Download M8 Final Exam Study Guide Name__________________________

M8 Final Exam Study Guide
1.
Name__________________________
2.
Find the measure of ∡1.
Given: m || n. What is the m 2 ?
type of angle relationship?
Identify the
1
75°85
m
2
33°
26°
n
3.
Given: L || M . What is m∡5?
5. The following picture shows which transformation?
4.
In the diagram below, ABC  BCA  CAB .
Determine m1 .
6. If quadrilateral ABCD is translated 3 units left and
3 units down, what are the new coordinates for point
A?
7. Find the volume of a sphere with a diameter of 12 8. A cylinder has a diameter of 11.1 feet and a
cm. to the nearest tenth using 3.14 for  .
height of 20 feet. Using 3.14 for  , find the volume
(V 
4 3
r )
3
of the cylinder to the nearest tenth.
9. A cone has a diameter of 20 in. and a height of 10
10. Where is the
in. Using 3.14 for  , find the volume of the cone to the
1
3
2
nearest tenth. ( V   r h )
5
11. a. Write 7.7 10 in standard form.
7
b. Write 4.008 10 in standard form.
0
1
2
(
V   r 2h
)
21 on the number line below?
3
4
5
6
77
12. a. Write the number 1,345,000,000 in scientific
notation?
b. Write 0.0412 in scientific notation.
13. If ABC is dilated by a scale factor of 2, name the
14. Circle the rational numbers and put a box around
the irrational numbers.
3
1.3
new coordinates for point B.
4
5
15. Simplify: 4n  n
1
3
6
0.21
81
3
0.25
49
-6.75

17. Solve the literal equation for y:
5 + 3x = 2y
16. Calculate:
3
125
(r 2 s 4 )3
t 5
18. Simplify:
a9
a7
19. Simplify:
20. Divide:
10 102
2 106
21. Solve the following equation for y.
2(y + 6) = 3y
22. Solve the following equation for x.
4x – 3 = 2x + 5
23. Solve the following equation for x.
6 – 2x - 1 = 4x + 8 - 6x - 3
24. Solve the following equation for y.
25. Jon and Sara are planting tulip bulbs. Jon has
planted 60 bulbs at a rate of 44 bulbs per hour. Sara
is planted 96 bulbs at a rate of 32 bulbs per hour. In
how many hours will Jon and Sara have planted the
same number of bulbs? Define the variable, then
write and solve an equation to find the answer.
2
3 7
y 
3
4 12
26. Write the formula for the Pythagorean theorem?
What is the longest side of a right triangle called?
27. If a bike ramp is 24 meters long and it extends
16 meters from the base of the starting point. How
high is the ramp? (Hint…draw a picture to assist
you)
28. Find the length of the missing side, x.
29. Given the lengths of the sides of a triangle, is
5, 12, 13 a right triangle?
x
8 in.
.
6 in.
30.Determine which of the following is a function.
A)
B)
C)
D)
31. Identify each equation as a function or not a
function?
a) y = x+ 4
b) y = x³ - 2
c) x = y³
d) x – 3 = y
32. Identify each relation as a function or not a
function?
a. {(2,3), (4, 7), (6, 8)}
b. {(1, 5), (2, 3), (3, 2), (4, 1)}
c.
{(7, -1), (9, -7), (7,
0), (2, -1), (5, 0)}
d.
{(4, -3), (3, -5), (2,
-5), (2, -4)}
33. For the function represented in the table below,
determine the value of y if x = 6.
x
y
34. Carmen attends a school with a dress code.
She went shopping and found acceptable shirts for
$15 each. Her mother has allowed her to buy up to
5 new shirts for the school year. Identify the
independent and dependent variables for this
situation.
0
-2
1
2
5
18
7
26
35. Describe what it means if a line crosses the yintercept? What variable represent the y-intercept?
36. Juan works as a volunteer in a homeless shelter.
So far, he has worked 22 hours and he plans to
continue working 3 hours per week. Write an equation
that models the hours Juan will work as a function of
time.
37. Determine the equation of the line from the
graph.
38. A closet organizer charges a $100 initial
consultation fee plus $30 per hour. Write an equation
that shows the total cost of the organizers fees.
40. Using the table, write an equation of the line in
slope-intercept form
x
y
39. A ladder is leaned against a building. The bottom of
the ladder is 9 feet from the building. The top of the
ladder is 16 feet above the ground. How would you
express this as a rate of change (slope)?
-2
-2
0
2
2
6
41. Identify which data table below has the greatest
rate of change.
A
B
C
x y
x y
x y
1 2
1 3
0 1
3 4
2 -2
1 3
5 6
3 -7
2 5
43. Which equation has the least rate of change?
A) y  3x  4
C) y  x  5
B) y  4 x  3
D) y 
1
x 2
3
42. Write an algebraic equation that describes the
relationship between x and y (slope intercept form)
x
y
5
16
6
19
7
22
8
25
9
28
44. The table shows some temperatures on the
Celsius scale and the corresponding temperatures on
the Fahrenheit scale. Describe the data using
linear/nonlinear and increasing/decreasing.
45. Analyze the scatter plot to the right. What
can you conclude from the graph.
46. Draw a line of best
fit on the graph. Then
predict the # of ocelots
living at the wildlife
refuge in 2014?
47. Tell whether the ordered pair is a solution of the
given system.
48. Solve the system of equations.
y=x+1
(0, -5)
y = -6x + 5
4x + y = 6
x–y=5
49. The Jackson family is deciding between two lawncare services. Green Lawn charges a $49 start-up
fee, plus $29 a month. Grass Team charges $69 a
month with no start-up fee. Write s system of
equation that represents what the cost would be?
DO NOT SOLVE. Only write the system of equation.
50. Devon and Destiny are attending the premiere to
Iron Man 3. Devon bought 3 large popcorns and 2
small drinks for a total of $21.00. Destiny bought 2
large popcorns and 4 small drinks for a total of
$22.00. Write a system of equations to find the cost
of a (one) large popcorn and of a (one) small drink.