Algebra 1 Unit 5 Review

Adding Polynomials

100

Add the Polynomials

(4x + 9) +(x - 4)

5x + 5

200

Add the polynomials:

(-3a - 2) + (7a + 5)

4a + 3

300

Add the polynomials:

(x² +3x + 5) + ( -x² +6x)

9x + 5

400

Add the polynomials:

(t² + 3t³ -3) + (2t² +7t -2t³) 

t³ +3t² +7t -3

500

Add the polynomials: 

(-1 + x² + 2x) + (1 -2x + 2x²)

3x²

Subtracting Polynomials

100

Subtract the polynomials:

(g - 4) - (3g - 6)

-2g + 2

200

Subtract the polynomials:

(-5h - 2) - (7h +6)

-12h - 8

300

Subtract the polynomials:

(-x² - 5) - (-3x² -x -8)

2x² + x +3

400

Subtract the Polynomials:

(k² + 6k³ -4) - (5k³ + 7k -3k²)

k³ + 4k² -7k -4

500

Subtract the Polynomials:

(2x - 3x) - (x² -2x + 4)

-x² + x - 4

Multiplying Polynomials

100

Multiply the Polynomials using Algebra Tiles:

3x² (2x⁴)

6x⁶

200

Multiply the Polynomials:

3(2x + 4x² - 5)

12x² + 6x - 15

300

Multiply the Polynomials:

−y² (−8x² − 6xy − y² )

8y²x² + 6y³x + y⁴ 

400

Multiply the Polynomials:

(x-2)(x+6)

x²+4x-12

500

Multiply the Polynomials:

 (2x-1)(x^2+6x-3) 

2x^3+11x^2-12x+3

Exponent Rules

100

Simplify the following:

 x^3*x^4 

x^7

200

Simplify:

 y^7/y^2 

y^5

300

Simplify:

 (a^2)^5 

a^10

400

Simplify:

 (m^-3*m^6)/m^2 

m

500

Simplify:

 ((2x^3y^-2)/(4x^-1y^4))^2 

x^8/(4y^12)

Identifying Polynomials

100

What is the degree, leading coefficient, and number of terms for the following polynomial.

 3x^2+5x-7 

Degree: 2

Leading Coefficient: 3

Number of terms: 3

200

Classify the expression as a monomial, binomial, or trinomial. 

 8x^4-2x 

Quartic Binomial

300

Which term is the leading term of this polynomial, and what is its degree?

 -5x^5+2x^3-x+10 

Degree: 5

Leading Term: 

-5x^5

400

What is the degree of this polynomial? How many terms are in the expression?

 4x^3y^2-6xy+9 

Degree: 5

Terms: 3

500

What is the degree, leading coefficient, and type

 7x^4y-3x^2y^3+4xy-1 

Degree: 5

Leading Coefficient 7

Type: Polynomial