Font size
S
M
L
XL
WorksheetsAlgebra Unit 1 & 2 Test Review
Total questions: 91
Worksheet time: 4hrs 15mins
Name
Class
Date
1.
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: {-4, 0, 1, 2}
R:{-4, -3, 1}
R:{-4, -3, 1}
c)
D: {0, 1, 2, 3, 4}
R:{1, -3, -4}
R:{1, -3, -4}
d)
D: {0, 1, 2, -4}
R: {1, -3, -4, 1}
R: {1, -3, -4, 1}
2.
Identify the domain of the following relation:
a)
{-6, 14, 2, 28}
b)
{(-6,14), (0,32), (2,38), (4,44)}
c)
{-6, 0, 2, 4}
d)
{14, 32, 38, 44}
3.
What is the range?
a)
{-3, -1, 2, 4}
b)
{0, 4, 7}
c)
{0, 4, 4, 7}
d)
{7, 4, 0}
4.
a)
Function
b)
Not a Function
5.
What is the Domain of this linear function?
a)
-3 < x ≤ 5
b)
x = -1
c)
5 < x ≤ -3
d)
-2 < x ≤ 6
6.
What is the Range of this linear function?
a)
-1 < y ≤ 1
b)
y = -1
c)
5 < y ≤ -3
d)
y=1
7.
a)
A
b)
B
c)
C
d)
D
8.
Is this a function? Explain.
a)
Yes; it passes the horizontal line test.
b)
No; it is not a straight line.
c)
Yes; it passes the vertical line test.
d)
No; there is a line connecting the dots.
9.
a)
Function
b)
Not a Function
10.
a)
Function
b)
Not a Function
11.
If h(a) = 3 - 2a
Find h(-3).
Find h(-3).
a)
12
b)
-2
c)
-3
d)
9
12.
If f(x)=6x2-4,
what is f(1)?
what is f(1)?
a)
13
b)
0
c)
12
d)
2
13.
What is the first step in getting "x" by itself?
3x - 7 = 28
3x - 7 = 28
a)
subtract 7
b)
add 7
c)
multiply by 3
d)
divide by 3
14.
a)
x = -13
b)
x = -4/3
c)
x = 4/3
d)
x = 13
15.
a)
x = 3
b)
x = -3
c)
x = 1
d)
x = -1
16.
What is p?
2 (p + 8) = 22
2 (p + 8) = 22
a)
p = -3
b)
p = 6
c)
p = 3
d)
p = -6
17.
8x+7-3x=6x+19-4x
a)
x=4
b)
x=8
c)
x=-2
d)
x=-7
18.
2d-1=s
solve for d
solve for d
a)
d=2s+1
b)
d=2s-1
c)
d=(s+1)/2
d)
d=(s-1)/2
19.
ax+r=7
solve for r
solve for r
a)
r=7/ax
b)
r=7-ax
c)
r=7+ax
d)
r=7ax
20.
Solve for y:
y + 2 = 3x
y + 2 = 3x
a)
y = 2x + 3
b)
y= 3x +2
c)
y= 3x -2
d)
y= 6x
21.
What is the solution for the inequality
8 - 4x < 20
8 - 4x < 20
a)
x < -3
b)
x > -3
c)
x < 3
d)
x > 3
22.
The temperature in the south is 20 degrees and is decreasing by 3 degrees each hour. The temperature in the north is -2 degrees and is increasing by 8 degrees each hour. How long until the temperatures are the same?
a)
2 hours
b)
3 hours
c)
4 hours
d)
5 hours
23.
Solve for x
4 - (3x + 7) = 9
4 - (3x + 7) = 9
a)
x = -2/3
b)
x = 4
c)
x = -4
d)
x= 2/3
24.
Solve for x
32 - x = -3(x - 4)
32 - x = -3(x - 4)
a)
x = -10
b)
x = -16
c)
x = -18
d)
x = -22
25.
Mona is deciding between a subscription to Hulu or HBO. Hulu has a membership fee of $50 and costs $7.99 per month. HBO costs $15 per month. Write an inequality that represents how long HBO is cheaper than Hulu.
a)
15 < 50 + 7.99x
b)
15 > 50x + 7.99
c)
15x < 50 + 7.99x
d)
15x > 50x + 7.99
26.
Simplify the following expression
(5x + 20) ÷ 5
(5x + 20) ÷ 5
a)
x + 4
b)
x + 20
c)
5x + 4
d)
5x + 20
27.
Cassie has a budget of $100 to spend on pens and paper. The pens costs $10 per package and the paper costs $15 each. If she plans on buying 4 packages of pens, how much paper can she buy?
a)
6 packages
b)
5 packages
c)
3 packages
d)
4 packages
28.
Which of the following is equivalent to
6x + 2y = 28
6x + 2y = 28
a)
y = 3x + 14
b)
y = -3x + 14
c)
y = 3x - 14
d)
y = -3x - 14
29.
Ms. Schuster uses the formula
.5(x - 200) + 40 to calculate her phone bill. Which statement describes the cost of her phone bill?
.5(x - 200) + 40 to calculate her phone bill. Which statement describes the cost of her phone bill?
a)
She is charged a base fee of $200
b)
She is charged $0.50 per text after 200 texts
c)
She is charged $0.50 per
d)
She pays a flat fee of $45
30.
Simplify the expression
a)
6x - 4
b)
-6x - 4
c)
6x + 4
d)
-6x + 4
31.
Knightly News charges $25 per week to run an ad. Steele Spread charges $198 plus $3 per week. For how many weeks will the total cost at Knightly News be less expensive than the cost at Steele Spread?
a)
16 weeks
b)
18 weeks
c)
20 weeks
d)
22 weeks
32.
Simplify the following expression
7 - (x + 5) + 2(x - 9)
7 - (x + 5) + 2(x - 9)
a)
x-16
b)
2x - 6
c)
x + 3
d)
-5x - 53
33.
Solve the formula for r.
C = 2πr
C = 2πr
a)
r = 2Cπ
b)
r = 4Cπ
c)
r = c/2π
d)
2r = Cπ
34.
What values of x satisfy the inequality?
-(4x - 15) < 8x + 3
-(4x - 15) < 8x + 3
a)
x < 1
b)
x < -1
c)
x > 1
d)
x > -1
35.
Solve this inequality
4x + 14 < -2(4x - 1)
4x + 14 < -2(4x - 1)
a)
x > 1
b)
x < 1
c)
x > -1
d)
x < -1
36.
Is this graph a function and how can you tell?
a)
Yes its a function cause it doesn't cross itself
b)
No it's not a function because it goes through the origin
c)
No it's not a function because the x value 4 has y values of -2 & 2
d)
No it's not a function because the y value 4 has x values of -2 & 2
37.
Is this mapping a function and how can you tell?
a)
Yes its a function cause all the numbers have lines
b)
No it's not a function because there a 5 in both ovals
c)
No it's not a function because the x value 5 has y values of 2 & 9
d)
No it's not a function because the y value 5 has x values of 2 & 9
38.
Is this table a function and how can you tell?
a)
Yes its a function because there are not variables for missing numbers
b)
No it's not a function because the numbers don't follow any pattern
c)
No it isn't a function because the x value 4 has y values of 7& 14
d)
No it's not a function because the y value 4 has x values of 7& 14
39.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
40.
(2 x 5) + 18
a)
48
b)
20
c)
28
41.
4(8) ÷ (8 − 6)
a)
-2
b)
18
c)
-1
d)
16
42.
18 + 2 x 4
a)
80
b)
26
c)
24
d)
13
43.
Simplify the Expression
42 + 40 ÷ 8
42 + 40 ÷ 8
a)
7
b)
21
c)
6
d)
81
44.
If x = 4 and y = 1, evaluate x2 + 3y
a)
45
b)
19
c)
11
d)
13
45.
7[12 − (6 − 2) ÷ 4]
a)
7
b)
77
c)
14
d)
0
46.
Evaluate f(-2) if f(x) = x2+ 3
a)
-1
b)
1
c)
7
d)
-7
47.
If f(x) = -4x - 5 and
g(x) = 3 - x,
what is g(-4) + f(1)?
g(x) = 3 - x,
what is g(-4) + f(1)?
a)
7
b)
-2
c)
-9
d)
-10
48.
If h(a) = 3 - 2x2, find h(-3).
a)
33
b)
21
c)
39
d)
-15
49.
Given h(x) = 5 - 9x, find h(8).
a)
h(8) = -360
b)
h(8) = -67
50.
Given g(x) = 4x - 7, find g(-9).
a)
g(-9) = 29
b)
g(-9) = -43
c)
g(-9) = 43
d)
g(-9) = -29
51.
g(x) = 3x + 1
g(2) = _______
g(2) = _______
a)
6
b)
7
c)
8
d)
9
52.
If h(a) = 3 - 2x2
Find h(-3).
Find h(-3).
a)
33
b)
21
c)
39
d)
-15
53.
the product of x and sixteen
a)
x + 16
b)
x - 16
c)
16x
d)
x/16
54.
take 10 away from s
a)
10 - s
b)
s + 10
c)
s - 10
d)
s/10
55.
Complete the Table.
a)
25, 32, 39, 46
b)
7, 32, 57, 82
c)
32, 39, 46, 53
d)
7, 14, 21, 28
56.
Which sequence(s) represent an arithmetic sequence?
a)
a and e
b)
a, b, and e
c)
b, c, and d
d)
b
57.
Is this an arithmetic sequence?
a)
yes
b)
maybe
c)
sometimes
d)
no
58.
Write the explicit rule for this situation.
a)
f(n) = 35 + 3(n − 1)
b)
f(n) = 35 −3(n − 1)
c)
f(n) = 3 + 35(n − 1)
d)
f(n) = −3 + 35(n − 1)
59.
Write the recursive rule for this situation.
a)
f(n) = f(n − 1) + 58, n ≥ 2
b)
f(n) = 58 + 7(n − 1)
c)
f(n) = 58 − 7(n − 1)
d)
f(n) = f(n − 1) + 7, n ≥ 2
60.
What is the common difference?
a)
−16
b)
84
c)
16
d)
0
61.
Find f(6) or a6 for this situation.
a)
60
b)
160
c)
280
d)
150
62.
Write the explicit rule for this situation in simplified form.
a)
f(n) = −8n + 60
b)
f(n) = 8n + 44
c)
f(n) = −8n + 52
d)
f(n) = f(n − 1) − 8
63.
What will be the length if there were 20 grocery carts? (Hint: Find explicit rule first)
a)
98 inches
b)
266 feet
c)
266 inches
d)
98 feet
64.
Write the first four terms in the sequence.
a)
12, 14, 16, 18
b)
12, 10, 8, 6
c)
14, 12, 10, 8
d)
14, 16, 18, 20
65.
The explicit rule for arithmetic sequence is an = a1 + d(n − 1), what does the d represent.
a)
common denominator
b)
common difference
c)
common divider
d)
uncommon difference
66.
A sequence can be generated by using an = a(n − 1) + 10, where a1 = 23 and n is a whole number greater than 1. What are the first five terms in the sequence?
a)
33, 43, 53, 63, 73
b)
23, 33, 43, 53, 63
c)
23, 230, 2300, 23000, 230000
d)
23, 13, 3, −7, −17
67.
In the recursive rule for the arithmetic sequence an = a(n − 1) + d, the (n − 1) represent the ________________.
a)
next term
b)
current term
c)
previous term
d)
first term
68.
Using this explicit rule an = 2n + 5, write the first four terms in the sequence.
a)
7, 9, 11, 13
b)
5, 7, 9, 11
c)
7, 5, 3, 1
d)
5, 3, 1, −1
69.
Is the sequence arithmetic: 37, 31, 25, 19, ...
a)
Yes
b)
No
70.
Is the sequence arithmetic: -3, 3, -3, 3, ...
a)
Yes
b)
No
71.
Is the sequence arithmetic: 78, 785, 7855, 78555, ...
a)
Yes
b)
No
72.
Is the sequence arithmetic: 17, 9, 1, -7, ...
a)
Yes
b)
No
73.
Find the common difference: -34, -29, -24, -19, ...
a)
d = -5
b)
d = 5
c)
d = -6
d)
d = 6
74.
Identify the common difference.
97, 86, 75, 64, ...
97, 86, 75, 64, ...
a)
8
b)
11
c)
-11
d)
-8
75.
Find the common difference: 29, 21, 13, 5, ...
a)
d = -10
b)
d = -9
c)
d = -8
d)
d = -7
76.
Find the common difference: -18, -23, -28, -33, ...
a)
d = -5
b)
d = 5
c)
d = -3
d)
d = 3
77.
Find the common difference: 1, 201, 401, 601, ...
a)
d = 100
b)
d = 101
c)
d = 200
d)
d = 201
78.
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
79.
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
80.
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
81.
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
82.
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
83.
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
84.
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
85.
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
86.
Create the explicit formula for the sequence:
2, 8, 14, ...
(Hint: Write your formula and then simplify it.)
2, 8, 14, ...
(Hint: Write your formula and then simplify it.)
a)
an=2+6n
b)
an=-6+6n
c)
an=6n-4
d)
an=4-6n
87.
Create the explicit formula for the sequence:
2, 8, 14, ...
(Hint: Write your formula and then simplify it.)
2, 8, 14, ...
(Hint: Write your formula and then simplify it.)
a)
an=2+6n
b)
an=-6+6n
c)
an=6n-4
d)
an=4-6n
88.
Find the 10th term.
a)
16
b)
12
c)
21
d)
30
89.
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
90.
Find the 35th term in the arithmetic sequence: -10, -14, -18, -22, ...
a)
-216
b)
-148
c)
-146
d)
-150
91.
Find a26 in the arithmetic sequence: -15, -35, -55, -75, ...
a)
-515
b)
-490
c)
-535
d)
460
Reset
