WorksheetsQUIZ BEE REVIEWER FOR ALGEBRA
Total questions: 235
Worksheet time: 6hrs 39mins
2x+4=8
2
6
12
4
2(4x+6)=36
3
6
4
9
3x+6-4=2(2x+1)
0
2
6
16
Evaluate 4-2f when f=1
6
1
4
2
2(4+x)=4x+4
2
4
0
1
Evaluate p/2 - 5 when p=14
2
7
FACTORISE:
6x² + 13x + 6
(6x + 6)(x + 1)
(4x + 2)(2x + 3)
(x + 5)(4x + 4)
(3x + 2)(2x + 3)
FACTORISE
ax + bx + x
x(a + b + 1)
x(a + b)
x(x + b + a)
x(x + b + 1)
Every Quadratic equation has exactly one root
3. What is b3 + 4 when b = 2?
a. 6
b. 10
c. 12
d. 14
4. Which of the following is the correct translation of the expression 2(n – 5) ?
A. two times n minus five
B. twice n minus five
C. two times the difference of n and five
D. two times the sum of n and five
Evaluate -2x if x = 10
-8
20
-20
4h + 2g + 4
when b = 3
3x + 4 when x = -2
2x + 1 = 5
What is the value of x2−3x−10 when x=5 ?
0
2
4
-5
What is the perimeter of the rectangle:
2x + 7
4x + 14
2x + 14
4x + 7
(x−2y−2z)+(4x+3y−2z)
5x+y−4z
5x+5y+4z
5x−5y−4z
5x+y
6a−2(a+5)
4a+5
4a−5
9a
4a+3
(2b)(b+3)
3b+3
2b2+3
2b2+9
2b2+6b
24x2−10x+2
2x2−10x+2
2x2−5x+1
2x2−5x
4x2−10x
(4x2+10x+2)(21)
2x2+10x+2
2x2+5x+1
2x2+5x
4x2+10x+1
w4+2w−(w2−w−1)
w4−w2+3w+1
w4−w2+w−1
w4−w2−3w−1
w4−w2−w+1
(p+5)(2p+1)
3p+6
2p2+5
2p2+7p+6
2p2+11p+5
(b+1)(b−1)
b2−1
b2
2b−1
2b
x−3(x+1)
2x−3
x2−3
x2−2x−3
−2x−3
2m4m2−6m
2m2−3m
−m
2m−3
−1
4x12x6+6x4−8x2
3x5+23x3−2x
3x4+23x3−2x
3x3+23x2−2x
3x6+23x4−8x2−4x
(a5)3
a8
a2
a15
a125
(p2)(p3)
p9
p8
p6
p5
w2x2w4x2
wx
w2
w2x
1
x24x
4
4x
4x−1
4x2
2y5(y2)2
2y
21y3
2y
2y1
(a4)21
a25
a
a2
a2
3x21
3x
3x
23x
x23
(4y)21
2y
2y
4y
y4
(m2+1)21
m+1
2m
m2+11
m2+1
Consider this function.
f(x) = x(18 − x)
What are the values of f(0), f(5), and f(18)?
f(0) = −18
f(5) = 90
f(18) = −36
f(0) = 0
f(5) = 90
f(18) = −324
f(0) = 0
f(5) = 65
f(18) = 0
f(0) = 18
f(5) = −450
f(18) = −36
This table shows the value of linear function f (x) for different values of x.
Consider this inequality.
y ≥ x − 4
Which of the following graphs represents the solution set of the inequality?
Which equation is in slope-intercept form?
y=mx+b
y=21x+10y
Ax+By=C
5x+10x=100
Which of the following equations are written in STANDARD FORM?
y=3x−5
y−3=5(x+2)
32x+139y=21
5x+7y=3
How do you describe the trend of this graph?
The line is decreasing.
The line is horizontal.
The line is increasing.
The line is vertical.
What is the slope-intercept form of the equation 4x−8y=72
y=21x−9
y=−4x+72
y=−4x−9
y=4x+9
Which of the following graphs are represented by the points (0,7) and (1,4)?
Convert from Standard Form to Slope-Intercept Form.
6x−7y=−35
y=67x−5
y=76x+5
y=75x −6
y=−76x −5
Convert from Standard Form to Slope-Intercept Form.
2x+5y=40
y=25x+8
y=−52x+8
y=−25x−8
y=52x+8
Convert from Standard Form to Slope-Intercept Form.
3x−y=−1
y=3x+1
y=−3x−1
y=−3x+1
y=3x−1
Convert from Standard Form to Slope-Intercept Form.
6x−7y=−35
y=67x−5
y=76x+5
y=75x −6
y=−76x −5
3x - 4y = 24
3x + 2y = 16
7x + y = 19
This system has _____ solutions
no
one
two
Infinitely many
-x + y = -13
-8x - 4y = -8
−4x − 4y = 0
4x + 4y = 0
8x + 4y = 12
y = -2x + 3
4x+9y=28
-4x-y=-28
9x-4y=7
x-4y=-17
Manny’s Music Rental charges a fee of $40 plus $25 per month to rent a saxophone. Sid’s Saxophones charges $25 plus $30 per month to rent the same saxophone.
y = 25x + 40
y = 30x + 25
7x+y=-9
-3x-y=5
x + 2y = -3
x - y = -12
y = 2x + 1
y = 4x - 1
It is a first-degree polynomial equation that can be written in the form ax+b=0
(a)
Which of the following is a linear equation?
2x + 5
2×2=8
5x+4=26
2x=1
If x=2 , find the value of 5x−3 .
13
7
5
- 7
Solve: 4x=5−x
1
2
4
6
Which is NOT a linear equation?
2x−1=5
x2+4=2
2x−7=21
2(x−4)=−18
Solve for x: −3(2−x)=12
18
9
6
-6
52x+4=2
What must be the value of x to make the equation true?
5
-5
10
20
Find two numbers whose sum is 25 and their difference is 9.
10 and 15
12 and 13
8 and 17
9 and 16
Which of the following linear equation has greatest value of x?
2x−5=1
x+7=−4
3x−4=−1
×=2x−18
If ×−1=3 , find the value of 2×− 2 .
3
4
5
6
What is a second degree polynomial equation?
Linear Equations
Quadratic Inequalities
Quadratic Equations
Quadratic Functions
What is the other term for quadratic equations?
Equation of degree 3
Equation of degree 0
Equation of degree 2
None of the above
Which of the following is an example of quadratic equations?
x + 9 = 0
x + y =12
x3 + 5x2 - 14 =0
x2 - 2x = 7
x - 12 = -x2 is an example of quadratic equation.
True
False
Which of the following is NOT an example of quadratic equations?
2x2 - 3 = 2x
-8x - 15 = -x2
x + 3y = 45
x2 + 7x + 10 = 0
Which of the following is in the standard form?
y2 - 7y + 12 = 0
x3 - x2 + 3x -8 = 0
x2 +9x = 34
y2 - 10 = -3y
Which is a quadratic equation is written in its general form?
3x2−6x−8=0
x2+5x−7−2y
2x2−2=0
The general form of a quadratic equation is
ax2+bx+c=0
ax+bx+c=0
ax2−bx+c=0
Every Quadratic equation has exactly one root
Which of the following is an example of quadratic equations?
x + 9 = 0
x + y =12
x3 + 5x2 - 14 =0
x2 - 2x = 7
It is a polynomial equation of degree two that can be written in the form
ax2 + bx + c = 0, where a, b, and c are real numbers and a ≠ 0.
Linear Equation
Linear Inequality
Quadratic Equation
Quadratic Inequality
Which of the following is a quadratic equation?
3s2+s–4
m2–8m–1=0
2x–1=5
5y2+4y≥7
In the quadratic equation 2x2 – 9x – 5 = 0, which is the linear term?
2x2
x2
– 9x
a. – 5
In the quadratic equation 2x2 – 9x – 5 = 0, which is the constant term?
2x2
x2
– 9x
– 5
In the quadratic equation 2x2 – 9x – 5 = 0, which is the quadratic term?
2x2
x2
– 9x
– 5
Write Quadratic or Not Quadratic only.
5x2 + 3x = 7
(a)
Write Quadratic or Not Quadratic only.
9 = 5x2
(a)
Write Quadratic or Not Quadratic only.
9 + x2 = 9x + x2 -1
(a)
Write Quadratic or Not Quadratic only.
2x(x - 9) = 6
(a)
Write Quadratic or Not Quadratic only.
(x - 9) (3 - x) = 0
(a)
Determine the values of a, b, and c for the quadratic equation:
4x2 – 8x = 3
a=4 b=8 c=3
a=4 b=-8 =3
a=-4 b=-8 c=-3
a=4 b=-8 c=-3
Determine the values of a, b, and c for the quadratic equation:
x2 − 6x + 14 = 0
a=2 b=6 c=14
a=1 b=6 c=14
a=1 b=-16 c=14
a=1 b=-16 c=-14
Determine the values of a, b, and c for the quadratic equation:
5x2 + x - 18 = - 9x + 3x2
a=2 b=11 c=-18
a=2 b=10 c=-18
a=-2 b=10 c=-18
a=2 b=-8 c=18
Determine the values of a, b, and c for the quadratic equation:
3m2 - 14 = 11m
a=3 b=14 c=-11
a=3 b=-14 c=11
a=4 b=-14 c=11
a=4 b=14 c=-11
Determine the values of a, b, and c for the quadratic equation:
16m2 - 9 = 0
a=-16 b=9 c=0
a=16 b=9 c=0
a=16 b=0 c=9
a=16 b=0 c=-9
It is a polynomial equation of degree two that can be written in the form
ax2 + bx + c = 0, where a, b, and c are real numbers and a ≠ 0.
Linear Equation
Linear Inequality
Quadratic Equation
Quadratic Inequality
Which of the following is a quadratic equation?
3s2+s–4
m2–8m–1=0
2x–1=5
5y2+4y≥7
In the quadratic equation 2x2 – 9x – 5 = 0, which is the quadratic term?
2x2
x2
– 9x
– 5
In the quadratic equation 2x2 – 9x – 5 = 0, which is the linear term?
2x2
x2
– 9x
a. – 5
In the quadratic equation 2x2 – 9x – 5 = 0, which is the constant term?
2x2
x2
– 9x
– 5
Solve by factoring: x2-6x+9=0
x=3
x=-3
x=-4, x=-2
Not factorable
Solve by extracting the roots:
4m2 = 100
m=25, -25
m=96
m=-96
m=5, -5
Solve by extracting the roots:
3x2 = 192
-32 or 32
-8 or 8
-64 or 64
No Solution
Solve by factoring:
x2−15=−2x
x= -2 ; x= -3
x= 3; x= -8
x= -5 ; x= -3
x= -5 ; x= 3
Solve by factoring: x2-9x+20 =0
x=4, x=5
x=-2, x=10
x=-5, x-4
not factorable
What are the values of the constants a, b, and c in the given function?
f(x)=2x2−3x+4
a = 2; b = 3; c = 4
a = 2; b = -3; c = 4
a = 2; b = -3; c = -4
cannot be determined
What is the opening of the given quadratic function?
(a)
f(x)=x2+5x−6
Determine the value of f(x) if x = 1.
(a)
What property of quadratic function that the arrow points to?
(a)
What property of quadratic function that the arrow points to?
(a)
Which of the following is the correct formula in determining the vertex of the quadratic function?
x=−2ab
x=−2ac
x=2ab
x=−2cb
f(x)=−2x2+8x−7
What is the opening of the given function?
(a)
f(x)=−2x2+8x−7
Determine the vertex of the given quadratic function.
(a)
f(x)=−2x2+8x−7
What is the domain of the given quadratic function?
all real values of x
all real values of y
depends on the opening
cannot be determined
f(x)=a(x−h)2+k
What is the vertex of the given quadratic function?
V(0,k)
V(h,0)
V(h,k)
V(k,h)
What is the green dot on the parabola called?
maximum
minumum
roots
zeros
Standard form of a quadratic equation
y=x²
y=ax²+bx+c
y=mx+b
y=x
Does this parabola have a minimum or maximum and what is its value?
minimum: 2
maximum: 2
minimum: 5
maximum: 5
A parabola is concave down when a is:
negative
positive
0
infinite
Given the equation y = 3(x + 5)2 - 4,
what is the vertex of the parabola?
(5, -4)
(-5, -4)
(-15, -4)
(15, -4)
Given the equation: y = -(x - 4)2 - 3,
does this parabola have a maximum or minimum value?
Maximum
Minimum
The axis of symmetry line passes through which point?
y-intercept
any random point
vertex
symmetrical point for the vertex
What is the equation of this graph?
f(x) = (x -5)2 + 1
f(x) = (x - 1)2 - 5
f(x) = (x + 1)2 - 5
f(x) = (x + 5)2 +1
A parabola has a vertex at (-3,2).
Where is the axis of symmetry?
y = -2
x = 3
x = -3
y = 2
What causes the graph of y = x2 to open downward?
multiply the x2 by a fraction
multiply the x2 by a decimal
multiply the x2 by a negative number
multiply the x2 by a number greater than 1
y=−3(x+5)2−4
Convert the equation from vertex form to standard form.
y = 9x2 - 15x + 21
y = -3x2 - 75x - 4
y = 9x2 + 90x + 221
y = -3x2 - 30x - 79
y=−5(x+2)2−10
Convert the equation from vertex form to standard form.
y = -5x2 - 20x - 30
y = -5x2 - 4x - 10
y = 25x2 + 100x + 90
y = 25x2 - 10x - 30
y=4(x+2)2−8
Convert the equation from vertex form to standard form.
y=4x2+16x+8
y=4x2+16x+16
y=16x2+64x−8
y=16x2+256x+8
What are the coordinates of the y-intercept of
y=2x2 −8x+3(0,3)
(3,0)
(0,2)
(0,-8)
(√5)(√10)
50
2√5
5√2
5√10
Which of the following is next to 12 , 15 ,18 ...?
A.19
B. 20
C. 21
D. 22
Describe the pattern in the sequence. Find the next three terms.
13, 15, 17, 19,...
Add 2; 23, 25, 27
Multiply by 2; 38, 76, 152
Add -2; 17, 15, 13
Add 2; 21, 23, 25
How many of these sequences have a common difference of -4?
-19, -15, -11, -7, -3,...
19, 15, 11, 7, 3...
3, 7, 11, 15, 19...
-3, 7, -11, 15, -19,...
0
1
2
3
In the sequence 1, 4, 7, 10, 13, what number is in the 4th term
4
7
10
13
Given the sequence 2, 9, ___, 23, 30,... what is the 3rd term?
10
12
14
16
in the sequence 700, 70, 7, 0.7, 0.07, what is the next term?
0.70
0.007
0.070
0.707
In the sequence 49, 44, 39, 34, 29, __, what are the next term after 29?
54 and 59
24 and 19
14 and 9
-24 and -19
Which of the following is the next term in the sequence O, T, T, F, F,.... ?
T
F
S
O
What is the 8th term in the sequence 3, 7, 11,...?
23
27
31
35
What is the next term in the sequence -15, -11, -7,...?
-2
-3
-4
-5
12.7, 19.2, 25.7, 32.2...
What is the 10th term of this Triangular Sequence: 1, 3, 6, 10, 15,...
55
45
66
78
What is the 20th term of the Sequence: 1, 4, 9, 16,...
200
400
40
450
. What is the next term in the sequence A , E , I , M …?
A. P
B. Q
C. U
D. V
In the sequence of letters A, A, C, D, E, G, G … What is the 13th letter?
A. M
B. S
C. V
D. L
It is a sequence wherein the terms are generated by adding a constant number called common difference.
Arithmetic Sequence
Fibonacci Sequence
Geometric Sequence
Harmonic Sequence
Which of the the following are examples of arithmetic sequence?
41,21,43,1
6,11,16,21,...
100,95,90,85,80,75
100,50,25, ...
Find the 34th term of the sequence
−37,−34,−31,...
(a)
What is the common difference of the arithmetic sequence 18,24,30,36, ...?
(a)
If the third term of an arithmetic sequence is 13 and the 9th term is 37, what is the common difference?
(a)
If the third term of an arithmetic sequence is 13 and the 9th term is 37, what is the first term?
(a)
If the third term of an arithmetic sequence is 13 and the 9th term is 37, what is the 53rd term?
(a)
It is the number to be added to generate the next term in an arithmetic sequence.
common difference
first term
last term
number of terms
The first three terms and the last term of a finite arithmetic sequence are - 92, - 88, - 84, ...,12.Find the number of terms in the sequence.
20
25
27
30
How many terms are there in the sequence 1, 4, 7, 10, ..., 682?
228
268
248
238
What is the common ratio of this sequence ? 5, 25, 125, ...
4
2
5
6
What is the 5th term of the sequence 7, 14, 28, ...?
72
48
56
112
Which of the following is a geometric sequence?
2, 4, 5, . . .
2, 6, 18, . . .
2, 4, 6, . . .
10, 20, 200, . . .
What is the common ratio of the geometric sequence -1, 6, -36, 216, ...?
-6
6
12
-4
Solving for the nth term of geometric sequence, given that a1 = 1 and r= 2, what is the value of the 4th term?
2
8
4
16
Solving for the nth term of geometric sequence, given that a1 = 4 and r= 6, what is the value of the 4th term?
144
864
124
764
What is the common ratio of the geometric sequence -2, -8, -32, -128, ...?
-4
4
-2
2
What is the 5th term of the geometric sequence -2, -8, -32, -128, ...?
-2048
-512
-256
-384
Find the sum of the first four terms of the geometric sequence that begins with 1 with a common ratio of 3.
25
37
40
80
Evaluate the sum of the geometric sequence 1 + 2 + 4 + 8..., n = 6
63
60
46
56
The reciprocal of Arithmetic Sequence
Arithmetic Mean
Geometric Sequence
Harmonic Sequence
Fibonacci Sequence
Which of the following is an example of a Harmonic Sequence?
1/2, 1/3, 1/5, 1/7
3/2, 3/4, 3/8, 3/16
5/10, 5/15, 5/20, 5/30
8/27, 8/20, 8/13, 8/6
Harmonic Sequence uses what operation?
addition
reciprocal
subtraction
multiplication
1/3, 1/5, 1/7, 1/9, ..., is an example of
harmonic sequence
geometric sequence
arithmetic sequence
fibonacci sequence
What is the next term of the harmonic sequence
2/49, 2/39, 2/29, ___
19/2
2/25
2/9
2/19
Find the 12th term of the harmonic sequence
1/3, 1/7, 1/11, 1/15, ...
1/39
1/43
1/47
1/51
3/2, 1/2, 3/10, 3/14.
Is this an example of Harmonic Sequence?
Yes
No
Harmonic Sequence is the reciprocal of Geometric Sequence
True
False
In the harmonic sequence 1/3, 1/7, 1/11, 1/15, ...
Which term is 1/99 ?
16
30
24
25
Which of the following sequence satisfy the numbers
-4, 1, -1/4, 1/16, ... ?
Arithmetic Sequence
Geometric Sequence
Harmonic Sequence
Fibonacci Sequence
Find the missing number in the Fibonacci Sequence:
89, 144, _____, 377, 610, 987, 1597
233
266
333
366
Which of the terms below may form a harmonic sequence?
3,5,7,9,...
21,41,81,161,...
31,61,91,121,...
2,4,8,16,...
The 9th term of the harmonic sequence
31,71,111,151,191,... is given by?
1/35
1/36
1/39
1/37
What do we call this sequence:
21,41,61,81,...
Fibonacci Sequence
Harmonic Sequence
Arithmetic Sequence
Geometric Sequence
What do we call this sequence:
1,1,2,3,5,8,... ?
Fibonacci Sequence
Harmonic Sequence
Square Number Sequence
Triangular Sequence
What is the next term of the harmonic sequence:
51,181,311,441, ... ?
57
571
157
None of the above
Given the Fibonacci sequence: 1, 1, 2, 3, 5, 8, 13, 21, ...
Evaluate the sum:
Fib (1) + Fib (2) + Fib (3) + Fib (4) =
5
6
7
8
Given the Fibonacci sequence: 1, 1, 2, 3, 5, 8, 13, 21, ...
Evaluate the sum:
Fib (1) + Fib (3) + Fib (5)
2
3
7
8
Insert 5 harmonic means between 1/6 and 1/12
1/8, 9, 1/10, 11, 12
1/7, 1/8, 1/9, 1/10, 1/11
7, 8, 9, 10, 11
1/2, 1/4, 1/17, 1/14, 1/3
