Add the following polynomials: (10y2 - 17y - 6) + (7y2 + 13y + 2)
17y2 - 4y + 4
17y2 - 4y + 4
17y2 + 4y - 8
17y2 + 4y - 4
The graph of y=x2 is the solid black graph below. Which function represents the dotted graph?
y= -(x)2+5
y = −(x−5)2
y = −(x)2−5
y = −(x+5)2
Express as a trinomial: (x+2)(2x+3)
3x2 + 3x + 5
2x2 +7x + 6
4x2 + 12
4x2 + 3x + 6
Which equation best matches the graph shown below?
y = −0.5(x + 3)2 −1
y = −0.5(x − 3)2 +1
y = −0.5(x + 3)2 +1
y = −0.5(x − 3)2 −1
Re-write the quadratic function below in Standard Form: y = 2(x−3)2+8
2x2 −6x -7
2x2 −12x +26
2x2 −12x +8
2x2 +8
Solve for all values of x by factoring: x2 −2x = 10x
x=0; x=17
x=0; x=−1
x=12
x=0; x=12
Use the Quadratic Formula to find the roots of the equation: x2 +12 = 4x
Find the product of the radicals below, in simplest form.
Simplify:
Rewrite:
Express in simplest form with a rational denominator:
Solve the following inequality for b. Write your answer in simplest form:
Find the solution of the system of equations:
8y - 9x = -3
5y - 8x= 10
(-6, -5)
(3, -5)
(5, -3)
(-5, -6)
Which point would NOT be a solution to the system of linear inequalities shown below?
(6,8)
(−4,9)
(−4,2)
(0,7)
Select all the pairs that represent alternate exterior angles.
Angle 2 & Angle 7
Angle 3 & Angles 8
Angle 1 & Angle 6
Angle 4 & Angle 5
Given m∥n, find the value of x.
x = 10
x = 34
x = 20
x = 17
Which transformation would take Figure A to Figure B?
A reflection over the y-axis
A clockwise rotation of 270∘ about the origin
A clockwise rotation of 90∘ about the origin
A reflection over the x-axis
For each pair of triangles, tell which conjectures, make the triangles congruent.
ASA
SAS
AAS
HL
SSS
Given L'M'N'P' is a dilation of LMNP, find the scale factor of dilation.
Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AD=4 and AC=12, what is the length of AB in simplest radical form? (Note: the figure is not drawn to scale.)
Find the length of x exactly.
2
7
In ΔQRS, the measure of ∠S=90°, QS = 48, RQ = 60, and SR = 36. What is the value of the sine of ∠R to the nearest hundredth?
50.18
53.13
2.55
There is not enough information to answer this question.
Which trigonometric ratio should you use to solve for "h"?
sine
tangent
cosine
In ΔFGH, the measure of ∠H=90°, the measure of ∠G=75°, and FG = 24 feet. Find the length of HF to the nearest tenth of a foot.
≈ 102.6 feet
≈ 89.6 feet
≈ 6.2 feet
≈ 23.2 feet
In ΔIJK, the measure of ∠K=90°, JK = 59 feet, and IJ = 89 feet. Find the measure of ∠I to the nearest tenth of a degree.
≈ 48.5∘
≈ 41.5∘
≈ 33.5∘
≈ 45.0∘
f(x) = 3x2 −9x +6; Find f(−2)
-59
45
21
5
Find the value of f(-7)
0
-5
-6
-8
Ayden is playing a board game. The probability that Ayden will lose a turn on his next turn is 0. Which word or phrase describes the probability that Ayden will lose a turn?
an equal chance or 50-50
impossible
unlikely
likely
Jayden recorded the grade-level and instrument of everyone in the middle school School of Rock below.
Based on these results, express the probability that a student chosen at random will play the bass as a fraction in simplest form.
What is the measure of angle M? (Note: Do not use units of measurement)