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Math 8grade ash

Total questions: 111

Worksheet time: 5hrs 9mins

Name
Class
Date
1.
Given the sequence:
 25, 21, 17, 13,...
Write the explicit equation that models the sequence.
a)
an = 4n + 29
b)
an = -4n + 25
c)
an = -4n + 29
d)
an = 4n + 25
2.
Find the 22nd term of the following sequence:
5, 8, 11, ...
a)
14
b)
68
c)
63
d)
71
3.
Find the first term of the given sequence:
a14=68
d=3
a)
14
b)
20
c)
26
d)
29
4.
Identify the common difference.
97, 86, 75, 64, ...
a)
8
b)
11
c)
-11
d)
-8
5.
Identify the common difference.
3, 7, 11, 15, ...
a)
6
b)
5
c)
4
d)
2
6.
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
7.
Is the sequence arithmetic: 37, 31, 25, 19, ...
a)
Yes
b)
No
8.
Given the recursive formula, find the first four terms:
an = an-1 + 5
a1 = -16
a)
-16, -21, -26, -31
b)
5, -11, -27, -43
c)
-16, -80, -500, -200
d)
-16, -11, -6, -1
9.
Write the explicit rule for the arithmetic sequence
12, 10, 8, 6, ...
a)
an = 12n - 14
b)
an = 2n - 14
c)
an = -2n + 14
d)
an = -12n + 14
10.
What is the rule (explicit equation) for the nth term given 
60, 55, 50, 45, ...
a)
an= -5+60n
b)
an= -5n+55
c)
an= -5n+65
d)
an= 5n+55
11.
What is the first positive term of the sequence:  -9, -5, -1, .......
a)
5
b)
4
c)
3
d)
1
12.
A list of numbers -10, -6, -2, 2 is _________
a)
an A.P with d = -16
b)
an A.P with d = 4
c)
an A.P with d = -4
d)
Not an A.P
13.

What is the formula for the nthn^{th}  term of the AP  23, 1, 43, ...\frac{2}{3},\ 1,\ \frac{4}{3},\ ...  

a)

Tn=13(n−1)T_n=\frac{1}{3}\left(n-1\right)  

b)

Tn=13(n+1)T_n=\frac{1}{3}\left(n+1\right)  

c)

Tn=23(n+1)T_n=\frac{2}{3}\left(n+1\right)  

d)

Tn=23(n−1)T_n=\frac{2}{3}\left(n-1\right)  

14.

The next term of an AP  7\sqrt{7}  , 28\sqrt{28}  , 63\sqrt{63}  ,......is 

a)

70\sqrt{70}  

b)

84\sqrt{84}  

c)

98\sqrt{98}  

d)

112\sqrt{112}  

15.

The 5th term of an AP is -3 and its common difference is -4. The sum of its first 10 terms is_________

a)

50

b)

-50

c)

30

d)

-30

16.

The common difference of the AP  1p\frac{1}{p} , 1−pp\frac{1-p}{p}  , 1−2pp\frac{1-2p}{p}  ........is

a)

p

b)

-p

c)

-1

d)

1

17.

The sum of first 20 odd natural numbers is

a)

100

b)

210

c)

400

d)

420

18.

2019th term of an AP is written as

a)

a + 2018d

b)

a + (2019 + 1) d

c)

2018 d

d)

2a + 2018 d

19.

If 7 times the 7th term of an AP is equal to 11 times its 11th term, then its 18th term will be

a)

7

b)

11

c)

18

d)

0

20.

The sum of first 'n' terms of an AP is (3n2 + 6n). The common difference of the AP is ______

a)

6

b)

9

c)

15

d)

-3

21.
Is the sequence arithmetic: -3, 3, -3, 3, ...
a)
Yes
b)
No
22.
Is the sequence arithmetic: 78, 785, 7855, 78555, ...
a)
Yes
b)
No
23.
Is the sequence arithmetic: 17, 9, 1, -7, ...
a)
Yes
b)
No
24.
Find the common difference: -34, -29, -24, -19, ...
a)
d = -5
b)
d = 5
c)
d = -6
d)
d = 6
25.
Find the common difference: 29, 21, 13, 5, ...
a)
d = -10
b)
d = -9
c)
d = -8
d)
d = -7
26.
Find the common difference: -18, -23, -28, -33, ...
a)
d = -5
b)
d = 5
c)
d = -3
d)
d = 3
27.
Find the common difference: 1, 201, 401, 601, ...
a)
d = 100
b)
d = 101
c)
d = 200
d)
d = 201
28.
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
29.
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
30.
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
31.
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
32.
Find the 35th term in the arithmetic sequence: -10, -14, -18, -22, ...
a)
-216
b)
-148
c)
-146
d)
-150
33.
Find a26 in the arithmetic sequence: -15, -35, -55, -75, ...
a)
-515
b)
-490
c)
-535
d)
460
34.
Find the 26th term in the arithmetic sequence: 20, 26, 32, 38, ...
a)
182
b)
176
c)
170
d)
-118
35.
Is the sequence arithmetic: 37, 31, 25, 19, ...
a)
Yes
b)
No
36.
Find a20 in the arithmetic sequence: 5, 12, 19, 26...
a)
145
b)
144
c)
142
d)
138
37.
What is the distance from one number to the next in a sequence of numbers that is represented by a (d) in an arithmetic sequence?
a)
Common denominator
b)
Common opposites
c)
Common domain
d)
Common difference
38.
Is the sequence arithmetic: 78, 785, 7855, 78555, ...
a)
Yes
b)
No
39.
Is the sequence arithmetic: 17, 9, 1, -7, ...
a)
Yes
b)
No
40.
Find the common difference: -34, -29, -24, -19, ...
a)
d = -5
b)
d = 5
c)
d = -6
d)
d = 6
41.
Find the common difference: 29, 21, 13, 5, ...
a)
d = -10
b)
d = -9
c)
d = -8
d)
d = -7
42.
Find the common difference: -18, -23, -28, -33, ...
a)
d = -5
b)
d = 5
c)
d = -3
d)
d = 3
43.
Find the common difference: 1, 201, 401, 601, ...
a)
d = 100
b)
d = 101
c)
d = 200
d)
d = 201
44.
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
45.
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
46.
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
47.
Find the 35th term in the arithmetic sequence: -10, -14, -18, -22, ...
a)
-216
b)
-148
c)
-146
d)
-150
48.
Is the sequence arithmetic: 37, 31, 25, 19, ...
a)
Yes
b)
No
49.
Select the explicit rule that represents the sequence.
a)
6 + 5(n - 1)
b)
4 + 6(n - 1)
c)
6 - 4(n - 1)
50.
Find 26th term in the arithmetic sequence: -15, -35, -55, -75, ...
a)
-515
b)
-490
c)
-535
d)
460
51.
Find the 26th term in the arithmetic sequence: 20, 26, 32, 38, ...
a)
182
b)
176
c)
170
d)
-118
52.
Select the explicit rule that represents the sequence.
a)
14(-3)(n - 1)
b)
3 + (n - 1)(14)
c)
14 + (n - 1)(-3)
d)
-3 + (n - 1)(14)
53.
Is the sequence arithmetic: -3, 3, -3, 3, ...
a)
Yes
b)
No
54.
Does this graph have a maximum or minimum value?
a)
maximum
b)
minimum
c)
neither
d)
both
55.
A quadratic function is a function that is shaped as a ___________, a u-shaped curve.
a)
line
b)
parabola
c)
quadratic
d)
square
56.
Standard form of a quadratic equation
a)
y=x²
b)
y=ax²+bx+c
c)
y=mx+b
d)
y=x
57.

Where the parabola (U shape) crosses the x-axis.

a)

Domain

b)

Range

c)

Y-intercept

d)

X-intercept

58.

A vertical line that cuts the parabola into 2 symmetrical halves. This always goes through the vertex and ALWAYS begins with "x=" This is sometimes called the "line of symmetry".

a)

Parabola

b)

Quadratic

c)

Axis of Symmetry

d)

Domain

59.

All possible y-values

a)

Domain

b)

Range

c)

Parabola

d)

Vertex

60.

Where the parabola crosses the y-axis.

a)

X-intercept

b)

Domain

c)

Y-intercept

d)

Axis of Symmetry

61.

What is the green dashed line called?

a)

roots or x-intercepts

b)

parabola

c)

axis of symmetry

d)

y intercept

62.

The vertex is defined as:

a)

The maximum.

b)

The minimum.

c)

The highest or lowest point of the parabola.

d)

The vertical height of the parabola

63.

If the vertex is the highest point of the parabola, it is called a _______________.

a)

valley

b)

peak

c)

minimum

d)

maximum

64.

If the vertex is the lowest point of the parabola, it is called a ________________.

a)

valley

b)

peak

c)

minimum

d)

maximum

65.

What is the significance of the ordered pair (0, -2) to the graph?

a)

It is the vertex

b)

It is an x-intercept

c)

It is the y-intercept

d)

It is the axis of symmetry

66.

The domain of any parabola is all real numbers

a)

True

b)

False

67.

Is this parabola a maximum or minimum?

a)

maximum

b)

minimum

c)

cannot be determined

68.

An equation that can be written in the form y = ax2 + bx + c

a)

Quadratic equation

b)

Polynomical equation

c)

Linear equation

d)

Maxical equation

69.
What are the x- intercepts?
a)
x= 0 and x= -4
b)
x= 0 and x= 4
c)
y= 0
d)
x= 2
70.
Use the graph to determine the solutions.
a)
-1 and -3
b)
1 and -3
c)
1 and 3
d)
-1 and 3
71.
How many solutions does this graph have?
a)
one
b)
two
c)
no solutions
d)
cannot be determined
72.
Does the following graph have a maximum or minimum.
a)
Maximum
b)
Minimum
73.
What is the domain and the range for the graph?
a)
Domain : -2 ≤ x ≤ 2
Range : 0 ≤ y ≤ 4
b)
Domain : 0 ≤ x ≤ 4
Range : -2 ≤ y ≤ 2
c)
Domain : All real #s
Range : y ≤ 4
d)
Domain : -2 ≤ x ≤ 2
Range : y ≤ 4
74.
What are the coordinates of the y-intercept?
a)
(-3, 0)
b)
(0, -3)
c)
(2, 1)
d)
y=-3
75.

Quadratic equations take the shape of a _______ when graphed.

a)

parabola

b)

straight line

c)

snaked line

d)

elliptical

76.
Does this parabola have a minimum or maximum and what is its value?
a)
minimum: 2
b)
maximum: 2
c)
minimum: 5
d)
maximum: 5
77.

Determine the domain and range of the function

a)

Domain: All real numbers

Range: All real numbers

b)

Domain: x ≥ -4

Range: All real numbers

c)

Domain: All real numbers

Range: y ≥ -4

d)

Domain: -1 ≤ x ≤ 5

Range: y ≥ -4

78.

A parabola has a vertex at (-3,2).

What is the axis of symmetry?

a)

y = -2

b)

x = 3

c)

x = -3

d)

y = 2

79.

Use the picture to find the vertex and axis of symmetry

a)

Vertex (3,8) Axis x = 3

b)

Vertex (3,8) Axis y = 3

c)

Vertex (8,3) Axis x = 3

d)

Vertex (8,3) Axis y = 3

80.

What is another name for the x-intercepts and solutions of a quadratic?

a)

y-intercept

b)

Zeros

c)

x-axis

d)

They don't have another name

81.
Classify by number of terms:
3x3 – 6x
a)
Monomial
b)
Binomial
c)
Trinomial
d)
4-Term Polynomial
82.
Classify:
2n³
a)
Monomial
b)
Binomial
c)
Trinomial
d)
Polynomial
83.
What are like terms?
Terms that have....
a)
the same variables
b)
the same exponents
c)
the same coefficients
d)
the same variables and exponents
84.
Combine like terms
3x + 2x + 3y - 7y
a)
5x + 10y
b)
5x + 4y
c)
5x - 4y
d)
5x -10y
85.
Simplify by combining like terms:
4x2 - 3x + 11 -2x
a)
4x2 - 5x + 11
b)
11x + 11
c)
16x2 - 5x + 11
d)
10x2
86.
The number in front of the variable is called the.... 
a)
exponent
b)
base
c)
coefficient
d)
fronter
87.
Which pair is an example of like terms?
a)
2a and 2b
b)
x and x2
c)
3k and 3k3
d)
y2 and 2y2
88.

What is the the DEGREE:

4x3 - 5x2 + 2x - 1

a)

1

b)

2

c)

3

d)

4

89.

What is the coefficient of this term?

9x3

a)

None

b)

9

c)

3

d)

x

90.

Simplify the Expression:

3x + 6 - 2x +7

a)

14

b)

14x

c)

x + 13

d)

x - 13

91.

Simplify this polynomial:

3x2 - x + 2 - 5x2 + 8x - 5

a)

8x2 + 9x + 7

b)

-2x2 + 7x - 3

c)

2x2 + 7x - 3

d)

5x2 - 3

92.

Simplify this polynomial:

n - 10 + 9n - 3

a)

-3

b)

9n - 3

c)

n

d)

10n - 13

93.

Classify by number of terms:

5x2 – 6x + 3

a)

Monomial

b)

Binomial

c)

Trinomial

d)

4-Term Polynomial

94.

What is the constant of this polynomial?

2x3 - 8x2 + 3x - 7

a)

2

b)

-8

c)

3

d)

-7

95.

What is the degree of this polynomial?

2x4 - 3x5 + x

a)

-3

b)

2

c)

4

d)

5

96.

How many terms are in this polynomial?

2x3 - 8x2 + 3x - 7

a)

7

b)

1

c)

4

d)

2

97.
Find the product:
(2x+3)2
a)
2x+3+2x+3
b)
4x2+12x+9
c)
4x2+9
d)
16x2+9
98.
Find the sum.
(3y2 + y3 - 5) + (4y2 -4y + 2y3 + 8)
a)
3y3 + 7y2 - 4y + 3
b)
4y2 + 3y3 - y + 3
c)
-y4 + 2y3 -y - 4
d)
4y3 + 3y2 -3y + 1
99.
Find the difference. 
(3- 2x + 2x2) - (4x -5 +3x2)
a)
x2 + 6x + 8
b)
2x2 + 5x - 7
c)
-x2 -6x + 8
d)
-2x2 + 11x - 4
100.
Simplify the expression.
-3x2( 7x2 - x + 4)
a)
-21x4 + 3x3 -12x2
b)
7x2 - x + 4 (-3x2)
c)
21x4 + 3x3 + 12x2
d)
-12x2 + 3x3 -21x4
101.
Multiply.
(b+3)(b2+2b+1)
a)
b3+6b2+6b+3
b)
b3+5b2+7b+3
c)
4b3+8b2+3b
d)
3b3+6b2+3b
102.
a)
A
b)
B
c)
C
d)
D
103.
a)
A
b)
B
c)
C
d)
D
104.
4a(5a2 - a + 4)
a)
20a3 - 4a2 + 16a
b)
20a2 - 5a + 8a
c)
20a2 + 4a2 + 16a
d)
20a3 +3a2 + 16a
105.
Multiply.
(b+3)(b2+2b+1)
a)
b3+6b2+6b+3
b)
b3+5b2+7b+3
c)
4b3+8b2+3b
d)
3b3+6b2+3b
106.
Simplify:
(3x - 5) ( 4x2 - 2x - 3)
a)
12x3 - 26x2 - 25x + 15
b)
12x3 - 20x2 - 5x + 15
c)
12x3 - 20x2 - 6x + 15
d)
12x3 - 26x2 + x + 15
107.
Subtract the polynomials.
(3x3 + 3x2 + 5) – (x3 – 2x2 + x – 4)
a)
4x3 + 5x2 + 9
b)
2x3 + 5x2 – x + 9
c)
2x3 + 1x – 1x2 – 1
d)
2x6 +5x5 – 1x – 1
108.
(4x+1)(5x−2)
a)
20x2 + 3x − 2
b)
20x2 − 11x + 5
c)
20x2 − 18x + 2
d)
20x2 − 3x − 2
109.
(5x4 - 4x3 - 2x2 + x - 19) - (x4 + 5x3 + 8x2 + x + 5)
a)
4x4 - 9x3 - 10x2 - 24
b)
4x4 - 9x3 - 10x2 - 2x - 24
c)
4x4 - 9x3 - 10x2 + 2x - 24
d)
-4x4 - 9x3 - 10x2 - 24
110.
(2x + 3)(x2 + 4x + 1)
a)
2x3 + 10x2 + 14x + 4 
b)
2x3 + 11x2 + 14x + 3 
c)
-2x3 - 11x2 + 14x + 5 
d)
x3 - 11x2 + 14x + 3 
111.
What is the perimeter for the given rectangle:
a)
6x3 - 9x2 + 10x - 15
b)
6x2 + 1x - 15
c)
6x2 + 4x + 4
d)
6x3 + 1x2 - 15x

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