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)
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
6i(t-v)
2d(v+m)
5c(2w-t)
6e(s+p)
d(x+9s)
5a(2x+3v)
5j(r+7p)
I(n+4w) ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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
When expanded, 4(3x+6y) gives 12x+24y. Find two other expressions that expand to 12x + 24y.
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.
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.
Please answer this question:
When expanded, 4(3x+6y) gives 12x+24y. Find two other expressions that expand to 12x + 24y.
Two other expressions that expand to 12x + 24y are:
1) 2(6x + 12y)
2) 6(2x + 4y)
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.
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