Unit 1 Review

Vocabulary

100

The product of two rational numbers is always _____

Rational

200

What is the DEGREE of 2x⁴+9x³-5x²+6

4

300

How many terms are in this polynomial? 4y⁵+6xy-3x²

Three

400

Define leading coefficient 

The number in front of the variable with the highest exponent

500

Like terms need to have...(two things!!)

1. Same variables 2. Same exponents

Adding & Subtracting Polynomials

100

(x+5)+(3x+9)

4x + 14

200

(6x²+4)-(3x²+5)

3x²-1

300

(-4x²+2x-3)+(5x²-4x+8)

x²-2x+5

400

(6x²-5x+8)-(4x²-7x+9)`

2x²+2x-1

500

(5x³+4x²-2x+2)+2(2x³-2x²+x+5)

9x³+12

Unit Conversion

100

How many feet are in a yard

3ft

200

17 years into minutes

525,600 min

300

2,678 cm into feet

87.86 feet

400

60 miles per hour into meters per second

26.8 m/s

500

1100 feet per second into miles per hour

750 mph

Multiplying Polynomials

100

(3x+1)(2x+3)

6x²+12x+3

200

(2x-5)(3x+2)

6x²-4x-10

300

(2x-4)(3x²-6x+1)

6x³-24x²+26x-4

400

(2x²-4x+6)(x²+5x-2)

2x⁴+6x³-18x²+38x-12

500

Ms. Carson wants to know how many desks can fit in her classroom next year. The length of her classroom is x+5 ft and the width of her classroom is x-4 ft. What is the area of her classroom? Area = lw

x²+x-20 ft²

Radicals

100

√175

5√7

200

√80 + √20 - √125

√5

300

√605 + √180

17√5

400

(√55)(√5)

5√11

500

(√14)(3√8)

12√7