The function f ( x ) = A sin ⁡ ( B x ) + H f\left(x\right)=A\sin\left(Bx\right)\ +H f ( x ) = A sin ( B x ) + H has the following characteristics. Period of 10 min ⁡ 10\ \min 1 0 min Minimum value of 20 Maximum value of 32 Determine the Sine functions that models the data. Multiple Answers

f ( x ) = 6 sin ⁡ ( π 5 x ) + 26 f\left(x\right)\ =\ 6\sin\left(\frac{\pi}{5}x\right)+26 f ( x ) = 6 sin ( 5 π x ) + 2 6

f ( x ) = − 6 sin ⁡ ( π 5 x ) + 26 f\left(x\right)=\ -6\sin\left(\frac{\pi}{5}x\right)+26 f ( x ) = − 6 sin ( 5 π x ) + 2 6

f ( x ) = 6 sin ⁡ ( 10 x ) + 26 f\left(x\right)=\ 6\sin\left(10x\right)+26 f ( x ) = 6 sin ( 1 0 x ) + 2 6

f ( x ) = − 6 sin ⁡ ( 10 x ) + 26 f\left(x\right)=\ -6\sin\left(10x\right)+26 f ( x ) = − 6 sin ( 1 0 x ) + 2 6

A movie director from Paramount was told that a movie cannot differ from 130 minutes by more than 5 minutes. What absolute value INEQUALITY can be used to show all movie lengths that fit within the correct range? Assume W is weight in ounces.

∣ m − 130 ∣ ≤ 5 \left|m-130\right|\le5 ∣ m − 1 3 0 ∣ ≤ 5

∣ m − 130 ∣ < 5 \left|m-130\right|<5 ∣ m − 1 3 0 ∣ < 5

∣ m − 130 ∣ = 5 \left|m-130\right|=5 ∣ m − 1 3 0 ∣ = 5

∣ m + 130 ∣ ≥ 5 \left|m+130\right|\ge5 ∣ m + 1 3 0 ∣ ≥ 5

A movie director from Paramount was told that a movie cannot differ from 130 minutes by more than 5 minutes. What inequality statements can be used to show all of the movie lengths allowable by the restriction? Check all that apply

125 ≤ m ≤ 135 125\le m\le135 1 2 5 ≤ m ≤ 1 3 5

[ 125 , 135 ] \left[125,\ 135\right] [ 1 2 5 , 1 3 5 ]

125 < m < 135 125<m<135 1 2 5 < m < 1 3 5

( 125 , 135 ) \left(125,\ 135\right) ( 1 2 5 , 1 3 5 )

The function g(x) = 3|x-2| +4 can be written as a piecewise function. Which two Equations can be used to model g(x)?

3 x − 2 3x-2\ \ 3 x − 2 x ≥ 2 x\ge2 x ≥ 2

− 3 x + 10 -3x+10\ \ − 3 x + 1 0 x < 2 x<2 x < 2

− 3 x − 6 -3x\ -6\ \ \ − 3 x − 6 x ≥ 2 x\ge2 x ≥ 2

The function W(n)= 32-0.05n represents the volume of water Andrei uses (in liters) if he uses. W(n) represents the volume and n represents the number of liters What is the inverse and what is the meaning of the inverse equations

w − 1 ( n ) = − 20 n + 640 w^{-1}\left(n\right)=-20n+640 w − 1 ( n ) = − 2 0 n + 6 4 0 such that w − 1 ( n ) w^{-1}\left(n\right) w − 1 ( n ) is the number of liters and n represents the volume of water

w − 1 ( n ) = − 20 n + 640 w^{-1}\left(n\right)=-20n+640 w − 1 ( n ) = − 2 0 n + 6 4 0 such that w − 1 ( n ) w^{-1}\left(n\right) w − 1 ( n ) is the volume of the water and n is the number of liters

w − 1 ( n ) = − n + 640 w^{-1}\left(n\right)=-n+640 w − 1 ( n ) = − n + 6 4 0 such that w − 1 ( n ) w^{-1}\left(n\right) w − 1 ( n ) is the number of liters and n represents the volume of water

w − 1 ( n ) = − n + 640 w^{-1}\left(n\right)\ =-\ n+640\ w − 1 ( n ) = − n + 6 4 0 such that w − 1 ( n ) w^{-1}\left(n\right) w − 1 ( n ) is the volume of water and n is the number of liters

b ( t ) = 200 ( 1.02 ) t b\left(t\right)\ =\ 200\left(1.02\right)^{t\ } b ( t ) = 2 0 0 ( 1 . 0 2 ) t models the growth of a bacteria population where t represents the hours and b(t) represents the number of bacteria. Which equation models the growth of the bacteria after any given amount of days?

b ( d ) = 200 ( 1.608 ) d b\left(d\right)=200\left(1.608\right)^d b ( d ) = 2 0 0 ( 1 . 6 0 8 ) d

b ( t ) = 200 ( 1.02 ) 24 t b\left(t\right)=200\left(1.02\right)^{24t} b ( t ) = 2 0 0 ( 1 . 0 2 ) 2 4 t

b ( t ) = 200 ( 1.02 ) 1 24 t b\left(t\right)=200\left(1.02\right)^{\frac{1}{24}t} b ( t ) = 2 0 0 ( 1 . 0 2 ) 2 4 1 t

b ( d ) = 200 ( 1.0008 ) d b\left(d\right)=200\left(1.0008\right)^d b ( d ) = 2 0 0 ( 1 . 0 0 0 8 ) d

Given the following graph which of the following statements is true. Check all that apply.

The lowest possible degree polynomial that can be used to model the graph is a 6th degree polynomial

There are three real zeros and zero complex/imaginary zeros

The graph has two relative minimums (-2,0) and approximately (0.75,-38)

The x-intercept x=3 has a multiplicity of 3, the x-intercept of x =-1 has a multiplicity of one, the x-intercept of x=-2 has a multiplicity of one.

Math 3 EOC Review 2

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Mathematics

10th - 12th Grade

CCSS covered

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25 questions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Given the funtions $g\left(x\right)=\frac{2x+4}{x^2-6x}$ and $h\left(x\right)=\ \frac{x^2-36}{4x+8}$ , what is the result when $h\left(x\right)\cdot g\left(x\right)$ ?

$\frac{2x}{x+6}$

$\frac{x+6}{2x}$

$\frac{x+3}{x}$

$\frac{x}{x+3}$

Tags

CCSS.HSA.APR.D.7

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Given $r\left(x\right)=\frac{x^2-16}{x^2-10x+25}$ and $t\left(x\right)=\frac{3x-12}{x^2-3x-10}$ , What is the result for $\frac{r\left(x\right)}{t\left(x\right)}?$

$\frac{3x-15}{x^2+6x+8}$

$\frac{x^2+6x+8}{3x-15}$

$\frac{\left(x+4\right)\left(x-2\right)}{3x-15}$

$\frac{\left(x^2-6x-8\right)}{3x-15}$

Tags

CCSS.HSA.APR.D.6

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Given $g\left(x\right)=\frac{\left(4x+13\right)}{x-3}\$ and $h\left(x\right)=\ \frac{x+2}{2x+6}$ what is the value of A, B,and C if $g\left(x\right)\ +h\left(x\right)=\frac{Ax^2+Bx\ +C}{2\left(x+3\right)\left(x-3\right)}$

A = 9, B = 49, C = 72

A = 9, B = -49, C = -72

A = -9, B = 49, -72

A = -9, B =-49 C= 72

Tags

CCSS.HSA.APR.D.7

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Working together Sam, Genna, and Fran can paint a mow a yard in 2 hours. Sam can mow the yard is 7 hours. Genna can mow the yard in 9 hours. How long does it take Fran to to mow the lawn?

3 hours

3.5 hours

4 hours

4.5 hours

Tags

CCSS.HSA.CED.A.1

MULTIPLE SELECT QUESTION

30 sec • 1 pt

The function $f\left(x\right)=A\sin\left(Bx\right)\ +H$ has the following characteristics.

Period of $10\ \min$

Minimum value of 20
Maximum value of 32

Determine the Sine functions that models the data. Multiple Answers

$f\left(x\right)\ =\ 6\sin\left(\frac{\pi}{5}x\right)+26$

$f\left(x\right)=\ -6\sin\left(\frac{\pi}{5}x\right)+26$

$f\left(x\right)=\ 6\sin\left(10x\right)+26$

$f\left(x\right)=\ -6\sin\left(10x\right)+26$

Tags

CCSS.HSF.IF.C.7

CCSS.HSF.TF.B.5

MULTIPLE SELECT QUESTION

30 sec • 1 pt

Given the cosine equation
$f\left(x\right)\ =\ 2\ \cos\left(\pi x\right)\ -8\$ Check all the statements that are true

The midline is 8

The period is $\pi$

The amplitude is 2

The period is 2

The midline is 2

Tags

CCSS.HSF-IF.C.7E

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The points (2,16) and (8,30) are the end points of a diameter. What is the equation of the circle that intercepts these points?

Video Help
Youtube: MattdoesMath
Video: Determine the Equation of a Circle given Two Endpoints

$\left(x-5\right)^2+\left(y-23\right)^2=\ 58$

$\left(x+5\right)^2+\left(y+23\right)^2=58$

$\left(x-2\right)^2+\left(y-16\right)^2=30$

$\left(x-5\right)^2+\left(y-23\right)^2=7.6$

Tags

CCSS.HSG.GPE.A.1

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The volume of a sphere is $288\pi\ in^3$ . Find the radius of the sphere.

r = 4in

r = 5in

r = 6in

r = 7in

Tags

CCSS.8.EE.A.2

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Math 3 EOC Review 2

Given the funtions $g\left(x\right)=\frac{2x+4}{x^2-6x}$ and $h\left(x\right)=\ \frac{x^2-36}{4x+8}$ , what is the result when $h\left(x\right)\cdot g\left(x\right)$ ?

Given $r\left(x\right)=\frac{x^2-16}{x^2-10x+25}$ and $t\left(x\right)=\frac{3x-12}{x^2-3x-10}$ , What is the result for $\frac{r\left(x\right)}{t\left(x\right)}?$

Given $g\left(x\right)=\frac{\left(4x+13\right)}{x-3}\$ and $h\left(x\right)=\ \frac{x+2}{2x+6}$ what is the value of A, B,and C if $g\left(x\right)\ +h\left(x\right)=\frac{Ax^2+Bx\ +C}{2\left(x+3\right)\left(x-3\right)}$

Working together Sam, Genna, and Fran can paint a mow a yard in 2 hours. Sam can mow the yard is 7 hours. Genna can mow the yard in 9 hours. How long does it take Fran to to mow the lawn?

The function $f\left(x\right)=A\sin\left(Bx\right)\ +H$ has the following characteristics.

Period of $10\ \min$

Minimum value of 20
Maximum value of 32

Determine the Sine functions that models the data. Multiple Answers

Given the cosine equation
$f\left(x\right)\ =\ 2\ \cos\left(\pi x\right)\ -8\$ Check all the statements that are true

The points (2,16) and (8,30) are the end points of a diameter. What is the equation of the circle that intercepts these points?

Video Help
Youtube: MattdoesMath
Video: Determine the Equation of a Circle given Two Endpoints

The volume of a sphere is $288\pi\ in^3$ . Find the radius of the sphere.

Select the 2D object that can be rotated to form the 3D object shown.

A 16cm x 30cm sheet of rectangular cardboard is folded such that an open topic box is created. What are the dimensions that maximize the volume?

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Discover more resources for Mathematics

Math 3 EOC Review 2

Given the funtions g(x)=2x+4x2−6xg\left(x\right)=\frac{2x+4}{x^2-6x}g(x)=x2−6x2x+4​ and h(x)= x2−364x+8h\left(x\right)=\ \frac{x^2-36}{4x+8}h(x)= 4x+8x2−36​ , what is the result when h(x)⋅g(x)h\left(x\right)\cdot g\left(x\right)h(x)⋅g(x) ?

Given r(x)=x2−16x2−10x+25r\left(x\right)=\frac{x^2-16}{x^2-10x+25}r(x)=x2−10x+25x2−16​ and t(x)=3x−12x2−3x−10t\left(x\right)=\frac{3x-12}{x^2-3x-10}t(x)=x2−3x−103x−12​ , What is the result for r(x)t(x)?\frac{r\left(x\right)}{t\left(x\right)}?t(x)r(x)​?

Working together Sam, Genna, and Fran can paint a mow a yard in 2 hours. Sam can mow the yard is 7 hours. Genna can mow the yard in 9 hours. How long does it take Fran to to mow the lawn?

The function f(x)=Asin⁡(Bx) +Hf\left(x\right)=A\sin\left(Bx\right)\ +Hf(x)=Asin(Bx) +H has the following characteristics. Period of 10 min⁡10\ \min10 min Minimum value of 20Maximum value of 32Determine the Sine functions that models the data. Multiple Answers

Given the cosine equation f(x) = 2 cos⁡(πx) −8 f\left(x\right)\ =\ 2\ \cos\left(\pi x\right)\ -8\ f(x) = 2 cos(πx) −8 Check all the statements that are true

The points (2,16) and (8,30) are the end points of a diameter. What is the equation of the circle that intercepts these points?Video HelpYoutube: MattdoesMathVideo: Determine the Equation of a Circle given Two Endpoints

The volume of a sphere is 288π in3288\pi\ in^3288π in3 . Find the radius of the sphere.

Select the 2D object that can be rotated to form the 3D object shown.

A 16cm x 30cm sheet of rectangular cardboard is folded such that an open topic box is created. What are the dimensions that maximize the volume?

Access all questions and much more by creating a free account

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Popular Resources on Wayground

Discover more resources for Mathematics

Given the funtions $g\left(x\right)=\frac{2x+4}{x^2-6x}$ and $h\left(x\right)=\ \frac{x^2-36}{4x+8}$ , what is the result when $h\left(x\right)\cdot g\left(x\right)$ ?

Given $r\left(x\right)=\frac{x^2-16}{x^2-10x+25}$ and $t\left(x\right)=\frac{3x-12}{x^2-3x-10}$ , What is the result for $\frac{r\left(x\right)}{t\left(x\right)}?$

The function $f\left(x\right)=A\sin\left(Bx\right)\ +H$ has the following characteristics.

Period of $10\ \min$

Minimum value of 20
Maximum value of 32

Determine the Sine functions that models the data. Multiple Answers

Given the cosine equation
$f\left(x\right)\ =\ 2\ \cos\left(\pi x\right)\ -8\$ Check all the statements that are true

The points (2,16) and (8,30) are the end points of a diameter. What is the equation of the circle that intercepts these points?

Video Help
Youtube: MattdoesMath
Video: Determine the Equation of a Circle given Two Endpoints

The volume of a sphere is $288\pi\ in^3$ . Find the radius of the sphere.