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WorksheetsMOCK UP BRAINQUEST 2
Total questions: 168
Worksheet time: 3hrs 48mins
Which of the following set of numbers is an example of a sequence?
answer choices
{ 1, 2, 3, 4, 5 }
{ 2, 4, 8, 16, 31 }
{ 1, 4, 9, 16, 27 }
{ 1, 1, 2, 4, 6 }
Which of the following is the complete factored form of P(x)=x3−2x2−13x−10?
P(x)=(x+2)(x−5)(x+1)
P(x)=(x−2)(x+5)(x−1)
P(x)=(x+2)(x+5)(x+1)
P(x)=(x−2)(x−5)(x−1)
Which of the following is the complete factored form of P(x)=2x3−5x2−3x?
P(x)=x(2x+1)(x−3)
P(x)=x(2x−1)(x+3)
P(x)=x(2x+1)(x+3)
P(x)=x(2x−1)(x−3)
Which of the following is the complete factored form of P(x)=3x3−8x2+3x+2?
P(x)=(x−1)(x−2)(3x+1)
P(x)=(x+1)(x−2)(3x+1)
P(x)=(x−1)(x+2)(3x−1)
P(x)=(x+1)(x+2)(3x−1)
Which of the following is the complete factored form of P(x)=x5−7x3−2x2+12x+8?
P(x)=(x+1)2(x−2)2(x+2)
P(x)=(x−1)2(x−2)2(x+2)
P(x)=(x+1)2(x+2)2(x−2)
P(x)=(x+1)(x−2)2(x+2)2
Which of the following is a polynomial?
4x5−3x4+2x3−x2+ x + 2x21+ 6
6x3+2x2+ 5 + 3x−2
32x5−x2 + 22
5x7+3x6−4x− 7
If the side of a square is (3x + 4y - z) cm, what is its area?
(9x2 + 16y2+ z2)cm2
(9x2+ 16y2+ z2 +6x + 8y − 2z) cm2
(9x2+ 16y2−z2+24xy − 8yz − 6xz)cm2
(9x2+16y2+z2+ 24xy − 8yz−6xz)cm2
If the sum of (3x5 - 6x2 + 8x + 5) and (3x4 + 7x3 - 7x2 - 9x + 12) is subtracted from (3x5 + 8x4 - 8x + 15), the difference is...
5x4+7x3 − 13x2 − 9x + 32
5x4+ 7x3 − 13x2 − 7x − 2
5x4−7x3+13x2−7x − 2
5x4− 7x3 + 13x2 − 9x + 32
What expression must be subtracted from 3x4 - 2x3 + 6x2 + 8x - 5 to get x4 + 6x3 - x2 + 16x - 12?
2x4 − 6x3 + 10x2 + 8x − 7
2x4 − 8x3 + 7x2 − 8x + 7
2x4 + 6x3 + 13x2 + 16x − 12
2x4 + 6x3 − x2 + 16x − 12
Find the surface area of a box whose side is (x + y + 7) cm.
(6x2 + 6y2+ 294)cm2
(6x2 + 6y2 + 6xy + 42x + 42 y + 294)cm2
(6x2 + 6y2+12xy + 84 x + 84 y + 294)cm2
(x2 + y2+ 2xy + 14x + 14y + 49)cm2
a, b, and c for
the quadratic equation:
4x2 – 8x = 3
p(x) be a polynomial such that
p(x) = g(x). q(x) +r(x) .Degree of p(x) =
Degree of g(x).degree of q(x)
Degree of r(x) +degree of g(x)
Degree of q(x) + degree of r(x)
Degree of g(x) + degree of q(x)
let p(x) = g(x)q(x) +r(x). If degree of p(x) is 6 and degree of g(x) is 3 degree of r(x) is 1then degree of q(x) is
1
2
3
4
let p(x) = g(x)q(x) +r(x). If g(x) is factor of p(x) then degree of r(x) is
2
1
0
r(x) is a zero polynomial
let p(x) = g(x)q(x) +r(x). If degree of p(x) is 7 and degree of degree of r(x) is 2 then degree of g(x) cannot be
5
4
3
2
let p(x) = g(x)q(x) +r(x). If degree of p(x) is 6, g(x) =4x-3 then the degree of r(x) is
less than 4
less than 3
less than 2
less than 1
In division algorithm when should one stop the division process?
When the remainder is zero.
When the degree of the divisor is less than the degree of the remainder.
When the degree of the quotient is less than the degree of the divisor.
When the degree of the remainder is less than the degree of the divisor.
x²+4x-8
A store sells t-shirts for $12 each and sweatshirts for $15 each. You plan to spend $120 on t-shirts and sweatshirts.
Find all the solutions for the following Polynomial:
x3−5x2+8x−4
x=1, x=2, x=2
x=−1, x=−2, x=−2
x=1, x=2, x=3
x=1, x=3, x=−2
Find all the solutions for the following polynomial:
x3+2x2−5x−6
x=1, x=5, x=2
x=−1, x=2, x=−3
x=2, x=4, x=6
x=1, x=4, x=−3
Find all of the solutions for the following polynomial:
x3−5x2−2x+24
x=−1, x=−2, x=3
x=−2, x=3, x=4
x=1, x=3, x=5
x=−2, x=−4, x=−6
Find all the solutions for the following polynomial:
x3−x2−21x+45
x=−3, x=−2, x=−5
x=−1, x=2, x=4
x=2, x=4, x=−6
x=3, x=3, x=−5
f(x) = x3 + 2x2 - 6x + 8
f(x) = 3x3 + 2x2 - 6x + 7
f(x) = 2x3 + 5x2 - 9x + 5
2x3 - 11x2 + 12x + 9 = 0
x3 - 7x - 6 = 0
(5p2+5p-26)÷(p+3)
5p-10, R 4
5p-12, R 1
5p-13, R 8
5p-10, R 5
3x3 + 5x - 1 ÷ x + 1
3x3 - 3x2 + 8x - 9
3x2 - 3x + 8 - 9/x+1
3x2 + 3x + 8 + 7/x+1
3x3 + 3x2 + 8x + 7
Which?
Solve the following equation. x4 + 4x3 + 3x2 = 0
x = 0, x = 3, x = 1
x = -3, x = -1
x = 3, x = 1
x = 0, x = -3, x = -1
(2x - 1)(x + 4) = 0
What are the solutions? (Hint Factor and solve)
x=0, x=-2 and x=7
x=2 and x=7
x=-2 and x=7
x=0 and x=3 and x= 42
How many root/s does the polynomial equation have?
x4-3x2+10=0
1
2
3
4
How many solution/s does the polynomial equation have?
5x3-10x2+8x+1=0
1
2
3
4
Write a polynomial equation of least degree that has a leading coefficient of 1 and zeros at 1, 4, and -2.
(x-1)(x-4)(x+2)=0
(x+1)(x+4)(x-2)=0
x3+3x2+6x+8=0
x3-3x2-6x+8=0
Which of the following is a COMPLETE list of all possible roots?
x3+5x2−9x+5=0
1 and 5
-1 and -5
1, -1, 5, and -5
1, -1, 5, -5, 1/5, and -1/5
Is (x+5) a factor of x3+2x2-x+4=0?
YES
NO
Solve: x2+7x+6=0
{-6, -1}
{2, -3}
{6, 1}
{-2, 3}
State the leading term of the polynomial, 6x5+9x4+2x3+3x2-4x-6=0.
6
x5
6x5
9x4
Solve the equation. x4+4x3+3x2=0
{0, 3, 1}
{3, 1}
{-3, -1}
{0, -3, -1}
Below are four possible zeros for this polynomial.
x3+2x2-11x-12=0
Figure out which one works.
-3
-4
1
6
Solve for the value of x:
(2x+5)(5x-2)=0
{5/2, -2/5}
{-5/2, -2/5}
{-5/2, 2/5}
{5/2, 2/5}
Which equation matches these solutions?
x = 5, -7
x2-2x-35=0
x2+12x+35=0
x2+12x-35=0
x2+2x-35=0
Solve x4-256=0
{4, 4i}
{4, -4}
{4, -4, 4i}
{4, -4, 4i, -4i}
Find all the root/s for the polynomial equation x3-3x2-5x+15=0.
{3, 5}
{−3, ±5}
{3, ±5}
{3, ±5i}
Factor then solve.
x2-9x+20=0
(x-4)(x-5)=0 ; x = 4, 5
(x-4)(x+5)=0 ; x = 4, -5
(x-10)(x-2)=0 ; x = 10, 2
(x-10)(x+2)=0 ; x = 10, -2
Solve: -6x-1+5x2=8x2
x=5±667
x=1±22
x=1, 72
x=3−3±6
Factor: x3+1
(x+1)3
(x+1)((x2-x+1)
(x-1)(x2+x-1)
(x+1)(x2-2x+1)
Solve for x:
x3+9x2+20x=0
{0, -4, -5}
{0, -2, -5}
{0, -4, -3}
{0, -4, -6}
Find the real or imaginary solutions to x4=13x2-36.
x=±3, ±2
x=9, 4
x=±9, ±4
x=9, 4, 3, 2
Solve x3+5x2-6x-30=0.
{5, ±6}
{−5±6}
{−5±6}
{−5, ±6}
Solve: x4+2x3-8x-16=0
x=±2, ±3
{±2, −1±3}
x=±2, ±3i
{±2, −1±i3}
f(x) = 2x3 - 3x2 + 4x -10
What is the degree of f(x)?
3
2
1
0
f(x) = 2x3 - 3x2 + 4x -10
State the maximum number of turns the graph of f(x) could make.
3
2
1
0
f(x) = 2x3 - 3x2 + 4x -10
State the maximum and minimum number of zeros for f(x).
Max: 3 Min: 0
Max 2 Min: 0
Max: 1 Min: 1
Max: 3 Min: 1
f(x) = -3x4 + x3 - 2x2 + x - 1
What is the degree of f(x)?
3
1
4
2
P(x)=3x4-7x2-2x7-x+4?
f(x) = 5x4-8x3+4x2-6x+3 have?
-3x4-3x2+5
It is a number, a product and/or quotient of numbers and variables which are separated by a plus or minus sign.
expression
term
mathematical sentence
It is an algebraic expression that contains three terms.
monomial
binomial
trinomial
Determine how many term of polynomial has in the given:
(x - 2)(x - 4)2
3
4
1
Given:
f(x)=5x3+2x−11
It is a polynomial function.
It is not a polynomial function
Determine the classification of the given polynomial.
f(x)=2x2+x−1
constant
quartic function
quadratic function
linear function
Determine the degree of the given polynomial:
f(x)=3x0
0
1
2
3
Determine the degree of the given polynomial:
f(x)=7x5+2x6−x7+3x3+4x2+14
3
5
6
7
Given:
2x−3
It is a polynomial.
It is not a polynomial.
Given:
(x2−7)
It is a polynomial.
It is not a polynomial.
Given:
f(x)=2x+5
It is a polynomial function.
It is not a polynomial function.
3) Degree of
5a4+7a2−3a9+10 is ____2
4
9
10
4) Degree of
xy+x2y−xy−z+xyz is __________1
2
3
4
5) Degree of
p2qr−pqr+pr3q is__________2
3
4
5
7) Degree of 10 is ______
10
1
0
Undefined
9) Degree of a Quadratic polynomial is _______
1
2
3
0
10) Degree of
(x2+2)(y3−5) is _____2
3
4
5
7x5 - 9x2 + 6x
9x5 + 15x3 + 2x2
-3x + 1
x3 - 2x2 + 4x + 15
9x5 + 2x4 - x3 + 9x2 - 2
f(x) = -2x2 + 4x - 7
f(x) = -x3 + 7x
f(x) = 8x5 - 9x4 + 7x2
Which ones are polynomials? (You may select more than one.)
Fill in the blank. The __________ is the highest exponent of a variable when a polynomial is in standard form.
coefficient
degree
monomial
term
Fill in the blank. The ________ is the number in front of the highest exponent of a variable in standard form.
degree
variable
exponent
leading coefficient
What is the degree of this polynomial?
5
2
-1
What is the leading coefficient of this polynomial?
5
2
-1
Combine like terms (to put the polynomial in standard form).
2x2 + 6x
x2 + 8x
2x4 + 6x
3x2 + 6x
What is the leading coefficient of this polynomial? REMEMBER: The polynomial must be in STANDARD FORM.
1
2
3
6
Combine like terms (to put the polynomial in standard form).
–8x3 + 4x2 + x
–2x3 + 4x2 + x
2x3 + 4x2 + x
–3x3 + 4x2 + x
What is the leading coefficient of this polynomial? REMEMBER: The polynomial must be in STANDARD FORM.
–2
–3
4
1
What is the leading coefficient of the polynomial? REMEMBER: The polynomial must be in STANDARD FORM.
1
2
3
4
What is the degree of this polynomial? REMEMBER: The polynomial must be in STANDARD FORM.
1
2
5
6
What is the degree of this polynomial? REMEMBER: The polynomial must be in STANDARD FORM.
10
9
7
2
What is the leading coefficient of this polynomial? REMEMBER: The polynomial must be in STANDARD FORM.
-5
7
9
10
What is the degree of this polynomial? REMEMBER: The polynomial must be in STANDARD FORM.
4
7
12
2
What is the degree of this polynomial? REMEMBER: The polynomial must be in STANDARD FORM.
1
3
10
6
What is the degree of this polynomial? REMEMBER: The polynomial must be in STANDARD FORM.
3
9
6
12
What is the quotient of this polynomial if you divide it by (p+2)?
(p - 5)
(p + 8)
(p + 7)
(p + 5)
is classified as a...
8 + 5t2 - 3t + t3
8 + 5t2 - 3t + t3
x4 + 6x3 + 6x2 + 5x + 4 ÷ x − 5 Perform the following divisions using Synthetic Division. Show your Solution in a paper and send your answer. ( 5pts)
2x2 + 13 x − 8 ÷x + 2 Perform the following divisions using Long Division . Show your Solution in a paper and send after the test. (5pts)
What does the line segment on the circle represent?
the radius
the diameter
the circumference
What does the line segment on the circle represent?
the radius
the diameter
the circumference
What is the length around a circle called?
the radius
the diameter
the circumference
What does the line segment on the circle represent?
the radius
the diameter
the circumference
What is a segment with its endpoints on the circle that passes through the center called?
the radius
the diameter
the circumference
What is a line segment from the center of a circle to any point on the circle?
the radius
the diameter
the circumference
What does this symbol represent?
circle
pi
radius
What is HA?
Point of Tangency
Radius
Circle
Tangent
What is BJ?
Secant
Radius
Chord
Tangent
What is arc HCG?
major arc
Radius
semicircle
minor arc
If the radius is 4, the diameter is
2
4
8
π
The radius is twice the diameter.
Yes it is!!!
No it's not!!
Find the measure of arc QS.
47
55
125
180
Find the measure of arc RQT.
47
67
240
227
Find the measure of arc HG.
23
67
125
155
Find the measure of arc FEH.
125
155
203
240
Find the measure of arc IK.
125
150
155
200
Find the measure of arc JIL.
150
203
227
240
Find the measure of arc FB.
155
200
215
240
In a circle or congruent circles , congruent central angles have congruent___
center
arcs
chord
segment
in a circle or congruent circles, congruent ___ have congruent arcs.
segment
chords
arcs
center
The measure of an arc formed by two___ arcs is the sum of the measure of the two arcs.
semi-circle
congruent
adjacent
opposite
In a circle or congruent circle, congruent arcs have congruent ____
chords
angles
centers
segments
In a circle, if the ______ is perpendicular to a chord, then it bisects the chord and its arc.
line
segment
radius
chord
In ʘA, TP is a diameter. What is the measure of TÔ if m∠OAP = 65o?
65°
115o
130o
230o
Find the degree measure of the arc of the sector whose area is 8π of a circle and whose radius is 6cm.
80o
90o
180o
360o
Given ⨀O with diameter CD̅̅̅̅. AB̅̅̅̅ ∥ CD̅̅̅̅ and m AB̂ = 80°. Find CA
50o
55o
60o
65o
Which of the following statements is NOT true about an inscribed angle?
An angle inscribed in a semicircle is an obtuse angle.
The measure of an inscribed angle is equal to one-half the measure of its intercepted arc.
If two inscribed angles intercept at the same arc or congruent arcs, then the angles are congruent.
An inscribed angle is an angle whose vertex lies on the circle and whose sides contain chords of the circle.
Find the value of x
10
23
83
181
What is the intercepted arc of ∠HKG ?
Arc IH
Arc FG
Arc KJ
Arc HG
In circle K, What is the m∠HKF?
102°
100°
104°
110°
What is the m∠IKH?
70°
78°
80°
90°
What is the angle intercepted by Arc JF?
∠GKF
∠JKI
∠JGF
∠JKF
What is the measure of Arc HI?
30°
40°
55°
70°
What is m∠QCL?
10°
15°
30°
45°
What is m∠7?
15°
30°
45°
60°
What is m∠HKG+m∠IKH ?
100°
102°
104°
130°
What is the measure of Arc HI + Arc IJ + Arc JK?
100°
110°
140°
180°
The measure of an arc formed by two adjacent and not overlapping arcs is equal to the sum of the measures of these two arcs
minor arc
Intercepted arc
major arc
semi-cirlce
