WorksheetsFundamentals - SEM2 - Final
Total questions: 100
Worksheet time: 4hrs 6mins
Name
Class
Date
1.
5³⋅5⁴
a)
5⁷
b)
5⁻¹
c)
5¹²
d)
5
2.
Simplify (-1/2)0
a)
1
b)
0
c)
-1
d)
-2
3.
Anything raised to a power of zero is always:
a)
0
b)
1
c)
itself
d)
negative
4.
According to exponent rules, when we multiply the expressions we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
5.
Can you leave a negative exponent in your answer?
a)
YES
b)
NO
6.
In 23 what is the base?
a)
2
b)
3
c)
23
7.
In 23 what is the exponent?
a)
2
b)
3
c)
23
8.
Which is equivalent to 5 x 5 x 5 x 5
a)
53
b)
54
c)
45
d)
55
9.
Which is equivalent to 34
a)
27
b)
9
c)
81
d)
12
10.
What is equivalent to 5 squared?
a)
25
b)
10
c)
55
d)
30
11.
Xm • Xn
a)
XMN
b)
XM+N
c)
Xm+n
12.
(c5)(c3)(c3)
a)
c45
b)
3c11
c)
c11
d)
3c45
13.
Simplify. Your answer should only contain positive exponents.
a)
A
b)
B
c)
C
d)
D
14.
Simplify. Your answer should only contain positive exponents.
a)
A
b)
B
c)
C
d)
D
15.
6⋅6⁷
a)
6⁸
b)
6⁶
c)
6⁷
d)
6
16.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
17.
According to exponent rules, when we raise the power to a power we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
18.
According to exponent rules, when we multiply the expressions we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
19.
According to exponent rules, when we divide the expressions we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
20.
8⁷ ⁄ 8²
a)
8⁵
b)
8⁹
c)
8¹⁴
d)
1⁵
21.
3⁻⁴
a)
1 ⁄ 34
b)
-34
c)
34
d)
1 ⁄ 12
22.
(34x5y6z-7)0
a)
34x5y6 / z7
b)
34x5y6 / x-7
c)
0
d)
1
23.
(3y⁴)²
a)
9y⁸
b)
9y⁶
c)
6y⁸
d)
6y⁶
24.
3x⁻³
a)
1⁄3x³
b)
3⁄x³
c)
3x³
d)
-3x³
25.
Fill in the blank with the correct exponent to make the statement true.
316 = (38)(3_)
316 = (38)(3_)
a)
2
b)
8
c)
4
d)
1
26.
Simplify the exponential expression:
a)
10x-2
b)
2x2
c)
2x12
d)
10x12
27.
Simplify the exponential expression.
a)
2x6y12
b)
2x5y7
c)
8x6y12
d)
8x5y7
28.
Which is greater, 26540 or 50?
a)
26540
b)
50
c)
They are the same
d)
Zero is greater
29.
How do you correctly say 43
a)
4 squared
b)
3 quadrupled
c)
4 cubed
d)
4 to the power of 2
30.
What special word do you use for the exponent of 2?
a)
squared
b)
cubed
c)
triangled
d)
boxed
31.
What type of function is f(x)=2(1/7)x ?
a)
Exponential Growth
b)
Linear
c)
Exponential Decay
d)
None of the Abovee
32.
What is the y-intercept of the function?
a)
2
b)
3
c)
1
d)
-2
33.
What type of function is y = 7(5/4)x?
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None of the above
34.
Is this exponential growth or decay?
a)
Growth
b)
Decay
35.
Is the graph linear, exponential or neither?
a)
Linear
b)
Exponential
c)
Neither
36.
Is the pictured graph growth, decay, or linear or none?
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None
37.
Solve for x.
3x = 27
3x = 27
a)
2
b)
4
c)
3
d)
5
38.
Ty's house is worth $100,000 right now. It will lose value at a rate of 2% per year.
Which function models this situation?
Which function models this situation?
a)
f(x) = 100,000(2)x
b)
f(x) = 100,000(1.02)x
c)
f(x) = 100,000(0.98)x
d)
f(x)=100,000(98)x
39.
What type of function describes the story below?
You have $10 and earn $5 every week.
You have $10 and earn $5 every week.
a)
Linear
b)
Exponential
c)
Neither
40.
What type of function describes the story below?
You have $5 and triple your money every day.
You have $5 and triple your money every day.
a)
Linear
b)
Exponential
c)
Neither
41.
Give the correct name for
2x3
2x3
a)
Quadratic Monomial
b)
Quadratic Trinomial
c)
Linear Monomial
d)
Cubic Monomial
42.
Give the correct name for
3x2+4x-7
3x2+4x-7
a)
Quadratic trinomial
b)
linear binomial
c)
Quartic trinomail
d)
Linear Trinomail
43.
Give the correct name for
2x3+5x
2x3+5x
a)
Linear Binomial
b)
Cubic Binomial
c)
Quadratic Trinomial
d)
Linear Trinomial
44.
Find f(2) if f(x) = 2x2- 5x
a)
6
b)
-6
c)
-2
d)
2
45.
find f(0) if f(x) = -3x2 + 5x + 1
a)
1
b)
-2
c)
3
d)
5
46.
Find f(2) if f(x) = (x-4)(x-4)
a)
4
b)
-4
c)
0
d)
-3
47.
(4x3-5x2+3x)+(-2x3-x2+6x)
a)
2x3-6x2-9x
b)
2x3+6x2+9x
c)
-2x3-6x2+9x
d)
2x3-6x2+9x
48.
(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
49.
5(2x+5)
a)
10x + 5
b)
10x + 25
c)
7x + 10
d)
7x + 25
50.
(x+3)(x+1)
a)
x2+3x+3
b)
2x+4x+3
c)
x2+4x+3
d)
5x + 3
51.
5x(2x + 3)
a)
10x2 + 15x
b)
7x + 15x
c)
7x2 + 8x
d)
25x2
52.
(x-2)(x+1)
a)
x2-2x-2
b)
x2-2
c)
x2+x+2
d)
x2-x-2
53.
(x+5)2
a)
x2+25
b)
2x+10
c)
x2+10x+25
d)
12x
54.
(3x - 2)(6x + 1)
a)
21x2
b)
18x2 + 9x + 2
c)
9x2 - 9x - 2
d)
18x2 - 9x - 2
55.
(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
56.
Find the perimeter of a rectangle with length (x-5) and width (3x+1).
a)
8x-8
b)
4x-4
c)
8x+8
d)
4x+12
57.
Find the product:
(n - 5)(n - 1)
(n - 5)(n - 1)
a)
n2 - 5n + 5
b)
n2 - 6n + 5
c)
n2 + 5
d)
n2 + 6n + 5
58.
Find the product:
(3x + 2)(2x + 4)
(3x + 2)(2x + 4)
a)
6x2 + 16x + 8
b)
5x2 +11x + 6
c)
5x2 + 16x + 6
d)
6x2 + 11x + 8
59.
Combine Like Terms:
4y + 3x3 + 2y + 8x3 - 6y
4y + 3x3 + 2y + 8x3 - 6y
a)
11x3
b)
11x3 + 12y
c)
5x3
d)
11x6
60.
Which one is NOT a monomial
a)
3x - 4
b)
12z
c)
14v8w
d)
lmnop
61.
Classify by number of terms:
3x2 – 8x + 1
3x2 – 8x + 1
a)
Monomial
b)
Binomial
c)
Trinomial
d)
4-Term Polynomial
62.
Find the area of a rectangle with length (x-5) and width (3x+1).
a)
3x2+16x-5
b)
3x2-14x+5
c)
3x2-14x-5
d)
3x²+14x +5
63.
Given the polynomial:
3x2 - 2 + x3
What is the Leading Coefficient?
3x2 - 2 + x3
What is the Leading Coefficient?
a)
3
b)
2
c)
-2
d)
1
64.
Classify by the DEGREE:
2x2 - 5
2x2 - 5
a)
1
b)
2
c)
3
d)
4
65.
Factor x2+12x+20
a)
(x-4)(x+5)
b)
(x+10)(x+2)
c)
(x-10)(x-2)
d)
(x+4)(x+5)
66.
Factor x2-6x+8
a)
(x-4)(x-2)
b)
(x+4)(x+2)
c)
(x-4)(x+2)
d)
(x+4)(x-2)
67.
Factor x2+4x-32
a)
(x+8)(x-4)
b)
(x-8)(x-4)
c)
(x-8)(x+4)
d)
(x+8)(x+4)
68.
Factor x2-8x+7
a)
(x+1)(x+8)
b)
(x+1)(x+7)
c)
(x-7)(x-1)
d)
(x+1)(x-7)
69.
Solve by factoring: y = x2 + 3x - 18
a)
x = -3 and x = 6
b)
x = 3 and x = -6
c)
x = -9 and x = 2
d)
x = 9 and x = -2
70.
What is the vertex of the graph?
a)
(2, 4)
b)
(3, -1)
c)
(0, 8)
d)
(4, 2)
71.
Is this point a max or min?
a)
max
b)
min
72.
What are the green dots called?
a)
axis of symmetry
b)
vertex
c)
parabola
d)
roots or x-intercepts
73.
Determine the values of
a, b, and c for
the quadratic equation:
4x2 – 8x = 3
a, b, and c for
the quadratic equation:
4x2 – 8x = 3
a)
a = 4, b = -8, c = 3
b)
a = 4, b =-8, c =-3
c)
a = 4, b = 8, c = 3
d)
a = 4, b = 8, c = -3
74.
What is this formula?
a)
This is the speed of light formula.
b)
This is the quadratic formula.
c)
This is the zero product property.
d)
This is scary.
75.
What is the name of the imaginary line that cuts a parabola in half and goes through the vertex?
a)
the middle
b)
axis of symmetry
c)
minimum
d)
standard form
76.
How can you tell the direction of the opening of the graph of a parabola by looking at the equation?
a)
The vertex tells you the direction of the opening
b)
The value of "a" tells you the direction of the opening.
c)
All parabolas open upward
d)
All parabolas open downward
77.
If the graph of a quadratic does not intercept the x-axis at any point, then it has:
a)
1 Real Solution
b)
2 Real Solutions
c)
Half a Solution
d)
No Real Solution
78.
Identify the 'b' value: y = 16x2 -8x -24
a)
16
b)
-8
c)
8
d)
-24
79.
The standard form of a quadratic function is
a)
ax2 + bx + c
b)
a(x - h)2 + k
c)
y - y1 = m(x - x1)
d)
Ax + By = C
80.
What is vertex form of a quadratic function
a)
ax2 + bx + c
b)
a(x - h)2 + k
c)
y - y1 = m(x - x1)
d)
Ax + By = C
81.
Simplify
a)
3±√27
b)
3±√9
c)
(9±3√3) / 3
d)
3±√3
82.
What is the radical form of 59/4
a)
∜59
b)
√59
c)
∛59
d)
25
83.
Use the zero product property to solve
x2-x-20=0
x2-x-20=0
a)
x =-20 and x = -1
b)
x = -20 and x= -1
c)
x= -4 and x= 5
d)
x= 4 and x= -5
84.
Use the square root method to solve
81-x2=0
81-x2=0
a)
x= 81
b)
x= -81
c)
x = 9
d)
x = 9 and x = -9
85.
Which is another way of correctly expressing
(x - 3)(x - 3)?
(x - 3)(x - 3)?
a)
(x2 - 32)
b)
(x2 - 3)
c)
(x + 3)(x - 3)
d)
(x - 3)2
86.
Factor:
p2 - 14p
p2 - 14p
a)
p(1 - 14)
b)
2p(p - 7)
c)
p2(1-14)
d)
p(p - 14)
87.
Factor:
x2 - 16
x2 - 16
a)
Prime
b)
( x - 4) ( x + 4)
c)
( x - 8) ( x + 8)
d)
( x - 4) ( x - 4)
88.
True or false:
The solutions, roots, x-intercepts, and zeros of a quadratic equation are all the same thing.
The solutions, roots, x-intercepts, and zeros of a quadratic equation are all the same thing.
a)
True
b)
False, because the solution and root are the same but the x-intercept and zero are different
c)
False, because the x-intercept and root are the same but the zero and solution are different
d)
False, they are all different
89.
What are the x-intercept/s of the function?
a)
{x|x = 3}
b)
{x|x =-3,3}
c)
(3, 0)
d)
(-3, 0)&(3, 0)
90.
Factor completely:
3x2 + 18x +15
Hint: Factor GCF first.
3x2 + 18x +15
Hint: Factor GCF first.
a)
3(x2 + 6x + 5)
b)
(x + 5)(x + 1)
c)
3(x + 5)(x + 1)
d)
Not Factorable
91.
√48
a)
4√2
b)
6√3
c)
4√3
d)
4√2
92.
Simplify the following radical: √150
a)
5√15
b)
5√2
c)
5√6
d)
15√5
93.
√24
a)
4√6
b)
2√6
c)
6√2
d)
2√12
94.
√45
a)
3√5
b)
5√3
c)
9√5
d)
5√9
95.
Simplify:
a)
A
b)
B
c)
C
d)
D
96.
Solve.
a)
no solution
b)
33
c)
61
d)
47
97.
Solve
a)
102
b)
12
c)
98
d)
7
98.
a)
x = 49
b)
x = 53
c)
x = 45
d)
x = 18
99.
√5 × √10
a)
50
b)
2√5
c)
5√2
d)
5√10
100.
√75x²
a)
5x²√3
b)
5x
c)
5x√3x
d)
5x√3
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