1. Distributive Property
1. 2(3x + 12) =
2. 5(4x - 6) =
3. -2(4x + 5) =
4. 6(-3x - 4) =
5. ½ (4x + 12) =

2. Solve each one-step equation
1. x - 12 = 24
2. x + 13 = 30
3. ½ x = 12
4. ¼ x = 6
5. 1.2x = 6
x =
x =
x =
x =
x =

3. Solve each two step equation
1. 2x + 12 = 18 x=
2. 3x - 9 = 27
x =
3. 4x + 8 = 32 x =
4. ½ x + 8 = 10 x =
5. ¼ x - 4 = 8 x =

4. Distributive Property and Equations
1. 4(x + 2) = 12
2. 5(x - 2) = 20
x =
x =
3. 2(3x - 4) = 24 x =
4. 3(x + 6) = 18 x =
5. ½ (6x + 12) = 18 x =

1. Distributive Property

1. 2(3x + 12) = 6x+24

2. 5(4x - 6) = 20x-30

3. -2(4x + 5) = -8x+-10

4. 6(-3x - 4) = -18x-24

5. ½ (4x + 12) = 2x+6

2. Solve each one-step equation

1. x - 12 = 24

2. x + 13 = 30

3. ½ x = 12

4. ¼ x = 6

5. 1.2x = 6

x = 36

x = 17

x = 24

x = 24

x = 5

3. Solve each two step equation

1. 2x + 12 = 18

x=3

2. 3x - 9 = 27

x = 6

3. 4x + 8 = 32

x=6

4. ½ x + 8 = 10

x=4

5. ¼ x - 4 = 8

x=48

4. Distributive Property and Equations

1. 4(x + 2) = 12

x=1

2. 5(x - 2) = 20

x = 6

3. 2(3x - 4) = 24

x= 5.4

4. 3(x + 6) = 18

x= 4

5. ½ (6x + 12) = 18

x=4

the value of v.w= -12.

step-by-step explanation:

we are given three vector r,v and w as:

r = < 5, -5, -2> ; v = < 2, -8, -8> ; w = < -2, 6, -5>

we know that r,v and w could also be represented as:

r=5i-5j-2k

v=2i-8j-8k

and w= -2i+6j-5k

where i,j and k are the unit vectors of x,y and z-axis respectively.

also we know that it has the following property:

i.i=1 ; j.j=1; k.k=1

and i.=j.i=i.k=k.i=j.k=k.j=0

i.e. when we multiply two vectors or we find it's dot product we need to only multiply the components of x coordinates with each other; y with each other and z with each other.

hence, v.w= (2i-8j- -2i+6j-5k)

                  = 2×(-2)+(-8)×(6)+(-8)×(-5)

                  = -4-48+40

                  = -12

hence, v.w= -12

(x, y)→(x − 8, y − 7)

step-by-step explanation:

enjoy!