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WorksheetsSherwood Algebra Camp
Total questions: 104
Worksheet time: 7hrs 52mins
Name
Class
Date
1.
Convert 0.769769769... to a fraction.
a)
769/999
b)
769/1000
c)
769/100
d)
769/99
2.
Pi belongs to which of the following types of numbers? (There may be one or more answers... please select all answer choices that apply)
a)
Irrational
b)
Rational
c)
Integer
d)
Whole
e)
Natural
3.
Express 10.127777... using bar notation.
a)
b)
c)
d)
4.
Convert 0.444... to a fraction.
a)
4/10
b)
4.4/99
c)
4/9
d)
2/5
5.
.141414141414...
a)
Rational
b)
Irrational
6.
√7
a)
Rational
b)
Irrational
7.
√25
a)
Rational
b)
Irrational
8.
simplify 5x3 2x2
a)
10x5
b)
3x
c)
10x6
d)
7x5
9.
What is the cube root of -216?
a)
72
b)
-72
c)
-6
d)
6
10.
Using exponents, simplify the following expression:
z-3 * z6 * z-3
a)
1
b)
z6
c)
z54
d)
1/z6
11.
Simplify the expression
a)
x2/2
b)
2/x14
c)
2x14
d)
2/x2
12.
Anything raised to a power of zero is always:
a)
0
b)
1
c)
itself
d)
negative
13.
Simplify
(y³)⁵
(y³)⁵
a)
y¹⁵
b)
y⁸
c)
y⁻²
d)
y
14.
-14x7/7x
a)
-2x6
b)
-2x
c)
-2x5
d)
-2x8
15.
Which expression is equivalent to the given?
a)
b)
c)
d)
16.
Simplify the exponential expression.
a)
2x6y12
b)
2x5y7
c)
8x6y12
d)
8x5y7
17.
Simplify the expression.
(6x2)(-3x5)
(6x2)(-3x5)
a)
18x7
b)
-18x7
c)
18x7
d)
3x7
18.
If x3 = -27, then x equals
a)
-3
b)
-9
c)
+3 and -3
d)
+9 and -9
19.
Select the answer with all perfect squares.
a)
-144, 9, 50, 75, 81, 100
b)
9, 50, 75, 81, 100
c)
9, 50, 81, 100
d)
9, 81,100
20.
In between what two integers is √44?
a)
3 and 4
b)
4 and 5
c)
5 and 6
d)
6 and 7
21.
Find the cube root.
a)
-5
b)
5
c)
4
d)
-4
22.
How would you write 4.3756 x 104 in standard form?
a)
437,560,000
b)
0.00043756
c)
43,756
d)
4,3756
23.
How would you write 0.0005 in scientific notation?
a)
50 x 10-5
b)
5 x 10-4
c)
5 x 103
d)
.5 x 103
24.
Which of the following is correct scientific notation?
a)
20.35 x 104
b)
.2035 x 104
c)
2035 4
d)
2.035 x104
25.
Express the following in scientific notation:
.000457
.000457
a)
457 x 106
b)
457 x 10-6
c)
4.57 x104
d)
4.57 x 10-4
26.
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
27.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
28.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
29.
What type of slope does the following graph have?
a)
Postive
b)
Negative
c)
Zero Slope
d)
Undefined
30.
How do you calculate slope using a graph?
a)
rise over run
b)
run over rise
c)
look at the y intercept
d)
look at the x intercept
31.
What is the slope in the equation y=2x + 3?
a)
2
b)
3
c)
5
d)
Cannot be Determined
32.
Given that the slope is -4 and the y intercept is -4 what is the equation of the line?
a)
y = 4x - 4
b)
y = -4x - 4
c)
y = -4
d)
y = -4x + 4
33.
Identify the slope-intercept equation:
a)
y = 2x - 2
b)
y = -2x + 2
c)
y = -2x + 4
d)
y = 2x + 4
34.
Change the following to slope-intercept form:
5x - 5y = 25
REALLY Write this on your paper and work it out!
5x - 5y = 25
REALLY Write this on your paper and work it out!
a)
y = x - 5
b)
y = 5x - 1
c)
y = -x + 5
d)
y = 5x + 1
35.
-4x + 1 = 21
a)
x=120
b)
x=5
c)
x=30
d)
x=-5
36.
Solve:
2(4x - 3) - 8 = 4 + 2x
2(4x - 3) - 8 = 4 + 2x
a)
x = 5/3
b)
x = 3
c)
x = 1
d)
x = 2
37.
Solve the equation
-8x - 8 + 3(x - 2) = -3x + 2
-8x - 8 + 3(x - 2) = -3x + 2
a)
x = -8
b)
x = 8
c)
x = 2
d)
x = -2
38.
What is the solution?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(0, 1)
39.
Solve for x and y
3x + 2y = 16
7x + y = 19
3x + 2y = 16
7x + y = 19
a)
(-2,5)
b)
(-2,-5)
c)
(2,-5)
d)
(2,5)
40.
Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes. Which system of equations represents the situation?
a)
3x + 2y = 315
2x + 4y = 450
2x + 4y = 450
b)
3x + 2y = 450
2x + 4y = 315
2x + 4y = 315
c)
2x + 2y = 315
3x + 4y = 450
3x + 4y = 450
41.
Give the solution to the system.
a)
(3,1)
b)
(1,3)
c)
(-1,3)
d)
(1, -3)
42.
If a system of linear equations has one solution, what does this mean about the two lines?
a)
Parallel lines
b)
the same line
c)
Intersecting lines
43.
What is the solution?
a)
1
b)
-2
c)
(1, 2)
d)
(1, -1)
44.
If a system of equations has no solution, what does the graph look like?
a)
intersecting lines
b)
parallel lines
c)
skew lines
d)
intersecting lines
45.
What is the solution to the system of equations graphed below?
a)
No Solution
b)
Infinite Solutions
c)
One Solution: (0, 2)
d)
One Solution: (2, 6)
46.
a)
Function
b)
Not a Function
47.
Is this table a function or not a function?
a)
Function
b)
Not a Function
48.
Which set of values is a function?
a)
(9,5) (10,5) (9,-5) (10,-5)
b)
(3,4) (4,-3) (7,4) (3, 8)
c)
(6,-5) (7, -3) (8, -1) (9, 1)
d)
(2, -2) (5, 9) (5, -7) (1, 4)
49.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
50.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
51.
Given
f(x)= 2x2 + 5x - 17, find f(-1).
f(x)= 2x2 + 5x - 17, find f(-1).
a)
f(-1) = -20
b)
f(-1) = -24
52.
Is this table a function or not a function?
a)
Function
b)
Not a Function
53.
Which graph does NOT pass the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
54.
Determine the slope and y-intercept. y = 3/2x + 3
a)
slope: 5 y-intercept: (0,3)
b)
slope: 3/2 y-intercept: (0,3)
c)
slope: 4 y-intercept: (0,3/2)
d)
slope: 1/5 y-intercept: (0,5)
55.
Determine whether the relation is a function.
a)
Yes
b)
No
56.
Randy charges his tenants $400 each month to rent his houses plus $600 security deposit. In the new year, the property taxes increased on the area where he rents so as a result he must increase the rate of change by $25 to ensure his profits are not harmed. What equation best represents how much his tenants will now have to pay?
a)
y = 425x + 600
b)
y = 425 + 600x
c)
y = 400x + 625
d)
y = 400 + 625x
57.
Is the graph pictured a linear or nonlinear function?
a)
Linear
b)
Nonlinear
58.
Which ordered pair is a solution of
the equation
y = 6x?
the equation
y = 6x?
a)
(12, 2)
b)
(4, 18)
c)
(3, 18)
d)
(6, 1)
59.
Which of the following situations
corresponds to this graph?
corresponds to this graph?
a)
A bicyclist accelerates from a stop, travels at
a constant speed, then slows to a stop.
b)
A car accelerates from a stop,
travels at a constant speed, slows,
and then travels at a slower speed.
travels at a constant speed, slows,
and then travels at a slower speed.
60.
Which of the following situations
corresponds to this graph?
corresponds to this graph?
a)
A car, accelerates from a stop,travels at a constant speed, slows,
and then travels at a slower speed.
and then travels at a slower speed.
b)
An airplane travels at a constant
speed then decelerates to a slower speed.
speed then decelerates to a slower speed.
c)
An athlete warms up by walking
around the track, runs, then jogs.
around the track, runs, then jogs.
d)
A bicyclist accelerates, travels at a
constant speed, then slows to a
stop.
constant speed, then slows to a
stop.
61.
Flipping a figures is a ...
a)
Rotation
b)
Reflection
c)
Dilation
d)
Translation
62.
Reflect over x-axis. Which point would be at (3, -6)
a)
A
b)
B
c)
C
d)
H
63.
Find K' if the figure is reflected across the x-axis
a)
(4, 1)
b)
(-1, -4)
c)
(1, -4)
d)
(1, 4)
64.
Determine where X' would be if you translated X 3 units to the left and 9 units down.
a)
(-4, 4)
b)
(-10, 2)
c)
(-4, -5)
d)
(-1, 5)
65.
How is trapezoid ABCD translated to trapezoid A'B'C'D'?
a)
Translated 5 units down and 5 units to the right
b)
Translated 5 units down and 1 to the right
c)
Translated 8 units down and 5 units to the right
d)
Translated 5 units down and 4 units to the right
66.
Are the following similar? Why or why not?
a)
Yes
b)
No, the corresponding angles are not equal.
c)
No, the ratios of the corresponding sides are not equal.
67.
Tell whether the two figures are similar. Explain your reasoning. (Hint: are they proportional?)
a)
Yes, similar because they are the same shape and side lengths are proportional.
b)
No, not similar because they are the same shape, but side lengths are not proportional.
c)
Yes, same shape
d)
No, different sizes
68.
The point A (8, 12) was dilated to become point A' (2, 3). What was the scale factor?
a)
½
b)
¼
c)
4
d)
2
69.
When a dilation has a scale factor greater than one, the dilation is an enlargement.
a)
True
b)
False
70.
State the coordinate of the image of the given point G (-10,-6) under a dilation with center at the origin with the given scale factor of 1/2.
a)
G' (5,3)
b)
G' (20,12)
c)
G' (-20,-12)
d)
G' (-5,-3)
71.
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
72.
The black triangle was dilated to the blue triangle. Choose the correct scale factor:
a)
2
b)
3
c)
1/3
d)
1/2
73.
Which of the following terms describes the relationship between angle 3 and angle 7
a)
alternate exterior angles
b)
alternate interior angles
c)
corresponding angles
d)
vertical angles
74.
The measure of angle 1 is the same as the measure of how many other labeled angles in the figure?
a)
1
b)
2
c)
3
d)
4
75.
What it the measurement for angle 1?
a)
140o
b)
180o
c)
40o
d)
160o
76.
What it the measurement for angle 9?
a)
140o
b)
180o
c)
40o
d)
160o
77.
Name the corresponding angle to angle 4.
a)
angle 8
b)
angle 6
c)
angle 2
d)
angle 5
78.
Angle 1 = 27o
Find the measure of angle 2
Find the measure of angle 2
a)
27o
b)
153o
c)
63o
d)
90o
79.
What is the supplement angle to 45°?
*REMEMBER WHAT SUPPLEMENTARY ANGLES ADD TOO!
*REMEMBER WHAT SUPPLEMENTARY ANGLES ADD TOO!
a)
45°
b)
180°
c)
135°
d)
100°
80.
a)
∠B=82°
b)
∠B=98°
c)
∠B=180°
d)
∠B=8°
81.
What is the value of the missing angle?
a)
61
b)
50
c)
60
d)
69
82.
What is the measure of angle b?
a)
36o
b)
56o
c)
63o
d)
117o
83.
Find the measure of angle A.
a)
44o
b)
96o
c)
-14o
d)
63o
84.
What is the height of the cone?
a)
14 cm
b)
8 cm
c)
12 cm
d)
13.9 cm
85.
A 10-foot ladder is leaning against the wall. The bottom of the ladder is 4 feet from the base of the wall. Which of the following is closest to the distance from the top of the ladder to the base of the wall?
a)
9ft
b)
11ft
c)
6ft
d)
14ft
86.
Find the length of the missing side.
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
87.
Determine the length of the missing side.
a)
7
b)
8
c)
17
d)
23
88.
What is the distance between points (3, -5) and (3, -8)?
a)
1 unit
b)
2 units
c)
3 units
d)
4 units
89.
Find the distance.
a)
7.1
b)
7.8
c)
(6, 4.5)
d)
(2.5, 8)
90.
Find the Volume of the Cone
a)
150.72 cm³
b)
75.36 cm³
c)
452.16 cm³
d)
151 cm³
91.
The Sphere above has a diameter of 20 centimeters.What would be the volume of the sphere?
a)
4,188.8
b)
1,333.3
c)
2,364.3
d)
5,000.3
92.
A cylinder shaped jar has a radius of 2 cm and a height of 6 cm. What’s the volume of the jar?
a)
301.44 cubic cm
b)
125.93 cubic cm
c)
75.36 cubic cm
d)
67.89 cubic cm
93.
Choir is selling Pringle Chips to raise money for a field trip. The container has a diameter of 9 inches and a height of 32 inches.
Which equation can be used to find the volume of the container?
Which equation can be used to find the volume of the container?
a)
V = π(9)
b)
V = π(4.5)2(32)
c)
V = π(9)2(32)
d)
V = π(4.5)(32)
94.
Which scatter plot shows a linear relationship between x and y?
a)
Graph A
b)
Graph B
c)
Graph C
d)
Graph D
95.
What type of association does this scatter plot show?
a)
positive linear association
b)
negative linear association
c)
no association
d)
nonlinear association
96.
The scatter plot below shows the number of books read by students in Mrs. Hall’s English class and their final grades. Which statement represents the best description about the line of best fit?
a)
The more books students read, the lower their English grade.
b)
The more books students read, the higher their English grade.
c)
The fewer books students read, the higher their English grade.
d)
No relationship exists between the number of books students read and their English grades.
97.
Which relationship could be represented by this scatter plot?
a)
As the number of muffins in a box increases, the price increases.
b)
As the speed of a car increases, the distance the car travels increases.
c)
As the population of a city increases, the number of schools in the
city increases.
d)
As the number of daylight hours increases, the number of night hours decreases.
98.
What percent of the total people attended neither?
a)
15%
b)
19%
c)
.15
d)
7%
99.
What percent of people who attended the basketball game also attended the school play?
a)
38%
b)
47%
c)
25%
d)
54%
100.
What percentage of males drive sports cars?
a)
35%
b)
16.25%
c)
65%
d)
25%
101.
Out of those surveyed, what is the probability that the student is a boy who can't bike to school (in simplest form)?
a)
4/30
b)
7/30
c)
6/15
d)
14/30
102.
Scientist found the mass of two molecules.
-Molecule A: 4.3 x 106
-Molecule B: 9.2 x 109
How much larger is Molecule B than Molecule A?
a)
21
b)
210
c)
2100
d)
21000
103.
What is the relative frequency of students speaking Arabic?
a)
32%
b)
24%
c)
10%
d)
2%
104.
What is the relative frequency of cheetahs at the refuge?
a)
25%
b)
20%
c)
16%
d)
100%
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