacement. What is the probability of choosing two kings?
a)
1/26 = 3.85%
b)
1/69 = 1.45%
c)
1/221 = 0.45%
d)
4/663 = 0.60%
4.
How many total outfit options are represented?
a)
12
b)
22
c)
3
5.
You roll a six sided die. What is the probability of rolling an even number three times in a row?
a)
3/100
b)
1/2
c)
1/6
d)
1/8
6.
A fruit basket contains
9 apples, 3 bananas, 7 oranges, 5 pears, and 1 grapefruit. Kyle randomly chooses a fruit, does not replace it, then chooses another. What is the probably that he chose two pears?
9 apples, 3 bananas, 7 oranges, 5 pears, and 1 grapefruit. Kyle randomly chooses a fruit, does not replace it, then chooses another. What is the probably that he chose two pears?
a)
9/49
b)
4/125
c)
1/10
d)
1/30
7.
A bag contains 5 blue marbles, 4 red marbles, and 3 orange marbles. Mrs. Cox picks one without looking, replaces it and picks another one. What is the probability that she picks two that are not orange?
a)
9/16
b)
3/4
c)
9/144
d)
5/16
8.
Find the experimental probability:
Roll dice: 1, 3, 3, 4, 4
P(1) =
a)
3/5
b)
1/6
c)
2/5
d)
1/5
9.
A dilation produces a similar figure
a)
True
b)
False
10.
When a dilation has a scale factor greater than one, the dilation is an enlargement.
a)
True
b)
False
11.
Dilate Point B by a scale factor of 3:
a)
(12,0)
b)
(12,12)
c)
(4,3)
d)
(0,12)
12.
A slide is also called a _________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
13.
A turn is also called a ___________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
14.
Describe the Transformation
a)
Translation
b)
Rotation
c)
Reflection
15.
Reflecting over the y-axis changes the ____-_____________.
a)
x-axis
b)
x-coordinate
c)
y-coordinate
d)
none of the above
16.
Translate the point A (-3, 4) right 5 and up 1
a)
(-2, 9)
b)
(-8, 5)
c)
(8, 3)
d)
(2, 5)
17.
If you were to rotate ABCD 180° about the origin, what would the coordinate of A' be?
a)
(-5, 5)
b)
(-3, -5)
c)
(-5, 3)
d)
(-3, 3)
18.
Write a rule for the translation.
a)
(x -1, y + 2)
b)
(x -2, y + 1)
c)
(x +2, y - 1)
d)
(x +1, y - 2)
19.
solve for c
a)
7
b)
9
c)
4
d)
13
20.
What is the distance between the two points? (-2,1) (4,3)
a)
6.3
b)
6.5
c)
6.7
d)
16
21.
Jack wants to know how much water sphere can hold with a radius of 8 cm. Find the volume.
a)
83.6cm³
b)
2144.7cm³
c)
254cm³
d)
2220cm³
22.
Find the surface area.
a)
6658.56 mm2
b)
452.16 mm2
c)
904.32 mm2
d)
108.8 mm2
23.
find the volume of this figure?
a)
190cm3
b)
200cm3
c)
140cm3
d)
192cm3
24.
V = ?
a)
14.13 in3
b)
56.52 in3
c)
169.56 in3
25.
What shape will the horizontal cross-section of a sphere be?
a)
Dome
b)
Circle
c)
Ellipse
d)
Rectangle
26.
What shape will the vertical cross-section of a cube be?
a)
Square
b)
Triangle
c)
Trapezoid
d)
Circle
27.
A box contains 5 purple marbles, 3 green marbles and 2 orange marbles. Draws are made without replacement.P(both marbles are purple)
a)
2/9
b)
1/3
c)
1/2
d)
1/4
28.
The legs form what type of angle?
a)
Acute
b)
Obtuse
c)
Reflex
d)
Right
29.
The Pythagorean Theorem ONLY works on which triangle?
a)
obtuse
b)
scalene
c)
isosceles
d)
right
30.
What is the opposite of squaring a number?
a)
divide
b)
multiply
c)
fractions
d)
square root
31.
The Pythagorean Theorem is
a2 + b2 + c2
a2 + b2 + c2
a)
false
b)
true
32.
Which set of sides would make a right triangle?
a)
4,5,6
b)
8,10,12
c)
5,12,13
d)
5,10,12
33.
a)
A
b)
B
c)
C
d)
D
34.
a)
A
b)
B
c)
C
d)
D
35.
a)
10.4 ft
b)
7.0 ft
c)
6.5 ft
d)
9.5 ft
36.
a)
28.3 km
b)
47.0 km
c)
35.3 km
d)
21.9 km
37.
Find the length of the missing side.
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
38.
Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?
a)
17 miles
b)
32 miles
c)
37 miles
d)
40 miles
39.
Which of the following sentences would belong in the proof that describes this image?
a)
The sum of the areas of the two smaller squares is equal to the area of the large square.
b)
The sum of the side lengths of the two smaller squares is equal to the side length of the large square.
c)
The difference of the areas of the two smaller squares is equal to the area of the large square.
d)
The differences of the side lengths of the two smaller squares is equal to the side length of the large square.
40.
A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across. What is this distance?
a)
210 m
b)
180 m
c)
150 m
d)
79 m
41.
Find the area:
a)
84 m2
b)
168 m2
c)
112 m2
d)
56 m2
42.
Find the area.
a)
27.3 mi2
b)
54 mi2
c)
27 mi2
d)
54.6 mi2
43.
What is the area of this circle?
a)
50.24 sq cm
b)
25.12 sq cm
c)
12.56 sq cm
d)
157.75 sq cm
44.
To calculate the amount of carpeting needed for your bedroom, which of the following should you find:
a)
Area
b)
Perimeter
c)
Surface Area
d)
Volume
45.
10. A fish-tank has a length of 45 centimeters, a width of 25 centimeter and a depth of 10 centimeter. Find the volume of the fish-tank.
a)
10250 cm3
b)
11250 cm3
c)
11250 ft3
d)
10250 ft3
46.
A truck has a volume of 1,800 ft³. How many washing machines can be packed into the truck?
a)
16
b)
29
c)
18
d)
12
47.
A bicycle tire has a diameter of 27 inches. How far does the bike travel along the ground when the wheel rotates once? What is the circumference of this tire?
a)
84
b)
15.5
c)
27
d)
13
48.
Find the Total Surface area of the cylinder.
a)
62.8m
b)
477.28 cm2
c)
235.5 cm3
d)
942 cm2
49.
Campbell Soup is creating a new soup label. If a can has a height of 6 in and a diameter of 4 in, how much material does Campbell need for each soup label? Use 3.14 for π.
Is this looking for Lateral or Total surface area?
Is this looking for Lateral or Total surface area?
a)
Lateral
b)
Total
50.
Find the surface area of the cube.
a)
150 cm2
b)
125 cm2
c)
60 cm2
d)
30 cm2
51.
Find the volume of the cylinder.
a)
4239
b)
1696
c)
1130
d)
565
52.
What is the volume of a sphere with the radius of 4 inches ? Use 3.14 for pi.
a)
561.5 in³
b)
267.9 in³
c)
201 in³
d)
803.8 in³
53.
Find the surface area.
a)
6658.56 mm2
b)
452.16 mm2
c)
904.32 mm2
d)
108.8 mm2
54.
Solve the inequality.
x + 5 ≤ 13
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8
d)
x ≤ 18
55.
Pick the correct letter for:
6 > x
6 > x
a)
A
b)
B
c)
C
d)
D
56.
-4x + 14 ≤ 54
a)
x ≥ -10
b)
x ≤ -10
c)
x ≥ 10
d)
x ≤ 10
57.
Will my dot be colored in?
5 ≥ x
5 ≥ x
a)
Yes
b)
No
58.
Do I need to flip my sign?
3x ≥ 12
3x ≥ 12
a)
Yes
b)
No
59.
14 < -2a + 6 - 2a
a)
a > -2
b)
a < -2
c)
a > 2
d)
a < 2
60.
The number under the radical sign or square root sign is called the ______.
a)
radical sign
b)
radicand
c)
factor
d)
exponent
61.
Simplify: √48
a)
√4√12
b)
4√12
c)
4√3
d)
2√3
62.
Simplify:
a)
5√2
b)
0
c)
2√2
d)
-3√2
63.
Simplify the following radical: √220
a)
2√55
b)
4√55
c)
2√12
d)
5√22
64.
Simplify the following radical: √32
a)
3√2
b)
4√8
c)
16√2
d)
4√2
65.
Simplify the following radical: √196
a)
2√49
b)
14
c)
7
d)
2√98
66.
In simplest radical form,
√75 is equivalent to
√75 is equivalent to
a)
25√3
b)
25√3
c)
5√3
d)
3√5
67.
What type of association does this graph have?
a)
positive
b)
negative
c)
none
d)
all of the above
68.
What type of association does this scatter plot represent?
a)
positive linear association
b)
negative association
c)
no association
d)
nonlinear association
69.
The following scatter plot shows Pam's training as she prepares to run a 6 mile race at the end of the month. Which of the following would be a reasonable approximation for the length of time it would take for her to run 6 miles?
a)
A. 50 min
b)
B. 80 min
c)
C. 45 min
d)
D. 60 min
70.
What type of number is π ?
a)
Rational
b)
Irrational
71.
√25
a)
Rational
b)
Irrational
c)
real
d)
fake
72.
The √40 is between which two integers?
a)
7 & 8
b)
6 & 7
c)
5 & 6
d)
4 & 5
73.
What is the first step (after setting up your workspace) in solving this equation:
5x + 7 = 12
5x + 7 = 12
a)
Divide by 5
b)
Subtract 5
c)
Multiply by 7
d)
Subtract 7
74.
x / 2 + 5 = 13
a)
32
b)
33
c)
36
16
16
75.
Solve the equation:
3(x - 1) = 2x + 9
3(x - 1) = 2x + 9
a)
x = 12
b)
no solution
c)
x = 10
d)
x = 6
76.
Solve the equation:
3x - x + 2 = 4(2x - 1)
3x - x + 2 = 4(2x - 1)
a)
infinite solutions
b)
x = 1
c)
x = -1
d)
no solution
77.
Describe the solution set:
2(x + 5) = 2x + 5
2(x + 5) = 2x + 5
a)
one solution
b)
no solution
c)
infinitely many solutions
d)
two solutions
78.
Solve the equation:
½ (2x + 6) = 3x + 13
½ (2x + 6) = 3x + 13
a)
no solution
b)
x = 8
c)
x = -5
d)
x = 7
79.
-2 (x+2) < 14
a)
x < - 5
b)
x > -5
c)
x < -9
d)
x > -9
80.
Is this mapping a function or not a function?
a)
Function
b)
Not a Function
81.
Is this table a function or not a function?
a)
Function
b)
Not a Function
82.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
83.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
84.
Which of the following expressions is written in scientific notation?
a)
62.5 x 105
b)
0.2035 x 10-5
c)
2.47 x 110
d)
5.093 x10-4
85.
Express 0.0005 in scientific notation.
a)
5 x 10-3
b)
5 x 10-4
c)
5 x 104
d)
5 x 103
86.
Simplify:
(2.1×102)(3.0×104)
(2.1×102)(3.0×104)
a)
5.1 x 108
b)
6.3 x 106
c)
5.1 x 106
d)
6.3 x 108
87.
Simplify:
a)
3.8 × 104
b)
3.8 × 109
c)
3.0 × 104
d)
3.0 × 109
88.
According to exponent rules, when we multiply the same base we _______ the exponents.
a)
Multiply
b)
Add
c)
Divide
d)
Subtract
89.
Anything raised to a power of zero is always:
a)
0
b)
1
c)
itself
d)
negative
90.
According to exponent rules, when we raise the power to a power we _______ the exponents.
Example: (d2)5
Example: (d2)5
a)
add
b)
subtract
c)
multiply
d)
divide
91.
Rewrite the expression as a power.
(24)(25)
(24)(25)
a)
220
b)
49
c)
420
d)
29
92.
Simplify
x⁻⁶
x⁻⁶
a)
1 ⁄ x⁶
b)
x⁶
c)
-x⁶
d)
-1 ⁄ x⁶
93.
(5 x 10⁶) + (3 x 10⁶)
a)
8 x 10⁶
b)
8 x 10¹²
c)
8 x 10⁰
d)
8
94.
(9.5 x 10⁻³) - (1.4 x 10⁻³)
a)
8.1 x 10 ⁻³
b)
8.1 x 10⁻⁶
c)
8.1 x 10 ⁰
d)
8.1
95.
(9 x 10 ⁻²) + (7 x 10⁻³)
a)
9.7 x 10⁻²
b)
7.9 x 10⁻³
c)
15 x 10⁻³
d)
1.5 x 10⁻²
96.
(4.6 x 10⁴) - (2.3 x 10²)
a)
4.577 x 10⁴
b)
2.3 x 10²
c)
4.83 x 10⁴
d)
4.577 x 10²
97.
Solve for x when x2 = 144
a)
4
b)
11
c)
12
d)
14
98.
Solve for x when x3 = 125
a)
5
b)
10
c)
12
d)
15
99.
Which operation would you do first?
2 · (15 - 2) ÷ 5
2 · (15 - 2) ÷ 5
a)
Addition
b)
Subtraction
c)
Multiplication
d)
Division
100.
Find the slope of the line that passes through the points (2, 4) and (6, 12)
a)
1/2
b)
-1/2
c)
2
d)
-2
101.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
102.
What direction is an undefined slope?
a)
horizontal
b)
vertical
103.
What is the slope?
a)
$2/1 mile drive
b)
$1/2 miles driven
c)
2 miles driven/$1
d)
1 mile driven/$2
104.
Which of the following are ways to find the rate of change?
a)
change in y over change in x
b)
rise over run
c)
subtract y coordinates over subtract x coordinates
d)
all of the above
105.
What does "m" represent in y=mx+b?
a)
y-intercept
b)
slope
c)
macaroni
d)
nothing
106.
What is the slope in the equation: y=4x+3
a)
3
b)
4x
c)
4
d)
x
107.
What is the y-intercept in the following equation: y=-4x-5
a)
-4
b)
-4x
c)
5
d)
-5
108.
How would you write the equation with a slope of 2/3 and a y-intercept of -3
a)
y=3/2x+3
b)
y=2/3-3
c)
y=2/3x-3
d)
y=2/3x+3
109.
Write the equation for the line in slope-intercept form.
a)
y= -1x+3
b)
y= 4x+3
c)
y=1/4x+3
d)
y= -4x+3
110.
Write the equation of the line.
a)
y= -1x-3
b)
y= -3x-1
c)
y=-1/3x-1
d)
y= -3x-3
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