The graph of a function is shown below. Which interval is the graph decreasing?

[ − 2 , 0 ) \left[-2,0\right) [ − 2 , 0 )

( − 4 , − 1 ) \left(-4,-1\right) ( − 4 , − 1 )

( 0 , 2 ] \left(0,2\right] ( 0 , 2 ]

( 0 , 4 ] \left(0,4\right] ( 0 , 4 ]

The graph of a function is shown below. Which interval is the graph increasing?

( 0 , 4 ] \left(0,4\right] ( 0 , 4 ]

( − 4 , − 1 ) \left(-4,-1\right) ( − 4 , − 1 )

[ − 2 , 0 ) \left[-2,0\right) [ − 2 , 0 )

( 0 , 2 ] \left(0,2\right] ( 0 , 2 ]

The graph of a function is shown below. Which interval is the graph positive?

( − 4 , − 1 ) \left(-4,-1\right) ( − 4 , − 1 )

[ − 2 , 0 ) \left[-2,0\right) [ − 2 , 0 )

( 0 , 2 ] \left(0,2\right] ( 0 , 2 ]

( 0 , 4 ] \left(0,4\right] ( 0 , 4 ]

The graph of a function is shown below. Which interval is the graph negative?

( 0 , 2 ] \left(0,2\right] ( 0 , 2 ]

( − 4 , − 1 ) \left(-4,-1\right) ( − 4 , − 1 )

[ − 2 , 0 ) \left[-2,0\right) [ − 2 , 0 )

( 0 , 4 ] \left(0,4\right] ( 0 , 4 ]

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

f ( x ) = 5 x − 3 f\left(x\right)=5^x-3 f ( x ) = 5 x − 3

f ( x ) = ∣ 2 x − 1 ∣ f\left(x\right)=\left|2x-1\right| f ( x ) = ∣ 2 x − 1 ∣

f ( x ) = cos ⁡ ( x ) + 1 f\left(x\right)=\cos\left(x\right)+1 f ( x ) = cos ( x ) + 1

The vertices of a triangle are at (0,0), (6,6), and (9,3). What is the volume, in cubic units, of the figure created by rotating the triangle about y = x y=x 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 a 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 was 2.85, and the standard deviation was 0.4. Select all of the statements that are true. (Note: Margin of error ≈ 2 s n \approx2\frac{s}{\sqrt{n}} ≈ 2 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"> s , where s is the standard deviation and n is the sample size.

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

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 0.057.

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 s n \approx2\frac{s}{\sqrt{n}} ≈ 2 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"> s 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

NC Math 3 2018 Released EOC Questions

Authored by Nicole Baize

Mathematics

9th - 12th Grade

CCSS covered

Used 67+ times

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38 questions

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FILL IN THE BLANKS QUESTION

5 mins • 1 pt

What is the remainder when $x^3-1$ is divided by $x+2$ ?

(a)

Tags

CCSS.HSA.APR.B.2

FILL IN THE BLANKS QUESTION

5 mins • 1 pt

The function below, $f\left(x\right)$ has $x-7$ and $x+4i$ as factors.
$f\left(x\right)=2x^5-13x^4+22x^3-187x^2+160x+336$
What is the total number of real zeros of $f\left(x\right)$ ?

(a)

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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

$-2\ and\ 2$

$-1\ and\ 4$

$-1\pm\sqrt{5}$

$1\pm2\sqrt{3}$

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.11

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Which expression is equivalent to $\left(x^2-2x-37\right)$ divided by $\left(x^2-3x-40\right)$

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

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

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

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

Tags

CCSS.HSA.APR.D.6

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What value of A will make the equation true?
$\frac{3x-5}{4x+3}+\frac{-2x+1}{7x-2}=$ $\frac{Ax^2+Bx+C}{\left(4x+3\right)\left(7x-2\right)}$

$12$

$13$

$16$

$29$

Tags

CCSS.HSA.APR.D.7

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What value of B will make the equation true?
$\frac{3x-5}{4x+3}+\frac{-2x+1}{7x-2}=$ $\frac{Ax^2+Bx+C}{\left(4x+3\right)\left(7x-2\right)}$

$-31$

$-33$

$-43$

$-51$

Tags

CCSS.HSA.APR.D.7

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What value of C will make the equation true?
$\frac{3x-5}{4x+3}+\frac{-2x+1}{7x-2}=$ $\frac{Ax^2+Bx+C}{\left(4x+3\right)\left(7x-2\right)}$

$-7$

$-3$

$13$

$16$

Tags

CCSS.HSA.APR.D.7

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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

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

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

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

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

Tags

CCSS.HSA.APR.D.7

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?

$\left|x-0.25\right|\le32$

$\left|x+0.25\right|\le32$

$\left|x-32\right|\le0.25$

$\left|x+32\right|\le0.25$

Tags

CCSS.HSA.CED.A.3

10.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

The graph of an equation is shown. Which equation represents the graph?

$y=\left|x\right|-2$

$y=\left|2x\right|-2$

$y=\left|x-2\right|$

$y=\left|2x-2\right|$

Tags

CCSS.HSF-IF.C.7D

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NC Math 3 2018 Released EOC Questions

What is the remainder when x3−1x^3-1x3−1 is divided by x+2x+2x+2 ? (a)

The function below, f(x)f\left(x\right)f(x) has x−7x-7x−7 and x+4ix+4ix+4i as factors. f(x)=2x5−13x4+22x3−187x2+160x+336f\left(x\right)=2x^5-13x^4+22x^3-187x^2+160x+336f(x)=2x5−13x4+22x3−187x2+160x+336 What is the total number of real zeros of f(x)f\left(x\right)f(x) ? (a)

The graph of the function m(x)=x3+3x2−2x−4m\left(x\right)=x^3+3x^2-2x-4m(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)\left(x^2-2x-37\right)(x2−2x−37) divided by (x2−3x−40)\left(x^2-3x-40\right)(x2−3x−40)

What value of A will make the equation true? 3x−54x+3+−2x+17x−2=\frac{3x-5}{4x+3}+\frac{-2x+1}{7x-2}=4x+33x−5​+7x−2−2x+1​= Ax2+Bx+C(4x+3)(7x−2)\frac{Ax^2+Bx+C}{\left(4x+3\right)\left(7x-2\right)}(4x+3)(7x−2)Ax2+Bx+C​

What value of B will make the equation true? 3x−54x+3+−2x+17x−2=\frac{3x-5}{4x+3}+\frac{-2x+1}{7x-2}=4x+33x−5​+7x−2−2x+1​= Ax2+Bx+C(4x+3)(7x−2)\frac{Ax^2+Bx+C}{\left(4x+3\right)\left(7x-2\right)}(4x+3)(7x−2)Ax2+Bx+C​

What value of C will make the equation true? 3x−54x+3+−2x+17x−2=\frac{3x-5}{4x+3}+\frac{-2x+1}{7x-2}=4x+33x−5​+7x−2−2x+1​= Ax2+Bx+C(4x+3)(7x−2)\frac{Ax^2+Bx+C}{\left(4x+3\right)\left(7x-2\right)}(4x+3)(7x−2)Ax2+Bx+C​

(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​ Which expression is equivalent to

The graph of an equation is shown. Which equation represents the graph?

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What is the remainder when $x^3-1$ is divided by $x+2$ ?

(a)

The function below, $f\left(x\right)$ has $x-7$ and $x+4i$ as factors.
$f\left(x\right)=2x^5-13x^4+22x^3-187x^2+160x+336$
What is the total number of real zeros of $f\left(x\right)$ ?

(a)

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

Which expression is equivalent to $\left(x^2-2x-37\right)$ divided by $\left(x^2-3x-40\right)$

What value of A will make the equation true?
$\frac{3x-5}{4x+3}+\frac{-2x+1}{7x-2}=$ $\frac{Ax^2+Bx+C}{\left(4x+3\right)\left(7x-2\right)}$

What value of B will make the equation true?
$\frac{3x-5}{4x+3}+\frac{-2x+1}{7x-2}=$ $\frac{Ax^2+Bx+C}{\left(4x+3\right)\left(7x-2\right)}$

What value of C will make the equation true?
$\frac{3x-5}{4x+3}+\frac{-2x+1}{7x-2}=$ $\frac{Ax^2+Bx+C}{\left(4x+3\right)\left(7x-2\right)}$

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