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WorksheetsFinal Review Mixed Practice
Total questions: 184
Worksheet time: 7hrs 35mins
5(2 - 7n)
6 + 2(7x - 3)
7+3(1 - 2x)
6(x + -2)
3(1 - 2x) + 7
6 + 2(7x - 3)
-4(-4d - 5)
3(2x+1)+2(x-4)
4a + 9 + a
x+5+2x+10
3m-7m-m
3+2c-4c-9+11c
7h+2-16h-3h
14(b – 10)
-2(x + 5)
8(5f - 7) + 3f
Warm Up!
After converting from standard form to slope-intercept form, what will the following equation look like?
4x+2y=6
y=2x+3
y=−21x−3
y=−2x+3
y=−21x+3
After converting the following equation from standard form to slope intercept form, what will the following equation be?
3x−6y=12
(Don't type in any spaces)
(a)
Which do you think is correct?
nine $5 bills and eight $10 bills
eight $5 bills and nine $10 bills
ten $10 bills and seven $5 bills
six $10 bills and eleven $5 bills
What is a solution to a system of linear equations?
The point where both lines intersect
The point where the y-axis and x-axis meet
An ordered pair that both lines share
A salt dissolved in water
What would the solution be to this system of linear equations?
(0,-1.5)
(1, -3)
(5,0)
(0,0)
What would the solution be to this system of linear equations?
(0,0)
(2,2)
(6,0)
(0,4)
When would we get "infinitely many solutions" to a system of equations?
The lines are parallel, never intersecting
The lines cross at one point
The lines are the same and overlap at all points
The lines cross at 2 points
When will we get "no solutions" from a system of equations?
The two lines cross once
The two lines are the same and overlap
The two lines are parallel and never touch
The two lines cross at 2 points
The first step of solving a system of linear equations is putting the equations in (a) -intercept form
The second step to solving a system of linear equations is to graph the (a) -intercept and use slope to create the line. We do this for both equations.
The third step is to identify the point where the lines intersect aka the (a)
Match the following graphs to the systems of equations
y=32x+1
y=32x−2
y=−x+7 y=2x+1
y=−2x+4 y=−2x+4
Which of the following graphs would fit the system of equations?
y=2x−4
y=−21x+1
∠1 & ∠2 are corresponding angles
∠2 & ∠4 are corresponding angles
∠5 & ∠8 are corresponding angles
∠1 & ∠5 are corresponding angles
∠1 & ∠8 are alternate interior angles
∠2 & ∠3 are alternate interior angles
∠4 & ∠5 are alternate interior angles
∠7 & ∠4 are alternate interior angles
∠A=82°
∠A=98°
∠A=180°
∠A=8°
∠D=116°
∠D=64°
∠D=180°
∠D=26°
Identify the relationship
Alternate Interior Angles
Alternate Exterior Angles
Corresponding Angles
Consecutive Interior Angles
Identify the relationship between angle 1 and 2
Alternate Exterior Angles
Alternate Interior Angles
Corresponding Angles
Consecutive Interior Angles
Angle 3 and Angle 6 are examples of which type of angle pair?
Alternate exterior angles
Alternate interior angles
Vertical angles
Corresponding angles
Which of the following angles would NOT be congruent to the measure of ∠7 ?
∠2
∠3
∠6
∠8
If the m∠7 = 115°, find the measure of ∠2.
115°
65°
180°
Cannot be determined
Angles 4 and 6 are...
supplementary
congruent
R: {0, 1, 2, -4}
R:{1, -3, -4}
R:{1, -3, -4}
8
-24
24
-22
27
21
24
72
30
62
14
32
106
16
26
94
84
92
116
64
How would you write 4.3756 x 104 in standard form?
(a)
How would you write 0.0005 in scientific notation?
50 x 10-5
5 x 10-4
5 x 103
.5 x 103
How would you write -5.6 x 10-3 in standard form?
(a)
Scientific Notation is made up of two number parts. The second part is a power 10.
True
False
How do you write 8.317 x 106 in standard form?
(a)
Which of the following numbers is written in scientific notation?
20.35 x 104
.2035 x 104
2035 4
2.035 x104
Express the following in scientific notation:
.000457
457 x 106
457 x 10-6
4.57 x104
4.57 x 10-4
Convert to scientific notation:
520,000,000
52 x 107
5.2 x 10-7
5.2 x 108
0.52 x 109
What is scientific notation?
A long way to write really short numbers
A short way to write really large or really small numbers
I don't know...
None of the above
If the exponent is a positive number the original number was...
a really big number.
a really small number.
If the exponent is a negative number the original number was...
a really large number.
a really small number.
Convert this number to standard notation:
7.1 x 104
(a)
Convert this number into scientific notation:
0.068
6.9 x 106
6.8 x 10-9
6.8 x 10-2
None of the above
Convert this number to standard notation:
1.4 x 10-2
(a)
Convert this number into scientific notation:
950,000
9.5 x 105
9.5 x 10-9
9.5 x 102
None of the above
Which value is the greatest?
5.0 x 10-9
5.0 x 10-4
5.0 x 106
5.0 x 108
Which number is the least in value?
5.0 x 10-9
5.0 x 10-4
5.0 x 106
5.0 x 108
Bob has $150 in his savings account and saves $40 per month.
y=150 + 40
y=40x + 150
y=150x + 40
Which equation best represents the relationship between x and y in the table shown?
y= 5x+5
y=1/5x+5
y=15x+5
y=10x+5
Find the initital value
20
0
17
1
What is the initial value?
3
0
2
8
Find the intial value
0
3
4
5
Find the rate of change from the graph
0
undefined
5
-5
What is the solution to the system?
(0, 3)
(1, -1)
(-3, 1)
(1, 3)
What is the solution to the system?
(-1, 3)
(-3, 1)
(3, -1)
(-3, -1)
Will the solution (-3, -7) make the following system of equations a true statement?
y = 4x + 5
y = x – 4
YES
NO
What is the solution to this system?
y = 2x + 1
y = 4x - 1
(1,3)
(-1,-3)
(-1,3)
(3,1)
y = 3x - 8
y = 4 - x
Three student and 2 adult tickets cost $16 to ride a rollercoaster. To buy 11 students and 3 adult
tickets it costs $37.
What system of equations represents the situation?
3s + 2a=16
11s+3a=37
3a + 2s=16
11s+3a=37
3s + 2a=16
11a+3s=37
3a + 2s=37
11s+3a=16
Three student and 2 adult tickets cost $16 to ride a rollercoaster. To buy 11 students and 3 adult
tickets it costs $37.
How much does each type ticket cost?
student ticket: $5
adult ticket: $2
student ticket: $2
adult ticket: $5
student ticket: $11
adult ticket: $37
student ticket: $4
adult ticket: $6
A fast food restaurant sells 8 hamburger meals and 3 chicken meals for $58 while 5 hamburger
meals and 6 chicken meals cost $61.
What system of equation would represent best this situation?
3x+8y=58
5x+6y=61
8x+3y=61
5x+6y=58
8x+3y=58
5x+6y=61
8x+3y=58
6x+5y=61
A fast food restaurant sells 8 hamburger meals and 3 chicken meals for $58 while 5 hamburger
meals and 6 chicken meals cost $61.
How much does each meal cost?
Hamburger meal costs $6
Chicken Meal costs $5
Hamburger meal costs $5
Chicken Meal costs $6
Hamburger meal costs $3
Chicken Meal costs $5
Hamburger meal costs $5
Chicken Meal costs $3
Ben has 22 coins that total $3.10. If he only has nickels and quarters, which system of equations models best the situation?
n + q = 22
0.05n + 0.25q = 3.10
n + q = 3.10
0.05n + 0.25q = 22
0.05n + q = 22
n + 0.25q = 3.10
-2x + 6y = 16
-4x - 3y = 2
−8x − 10y = 20
−8x − 6y = −4
Jan has $100 in her bank account. She adds $15 to her account each month. Maura had $130 in her bank account . She adds $10 to her account each month. A system of equations is used to find how many monthly deposits will be needed for the accounts to have equal balances. Which graph correctly depicts this system of equations and its solution?
Match the following graphs to the systems of equations
y=32x+1
y=32x−2
y=−x+7 y=2x+1
y=−2x+4 y=−2x+4
If you plan on owning 5 phones what company should you use?
Spring
AT&R
Horizon
If you plan on owning Less than 2 phones what company should you use?
Spring
AT&R
Horizon
Translations, rotations, and reflections are three different types of what?
Transformations
Geometry
Vectors
Shapes
A turn is also called a ___________.
Translation
Reflection
Rotation
Transformation
A slide is also called a _________.
Translation
Reflection
Rotation
Transformation
A flip is also called a _________.
Translation
Reflection
Rotation
Transformation
Congruent means...
The same angles.
The same size and same shape.
Equal to.
The same transformation.
Describe the Transformation
Translation
Reflection
Rotation
Describe the transformation in the image.
Translation
Reflection
Rotation
The original figure prior to a transformation.
Pre-image
Image
The result of a transformation.
Pre-image
Image
What is this picture an example of?
Reflection
Translation
Rotation
Dilation
Name the transformation.
Translation
Reflection
Rotation
The mathematical term for the line that you reflect a shape over is the...
Mirror
Reflective tape
Line that you reflect over
Line of reflection
After a figure has been transformed, we call the new figure the...
Image
Different shape
Figure that moved
Prime
is y= 1/2x +1. Use the equation to determine the amount of time it would take to bike 20 laps.
*Look at the x and y axis first before starting the problem
The outside temperature and the amount of layers you wear.
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. 50 min
B. 80 min
C. 45 min
D. 60 min
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. 50 min
B. 80 min
C. 45 min
D. 60 min
Do you have any questions?
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?
