The graph of the function m(x)=x 3 +3x 2 -2x-4 has a zero at -1. What are the other zeros of the function?

− 1 ± 5 -1\pm\sqrt{5} − 1 ± 5 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

1 ± 2 3 1\pm2\sqrt{3} 1 ± 2 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

If f(x)=k(x-2) 4 , where k is positive, what is the effect on the graph of f(x) as k increases?

The graph of f(x) is stretched vertically.

The graph of f(x) is shifted up.

The graph of f(x) is shifted down.

The graph of f(x) is stretched horizontally.

Which function does not have the set of all real numbers as its domain?

f ( x ) = x + 1 x + 3 f\left(x\right)=\frac{x+1}{x+3} f ( x ) = x + 3 x + 1

A function, f(x)=Asin(Bx)+H, has the following properties: -a period of 6, -a minimum value of 2, -f(2.5)=5, and -A, B, and H are all positive constants. Which values of A, B, and H make the equation true.

A = 2 , B = π 3 , C = 4 A=2,\ B=\frac{\pi}{3},\ C=4 A = 2 , B = 3 π , C = 4

A = 2 , B = π 2 , C = 4 A=2,\ B=\frac{\pi}{2},\ C=4 A = 2 , B = 2 π , C = 4

A = 4 , B = π 4 , C = 8 A=4,\ B=\frac{\pi}{4},\ C=8 A = 4 , B = 4 π , C = 8

A = 5 , B = π 6 , C = 6 A=5,\ B=\frac{\pi}{6},\ C=6 A = 5 , B = 6 π , C = 6

The vertices of a triangle are at (0,0), (6,6), and (9,3). What is the volume, in cubic units, of figure created by rotating the triangle about y=x?

36 π 2 36\pi\sqrt{2} 3 6 π 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

54 2 54\sqrt{2} 5 4 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

324 2 324\sqrt{2} 3 2 4 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

108 π 2 108\pi\sqrt{2} 1 0 8 π 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

Which method is most likely to produce a random sample of 5 students from school club?

selecting 5 club members from a hat containing the names of all members

selecting 5 club members who have brown hair

selecting the 5 club members who have raised the most funds for the club

selecting the 5 club members who arrive last to a club meeting

A high school randomly selected 75 of the 200 seniors at the school to take a sample college entrance exam. The mean grade point average (GPA) of the seniors selected was 2.85, and the standard deviation was 0.4. Select all of the statements that are true. (Note: Marin of error ≈ 2 n \approx\frac{2}{\sqrt{n}} ≈ n <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> 2 , where s is the standard deviation and n is the sample size.)

The margin of error would decrease if the sample size were changed to 125 seniors

The margin of error for the mean grade point average is about 0.092

The margin of error for the mean grade point average is about 0.057

The margin of error would increase if the sample size were changed to 125 seniors

The police chief of a town is trying to determine the average speed of drivers on a specific road. -The police chief took a random sample of the speeds of 100 drivers on the road. -The mean was 48.5 miles per hour, with a standard deviation of 2.5 miles per hour. -The police chief wanted to decrease the margin of error of his next sample. Which choice would decrease the margin of error? (Note: margin of error ≈ 2 n \approx\frac{2}{\sqrt{n}} ≈ n <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> 2 where s is the sample standard deviation and n is the sample size.)

changing the time that the data is collected

changing the road on which the data is collected

Math 3 EOC Review

Authored by Alison Slate

10th - 11th Grade

CCSS covered

Used 198+ times

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MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What is the remainder when x³-1 divided by (x+2)?

-9

-7

The function below, f(x), has (x-7) and (x+4i) as factors.
f(x)=2x⁵-13x⁴+22x³-187x²-160x+336
What is the total number of real zeros of f(x)?

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

The graph of the function m(x)=x³+3x²-2x-4 has a zero at -1. What are the other zeros of the function?

-2 and 2

-1 and 4

$-1\pm\sqrt{5}$

$1\pm2\sqrt{3}$

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Which expression is equivalent to (x²-2x-37)/(x²-3x-40)?

$1+\frac{x+3}{x^2-3x-40}$

$1-\frac{x+3}{x^2-3x-40}$

$1+\frac{2x-37}{x^2-3x-40}$

$1-\frac{2x-37}{x^2-3x-40}$

Find the values of A, B, and C that will make the equation shown below true.
$\frac{3x-5}{4x+3}+\frac{-2x+1}{7x-2}=\frac{Ax^2+Bx+C}{\left(4x+3\right)\left(7x-2\right)}$

A=12, B=-31, C=-7

A=29, B=-51, C=16

A=16, B=-33, C=-3

A=13, B=-43, C=13

Which expression is equivalent to $\frac{\left(x^2-5x+6\right)^{-1}}{\left(x-2\right)^{-2}}\div\frac{\left(x-3\right)^{-1}}{\left(x-2\right)^{-2}}?$

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

$\frac{\left(x+2\right)^3}{\left(x+3\right)^2}$

$\frac{1}{x-3}$

$\frac{1}{x-2}$

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

A company makes and boxes spaghetti.
-One machine fills each box with approximately 32 ounces of spaghetti.
-After the boxes are filled, another machine weighs each box.
-A box is discarded if the weight of the box differs by more than 0.25 ounce from the target weight of 32 ounces.
Which inequality can be used to find the range of acceptable weights, x, of the spaghetti?

|x-0.25|<32

|x+0.25|<32

|x-32|<0.25

|x+32|<0.25

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Math 3 EOC Review

What is the remainder when x³-1 divided by (x+2)?

The function below, f(x), has (x-7) and (x+4i) as factors.
f(x)=2x⁵-13x⁴+22x³-187x²-160x+336
What is the total number of real zeros of f(x)?

The graph of the function m(x)=x³+3x²-2x-4 has a zero at -1. What are the other zeros of the function?

Which expression is equivalent to (x²-2x-37)/(x²-3x-40)?

Find the values of A, B, and C that will make the equation shown below true.
$\frac{3x-5}{4x+3}+\frac{-2x+1}{7x-2}=\frac{Ax^2+Bx+C}{\left(4x+3\right)\left(7x-2\right)}$

Which expression is equivalent to $\frac{\left(x^2-5x+6\right)^{-1}}{\left(x-2\right)^{-2}}\div\frac{\left(x-3\right)^{-1}}{\left(x-2\right)^{-2}}?$

The graph of an equation is shown.

Mrs. Slate can paint a room in 2 hours. Jamie can paint the same room in 6 hours. How long, to the nearest tenth of an hour, will it take them to paint the room together?

Two functions are shown below.
f(x)=2x³+2x-3
g(x)=-0.5|x-4|
What is the y-value when f(x)=g(x)?

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Math 3 EOC Review

What is the remainder when x3-1 divided by (x+2)?

The function below, f(x), has (x-7) and (x+4i) as factors.f(x)=2x5-13x4+22x3-187x2-160x+336What is the total number of real zeros of f(x)?

The graph of the function m(x)=x3+3x2-2x-4 has a zero at -1. What are the other zeros of the function?

Which expression is equivalent to (x2-2x-37)/(x2-3x-40)?

Find the values of A, B, and C that will make the equation shown below true. 3x−54x+3+−2x+17x−2=Ax2+Bx+C(4x+3)(7x−2)\frac{3x-5}{4x+3}+\frac{-2x+1}{7x-2}=\frac{Ax^2+Bx+C}{\left(4x+3\right)\left(7x-2\right)}4x+33x−5​+7x−2−2x+1​=(4x+3)(7x−2)Ax2+Bx+C​

Which expression is equivalent to (x2−5x+6)−1(x−2)−2÷(x−3)−1(x−2)−2?\frac{\left(x^2-5x+6\right)^{-1}}{\left(x-2\right)^{-2}}\div\frac{\left(x-3\right)^{-1}}{\left(x-2\right)^{-2}}?(x−2)−2(x2−5x+6)−1​÷(x−2)−2(x−3)−1​?

The graph of an equation is shown.

Mrs. Slate can paint a room in 2 hours. Jamie can paint the same room in 6 hours. How long, to the nearest tenth of an hour, will it take them to paint the room together?

Two functions are shown below.f(x)=2x3+2x-3g(x)=-0.5|x-4|What is the y-value when f(x)=g(x)?

Access all questions and much more by creating a free account

Similar Resources on Wayground

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Discover more resources for

What is the remainder when x³-1 divided by (x+2)?

The function below, f(x), has (x-7) and (x+4i) as factors.
f(x)=2x⁵-13x⁴+22x³-187x²-160x+336
What is the total number of real zeros of f(x)?

The graph of the function m(x)=x³+3x²-2x-4 has a zero at -1. What are the other zeros of the function?

Which expression is equivalent to (x²-2x-37)/(x²-3x-40)?

Find the values of A, B, and C that will make the equation shown below true.
$\frac{3x-5}{4x+3}+\frac{-2x+1}{7x-2}=\frac{Ax^2+Bx+C}{\left(4x+3\right)\left(7x-2\right)}$

Which expression is equivalent to $\frac{\left(x^2-5x+6\right)^{-1}}{\left(x-2\right)^{-2}}\div\frac{\left(x-3\right)^{-1}}{\left(x-2\right)^{-2}}?$

Two functions are shown below.
f(x)=2x³+2x-3
g(x)=-0.5|x-4|
What is the y-value when f(x)=g(x)?