Font size
WorksheetsMath May 7th
Total questions: 197
Worksheet time: 14hrs 9mins
Identify the quadrant where the point is located. (6 , 3)
I
II
III
IV
Identify the quadrant where the point is located. (-3 , -4)
I
II
III
IV
Identify the quadrant where the point is located. (10 , -5)
I
II
III
IV
Which image represents counterclockwise?
I'm (-4, 5) and I moved counterclockwise 1 quadrant. Where am I?
I
II
III
v
I'm (2, -5) and I moved counterclockwise 3 quadrants. Where am I?
I
II
III
v
I'm (-4, -1) and I moved clockwise 2 quadrants. Where am I?
I
II
III
v
Relfect the image over the y-axis and then translate it 4 to the right and down 3. Which quadrants will the image be located in?
Quadrant I and II
Quadrant II and III
Quadrant III and IV
Quadrant I and IV
A dilation produces a congruent figure
True
False
What is the formula for scale factor?
oldnew
newold
What is the scale factor?
1
2
3
4
What is the scale factor from the small fry to the large fry?
1/3
48
4
3
The point A (8, 12) was dilated to become point A' (2, 3). What was the scale factor?
½
¼
4
2
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.
B' (2 , 4.5)
B' (-8 ,-18)
B' (8 ,18)
B' (9 ,4)
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.
G' (5,3)
G' (20,12)
G' (-20,-12)
G' (-5,-3)
Warm Up 1/28/21
A scale factor of 1/2 reduces a figure.
True
False
Explain why the answer to the warm up was true.
" A scale factor of 1/2 reduces a figure."
When the dilation has a scale factor greater than one, the dilation is an enlargement.
True
False
When the scale factor of a dilation is less than one, the dilation is a reduction.
True
False
If a dilation has the rule
(x,y)→(2.5x,2.5y) what is the scale factor?
(a)
If a dilation has the rule
(x,y)→(2.5x,2.5y) what type of dilation is this?
enlargement
reduction (shrink)
A polygon is graphed on a coordinate grid with (x,y) representing the location of a certain point on the polygon. The polygon is transformed using the rule (x, y)→(ax, ay). Which statement must be true?
If a is greater than 1, the image of the polygon is congruent to the polygon.
If a is between 0 and 1, the image of the polygon is congruent to the polygon.
If a is greater than 1, the image of the polygon is smaller than the polygon.
If a is between 0 and 1, the image of the polygon is smaller than the polygon.
If the triangle ABC is dilated using a scale factor of k=2, what will be the coordinates of A' after the transformation?(Click the picture to zoom in on it)
A'(1.5, -1.5)
A' (-6, 6)
Click image to enlarge
A
B
C
D
Click image to enlarge
A
B
C
D
Click image to enlarge
A
B
C
D
How well do you understand dilations?
What will you do to solve this equation?
X + 6 = 3
subtract 6 from both sides
add 6 to both sides
subtract 3 from both sides
add 3 to both sides
What will you do to solve this equation?
4x = 16
divide both sides by 4
multiply both sides by 4
subtract 4 from both sides
divide both sides by 16
23x =6 solve for x
4
3
12
2
3x+1=7
2
38
3
8
2(x+2)=4 Solve for x
6
0
2
4
6x + 3 = 6x + 3
4p + 1 = 49 - 7
3t + 5 = 4t + 7
-2 ( -4x + 7 ) = -2 + 4x
4 ( 8n - 1 ) = 19 + 32n
3x + 7 + 2x = 5x + 7
3c -3 = 4c - 2
4y + 10 = 10 + 4y
__x + 12 = 2x - 7
__x + 4 = 2x + __
What is the approximate constant rate of change in miles per minute?
about 8 miles per minute
about 12 miles per minute
about 10 miles per minute
about 290 miles per minute
What is the rate of change in students per school bus?
72 students per school bus
144 students per school bus
36 students per school bus
40 students per school busy
What is the constant rate of change in miles per hour while driving in the city?
25 miles per hour
2 miles per hour
60 miles per hour
30 miles per hour
A population of rats increases by 40 rats per week
Linear (constant)
Nonlinear (varying)
Constant (linear) or varying (nonlinear) rate of change?
Constant (linear)
Varying (nonlinear)
Constant (linear) or varying (nonlinear) rate of change
Constant (linear)
Varying (nonlinear)
The Pythagorean Theorem ONLY works on which triangle?
obtuse
scalene
isosceles
right
What side(s) will always be the longest on a right triangle?
The Hypotenuse
Leg A
Leg B
The Right Angle
What side(s) will always be the shortest on a right triangle?
Select all that apply
The Hypotenuse
Leg A
Leg B
The Right Angle
What is the relationship between the sides in the Pythagorean Theorem shown?
Hint: Think about when the hypotenuse is missing!
a + b = c
a2 + b2 = c2
a2 – b2 = c2
a – b = c
13, 80, and 81?
If the sides of a triangle are 7, 24, and 25, is it a right triangle?
c = 7.5
Is this a right triangle?
Which of the following is the same as multiplying by 31 ?
multiplying by 3
dividing by 3
multiplying by .13
Which of the following is the same as multiplying by 31 ?
multiplying by 3
dividing by 3
multiplying by .13
Which equation can be used to find the volume of the container?
Cylinder A has a volume of 225cm3 while cylinder B has a volume of 675cm3. How many times bigger is cylinder B than A?
5
2
4
3
Soccer balls come in several different sizes. One of the soccer balls has a diameter of 24 centimeters.
What is the volume of this soccer ball ?
Round your answer to the nearest tenth.
Use the approximate of value of π, that is 3.14.
(a)
The height and diameter of a cone-shaped storage tank are 9 feet and 14 feet respectively.
Find the volume of liquid the tank can hold.
Round your answer to the integer, if necessary.
Use the approximate of value of π, that is 3.14.
(a)
The volume of a CONE is 480π cm3 .
The height of the cone is 10cm.
What is the radius?
(a)
A softball has a volume of 6125π cubic inches.
Find the radius of the softball.
(a)
The volume of the CONE is 36π
What is the volume of a CYLINDER that has the same base and the same height.
Use 3.14 for π
(a)
What is the name of this 3D shape?
cone
cylinder
circle
sphere
Find the volume to the nearest hundredth.
5575.28 cm3
506.84 cm3
126.65 cm3
3,136.09 cm3
Find the Volume of the Sphere
904.78 ft3
7,234.23 ft3
150.80 ft3
144 ft3
What is the name of this 3D shape?
sphere
hemisphere
half ball
cone top
Find the volume of the hemisphere
904.8 in3
75.4 in3
150.8 in3
452.4 in3
If a tennis ball has a diameter of 14, What is the volume of the tennis ball?
11,494.04
808.17
1,436.76
205.25
When a sphere has a volume of 972π, what is the radius of the sphere?
9
4.3
18
10.9
Which 3D Figures make up the following composite solid? CHECK ALL THAT APPLY.
Cone
Cylinder
Pyramid
Rectangular Prism
Which 3D Figures make up the following composite solid? CHECK ALL THAT APPLY.
Rectangular Prism
Cylinder
Pyramid
Sphere
Find the volume.
80 cubic cm
108 cubic cm
28 cubic cm
145 cubic cm
What is the volume of the solid shown below?
225 in3
255 in3
285 in3
360 in3
Find the volume.
84.8 yd3
254.5 yd3
179.1 yd3
197.9 yd3
Find the volume of the roll of duct tape.
12.6 cm3
9.4 cm3
15.7 cm3
37.7b cm3
Which equation would you use to find the volume of this composite figure?
83 + 4/3π(8)³
83 + 4/3π(4)³
83 + (1/2)(4/3)π(4)³
83 + (1/2)(4/3)π(8)³
Which equation would you use to find the volume of this composite figure?
π(2)²(8) + 34 π(2)³
π(2)²(4) + 34 π(2)³
π(2)²(8) + 21 ( 34 π(2)³ )
π(2)²(4) + undefined(undefinedπ(2)³ )
irrational
irrational
Write an equation in slope-intercept form:
slope = −32 y−intercept = (0, −9)
y = −32x + 9
y = −32x − 9
y = −9x + 32
y = −9x − 32
Write an equation in slope-intercept form:
Slope = 10
y−intercept = (0, 8)
y = 8x − 10
y = 8x + 10
y = 10x − 8
y = 10x + 8
Write an equation in slope-intercept form:
Slope = 83
y−intercept = (0, −1)
y = 83x − 1
y = 83x + 1
y = 1x + 83
y = 1x − 83
Write the equation for the graph shown.
y = 12x + 9
y = −21x − 9
y = −12x + 9
y = 21x + 9
Write the equation for the graph shown.
y = −42x + 8
y = 42x + 8
y = 8x + 42
y = −24x + 8
Write an equation for the graph shown.
y = −13x + 2
y = 31x + 2
y = 13x + 2
y = 2x + 13
A photographer has already taken 10 pictures. She takes an additional 3 pictures per hour.
y = 10x + 3
y = 3x + 10
y = 3x − 10
Gil has $200 saved for snacks. He will spend $5 on snack per week until he runs out.
y = 200−5x
y = 5x + 200
y = −200x + 5
Bad Bunny currently has $5 to go to Mexico. He is selling his famous cupcakes for $25 per dozen to raise more money.
y = 25x − 5
y = 25x + 5
y = 5x + 25
y = −5x + 25
Write an equation for the table shown.
y = 21x + 4
y = 21x − 2
y = 12x − 2
y = 21x − 3
Write an equation for the table shown.
y = 3x + 4
y = 3x − 2
y = 31x + 4
y = −3x + 4
Write an equation for the table shown.
y = 31x + 6
y = 31x − 2
y = −2x + 31
y = 13x − 2
Level 2: Which number has a square root that is between 5 and 6?
48
81
28
36
Level 3: Estimate the square root.
Between 4 and 5 and closer to 5
Between 5 and 6 and closer to 6
Between -4 and -5 and closer to -5
Between -5 and -6 and closer to -6
Level 3: Estimate the square root.
Between 3 and 4 and closer to 3
Between 2 and 3 and closer to 3
Between 3 and 4 and closer to 4
Between 2 and 3 and closer to 2
Level 3: Which point best represents √47?
A
D
E
F
Level 2
Identify the letter that best estimates the following square root on the following number line.
√156
d
b
c
e
√20 ?
Look at the number line.
Evaluate ∛1
1
2
3
4
What is a square number?
the result of multiplying a number by itself three times
a number that has two factors
the result of multiplying a number by itself twice
a number that has more than two factors
Which number is a square number?
2
3
4
5
Which number is NOT a square number?
5
16
1
9
Select all the square numbers below:
1
25
44
0
What is a cube number?
the result of multiplying a number by itself three times
the result of multiplying a number by itself twice
the result of multiplying a number by itself four times
a number that has 2 factors only
the number 9 is a cube number
true
false
7 is a square number
true
false
49 is a square number because
it looks like a square
it is an odd number
i can multiply 7 x 7 to get 49
What square number comes after the square number 100?
101
121
130
140
What cube number comes after the cube number 27?
40
54
64
74
