Question

Simplify: 4 - (3 + 1)2 - 6 ÷ 2 + 4 Combine like terms: 7x3 + 2x - 5x2 + 6 + x + 9 + 3x3 + 12x2 Simplify: (2x5 - 3x2 + 4) - (x5 + 2x2 + 7) Multiply: 3x2(4x3 - 2x2 + 7x - 4) Evaluate: 6x2 + 9x - 7, when x = 2 Evaluate: 3(x - y)2 + 4y - 6x + 2, when x = -1 and y = 3 Solve for x: 7x - 5 = 23 Solve for y: 7y - 4 + 3y + 6 = 9y + 8 Solve for w: 5(w - 2) + 6 = 3w - 14 Solve the following inequality for x. Then graph the solution on a number line: -4x + 2 < 2x - 6

Answer 1

x>4/3

Explanation:

4-(3+1)^2-6/2+4

4-4^2-3+4

4-16-3+4

-12-3+4

-15+4

-11

-------------------------

7x^3+2x-5x^2+6+x+9+3x^3+12x^2

10x^3-5x^2+12x^2+2x+x+6+9

10x^3+7x^2+3x+15

-------------------------------

3x^2(4x^3-2x^2+7x-4)

12x^5-6x^4+21x^3-12x^2

--------------------------------------

6x^2+9x-7 when x=2

6(2)^2+9(2)-7

6(4)+18-7

24+18-7

42-7

35

------------------------------

3(x-y)^2+4y-6x+2

3(-1-3)^2+4(3)-6(-1)+2

3(-4)^2+12+6+2

3(16)+12+8

48+12+8

68

------------------------------

7x-5=23

7x=23+5

7x=28

x=28/7

x=4

---------------

7y-4+3y+6=9y+8

10y-4+6=9y+8

10y-9y+2=8

y+2=8

y=8-2=6

y=6

--------------------------

5(w-2)+6=3w-14

5w-10+6=3w-14

5w-4=3w-14

5w-3w-4=-14

2w-4=-14

2w=-14+4

2w=-10

w=-10/2

w=-5

----------------------

-4x+2<2x-6

-4x-2x+2<-6

-6x+2<-6

-6x<-6-2

-6x<-8

6x<8

x<8/6

x<4/3

x>4/3

Answer 2

Explanation:

4-(3+1)^2-6/2+4

4-4^2-3+4

4-16-3+4

-12-3+4

-15+4

-11

-------------------------

7x^3+2x-5x^2+6+x+9+3x^3+12x^2

10x^3-5x^2+12x^2+2x+x+6+9

10x^3+7x^2+3x+15

-------------------------------

3x^2(4x^3-2x^2+7x-4)

12x^5-6x^4+21x^3-12x^2

--------------------------------------

6x^2+9x-7 when x=2

6(2)^2+9(2)-7

6(4)+18-7

24+18-7

42-7

35

------------------------------

3(x-y)^2+4y-6x+2

3(-1-3)^2+4(3)-6(-1)+2

3(-4)^2+12+6+2

3(16)+12+8

48+12+8

68

------------------------------

7x-5=23

7x=23+5

7x=28

x=28/7

x=4

---------------

7y-4+3y+6=9y+8

10y-4+6=9y+8

10y-9y+2=8

y+2=8

y=8-2=6

y=6

--------------------------

5(w-2)+6=3w-14

5w-10+6=3w-14

5w-4=3w-14

5w-3w-4=-14

2w-4=-14

2w=-14+4

2w=-10

w=-10/2

w=-5

----------------------

-4x+2<2x-6

-4x-2x+2<-6

-6x+2<-6

-6x<-6-2

-6x<-8

6x<8

x<8/6

x<4/3

x>4/3