End-of-Course (EOC) Math 3

Last updated 11 months ago

30 questions

Required

NC.M3.A-APR.2

Required

NC.M3.A-APR.3

Required

NC.M3.A-APR.3

Required

NC.M3.A-APR.6

Required

NC.M3.A-APR.7.a

Required

NC.M3.A-APR.7.b

Required

NC.M3.A-CED.1

Required

NC.M3.A-CED.2

Required

NC.M3.A-REI.2

Required

NC.M3.A-REI.11

Required

NC.M3.A-SSE.2

Required

NC.M3.F-BF.1.a

Required

NC.M3.F-BF.3

Required

NC.M3.F-IF.2

Required

NC.M3.F-IF.2

Required

NC.M3.F-IF.4

Required

NC.M3.F-IF.7

Required

NC.M3.F-IF.7

Required

NC.M3.F-LE.4

Required

NC.M3.F-TF.2.b

Required

NC.M3.F-TF.5

Required

NC.M3.G-GMD.4

Required

NC.M3.G-CO.14

Required

NC.M3.G-CO.14

Required

NC.M3.G-CO.14

Required

NC.M3.G-GPE.1

Required

NC.M3.G-MG.1

Required

NC.M3.S-IC.1

Required

NC.M3.S-IC.4

Required

NC.M3.S-IC.4

End-of-Course (EOC) Math 3

End-of-Course (EOC) Math 3

What is the remainder when x^{3} - 1 is divided by (x + 2)?

The function below, f(x), has (x - 7) and (x + 4i) as factors.

f(x) = 2x^{5} - 13x^{4} + 22x^{3} - 187x^{2} - 160x + 336

What is the total number of real zeros of f(x)?

Martha 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) = 2x^{3} + 2x - 3
g(x) = -0.5|x - 4|

What is the y-value when f(x) = g(x)?

A function is shown below.

h(x) = \begin{cases} -\frac{1}{2}x - 15 & \text{for } x \leq -4 \\ 20 - 3x^2 & \text{for } x > -4 \end{cases}

What is the value of h(-4) + 3h(-2)?

A function is shown below:

H(x) = 4x^{3} - 5x^{2} - 23x + 6

What is the distance, to the nearest hundredth of a unit, between the two zeros that are closest to each other?

In parallelogram MNPT, m∠M = (6x + 10)° and m∠N = (5x + 10.5)°. How many degrees is ∠T?

What is the remainder when x^{3} - 1 is divided by (x + 2)?

The function below, f(x), has (x - 7) and (x + 4i) as factors.

f(x) = 2x^{5} - 13x^{4} + 22x^{3} - 187x^{2} - 160x + 336

What is the total number of real zeros of f(x)?

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?

Which expression is equivalent to (x^{2}-2x-37)÷{(x^2 - 3x - 40)}?

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

The graph of an equation is shown below.

Which equation represents the graph?

Martha 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) = 2x^{3} + 2x - 3
g(x) = -0.5|x - 4|

What is the y-value when f(x) = g(x)?

Which choice is equivalent to the expression shown below?

48x^{3}-243xy^{2}

A polynomial, p(x), has a lead coefficient of 1 and exactly three distinct zeros.
x = -1 is a zero of multiplicity two
x = 2 is a zero of multiplicity one
x = 4 is a zero of multiplicity one
What choice shows p(x)?

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

Two piecewise functions are shown below.

h(x) = \begin{cases} -3x & \text{for } x < 2 \\ 4x + 1 & \text{for } x \ge 2 \end{cases}
g(x) = \begin{cases} x^2 + 2 & \text{for } x < 3 \\ x^3 & \text{for } x \ge 3 \end{cases}

What is the value of 3h(2) + 4g(1)?

A function is shown below.

h(x) = \begin{cases} -\frac{1}{2}x - 15 & \text{for } x \leq -4 \\ 20 - 3x^2 & \text{for } x > -4 \end{cases}

What is the value of h(-4) + 3h(-2)?

A function is shown below:

H(x) = 4x^{3} - 5x^{2} - 23x + 6

What is the distance, to the nearest hundredth of a unit, between the two zeros that are closest to each other?

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

An equation is shown below.

9^{-3x + 2} = 48

What is the value of x to the nearest ten-thousandth?

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?

In parallelogram MNPT, m∠M = (6x + 10)° and m∠N = (5x + 10.5)°. How many degrees is ∠T?

In rectangle FGHI, diagonals \overline{FH} and \overline{GI} intersect at E.

IE = 3x + 4
EG = 5x - 6
What is the length of \overline{FH}?

Triangle PMT is shown below.

What is the measure of segment PG?

What is the length of a radius of the circle represented by the equation x^{2} + y^{2} - 4x - 4y + 4 = 0?

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

End-of-Course (EOC) Math 3

End-of-Course (EOC) Math 3

What is the remainder when x^{3} - 1 is divided by (x + 2)?

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

Martha 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) = 2x^{3} + 2x - 3g(x) = -0.5|x - 4|What is the y-value when f(x) = g(x)?

A function is shown below.h(x) = \begin{cases} -\frac{1}{2}x - 15 & \text{for } x \leq -4 \\ 20 - 3x^2 & \text{for } x > -4 \end{cases} What is the value of h(-4) + 3h(-2)?

A function is shown below:H(x) = 4x^{3} - 5x^{2} - 23x + 6What is the distance, to the nearest hundredth of a unit, between the two zeros that are closest to each other?

In parallelogram MNPT, m∠M = (6x + 10)° and m∠N = (5x + 10.5)°. How many degrees is ∠T?

What is the remainder when x^{3} - 1 is divided by (x + 2)?

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

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?

Which expression is equivalent to (x^{2}-2x-37)÷{(x^2 - 3x - 40)}?

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

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

Martha 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) = 2x^{3} + 2x - 3g(x) = -0.5|x - 4|What is the y-value when f(x) = g(x)?

Which choice is equivalent to the expression shown below?48x^{3}-243xy^{2}

A polynomial, p(x), has a lead coefficient of 1 and exactly three distinct zeros.x = -1 is a zero of multiplicity twox = 2 is a zero of multiplicity onex = 4 is a zero of multiplicity oneWhat choice shows p(x)?

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

Two piecewise functions are shown below.h(x) = \begin{cases} -3x & \text{for } x < 2 \\ 4x + 1 & \text{for } x \ge 2 \end{cases}g(x) = \begin{cases} x^2 + 2 & \text{for } x < 3 \\ x^3 & \text{for } x \ge 3 \end{cases}What is the value of 3h(2) + 4g(1)?

A function is shown below.h(x) = \begin{cases} -\frac{1}{2}x - 15 & \text{for } x \leq -4 \\ 20 - 3x^2 & \text{for } x > -4 \end{cases} What is the value of h(-4) + 3h(-2)?

A function is shown below:H(x) = 4x^{3} - 5x^{2} - 23x + 6What is the distance, to the nearest hundredth of a unit, between the two zeros that are closest to each other?

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

An equation is shown below.9^{-3x + 2} = 48 What is the value of x to the nearest ten-thousandth?

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?

In parallelogram MNPT, m∠M = (6x + 10)° and m∠N = (5x + 10.5)°. How many degrees is ∠T?

In rectangle FGHI, diagonals \overline{FH} and \overline{GI} intersect at E.IE = 3x + 4EG = 5x - 6What is the length of \overline{FH}?

Triangle PMT is shown below.What is the measure of segment PG?

What is the length of a radius of the circle represented by the equation x^{2} + y^{2} - 4x - 4y + 4 = 0?

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

The function below, f(x), has (x - 7) and (x + 4i) as factors.

f(x) = 2x^{5} - 13x^{4} + 22x^{3} - 187x^{2} - 160x + 336

What is the total number of real zeros of f(x)?

Two functions are shown below.

f(x) = 2x^{3} + 2x - 3
g(x) = -0.5|x - 4|

What is the y-value when f(x) = g(x)?

A function is shown below.

h(x) = \begin{cases} -\frac{1}{2}x - 15 & \text{for } x \leq -4 \\ 20 - 3x^2 & \text{for } x > -4 \end{cases}

What is the value of h(-4) + 3h(-2)?

A function is shown below:

H(x) = 4x^{3} - 5x^{2} - 23x + 6

What is the distance, to the nearest hundredth of a unit, between the two zeros that are closest to each other?

The function below, f(x), has (x - 7) and (x + 4i) as factors.

f(x) = 2x^{5} - 13x^{4} + 22x^{3} - 187x^{2} - 160x + 336

What is the total number of real zeros of f(x)?

The graph of an equation is shown below.

Which equation represents the graph?

Two functions are shown below.

f(x) = 2x^{3} + 2x - 3
g(x) = -0.5|x - 4|

What is the y-value when f(x) = g(x)?

Which choice is equivalent to the expression shown below?

48x^{3}-243xy^{2}

A polynomial, p(x), has a lead coefficient of 1 and exactly three distinct zeros.
x = -1 is a zero of multiplicity two
x = 2 is a zero of multiplicity one
x = 4 is a zero of multiplicity one
What choice shows p(x)?

Two piecewise functions are shown below.

h(x) = \begin{cases} -3x & \text{for } x < 2 \\ 4x + 1 & \text{for } x \ge 2 \end{cases}
g(x) = \begin{cases} x^2 + 2 & \text{for } x < 3 \\ x^3 & \text{for } x \ge 3 \end{cases}

What is the value of 3h(2) + 4g(1)?

A function is shown below.

h(x) = \begin{cases} -\frac{1}{2}x - 15 & \text{for } x \leq -4 \\ 20 - 3x^2 & \text{for } x > -4 \end{cases}

What is the value of h(-4) + 3h(-2)?

A function is shown below:

H(x) = 4x^{3} - 5x^{2} - 23x + 6

What is the distance, to the nearest hundredth of a unit, between the two zeros that are closest to each other?

An equation is shown below.

9^{-3x + 2} = 48

What is the value of x to the nearest ten-thousandth?

In rectangle FGHI, diagonals \overline{FH} and \overline{GI} intersect at E.

IE = 3x + 4
EG = 5x - 6
What is the length of \overline{FH}?

Triangle PMT is shown below.

What is the measure of segment PG?