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WorksheetsMilestones Review 8th
Total questions: 125
Worksheet time: 9hrs 10mins
Name
Class
Date
1.
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.
2.
a)
Function
b)
Not a Function
3.
Is this mapping a function or not a function?
a)
Function
b)
Not a Function
4.
Is this table a function or not a function?
a)
Function
b)
Not a Function
5.
Is this table a function or not a function?
a)
Function
b)
Not a Function
6.
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)
7.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
8.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
9.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
10.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
11.
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
12.
f(x)=2x+1
If f(x)=4, what is the value of x?
If f(x)=4, what is the value of x?
a)
3/2
b)
2
c)
1/2
d)
4
13.
All of the y values or outputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
14.
All of the x values or inputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
15.
For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.
a)
D: {1, -3, -4,}
R: {0, 1, 2, -4}
R: {0, 1, 2, -4}
b)
D:{0, 1, 2, -4}
R:{1, -3, -4}
R:{1, -3, -4}
c)
D:{0, 1, 2, 3, 4}
R:{1, -3, -4}
R:{1, -3, -4}
16.
What is the range of the following relation:
(9, -2) (4, 3) ( 8, 10) ( -4, 8)
(9, -2) (4, 3) ( 8, 10) ( -4, 8)
a)
-4, 4, 8, 9
b)
-2, 3, 8, 10
c)
(9, -2) ( 4, 3)
d)
(8, 10) (-4, 8)
17.
How do you calculate slope using a graph?
a)
rise over run
b)
run over rise
c)
look at the y intercept
d)
look at the x intercept
18.
Find the slope of the line.
a)
1/2
b)
-1/2
c)
2
d)
-2
19.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
20.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
21.
Find the slope of the line.
a)
1/4
b)
-1/4
c)
-4
d)
4
22.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
23.
Find the slope of the line.
a)
-2
b)
2
c)
-1/2
d)
1/2
24.
Find the slope.
a)
1/4
b)
4
c)
-1/4
d)
-4
25.
Find the slope.
a)
-2
b)
2
c)
1/2
d)
-1/2
26.
Find the slope between the two points.
(3, 7) and (-4, 2)
(3, 7) and (-4, 2)
a)
7/5
b)
5/7
c)
2/3
d)
2
27.
Find the slope between the two points.
(3, 7) and (-4, 2)
(3, 7) and (-4, 2)
a)
7/5
b)
5/7
c)
2/3
d)
2
28.
Tell whether the table represents a linear or non-linear relationship. If it is linear, state the rate of change.
a)
Linear -2/3
b)
Linear 2/3
c)
Linear -3/2
d)
Not linear
29.
Find the slope.
a)
2/5
b)
-2/5
c)
5/2
d)
-5/2
30.
Find the slope between the two points.
(4, 2) and (3, 8)
(4, 2) and (3, 8)
a)
-1/6
b)
-6
c)
1/6
d)
6
31.
Tell whether the table represents a linear or non-linear relationship. If it is linear, state the rate of change.
a)
Linear 2/3
b)
Linear -3/2
c)
Linear -2/3
d)
Not linear
32.
Find the slope between the two points.
(2, 7) and (5, 8)
(2, 7) and (5, 8)
a)
1/3
b)
-1/3
c)
3
d)
-3
33.
Tell whether the table represents a linear or non-linear relationship. If it is linear, state the rate of change.
a)
Linear 1
b)
Linear -1
c)
Linear -2
d)
Not Linear
34.
Tell whether or not the table shows a proportional linear relationship. If so, tell the constant of proportionality.
a)
Proportional 2/5
b)
Proportional 5/2
c)
Proportional 5
d)
Not Proportional
35.
What is the slope in the picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
36.
What is the slope in the picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
37.
What type of slope does the graph have?
a)
Zero
b)
Undefined
c)
Negative
d)
Positive
38.
What type of slope does the following graph have?
a)
Postive
b)
Negative
c)
Zero Slope
d)
Undefined
39.
What is the slope in the picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
40.
What is the slope in this picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
41.
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
42.
Find the slope of the line that passes through the points (2, 4) and (6, 12)
a)
1/2
b)
-1/2
c)
2
d)
-2
43.
What is the slope in the equation y=2x + 3?
a)
2
b)
3
c)
5
d)
Cannot be Determined
44.
What is the y-intercept in the equation y= -2x + 5
a)
-2
b)
3
c)
5
d)
Cannot be Determined
45.
Find the slope of the line that passes through (-9, -6) and (-9, -10)
a)
0
b)
Undefined
c)
-3
d)
-9
46.
Find the slope of the line that passes through (10, -8) and (1, 12).
a)
20/9
b)
-20/9
c)
4/9
d)
9/4
47.
What is the slope in the equation y=2x + 3?
a)
2
b)
3
c)
5
d)
Cannot be Determined
48.
What does 'b" represent in y=mx=b
a)
y-intercept
b)
macaroni
c)
nothing
d)
slope
49.
Find the slope of the line that passes through
(1, -19) and (-2, -7)
(1, -19) and (-2, -7)
a)
-4
b)
4
c)
1/4
d)
-1/4
50.
What is the slope in the equation: y=4x+3
a)
3
b)
4x
c)
4
d)
x
51.
If m=3 and b=6, what is the correct slope intercept equation?
a)
y=3-6
b)
y=3x-6
c)
y=3x+6
d)
y=6x+3
52.
Determine the slope and y-intercept. y = 3/2x + 3
a)
slope: 5 y-intercept: (0,3)
b)
slope: 3/2 y-intercept: (0,3)
c)
slope: 4 y-intercept: (0,3/2)
d)
slope: 1/5 y-intercept: (0,5)
53.
Determine the slope and y-intercept. 4x + y = -10
a)
slope: 4 y-intercept: (0,10)
b)
slope: -4 y-intercept: (0,-10)
c)
slope: -4 y-intercept: (0,10)
d)
slope: 4 y-intercept: (0,-10)
54.
561 = ?
a)
56
b)
0
c)
1
d)
65
55.
Anything raised to a power of zero is always:
a)
0
b)
1
c)
itself
d)
negative
56.
7⁰ = ?
a)
1
b)
7
c)
0
d)
-7
57.
Which is equivalent to 34 ?
a)
27
b)
9
c)
81
d)
12
58.
Simplify the expression.
x4 ⋅ x12
x4 ⋅ x12
a)
x3
b)
x48
c)
x16
d)
x8
59.
Simplify
a)
5c² ∕ d⁴
b)
25c² ∕ d⁴
c)
5c² ∕ d²
d)
joe
60.
7v4 · 3v7 · 9v5
a)
189v16
b)
189v140
c)
1/189v16
d)
7v4 · 3v7 · 9v5
61.
(m-8)-3
a)
m24
b)
1/m24
c)
m-24
d)
1/m-24
62.
Simplify by combining like terms:
4x2 - 3x + 11 -2x
4x2 - 3x + 11 -2x
a)
4x2 - 5x + 11
b)
11x + 11
c)
16x2 - 5x + 11
d)
10x2
63.
Simplify each expression.
(6x + 4x4 - 3x2) + (7x4 + 5x2 + 8x)
(6x + 4x4 - 3x2) + (7x4 + 5x2 + 8x)
a)
11x4 + 2x2 + 14x
b)
16x4 + x2 + 14x
c)
11x4 + x2 + 14x
d)
11x4 + 2x2 + 10x
64.
(x3-x2+4) - (3x3-2x2+3)
a)
-2x3-3x2+7
b)
-2x3+x2+1
c)
2x3-3x3-1
d)
4x3-3x2+7
65.
Which of the following are examples of like terms?
a)
2 and 2x
b)
y3 and x3
c)
y and x
d)
-3x and 3x
66.
Simplify (x2y)(x3y4)
a)
x5y5
b)
x/y
c)
x-1y-3
d)
x6y4
67.
Simplify the expression.
a)
x4
b)
x(15/9)
c)
x-6
d)
x6
68.
a)
1
b)
0
c)
7a3b-1
d)
7ab
69.
Simplify the expression.
a)
6x5
b)
6x6
c)
36x6
d)
36x5
70.
Simplify the expression.
a)
b)
c)
d)
71.
Simplify the expression.
a)
b)
c)
d)
72.
Simplify the expression.
a)
b)
c)
d)
73.
Simplify the expression.
a)
b)
c)
74.
Simplify the expression.
a)
b)
c)
d)
75.
Simplify the exponential expression:
a)
10x-2
b)
2x2
c)
2x12
d)
10x12
76.
(-5d⁴g⁵)(2dg)
a)
-10dogs
b)
10d³g⁴
c)
-10d⁴g⁵
d)
-10d⁵g⁶
77.
Mr. Z is starting his own car club, there is a $30 join up fee and a $5 monthly fee.
a)
y = 30x + 5
b)
y = 5x + 30
78.
At a pet store, it cost $5 to wash a cat and $7.50 to wash a dog. Last week, the store made $60 from washing cats and dogs. Write a linear equation that could be used to find how many cats and dogs were washed?
a)
5x + 7.5y = 60
b)
5y + 7.5x = 60
79.
You and your friends plan to attend the State fair this weekend. Admission to the fair is $5 and the cost per rid is $0.50. How many rides can you go on if you have $20.
a)
20 rides
b)
30 rides
80.
The cost for 7 dance lessons is $82. The cost for 11 lessons is $122. Write and solve an equation to find the cost for 4 lessons.
a)
62
b)
52
81.
At Eagle Bay, it costs $10 per hour to rent a canoe. Nick and his friends rented a canoe for 3 hours and paid $45. Write and solve a linear equation to find the cost to rent the canoe for 7 hours.
a)
95
b)
85
82.
In order to join a flying club, there is a $200 annual fee and $20 a month fee to maintain the flying club runway. Write an equation to model this situation. After how many months will the cost be $400?
a)
10 Months
b)
5 Months
c)
Not enough information
83.
What does "m" represent in y=mx+b?
a)
y-intercept
b)
slope
c)
mushroom
d)
nothing
84.
In order to join an online learning community, there is a $20 startup fee and a $5 monthly fee. Write an equation in slope-intercept form that models this situation.
a)
y = 20x + 5
b)
y = 5x +20
85.
Suppose that a bike rents for $4 plus $1.50 per hour. Write an equation in slope-intercept form that models this situation.
a)
y = 4x + 1.50
b)
y = 1.50x + 4
86.
√ 4
a)
2
b)
7
c)
16
d)
1
87.
Simplify √50
a)
2√5
b)
25√2
c)
5√2
d)
10√2
88.
Simplify the radical - 10√20
a)
5√20
b)
20√5
c)
4√5
d)
40√5
89.
Simplify the radical - 3√27
a)
9
b)
9√3
c)
3√9
d)
3
90.
Simplify the radical - 3√44
a)
6√11
b)
11√6
c)
2√11
d)
8√3
91.
Simplify √40
a)
4√10
b)
10√4
c)
2√10
d)
10√2
92.
Simplify 4√75
a)
4√5
b)
12√5
c)
20√3
d)
7√3
93.
Simplify the radical...
√20a²b⁴
a)
2ab²√5
b)
4ab²√5
c)
5ab²√2
d)
2a²b²√5
94.
Simplify
√45n3
√45n3
a)
3n√5n
b)
4n√8
c)
4n√-8
d)
10√n
95.
Simplify the radical - 6√90
a)
10√8
b)
10√18
c)
18√10
d)
18√9
96.
a)
y2z10√xy
b)
20yz√xy
c)
xy2z10√y
d)
yz6√xy2z2
97.
Simplify the following radical: √32
a)
3√2
b)
4√8
c)
16√2
d)
4√2
98.
√48
a)
4√2
b)
6√3
c)
4√3
d)
4√2
99.
a)
x3√x
b)
7x√x2
c)
x6√x
d)
√x
100.
a)
x4y4√y
b)
72xy
c)
xy√y
d)
x2y3√x2
101.
a)
xy√y
b)
x²y²√y
c)
xy√xy
d)
2x2y√y
102.
Is the sequence arithmetic: 37, 31, 25, 19, ...
a)
Yes
b)
No
103.
Is the sequence arithmetic: -3, 3, -3, 3, ...
a)
Yes
b)
No
104.
Is the sequence arithmetic: 78, 785, 7855, 78555, ...
a)
Yes
b)
No
105.
Is the sequence arithmetic: 17, 9, 1, -7, ...
a)
Yes
b)
No
106.
Find the common difference: -34, -29, -24, -19, ...
a)
d = -5
b)
d = 5
c)
d = -6
d)
d = 6
107.
Identify the common difference.
97, 86, 75, 64, ...
97, 86, 75, 64, ...
a)
8
b)
11
c)
-11
d)
-8
108.
Find the common difference: 29, 21, 13, 5, ...
a)
d = -10
b)
d = -9
c)
d = -8
d)
d = -7
109.
Find the common difference: -18, -23, -28, -33, ...
a)
d = -5
b)
d = 5
c)
d = -3
d)
d = 3
110.
Find the common difference: 1, 201, 401, 601, ...
a)
d = 100
b)
d = 101
c)
d = 200
d)
d = 201
111.
Find the next three terms in the arithmetic sequence: -33, -24, -15, -6, ...
a)
-1, 7, 15
b)
-5, 2, 9
c)
3, 12, 21
d)
-65, -73, -81
112.
Find the next three terms in the arithmetic sequence: -3, -8, -13, -18, ...
a)
-20, -24, -28
b)
-21, -25, -29
c)
-23, -28, -33
d)
-24, -29, -32
113.
Find the next three terms in the arithmetic sequence: 9, 19, 29, 39, ...
a)
45, 54, 63
b)
49, 59, 69
c)
39, 49, 59
d)
59, 69, 79
114.
Find the next three terms in the arithmetic sequence: 25, 34, 43, 52, ...
a)
63, 72, 81
b)
79, 88, 97
c)
70, 79, 88
d)
61, 70, 79
115.
Write the recursive formula for 4, 8, 12...
a)
an=an-1-7
b)
an=an-1-4
c)
an=an-1+3
d)
an=an-1+4
116.
Given the sequence:
25, 21, 17, 13,...
Write the explicit equation that models the sequence. (Hint: Simplify your equation.)
25, 21, 17, 13,...
Write the explicit equation that models the sequence. (Hint: Simplify your equation.)
a)
an = 4n + 29
b)
an = -4n + 25
c)
an = -4n + 29
d)
an = 4n + 25
117.
Find the 32nd term of this sequence.
9, 4, -1, -6, -11, ...
9, 4, -1, -6, -11, ...
a)
81
b)
-34
c)
-146
d)
-225
118.
Find the 35th term in the arithmetic sequence: -10, -14, -18, -22, ...
a)
-216
b)
-148
c)
-146
d)
-150
119.
Find the common ratio for the geometric sequence.
a)
10
b)
1/2
c)
2
d)
4
120.
Is the sequence -432, 72, -12, 2,...geometric?
a)
yes
b)
no
121.
What are the next 3 terms in the following geometric sequence:
512, 256, 128, ___, ___, ___, ...
a)
1024, 2048, 4096
b)
32, 8, 2
c)
64, 32, 16
d)
92, 66, 38
122.
Write the explicit formula for the geometric sequence.
a)
an = 4(3)n-1
b)
an = 3(4)n-1
c)
an = -4(3)n-1
d)
an = 3(-4)n-1
123.
What is the 14th term of the geometric sequence?
a)
14,348,907
b)
4,782,969
c)
1,594,323
d)
45
124.
A geometric sequence has a common ration(r) of 3 and the 8th term (a8) is 13,122. What is the first term of the sequence (a1)?
a)
3
b)
6
c)
18
d)
2
125.
Daisy received $2 on her first birthday. Each year, the amount of money she received tripled. How much money will she receive on her 5th birthday?
a)
$10
b)
$300
c)
$162
d)
$416
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