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Worksheets8th Grade GA Milestones Review
Total questions: 60
Worksheet time: 2hrs 20mins
Name
Class
Date
1.
A type of transformation where a figure is “flipped” over a line of symmetry. A reflection produces a mirror image of a figure.
a)
rotation
b)
translation
c)
dilation
d)
reflection
2.
A transformation that “turns” a figure about a fixed point at a given angle and a given direction.
a)
rotation
b)
translation
c)
reflection
d)
dilation
3.
a transformation that changes the size of a figure, but not the shape
a)
translation
b)
rotation
c)
reflection
d)
dilation
4.
Triangle ABC has vertices A(5,2). Find the coordinates of ABC after a reflection over the x-axis.
a)
A’(5, -2)
b)
A’(-5, -2)
c)
A’(-5, -2)
5.
Identify the transformation from ABCD to A'B'C'D'.
a)
Translation
b)
Reflection across the x-axis
c)
Reflection across the y-axis
d)
90o counter clockwise rotation
6.
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
7.
Identify the transformation from A to D.
a)
90o Clockwise Rotation
b)
180o Rotation
c)
270o Clockwise Rotation
d)
360o Rotation
8.
Identify the transformation from A to D.
a)
90o Clockwise Rotation
b)
180o Rotation
c)
270o clockwise Rotation
d)
360o Rotation
9.
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)
10.
Triangle C is rotated 180° counterclockwise with the origin as the center of rotation to create a new figure. Which rule describes this transformation?
a)
(x,y)→(y, -x)
b)
(x,y)→(-x,-y)
c)
(x,y)→(x,y)
d)
(x,y)→(-y,x)
11.
What is the first step to solve this equation:
11 - 3x = 44
11 - 3x = 44
a)
Add 3 to both sides
b)
Subtract 11 from both sides
c)
Add 11 to both sides
d)
Divide 3 on both sides.
12.
6z + 3 -4z = 9
a)
z = 3
b)
z = 60
c)
z = 30
d)
z = 1
13.
Solve for x:
52 = -5x - 3
52 = -5x - 3
a)
x = 11
b)
x = -11
c)
x = 275
d)
x = -275
14.
Which equation has x =2 as a solution?
a)
3 + x = 10
b)
11 + x = 13
c)
4x = 32
d)
5x =25
15.
2.) Simplify
(3x3y5)4
(3x3y5)4
a)
3x12y20
b)
81x12y20
c)
12x12y20
d)
81x7y9
16.
According to exponent rules, when we multiply the same base we _______ the exponents.
a)
Multiply
b)
Add
c)
Divide
d)
Subtract
17.
(2ab)3
a)
23a3b3
b)
2ab3
c)
6a3b3
d)
6ab
18.
Volume is the amount of space an object takes up.
a)
True
b)
False
19.
V = ?
a)
14.13 in3
b)
56.52 in3
c)
169.56 in3
20.
Which cylinder will have a larger volume?
a)
Cylinder A
b)
Cylinder B
21.
The set of x-coordinates of the ordered pairs of a relation is called?
a)
range
b)
relation
c)
domain
d)
correlation
22.
Would the graph be CONTINUOUS or DISCRETE?
A girl was walking home at a steady pace. Then she stopped to talk to a friend. After her friend left, she jogged the rest of the way home.
A girl was walking home at a steady pace. Then she stopped to talk to a friend. After her friend left, she jogged the rest of the way home.
a)
Continuous
b)
Descrete
23.
Choose the best situation for the graph.
a)
A car is moving at a constant speed for several minutes. When it approaches a red light, it slows down and comes to a stop.
b)
A plant grows steadily and then has a growth spurt during the rainy season. It remains the same height for a while and then grows steadily again.
c)
A family buys a fish tank and some fish. After two weeks, they buy some more fish. After two more weeks, they buy even more fish.
d)
A monkey swings from a high branch to a lower branch. He climbs along the branch. Then he jumps to a higher branch and takes a nap.
24.
Choose the relationship that fits the table, graph, and mapping diagram.
a)
{(-1,0), (0,1), (2,1), (3,4)}
b)
{(-2,-1), (-1,1), (2,3), (3,4)}
c)
{(-4,5), (-2,3), (0,1), (2,-1)}
d)
{(-2,-1), (-1,0), (0,-1), (2,-1)}
25.
Give the domain and range. Tell if it is a function.
a)
D: {-4, -2, 0, 2}
R: {-2, -2, 1, 1}
Function
R: {-2, -2, 1, 1}
Function
b)
D: {-4, -2, 0, 2}
R: {-2, 1}
Function
R: {-2, 1}
Function
c)
D: {-4, -2, 0, 2}
R: {-2, -2, 1, 1}
Not a Function
R: {-2, -2, 1, 1}
Not a Function
d)
D: {-4, -2, 0, 2}
R: {-2, 1}
Not a Function
R: {-2, 1}
Not a Function
26.
A local parking garage charges $5.00 for the first hour plus $1.50 for each additional hour or part of an hour. Write a relation where x represents the hours, and y represents the cost. Is it a function?
a)
y = 1.50x + 5
Function
Function
b)
y = 5x + 1.50
Function
Function
c)
y = 1.50x + 5
Not a Function
Not a Function
d)
y = 5x + 1.50
Not a Function
Not a Function
27.
The table shows the value of a car for the given years. Describe the correlation illustrated by the scatter plot.
a)
Positive Correlation
b)
Negative Correlation
c)
No Correlation
d)
Complicated Relationship
28.
Bonus:
What is the relation of a vertical line?
What is the relation of a vertical line?
a)
Function
b)
Not a Function
29.
Determine whether the relation is a function.
a)
Yes
b)
No
30.
Determine whether the relation is a function?
a)
Yes
b)
No
31.
Find the x- and y- intercepts of the line.
x-3y=9
x-3y=9
a)
(-9,0), (0,3)
b)
(-3,0), (0,9)
c)
(9,0), (0,-3)
d)
(3, 0), (0,-9)
32.
What is the slope of the following line:
2x-y=9
2x-y=9
a)
-9
b)
9
c)
-2
d)
2
33.
Answer.
a)
A
b)
B
c)
C
d)
D
34.
Answer.
a)
A
b)
B
c)
C
d)
D
35.
What are complementary angles?
a)
Angles that add up to 180°
b)
Angles that add up to 90°
c)
Angles that are equal to each other
d)
Angles that are opposite of each other when lines intersect.
36.
What are vertical angles?
a)
Angles that are adjacent to each other
b)
Angles that add up to 180°
c)
Angles that are opposite of each other when lines intersect
d)
Angles that add up to 90°
37.
What are supplementary angles?
a)
Angles that add up to 180°
b)
Angles that add up to 90°
c)
Angles that are equal to each other
d)
Angles that are opposite of each other when lines intersect
38.
The supplement of an angle is 65 °. What is the measure of the angle?
a)
25°
b)
15°
c)
115°
d)
35°
39.
If angle ∠ABD is 67°. What is ∠DBC?
a)
180°
b)
90°
c)
67°
d)
23°
40.
If ∠BPD and ∠DPC have a sum of 72°. What is ∠APC?
a)
18°
b)
90°
c)
108°
d)
180°
41.
If ∠COB is 124°, then what is ∠BOD? How are they related?
a)
56°, they are supplementary
b)
90°, they are complementary
c)
124°, they are vertical
42.
These are Complementary angles. Find x.
a)
15
b)
25
c)
75
d)
90
43.
In the figure which angle is complementary to angle 1?
a)
Angle 2
b)
Angle 3
c)
Angle 4
d)
Angle 6
44.
What is the value of x?
a)
90
b)
45
c)
180
d)
51
45.
CHALLENGE: Find the values of x and y.
a)
x=7 ; y=25
b)
x=5 ; y=25
c)
x=7 ; y=5
d)
x=5; y=5
46.
What is the solution to this system?
a)
(-2, -2)
b)
(2, -2)
c)
(-2,2)
d)
(2, 2)
47.
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
48.
Solve the system by substitution.
y = −6x + 3
−18x − 3y = 4
y = −6x + 3
−18x − 3y = 4
a)
(−3, 8)
b)
(−8, −3)
c)
(2, −3)
d)
No Solution
49.
Solve the system by substitution.
5x + 4y= −14
y = −7x − 15
5x + 4y= −14
y = −7x − 15
a)
(-2, -1)
b)
(1, -2)
c)
(-2, 1)
d)
(-1, -2)
50.
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)
51.
Does the system have one, none or infinite solutions?
8x + 4y = 12
y = -2x + 3
8x + 4y = 12
y = -2x + 3
a)
(0,3)
b)
(3,0)
c)
No solution(parallel lines)
d)
Infinitely many solutions
52.
Solve the system of equations:
y=2x-4
y =2x=4
y=2x-4
y =2x=4
a)
(0,4)
b)
(4,0)
c)
infinite number of solutions
d)
no solution
53.
What type of angle pair is ∠1 and ∠5?
a)
alternate interior angles
b)
corresponding angles
c)
alternate exterior angles
d)
vertical angels.
54.
What type of angle pair is ∠1 and ∠3?
a)
alternate interior angles
b)
supplementary angles
c)
corresponding angles
d)
vertical angles
55.
In the diagram, which of the following statements are false?
a)
∠1 and ∠4 are vertical angles
b)
∠4 and ∠5 are alternate interior angles
c)
∠1 and ∠8 are alternate interior angles
d)
∠2 and ∠6 are corresponding angles
56.
Which of the following pairs of angles are corresponding angles?
a)
Angle z and Angle x
b)
Angle w and Angle t
c)
Angle t and Angle x
57.
Which of the following pairs of angles are congruent?
a)
Angle w and Angle y
b)
Angle y and Angle x
c)
Angle w and Angle z
d)
Angle t and Angle y
58.
500
a)
Is a perfect square.
b)
Is not a perfect square.
59.
142
a)
169
b)
196
c)
28
d)
144
60.
132
a)
26
b)
196
c)
144
d)
169
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