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100

The product of  5 and  b 

5b

200

The sum of  24 and twice Greg's savings. Use the variable  g  to represent Greg's savings.

24+2g

300

 60 decreased by twice a number . Use n as the variable for the unknown number.

60-2n

400

Twice the difference of a number and  9  is  5.Use the variable  b for the unknown number. 

2(b-9)=5

500

Three more than the quotient of a number and  2  is  6 .Use the variable  w for the unknown number. 

(w/2)+3=6

Degree and leading coefficient

100

What are the leading coefficient and degree of the polynomial? 

12x² -7+x³ +5x 

Leading coefficient:

Degree:

Leading coefficient: 1

Degree: 3

200

What are the degree and leading coefficient of the polynomial? 

-5y²+4-y⁵+y

Degree:

Leading coefficient:

Degree: 5

Leading coefficient: -1

300

What are the degree and leading coefficient of the polynomial? 

10y+20y³-23+7y⁴

Degree:

Leading coefficient:

What are the degree and leading coefficient of the polynomial? 10 y + 20 y begin superscript 3 end superscript − 23 + 7 y begin superscript 4 end superscript 

Degree: 4

Leading coefficient: 7

400

What are the leading coefficient and degree of the polynomial? 

-23+20v⁵+6v

Leading coefficient:

Degree:

What are the leading coefficient and degree of the polynomial? − 23 + 20 v begin superscript 5 end superscript + 6 v 

Leading coefficient:20

Degree:5

500

What are the degree and leading coefficient of the polynomial? 

18w-23+6w⁸+18w⁹

Degree:

Leading coefficient:

Degree: 9

Leading coefficient: 18

Degree of a multivariate polynomial

100

Give the degree of the polynomial.

-u⁵w²+5x+6-9w²x³u⁶

11

200

Give the degree of the polynomial. 

-2-2y⁶-wu⁴+13u³y³w²

8

300

Give the degree of the polynomial. 

6x¹¹+6y⁴x⁷w+w⁶y+3

12

400

Give the degree of the polynomial. 

x⁶u⁹-5v+6-14u⁸v⁸x⁸

24

500

Give the degree of the polynomial. 

-4+10x⁷u⁹y⁵-y⁹x⁶-2u

21

Properties of Real numbers

100

(2+b)+4=2+(b+4)

Associative Property of Addition

200

0x6=0

Multiplicative Property of Zero

300

3+(-3)=0

Additive Inverse Property

400

c(8)=8(c)

Commutative Property of Multiplication

500

5(a+7)=5(a)+5(7)

Distributive Property

Algebraic Expressions

100

Simplify the following expression. 

-3x²+6+17x²-4x

14x²-4x+6

200

(4x²+6x+7)-(9x²-7x+5)+(-9x²+2x-2)

-14x²+15x

300

(9-7x)(9+7x)

81-49x²

400

(6w+1)(2w²-5w+7)

12w³-28w²+37w+7

500

(u²-3u-5)(4u²+2u+4)

4u⁴-10u³-22u²-22u-20