NEW
Font size
S
M
L
XL
WorksheetsAlgebra Final Exam
Total questions: 52
Worksheet time: 4hrs 35mins
Name
Class
Date
1.
Write the equation of the line.
a)
y = -1/3x - 2
b)
y = 1/3x - 2
c)
y = 3x - 2
d)
y = -3x - 2
2.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
3.
What is the solution?
a)
1
b)
-2
c)
(1, 2)
d)
(1, -1)
4.
Solve for x and y.
y = 2/3x - 2
y = -x + 3
y = 2/3x - 2
y = -x + 3
a)
(0,3)
b)
(0,-3)
c)
(3,0)
d)
(-3,0)
5.
What is the slope in the equation: y=4x+3
a)
3
b)
4x
c)
4
d)
x
6.
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
7.
Find the slope of the line.
a)
-5/4
b)
5/4
c)
-4/5
d)
4/5
8.
a)
x = 12
b)
x = 24
c)
x = 144
d)
x = 121
9.
What kind of sequence is this?
a)
Arithmetic
b)
Geometric
c)
Neither
10.
Simplify the exponential expression.
a)
2x6y12
b)
2x5y7
c)
8x6y12
d)
8x5y7
11.
If f(x)=3x-9, find f(5).
a)
f(5) = 6
b)
f(5) = 16
c)
f(5) = -4
d)
f(5) = 24
12.
Find the slope
a)
0
b)
undefined
c)
-3
d)
6
13.
If g(x) = 2x2 - 4, find g(-2)
a)
-8
b)
-12
c)
4
d)
0
14.
What is the equation for axis of symmetry?
a)
y=3
b)
x=3
c)
x=5
d)
x=1
15.
What are the green dots called?
a)
axis of symmetry
b)
vertex
c)
parabola
d)
roots or x-intercepts
16.
What is the green dot on the parabola called?
a)
maximum
b)
minumum
c)
roots
d)
zeros
17.
Standard form of a quadratic equation
a)
y=x²
b)
y=ax²+bx+c
c)
y=mx+b
d)
y=x
18.
What is the equation for this parabola in factored form?
a)
y=(x+2)(x-1)
b)
y=(x-2)(x+1)
c)
y=(x-2)(x-1)
d)
y=(x+2)(x+1)
19.
What is the vertex of the parabola: y=2(x-3)2+4
a)
(3,4)
b)
(-3,4)
c)
(3, -4)
d)
(-3,-4)
20.
Which transformation maps the graph of
f(x) = x2 to the graph of g(x) = (x + 4)2?
f(x) = x2 to the graph of g(x) = (x + 4)2?
a)
a reflection across the line x = -4
b)
a reflection across the line y = -4
c)
a translation shifting f(x) 4 units to the left
d)
a translation shifting f(x) 4 units to the right
21.
Match the equation to its description.
a)
Reflected in x -axis and Vertical translation up 4 units
b)
Reflected in x -axis and vertical translation down 4 units
c)
Reflected in x -axis and horizontal translation right 4 units
d)
Reflected in x -axis and horizontal translation left 4 units
22.
What type of function is f(x)=2(1/7)x ?
a)
Exponential Growth
b)
Linear
c)
Exponential Decay
d)
None of the Above
23.
In an exponential function, what does the 'a' represent?
a)
SLOPE
b)
RATE OF CHANGE
c)
INITIAL VALUE
d)
GROWTH OR DECAY FACTOR
24.
Which function represents the table of values?
a)
f(x) = 4x
b)
f(x) = x3
c)
f(x) = (4)x
d)
f(x) = (4)x-1
25.
A petri dish contains 20 bacteria. Find the number of bacteria in the petri dish after 8 hours if the bacteria is tripling every hour.
a)
131,220 bacteria
b)
10,240 bacteria
c)
5.6 x 1015 bacteria
d)
860,934,420 bacteria
26.
Domain?
a)
All the minimum and maximum x values
b)
All the minimum and maximum y values
c)
All real number
d)
The result of a situation
27.
x=0 is the same as no solution.
a)
True....if the value is zero, it means no solution
b)
Depends on the situation
c)
False....no solution means there is no number to complete the equation
d)
X cannot equal zero
28.
an means the same as:
a)
X
b)
The input
c)
Y
d)
The first term
29.
Any number to the zero power is equal to?
a)
0
b)
That number
c)
1
d)
The negative of that number
30.
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
31.
Find the 26th term in the arithmetic sequence: 20, 26, 32, 38, ...
a)
182
b)
176
c)
170
d)
-118
32.
Is the sequence 2, 4, 12, 48,... geometric?
a)
yes
b)
no
33.
Determine whether the sequence is arithmetic, geometric, or neither.
a)
arithmetic
b)
geometric
c)
neither
34.
Find the common ratio for the geometric sequence.
a)
-4
b)
4
c)
1/4
d)
-1/4
35.
If a system of equations has no solution, what does the graph look like?
a)
intersecting lines
b)
parallel lines
c)
skew lines
d)
intersecting lines
36.
If a system of linear equations has one solution, what does this mean about the two lines?
a)
Parallel lines
b)
the same line
c)
Intersecting lines
37.
How many solutions are there in the system of equations?
a)
No Solution
b)
Infinitely Many Solutions
c)
One Solution
d)
Two Solutions
38.
What is the solution to the system of equations?
a)
(-1, -3)
b)
(3, 1)
c)
(1, 3)
d)
(-3, -1)
39.
If a system of equations has infinitely many solutions, what does the graph look like?
a)
intersecting lines
b)
parallel lines
c)
skew lines
d)
the same line (coinciding lines)
40.
According to exponent rules, when we multiply two power with the same base we _______ the exponents.
Example: c6 ⋅ c4
Example: c6 ⋅ c4
a)
add
b)
subtract
c)
multiply
d)
divide
41.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
42.
8⁷ ⁄ 8²
a)
8⁵
b)
8⁹
c)
8¹⁴
d)
1⁵
43.
Simplify
x⁻⁶
x⁻⁶
a)
1 ⁄ x⁶
b)
x⁶
c)
-x⁶
d)
-1 ⁄ x⁶
44.
√28
a)
7√2
b)
7√4
c)
4√7
d)
2√7
45.
a)
x3√x
b)
7x√x2
c)
x6√x
d)
√x
46.
Find the slope.
a)
-2
b)
2
c)
1/2
d)
-1/2
47.
What does the slope tell you about the line?
a)
Steepness
b)
Direction
c)
Rate of change
d)
All of the above
48.
What does 'b" represent in y=mx+b
a)
y-intercept
b)
macaroni
c)
nothing
d)
slope
49.
n -10 +9n -3=
a)
-3
b)
9n-3
c)
n
d)
10n -13
50.
What is the SECOND step to solve this equation?
11-3x=44
a)
Add 3 to both sides
b)
Subtract 11 from both sides
c)
Add 11 to both sides
d)
Divide by -3 on both sides
51.
If f(x) = 2x + 1, find f(1).
a)
f(1) = 1
b)
f(1) = 4
c)
f(1) = 0
d)
f(1) = 3
52.
g(x) = 3x + 1
g(10) = ______
g(10) = ______
a)
14
b)
31
c)
15
d)
-31
Reset
