WorksheetsAlgebra CLASS SBAC Practice for 8th grade
Total questions: 37
Worksheet time: 1hrs 2mins
Name
Class
Date
1.
Erin is 3 years younger than twice Alex's age. Their ages combined are 33 years. How old are Alex and Erin. If x=Erin's age and y=Alex's age, choose the system that matches the situation.
a)
x + y = 33
y = 2x - 3
y = 2x - 3
b)
x + y = 33
x = 2y - 3
x = 2y - 3
c)
x + y = 33
x = 3 - 2y
x = 3 - 2y
d)
x + y = 3
x = 33 - 2y
x = 33 - 2y
2.
What is the relationship between the volume of a cone and cylinder when they both have the same radius and height?
a)
The cylinder is 1/3 the volume of the cone.
b)
The cone is 1/3 the volume of the cylinder.
c)
They have the same volume.
d)
Their volumes are not related at all.
3.
What type of association does this graph have?
a)
positive
b)
negative
c)
none
d)
all of the above
4.
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
5.
The scatter plot shows the relationship between the number of chapters and the total number of pages for several books. Use the trend line to predict how many chapters would be in a book with 180 pages.
a)
12 chapters
b)
15 chapters
c)
18 chapters
d)
21 chapters
6.
The number of siblings you have and your weight.
a)
Positive correlation
b)
Negative correlation
c)
No correlation
d)
All of the above
7.
As x increases, y increases
a)
correlation coefficient
b)
causation
c)
positive correlation
d)
negative correlation
8.
Find the slope for the trend line using points (2,2) and (4,3)
a)
2
b)
1/2
c)
-2
d)
-1/2
9.
Which scatter plot shows a linear relationship between x and y?
a)
Graph A
b)
Graph B
c)
Graph C
d)
Graph D
10.
As the age of the car increases, its value decreases. Which scatterplot represents this relationship?
a)
A
b)
B
c)
C
d)
D
11.
Which choice best defines the term "linear function"?
a)
An equation that is the bomb diggity
b)
An equation that can be written in slope-intercept form
c)
An equation with an exponent in it
d)
An equation that has a slope but not a y-intercept
12.
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.
13.
What is a line of best fit used for?
a)
To make predictions
b)
To make the graph look pretty
c)
To connect the points
d)
To make it look like you know what you are doing
14.
In the figure, triangle PQR has vertices P(0, −1), Q(3, −1) and R(5, −3). What are the vertices of the image after the translation (x, y) → (x − 5, y + 1)?
a)
P′ (1, −6), Q′ (4, −6), R′ (6, −8)
b)
P′ (−5, 0), Q′ (−2, 0), R′ (0, −2)
c)
P′ (5, −2), Q′ (8, −2), R′ (10, −4)
d)
P′ (−1, 4), Q′ (2, 4), R′ (4, 2)
15.
The point (a, b) is reflected over the y-axis, then the x-axis, then the y-axis again, and then the y-axis again. What are the coordinates of the new point?
a)
(−a, b)
b)
(−a, −b)
c)
(a, −b)
d)
(a, b)
16.
Which reflection does the image show?
a)
Reflection across the x-axis according to the rule (x, y) → (x, −y)
b)
Reflection across the y-axis according to the rule (x, y) → (x, −y)
c)
Reflection across the x-axis according to the rule (x, y) → (−x, y)
d)
Reflection across the y-axis according to the rule (x, y) → (−x, y)
17.
A figure has a vertex at (a, b), in which a is a positive integer and b is a positive integer. What is the algebraic rotation rule that takes the figure to Quadrant III?
a)
(x, y) → (y, −x)
b)
(x, y) → (−x, −y)
c)
(x, y) → (−y, x)
d)
(x, y) → (x, y)
18.
How far has the figure been rotated?
a)
45°
b)
90°
c)
180°
d)
360°
19.
The rectangle above is rotated 90° clockwise. Which shows the image of the rectangle after the rotation?
a)
Graph F
b)
Graph G
c)
Graph H
d)
Graph J
20.
Which rule would give the translation from point P (2, 5) to the image P′ (−1, 7)?
a)
Move 3 units left and 2 units up.
b)
Move 3 units right and 2 units up.
c)
Move 3 units left and 7 units up.
d)
Move 2 units right and 2 units up.
21.
Students in a group of chess teams submitted data about hours of team practice and the number of matches the team won. The graph shows the results of the data. Based on the linear regressions equation y = 3.14x + 3.52, if a team practices 4.5 hours per week next year, which is the best prediction of the number of chess matches a team could expect to win?
a)
about 24
b)
about 12
c)
about 8
d)
about 18
22.
What is the measure of angle b?
a)
36o
b)
56o
c)
63o
d)
117o
23.
The formula for the Volume of ...
a)
Spheres
b)
Cones
c)
Cylinders
24.
Find the Volume of the Cone
a)
150.72 cm³
b)
75.36 cm³
c)
452.16 cm³
d)
151 cm³
25.
Find the Volume if the height is 10 cm and radius 3 cm?
a)
250
b)
200
c)
283
d)
180
26.
You have a globe that has a radius of 11 inches. Find the volume of your globe.
a)
523 in3
b)
16,717 in3
c)
5,575 in3
d)
7,235 in3
27.
Mike created a cone that has a diameter of 8 feet and a height of 3 feet. Find the volume of this cone.
a)
50.24 ft3
b)
150.72 ft3
c)
not here
d)
192.65 ft3
28.
The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Which equations represents the system that could be used?
a)
1s + 3c = 38
2s + 3c = 52
2s + 3c = 52
b)
3s + 1c = 38
3s + 2c = 52
3s + 2c = 52
c)
s + c = 38
s + c = 52
s + c = 52
d)
3s + 3c = 38
1s + 2c = 52
1s + 2c = 52
29.
Solve for y.
a)
y = 20
b)
y = 120
c)
y = 60
d)
y = 10
30.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
31.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
32.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
33.
Name the angle relationship.
a)
Same Side Interior
b)
Alternate Interior
c)
Vertical Angles
d)
Linear Pairs
34.
Solve for x and y.
y = 2/3x - 2
y = -x + 3
y = 2/3x - 2
y = -x + 3
a)
(0,3)
b)
(0,-3)
c)
(3,0)
d)
(-3,0)
35.
Solve for x and y
y = 2x + 1
y = 4x - 1
y = 2x + 1
y = 4x - 1
a)
(1,3)
b)
(-1,-3)
c)
(-1,3)
d)
(3,1)
36.
What is the equation of the line of best fit?
a)
f(x)= 5x+1.82
b)
cannot be determined
c)
f(x)= 1.82x + 5.02
d)
f(x)= 1.1x + 4.2
37.
a)
440 turtles
b)
40 turtles
c)
150 turtles
d)
90 turtles
100 %
