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WorksheetsPreAP 7th semester 1 review 2024
Total questions: 112
Worksheet time: 6hrs 40mins
Name
Class
Date
1.
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)
2.
Where would A' be if you translated A 3 units to the right and 4 units down?
a)
(-4, 4)
b)
(-1, 0)
c)
(0, -1)
3.
Determine where T' would be if you translated T 3 units to the right and 6 units up.
a)
(5, 1)
b)
(2, -5)
c)
(-1, 1)
d)
(8, -2)
4.
Where would point J' be if you translated point J 5 units to the left and 2 units up?
a)
(5, 3)
b)
(3, -5)
c)
(-5, 3)
d)
(-3, 5)
5.
The original figure prior to a transformation.
a)
Pre-image
b)
Image
6.
Determine how to translate triangle A'B'C' to triangle ABC. Again, read it. From A'B'C' to ABC, not ABC TO A'B'C'.
a)
(x+2, y-5)
b)
(x+2, y-9)
c)
(x-2, y-9)
7.
What transformation is happening?
(x, y) ----> (x + 2, y - 3)
(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
8.
Write the rule for this translation:
Slide 3 up and 2 right
Slide 3 up and 2 right
a)
(x, y)---->(x + 3, y + 2)
b)
(x, y)-----> (x+2, y + 3)
c)
(x, y)----> (x - 2, y + 3)
9.
Write the rule for this translation:
Slide 2 right and 3 up.
a)
(x, y)---->(x + 3, y + 2)
b)
(x, y)-----> (x+2, y + 3)
c)
(x, y)----> (x - 2, y + 3)
10.
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)
11.
A point is translated 3 units left and 4 units up. What is the correct translation rule?
a)
T(x,y)→(x+3,y+4)
b)
T(x,y)→(x-3,y-4)
c)
T(x,y)→(x+3,y-4)
d)
T(x,y)→(x-3,y+4)
12.
Rotation Rules (clockwise):
90o rotation: (x, y)→(y, -x)
What are the coordinates for A' after a 90⁰ rotation clockwise?
a)
(1, 3)
b)
(3, 1)
c)
(3, -1)
d)
(1, -3)
13.
Rotation Rules (clockwise):
180o rotation: (x, y)→(-x, -y)
What are the coordinates of C' after a rotation of 180° clockwise?
a)
(-3, -1)
b)
(3,1)
c)
(1,3)
d)
(-1, -3)
14.
Rotation Rules (clockwise):
270o rotation: (x, y)→(-y, x)
What are the coordinates of B' after a 270° clockwise?
a)
(4, 4)
b)
(4, -4)
c)
(-3, 4)
d)
(-4, 4)
15.
Rotate the point (-3,-4) around the origin 180 degrees. State the image of the point.
a)
(-4,-3)
b)
(-4,3)
c)
(4,-3)
d)
(3,4)
16.
What type of rotation does this represent (from red to blue)?
a)
270⁰ clockwise
b)
360⁰
c)
90⁰ counterclockwise
d)
180⁰
17.
Triangle A is rotated 90° clockwise with the origin as the center of rotation to create a new figure. Which rule describes rotating 90° clockwise?
a)
(x,y)→(y, -x)
b)
(x,y)→(-x,-y)
c)
(x,y)→(-y,x)
d)
(x,y)→(x,y)
18.
Triangle B is rotated 90° counterclockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?
a)
A
b)
B
c)
C
d)
D
19.
When you rotate 270 degrees clockwise the algebraic representation is ( x , y ) ---> ?
a)
( -x , -y )
b)
( -y , x )
c)
( y , -x )
d)
( x , y )
20.
What is the Algebraic Notation for this Reflection?
a)
(x, y) → (y, x)
b)
(x, y) → (-x, y)
c)
(x, y) → (-y, -x)
d)
(x, y) → (x, -y)
21.
What is the Algebraic Notation for this Reflection?
a)
(x, y) → (y, x)
b)
(x, y) → (-x, y)
c)
(x, y) → (-y, -x)
d)
(x, y) → (x, -y)
22.
If the triangle is transformed following the rule (x,y)⊣(x+5,y-3), what transformation is modeled?
a)
Dilation
b)
Reflection
c)
Translation
d)
Rotation
23.
Parallelogram PQRS is rotated 90ᴼ clockwise about the origin to create parallelogram P’Q’R’S’. Which rule describes this transformation?
a)
(x,y)⊣(x,-y)
b)
(x,y)⊣(-x,y)
c)
(x,y)⊣(y,x)
d)
(x,y)⊣(y,-x)
24.
Point P is graphed at (4, 5) shown on the grid below. Point P is 180ᴼ clockwise to Point P’.
a)
(-5, 4)
b)
(-4, 5)
c)
(5, -4)
d)
(-4, -5)
25.
Which transformation does not preserve congruence?
a)
translation
b)
reflection
c)
rotation
d)
dilation
26.
What is the scale factor if Point P is at (-2, 3) and P’ is at (-8, 12)?
a)
6
b)
9
c)
8
d)
4
27.
A dilation is which of the following:
a)
An enlargement
b)
A reduction
c)
Either an enlargement or a reduction
d)
Neither an enlargement or a reduction
28.
If the scale factor is less than one, the new figure will be
a)
an enlargement
b)
a reduction
c)
a scale factor
d)
bigger
29.
If the scale factor is greater than one, the new figure will be
a)
a reduction
b)
an enlargement
c)
a scale
d)
not proportional
30.
Dilate Point B by a scale factor of 3:
a)
(12,0)
b)
(12,12)
c)
(4,3)
d)
(0,12)
31.
Which of the following is the algebraic representation for a dilation?
a)
(x, y) → (x, 3y)
b)
(x, y) → (3x, 3y)
c)
(x, y) → (x, y - 3)
d)
(x, y) → (.5x, .4y)
32.
Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?
A(3,3) B(6,6) C(9,3)
A(3,3) B(6,6) C(9,3)
a)
A'(9,9) B'(18,18) C'(27,9)
b)
A'(6,6) B'(9,9) C'(12,6)
c)
A'(0,0) B'(3,3) C'(6,0)
d)
A'(1,1) B'(2,2) C'(3,1)
33.
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)
34.
(x, y) -> (2x, 2y)
What is the coefficient 2 mean?
What is the coefficient 2 mean?
a)
plot 2 to the right and 2 up
b)
scale factor is 2 creating a new figure half the size
c)
scale factor is 2 making a figure twice the
original
original
d)
I don't understand this question : (
35.
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 of 2.
a)
B' (2 , 4.5)
b)
B' (-8 ,-18)
c)
B' (8 ,18)
d)
B' (9 ,4)
36.
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
37.
When you rotate 270 degrees clockwise the algebraic representation is ( x , y ) ---> ?
a)
( -x , -y )
b)
( -y , x )
c)
( y , -x )
d)
( x , y )
38.
Rotation Rules (clockwise):
270o rotation: (x, y)→(-y, x)
What are the coordinates of B' after a 270° clockwise?
a)
(4, 4)
b)
(4, -4)
c)
(-3, 4)
d)
(-4, 4)
39.
What type of angles are <1 and <8?
a)
Alternate Interior
b)
Alternate Exterior
c)
Vertical angles
d)
corresponding angles
40.
Which value of x will show that lines l and m are parallel?
a)
20
b)
22
c)
24
d)
25
41.
Solve for x.
a)
7
b)
-4
c)
8
d)
9
42.
Which of the following angles are remote interior angles to angle d?
a)
Angle a and Angle b
b)
Angle b and Angle c
c)
Angle a and Angle c
d)
Angle a and Angle b and Angle c
43.
What is the measure of angle b?
a)
36o
b)
56o
c)
63o
d)
117o
44.
Find the slope
a)
4/5
b)
5/4
c)
-5/4
d)
-4/5
45.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
46.
Is this an example of a proportional or non-proportional linear situation?
a)
Proportional
b)
Non-Proportional
47.
Is this an example of a proportional or non-proportional linear situation?
a)
Proportional
b)
Non-Proportional
48.
Determine the missing angle.
a)
145
b)
55
c)
35
d)
45
49.
Which pair of angles are corresponding?
a)
Angle 7 and Angle 4
b)
Angle 3 and Angle 6
c)
Angle 8 and Angle 1
d)
Angle 4 and Angle 8
50.
Solve for x.
a)
16
b)
11
c)
50
d)
6
51.
Solve for x.
a)
8
b)
-10
c)
-7
d)
6
52.
What is the Angle Relationship
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Same Side-Interior
53.
Angle 1 is 5x + 10. Angle 3 is 65 degrees. What is the value of x?
a)
11
b)
3
c)
21
d)
115
54.
What is the value of x ?
a)
28
b)
22
c)
14
d)
8
55.
Find the value of x if the m∠1 = 11x − 9° and the m∠5 = 7x +9° .
a)
-4.5
b)
4.5
c)
1
d)
0
56.
What is the value of x?
a)
-6
b)
22
c)
16
d)
21
57.
∠3 & ∠6 are...
a)
Supplementary angles
b)
Vertical angles
c)
Corresponding angles
d)
Alternate interior angles
58.
a)
2x-6=7x+4
b)
2x-6+7x+4=90
c)
2x-6+7x+4=180
d)
2x-6+7x+4=360
59.
Is the given table a proportional relationship? If so, what is the constant?
a)
Yes; 1/3
b)
Yes; 3
c)
Yes; 5
d)
No
60.
What is the slope?
a)
1/2
b)
2
c)
7
d)
3
61.
What is the equation for the table?
a)
y =1/4x -3
b)
y =4x - 3
c)
y = -3x -3
d)
y =-2x -3
62.
Bowling costs $4 for shoe rental plus $5 for every game. Which equation shows how much it costs to go bowling for x games?
a)
y = 4 + 5x
b)
y = 5 + 4x
c)
y = 4•5•x
d)
y = 5x - 4
63.
Which equation matches the table?
a)
y = 10x + 5
b)
y = 5x + 10
c)
y = 5x + 20
d)
y = x + 10
64.
Which equation matches the table?
a)
y = 3x + 9
b)
y = x + 9
c)
y = x + 3
d)
y = 12x - 3
65.
Which equation matches the table?
a)
y = x + 5
b)
y = 5x
c)
y = x - 5
d)
x = y - 5
66.
Give the equation for the graph
a)
y = 5x - 3
b)
y = 4x + 2
c)
y =-2x + 5
d)
y = - 2x + 4
67.
What is the y-intercept of this graph?
a)
(0,1)
b)
(0,-2)
c)
(0,0)
d)
(0,3)
68.
A dog walker earns $10 plus $3 per dog. What equation represents this model?
a)
y=3x + 10
b)
y=10x + 3
c)
y=13x
d)
y=10x - 3
69.
Find the slope of the line that passes through
(19, -2) and (-11, 10)
(19, -2) and (-11, 10)
a)
-2/5
b)
2/5
c)
5/2
d)
-5/2
70.
Find the slope
a)
-5/7
b)
7/5
c)
-7/5
d)
5/7
71.
What does "m" represent in y=mx+b?
a)
y-intercept
b)
slope
c)
macaroni
d)
nothing
72.
Find the slope of the line that passes through:
(-4, 7) and (-6, -4)
(-4, 7) and (-6, -4)
a)
2/11
b)
13/2
c)
3/10
d)
11/2
73.
Find the slope of the line that passes through:
(-3, -4) and (7, 6)
(-3, -4) and (7, 6)
a)
0
b)
Undefined
c)
-1
d)
1
74.
Find the slope of the line that passes through:
(6,7) and (4,2)
(6,7) and (4,2)
a)
2/5
b)
-5/2
c)
5/2
d)
-1/2
75.
Find the slope of the line that passes through:
(10, 1) and (5, 2)
(10, 1) and (5, 2)
a)
1/5
b)
-1/5
c)
5
d)
-5
76.
What data value is the upper quartile (Q3)?
a)
64
b)
62
c)
66
d)
58
77.
What is the maximum value?
a)
58
b)
66
c)
64
d)
60
78.
What is the mean absolute deviation of 13, 14, 17, 28, and 28?
a)
6.4
b)
8.6
c)
4.6
d)
6.3
79.
What is the interquartile range (IQR)?
a)
4
b)
64
c)
60
d)
8
80.
Find the MAD for the following set: 65, 90, 85, 70, 70, 95, 57
a)
12
b)
75.7
c)
85.7
d)
14
81.
Find the MAD:
58, 38, 54, 48, 26, 36
58, 38, 54, 48, 26, 36
a)
43
b)
20
c)
10
d)
12
82.
3(3x - 6) = 18
a)
x = 4
b)
x = -4
c)
x=8
d)
x= -12
83.
6 ( 2n + 5 ) = 66
a)
3
b)
5.08
c)
8
d)
432
84.
5x - 14 = 8x + 4
a)
x = 6
b)
x = -6
c)
x = -18/13
d)
x = 10/3
85.
7x - 4 = 3 + 8x
a)
x = 7
b)
x = -7
c)
x = 2/7
d)
x = 11
86.
3x + 2(4x - 4) = 3
a)
4
b)
3
c)
2
d)
1
87.
Solve: 5x - 14 = 8x + 4
a)
6
b)
-6
c)
-18/13
d)
10/3
88.
All of the x values or inputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
89.
All of the y values or outputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
90.
Is this mapping a function or not a function?
a)
Function
b)
Not a Function
91.
Is this table a function or not a function?
a)
Function
b)
Not a Function
92.
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)
93.
Is the relation a function? Why.
a)
Yes, because the x-value 11 has two y-values pair with it.
b)
Yes, because each x-value has only one y-value paired with it.
c)
No, because the x-value 11 has two y-values pair with it.
d)
No, because each x-value has only one y-value paired with it.
94.
Is relation shown a function?
a)
YES
b)
NO
95.
What is the definition of function?
a)
Has inputs and outputs
b)
Every input has only ONE output
c)
Inputs have different outputs every time
d)
x-values and y-values
96.
Is this mapping a function or not a function?
a)
Function
b)
Not a Function
97.
Lee charges $3 for a basket and $2.50 for each pound of fruit picked at the orchard. Write an equation in y = mx + b form for the total cost of x pounds of fruit from the orchard.
a)
y = 3x + 2.5
b)
y = 2.50x + 3
c)
y = 2.50x
d)
y = 3x + 2.50
98.
If the scale factor is greater than one, the new figure will be
a)
a reduction
b)
an enlargement
c)
a scale
d)
not proportional
99.
If the scale factor is less than one, the new figure will be
a)
an enlargement
b)
a reduction
c)
a scale factor
d)
bigger
100.
Point W(-6, 7) is rotated 90° clockwise. Where is W'
a)
(6, -7)
b)
(7, 6)
c)
(7 , -6)
d)
(6, 7)
101.
Triangle IJK has the coordinates listed:
I(5, -8) J(10,-8) K(7, -4)
Where is J' after a reflection of the y-axis.
a)
(-10,-8)
b)
(10,8)
c)
(8,10)
d)
(-8,10)
102.
What is the algebraic notation of a figure is Translated 9 units right and 3 units down?
a)
(x, y) --> (x - 9, y + 3)
b)
(x, y) --> (x + 9, y - 3)
c)
(x, y) --> (x + 3, y - 9)
d)
(x, y) --> (9x, 3y)
103.
What is the algebraic notation of a figure is Translated 6 units right and 5 units up?
a)
(x, y) --> (x - 6, y + 5)
b)
(x, y) --> (x + 6, y + 5)
c)
(x, y) --> (x + 5, y - 6)
d)
(x, y) --> (6x, 5y)
104.
What is the value of the upper quartile?
a)
68
b)
76
c)
84
d)
94
105.
Find the Lower Quartile of the following numbers:
84, 88, 72, 74, 98, 16, 94
84, 88, 72, 74, 98, 16, 94
a)
72
b)
88
c)
94
d)
There is no Lower Quartile.
106.
What is the IQR of this data set?
9, 5, 6, 3, 1, 8
a)
3.5
b)
4
c)
5
d)
6.5
107.
As x increases, y decreases, what kind of association( correlation) do we have:
a)
no correlation
b)
negative correlation
c)
correlation coefficient
d)
positive correlation
108.
As x increases, y increases
a)
correlation coefficient
b)
causation
c)
positive correlation
d)
negative correlation
109.
What type of relationship is seen in this scatter plot?
a)
Exponential
b)
Linear
c)
Other
d)
Quadratic
110.
Which of the following lines represents the line of best fit for the scatter plot?
a)
A
b)
B
c)
C
d)
D
111.
3(2x+5)=39
a)
x = 4
b)
x = 5
c)
x = 3
d)
x = -2
112.
2(6k-1)= -38
a)
k= 1
b)
k= 9
c)
k= -4
d)
k= -3
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