Fall 2022 Math 2 Practice Final

1

Add the following polynomials: (10y2 - 17y - 6) + (7y2 + 13y + 2)

1

The graph of y=x2 is the solid black graph below. Which function represents the dotted graph?

1

Express as a trinomial: (x+2)(2x+3)

1

Which equation best matches the graph shown below?

1

Re-write the quadratic function below in Standard Form: y = 2(x−3)2+8

1

Solve for all values of x by factoring: x2 −2x = 10x

1

Use the Quadratic Formula to find the roots of the equation: x2 +12 = 4x

1

Find the product of the radicals below, in simplest form.

1

Simplify:

1

Rewrite:

1

Express in simplest form with a rational denominator:

1

Solve the following inequality for b. Write your answer in simplest form:

1

Find the solution of the system of equations:
8y - 9x = -3
5y - 8x = 10

1

Which point would NOT be a solution to the system of linear inequalities shown below?

3

Select all the pairs that represent alternate exterior angles.

1

Given m∥n, find the value of x.

1

Which transformation would take Figure A to Figure B?

1

For each pair of triangles, tell which conjectures, make the triangles congruent.

1

Given L'M'N'P' is a dilation of LMNP, find the scale factor of dilation.

1

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.)

1

Find the length of x exactly.

1

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?

1

Which trigonometric ratio should you use to solve for "h"?

1

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.

1

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.

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f(x) = 3x2 −9x +6; Find f(−2)

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Find the value of f(-7)

1

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?

1

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.

1

Fall 2022 Math 2 Practice Final

Add the following polynomials: (10y2 - 17y - 6) + (7y2 + 13y + 2)

The graph of y=x2 is the solid black graph below. Which function represents the dotted graph?

Express as a trinomial: (x+2)(2x+3)

Which equation best matches the graph shown below?

Re-write the quadratic function below in Standard Form: y = 2(x−3)2+8

Solve for all values of x by factoring: x2 −2x = 10x

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 = -35y - 8x = 10

Which point would NOT be a solution to the system of linear inequalities shown below?

Select all the pairs that represent alternate exterior angles.

Given m∥n, find the value of x.

Which transformation would take Figure A to Figure B?

For each pair of triangles, tell which conjectures, make the triangles congruent.

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.

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?

Which trigonometric ratio should you use to solve for "h"?

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.

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.

f(x) = 3x2 −9x +6; Find f(−2)

Find the value of f(-7)

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?

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)

Add the following polynomials: (10y2 - 17y - 6) + (7y2 + 13y + 2)

The graph of y=x2 is the solid black graph below. Which function represents the dotted graph?

Express as a trinomial: (x+2)(2x+3)

Which equation best matches the graph shown below?

Re-write the quadratic function below in Standard Form: y = 2(x−3)2+8

Solve for all values of x by factoring: x2 −2x = 10x

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 = -35y - 8x = 10

Which point would NOT be a solution to the system of linear inequalities shown below?

Select all the pairs that represent alternate exterior angles.

Given m∥n, find the value of x.

Which transformation would take Figure A to Figure B?

For each pair of triangles, tell which conjectures, make the triangles congruent.

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.

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?

Which trigonometric ratio should you use to solve for "h"?

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.

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.

f(x) = 3x2 −9x +6; Find f(−2)

Find the value of f(-7)

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?

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)

Find the solution of the system of equations:
8y - 9x = -3
5y - 8x = 10

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.

Find the solution of the system of equations:
8y - 9x = -3
5y - 8x = 10

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.