Question

use the distrubutive law to expand the following
10(6g+7)





5(3e+8)





8(s+7)





4(2+a)





7(x+5)





3(6+a)





9(9-x)





5(j-4)

Answer 1

6i(t-v)





2d(v+m)





5c(2w-t)





6e(s+p)





d(x+9s)





5a(2x+3v)





5j(r+7p)





I(n+4w) ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Answer 2

When expanded, 4(3x+6y) gives 12x+24y. Find two other expressions that expand to 12x + 24y.

Answer 3

In a school classroom there is one teacher as well as an unknown number of boys and girls.
a If the number of boys is b and the number of girls is g, write an expression for the total
number of people in the classroom, including the teacher.
b The teacher and all the students are each wearing two socks. Write two different expressions
for the total number of socks being worn, one with brackets and one without.

Answer 4

Please answer this question:
When expanded, 4(3x+6y) gives 12x+24y. Find two other expressions that expand to 12x + 24y.

Answer 5

Write an expression for each of the following and then expand it.
b
A number, x, has 3 added to it and the result is multiplied by 5.
A number, b, has 6 added to it and the result is doubled.
A number, Z, has 4 subtracted from it and the result is multiplied by 3.
A number, y, is subtracted from 10 and the result is multiplied by 7.

Answer 6

D = 6x – 3 =
E = 8 – 2x =
G = 15x + 10 =
H = –2x + 1 =
I = 12x + 20 =
L = 2xy – 3y =
N = 18 – 42x =
O = –2x – 2 =
P = 2xy – 8y =
S = –12x – 21 =
T = xy – 2x =
V = 56x – 35 =
E = 6xy + 3x =
L = 8xy – 72y =
N = –x + 2 =
E = 6x – 14 =
O = –xy + y =
P = 3x – 12 =
E = –8x – 24 =
S = 3xy – 2y =
T = 6xy – 10y =
O = –49 – 28x =
H = –20x – 25 =

Answer 7

what are the answers to:
D = 6x – 3 =
E = 8 – 2x =
G = 15x + 10 =
H = –2x + 1 =
I = 12x + 20 =
L = 2xy – 3y =
N = 18 – 42x =
O = –2x – 2 =
P = 2xy – 8y =
S = –12x – 21 =
T = xy – 2x =
V = 56x – 35 =
E = 6xy + 3x =
L = 8xy – 72y =
N = –x + 2 =
E = 6x – 14 =
O = –xy + y =
P = 3x – 12 =
E = –8x – 24 =
S = 3xy – 2y =
T = 6xy – 10y =
O = –49 – 28x =
H = –20x – 25 =

Answer 8

6(3 – 7x) –y(x – 1) x(y – 2) –5(4x + 5) 4(3x + 5) –(x – 2)
3(2x – 1) –8(x + 3) 7(8x – 5) 3x(2y + 1) y(2x – 3) –2(x + 1) 3(x – 4) y(3x – 2)
2(4 – x)
–7(7 + 4x)
8y(x – 9)
–(2x – 1) 2y(x – 4)
2y(3x – 5)
2(3x – 7)
–3(4x + 7)
5(3x + 2)

Answer 9

what about the answers

Answer 10

10(6g+7) = 10 * 6g + 10 * 7 = 60g + 70

5(3e+8) = 5 * 3e + 5 * 8 = 15e + 40

8(s+7) = 8 * s + 8 * 7 = 8s + 56

4(2+a) = 4 * 2 + 4 * a = 8 + 4a

7(x+5) = 7 * x + 7 * 5 = 7x + 35

3(6+a) = 3 * 6 + 3 * a = 18 + 3a

9(9-x) = 9 * 9 - 9 * x = 81 - 9x

5(j-4) = 5 * j - 5 * 4 = 5j - 20

Answer 11

6i(t-v) = 6i * t - 6i * v = 6it - 6iv

2d(v+m) = 2d * v + 2d * m = 2dv + 2dm

5c(2w-t) = 5c * 2w - 5c * t = 10cw - 5ct

6e(s+p) = 6e * s + 6e * p = 6es + 6ep

d(x+9s) = dx + 9ds

5a(2x+3v) = 5a * 2x + 5a * 3v = 10ax + 15av

5j(r+7p) = 5j * r + 5j * 7p = 5jr + 35jp

I(n+4w) = In + 4Iw

Answer 12

a) The total number of people in the classroom, including the teacher, can be expressed as b + g + 1.

b) The total number of socks being worn can be expressed as 2(b + g + 1) with brackets and 2b + 2g + 2 without brackets.

Answer 13

Two other expressions that expand to 12x + 24y are:

1) 2(6x + 12y)
2) 6(2x + 4y)

Answer 14

1) The expression for "A number, x, has 3 added to it and the result is multiplied by 5" is: 5(x + 3)
Expanding it: 5x + 15

2) The expression for "A number, b, has 6 added to it and the result is doubled" is: 2(b + 6)
Expanding it: 2b + 12

3) The expression for "A number, Z, has 4 subtracted from it and the result is multiplied by 3" is: 3(Z - 4)
Expanding it: 3Z - 12

4) The expression for "A number, y, is subtracted from 10 and the result is multiplied by 7" is: 7(10 - y)
Expanding it: 70 - 7y

Answer 15

Here are the expanded expressions for each given expression:

D = 6x - 3

E = 8 - 2x

G = 15x + 10

H = -2x + 1

I = 12x + 20

L = 2xy - 3y

N = 18 - 42x

O = -2x - 2

P = 2xy - 8y

S = -12x - 21

T = xy - 2x

V = 56x - 35

E = 6xy + 3x

L = 8xy - 72y

N = -x + 2

E = 6x - 14

O = -xy + y

P = 3x - 12

E = -8x - 24

S = 3xy - 2y

T = 6xy - 10y

O = -49 - 28x

H = -20x - 25

Answer 16

Here are the answers to each given expression:

D = 6x - 3
E = 8 - 2x
G = 15x + 10
H = -2x + 1
I = 12x + 20
L = 2xy - 3y
N = 18 - 42x
O = -2x - 2
P = 2xy - 8y
S = -12x - 21
T = xy - 2x
V = 56x - 35
E = 6xy + 3x
L = 8xy - 72y
N = -x + 2
E = 6x - 14
O = -xy + y
P = 3x - 12
E = -8x - 24
S = 3xy - 2y
T = 6xy - 10y
O = -49 - 28x
H = -20x - 25

Answer 17

Here are the expanded expressions for each given expression:

6(3 – 7x) – y(x – 1) = 18 - 42x - xy + y

x(y – 2) – 5(4x + 5) = xy - 2x - 20x - 25

4(3x + 5) – (x – 2) = 12x + 20 - x + 2

3(2x – 1) – 8(x + 3) = 6x - 3 - 8x - 24

7(8x – 5) = 56x - 35

3x(2y + 1) = 6xy + 3x

y(2x – 3) – 2(x + 1) = 2xy - 3y - 2x - 2

3(x – 4) = 3x - 12

y(3x – 2) = 3xy - 2y

2(4 – x) = 8 - 2x

–7(7 + 4x) = -49 - 28x

8y(x – 9) = 8xy - 72y

–(2x – 1) 2y(x – 4) = -2x + 1 - 2xy + 8y

2y(3x – 5) = 6xy - 10y

2(3x – 7) = 6x - 14

–3(4x + 7) = -12x - 21

5(3x + 2) = 15x + 10

Answer 18

Apologies for that. Here are the answers to each given expression:

6(3 – 7x) – y(x – 1) = 18 - 42x - xy + y

x(y – 2) – 5(4x + 5) = xy - 2x - 20x - 25

4(3x + 5) – (x – 2) = 12x + 20 - x + 2

3(2x – 1) – 8(x + 3) = 6x - 3 - 8x - 24

7(8x – 5) = 56x - 35

3x(2y + 1) = 6xy + 3x

y(2x – 3) – 2(x + 1) = 2xy - 3y - 2x - 2

3(x – 4) = 3x - 12

y(3x – 2) = 3xy - 2y

2(4 – x) = 8 - 2x

–7(7 + 4x) = -49 - 28x

8y(x – 9) = 8xy - 72y

–(2x – 1) 2y(x – 4) = -2x + 1 - 2xy + 8y

2y(3x – 5) = 6xy - 10y

2(3x – 7) = 6x - 14

–3(4x + 7) = -12x - 21

5(3x + 2) = 15x + 10