Unit 1: Properties and Polynomials Review

Polynomial Vocabulary

100

Determine the CONSTANT TERM in the trinomial below.

3x⁵ - 5x + 7

7

200

The highest exponent in a polynomial

What is the degree of a polynomial

300

Determine the leading coefficient AND the degree of the polynomial in the expression 3x⁶ - 5x³ + 9

leading coefficient is 3 and the degree is 6

400

Evaluate the expression below when x =-3:

x² - 2x - 15

0

Properties of Real Numbers

100

Determine the property shown in the equation: x + 5 = 5 + x

The commutative property of addition.

200

Expand the polynomial using the distributive property.

3(2x² -5x + 13)

What is 6x² - 15x + 39

300

Which operation(s) (addition, subtraction, multiplication, and/or division) does the commutative and associative property DO NOT work.

subtraction and division

400

Create an example of the ASSOCIATIVE PROPERTY.

VARY

Adding/Subtracting Polynomials

100

Find the sum: (9x+4)+(-5x-11)

What is 4x-7

200

If A = 2x²+8x+4 and B =x²-3x-2, then determine the trinomial that defines A + B.

What is 3x²-5x+2

300

Find the difference: (4x²+6x+3)-(2x²+2x+2)

What is 2x²+4x+1

400

Subtract (2x²-5x+4) from (7x²-2x+6)

What is 5x²+3x+2

Multiplying Polynomials

100

Find the product: (x+2)(x+4)

What is x²+6x+8

200

Find the product: (2x-6)(3x-2) using the area model (box method).

What is 6x²-22x+12

300

Expand the polynomial expression (x + 5)²

What is x² +10x + 25

400

Find the product: (6x²+2x - 7)(x+5)

What is 6x³+32x²+3x-35

More Polynomials and Exponents

100

Determine the sum of the expression 6x² - 9x + 2 and 4x² + 5

What is 10x² - 9x + 7

200

Determine the product of (11x⁷)(7x⁵)

What is 77x¹²

300

Simplify the expression 2(3x - 1) -5(2x + 9)

What is -4x - 47 

400

Expand the expression and then simplify (4x³)²

What is 16x⁶

500

Expand and then simplify:(8xy³)²

64x²y⁶