Math

Polynomials

100

Determine whether these are  polynomial, monomial, binomial, trinomial, or other polynomial. 

a. 27z³-8

b. 12m³-5m²-2m

c. 5/6

d. 8x⁴-7x²-6x-5 

e. -n⁴

Answer:

a. binomial 

b. trinomial

c. monomial

d. polynomial 

e. monomial 

200

Simplify:

(2²-3xy-2y²)+(5x²-3xy)

Answer:

7x²-2y²-6xy

300

Simplify: 

(3x²-4xy+5y²)+(2x²-xy)

Answer:

5x²+5y²-5xy 

400

Simplify:

(p²+q²)-(p²+10pq-2q²)

Answer:

3q²-10pq 

500

Simplify:

(a³-a²b)-(ab²+b³)+(a²b+ab²)

Answer:

a³-b³

Solving Systems of Equations (Graphing)

100

Solve by Graphing:

{5x=y+1 

{y=4

Answer:

(1,4)

200

Solve by Graphing:

0=3y+4x+9 

2x=-12+6y 

Answer:

(-3,1)

300

Solve by Graphing:

4=-y+x

x+1/2y=1

Answer:

(2,-2)

400

Solve by Graphing:

-3y+2x=12

x+y-1=0

Answer: 

(3,-2)

500

Solve by Graphing:

2x+y=7

x-2y=6

Answer:

(4,-1)

Solving Systems of Equations (Substitution)

100

Solve by Substitution:

-2x+y=-11

x+3y=9

Answer:

(6,1)

200

Solve by Substitution:

x+3y=10

4x+y=18

Answer:

(4,2)

300

Solve by Substitution:

4x+y=2

3x+2y=-1

Answer:

(1,-2)

400

Solve by Substitution:

x-5y=13

4x-3y=1

Answer:

(-2,-3)

500

Solving by Substitution:

y=-x+10

y=1/4x

Answer:

(8,2)

Solving Systems of Equations (Elimination)

100

Solve by Elimination:

x+y=10

x-y=12

Answer:

(11,-1)

200

Solve by Elimination:

2x+y=5

x-y=4

Answer:

(3,-1)

300

Solve by Elimination:

x+y=3

-2x-y=-1

Answer:

(-2,5)

400

Solve by Elimination:

6x+9y=15

12x+8y=0

Answer:

(-2,3)

500

Solve by Elimination:

7x+5y=3

-10x-2y=-30

Answer:

(4,-5)

Solving Systems of Equations (Mixed)

100

Solve by Graphing:

y=2x+1

y=4x-1

Answer:

(1,3)

200

Solve by elimination:

2x+y=7

x-2y=6

Answer:

(4,-1)

300

Solve by Graphing:

3x+y=-1

2x+y=0

Answer:

(-1,2)

400

Solve by Substitution:

x+y=-1

y=x+5

Answer:

(-3,2)

500

Solve by Substitution: 

3x+y=5

2x+4y=-10

Answer:

(3,-4)