Fall 2025 Final Project

Unit 1

100

Is the equation

3x^-2+2y+3 

a polynomial

No

Polynomials cannot contain negative exponents, radicals, fractional exponents, or variables in the denominator. 

200

What is the solution to the equation

(put polynomial here)+(Put polynomial here)

(Put answer here)

When adding polynomials, it is just combining like terms so you have to combine (Add rest here) 

300

What is the solution to the equation 

(Put polynomial here)-(Put polynomial here)

(Put solution here)

When subtracting polynomials you have to subtract the figures with the same variable from each other, (Put rest here) 

400

What is the solution to the equation 

() times ()

(Put answer here)

When multiplying polynomials you have to multiply each number by each other

500

What is the solution to the equation 

() times ()

(Put answer here)

When multiplying polynomials you have to multiply each number by each other

Unit 2

100

What is the distance between the point (3,2)

and (8,2)

The distance between the two points is 5 units

All you have to do is subtract the first point's x value from the second point's x value. 

200

What type of quadrilateral has adjacent sides with equal lengths 

The Kite has adjacent sides with equal lengths

The Kite requires adjacent sides with equal lengths to be considered a kite. 

300

What is the midpoint of the points (4,9) and (-12,-5)

The midpoint of the two points is (-8, 2) 

You have to use the midpoint formula, which is basically adding the similar values (X adds to X, and Y to Y) Then divide that number by 2.   

400

What is the distance between the points (2,9), and the point (-5,-1) rounded to the nearest tenth

The distance between the two points is 12.2

You have to use the distance formula, or the Pythagorean theorem to solve this question, but you should get 12.2 

500

What is the other endpoint of a line segment with an endpoint of (9,8) and a Midpoint of (2,4)

(-5,0) 

If you do the reverse of a Midpoint formula you get the numbers 4, and 8, If you subtract 9 from 4, and 8 from 8, you get -5 and zero which are your coordinates  

Unit3

100

What is the point (1,9) after translating 4 units down, and 2 units right

(3,5)

You have to subtract 4 from the y value, and add 2 to the x value

200

What is the point (4,8) reflected over the X axis 

(4,-8)

You have to multiply the y value by -1

300

What is the point (3,7) reflected over the Y axis 

(-3,7)

When you flip a point over the Y axis, you have to multiply the x value by -1

400

What is the new point after the point (-1,7) is rotated 90 degrees clockwise about the origin

(7,1)

When rotating 90 clockwise about the origin the transformation is (x,y) to (y,-x) 

500

If triangle D(,) E(,) F(,) is rotated 270 degrees clockwise about the origin, what are the new coordinates of point D.

(,)

In order to solve this you need to change (x,y) to   (-y,x)

Unit 4

100

What is the new point after the point (4,7) is dilated by a scale factor of 1/2

(2,3.5)

You just have to divide the numbers by 2 

200

What is the scale factor of the point (4,3) turning to (12,9)

The scale factor is 3

You have to divide 12 by four, and 9 by 3. You should get an answer of 3

300

Solve the proportion 

2/r=5/7

r=2.8

400

what is the value of x in the equation

x+10/6=5x+2/10

x=4.4

You have to cross multiply and set 10x+100=30x+12. Then you have to combine like terms and get 20x=88. 88/20=4.4. so x=4.4

500

what is the value of x in the equation

-x+1/5=5/x+7

x=-18

You have to cross multiply and set -x+7 equal to 25. then you subtract 7 from 25. -x=18, so x=-18

 

Vocab

100

 This is the term for a polynomial with 2 terms

Binomial 

There are different names for polynomials with a different number of terms. Polynomials with 1 term are called monomials, polynomials with 2 terms are called binomials, and polynomials with 3 terms are called trinomials. 

200

What is the type/degree of polynomial is the equation

5x³+2y² 

A Quartic

All polynomials are given a degree based on the highest exponent above a variable

Constant polynomials do not have a variable, Linear polynomials have a variable with an exponent of 1, Quadratics have a variable with an exponent of 2, Quartic polynomials have a variable with and exponent of 3, and Quartic polynomials have an exponent of 4.   

300

What is the term for angles that add up to 180 degrees

Supplementary angles

Supplementary angles add up to 180 degrees, while Complementary angles add up to 90 degrees. 

400

What is the name for a motion that does not change the shape or size of a specified shape

Rigid motion

 Rigid motions change the position of a shape without changing the shape or size of a shape, Non-rigid motions change the shape, and/or the size of a shape.

500

What term denotes the amount that a shape shrinks or grows compared to the original figure

Scale factor 

Scale factor can multiply, or divide the size of a shape