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HG U1D9 Solving Equations with a Graph Aug13

Last updated 7 months ago
32 questions
Standard Form: A polynomial in standard form is a polynomial where the terms are arranged in order from the highest degree to the lowest degree. The coefficients can be positive or negative whole numbers.


Required
1

What is the leading coefficient of the polynomial
in standard form?

Required
1

When the following expression is in standard form, what is the coefficient of the 3rd term?


CLOSURE: Polynomials will be closed under an operation if the operation produces another polynomial. Adding polynomials creates another polynomial. Subtracting polynomials creates another polynomail. Multiplying polynomials creates another polynomial. Dividing polynomials does not necessarily create another polynomial. Polynomials are NOT closed under division (as you may get a variable in the denominator).
1
Expand and simplify the polynomial in standard form.
_______
Does the simplified expression demonstrate closure under the operation._______ (yes or no)
1
Expand and simplify the polynomial in standard form.
_______
Does the simplified expression demonstrate closure under the operation. _______ (yes or no)
1
Expand and simplify the polynomial in standard form.

_______

Does the simplified expression demonstrate closure under the operation. _______ (yes or no)
1
Expand and simplify the polynomial in standard form.

_______
Does the simplified expression demonstrate closure under the operation. _______ (yes or no)
1
Expand and simplify the polynomial in standard form.
_______

Does the simplified expression demonstrate closure under the operation. _______ (yes or no)
1
Expand and simplify the polynomial in standard form.
_______
Does the simplified expression demonstrate closure under the operation. _______ (yes or no)
1
Expand and simplify the polynomial in standard form.
_______
Does the simplified expression demonstrate closure under the operation. _______ (yes or no)
1
Expand and simplify the polynomial in standard form.
_______
Does the simplified expression demonstrate closure under the operation. _______ (yes or no)
1
Expand and simplify the polynomial in standard form.
_______
Does the simplified expression demonstrate closure under the operation. _______ (yes or no)
1
Determine an expression that represents the perimeter.

Perimeter = _______
1
Determine an expression that represents the area.
Area = _______
1
Determine an expression that represents the perimeter.
Perimeter = _______
1

Determine an expression that represents the area.

Required
1

Determine an expression that would represent the area of the shaded region shown.

1

Write a polynomial that represents the area of the football field.

1

Find the area of the football field when the width is 160ft.

A hotel will install a new patio around the already existing pool and hot tub.

1

Write a polynomial in standard form that represents the area of the patio, (just the patio).

Required
1

Explain how your polynomial models the situation. (ANSWERS WILL VARY)

Required
1

The hotel is just replacing the patio.
If x = 9, determine the total cost for materials if materials cost $10 per square foot.

A contractor extends a house on two sides.


1

What is the total area of the house after the renovation?

Required
1

Describe how your expression models the situation.

Required
1
What is the area of the extension (extension only) when x = 15?
The area of the extension is _______ square feet.
Solving Equations Examples

Example 1:

Example 2:

Required
1
Solve the equation.

2x + 3 = 9

x = _______
Required
1
Solve the equation.

7x + 1 = 2x + 46

x = _______

Required
1
Solve the equation.

3x - 1 = 14

x = _______
Required
1
Solve the equation.

6x - 3 = 2x + 13

x = _______
Required
1
Solve the equation.

9x - 10 = 7x + 24

x = _______
Required
1
Solve the equation.
Hint - With a degree of 2, you should look for 2 solutions.

x2 - 8x = -12

x = _______
Required
1
Solve the equation.
Hint - With a degree of 2, you should look for 2 solutions.

2x2 - 11x = 6

x = _______
Required
1
Solve the equation.
Hint - With a degree of 2, you should look for 2 solutions.

3x2 - 16x -12 = 0

x = _______