Match the correct letter

1.
4 * ¼ = 1

2.
6 * 1 = 6

3.
5 + 7 = 7 + 5

4.
if 5 + 1 = 6 and 4 + 2 = 6, then 5 + 1 = 4 + 2

5.
4(x - 3) = 4x - 12

6.
3(5) = 5(3)

7.
rules that allow us to take short cuts when solving algebraic problems.

8.
5 * (3 * 2) = (5 * 3) * 2

9.
4 + (-4) = 0

10.
2 + 0 = 2

11.
a + (b + c) = (a + b) + c

a.
distributive property

b.
associative property of addition

c.
identity property of multiplication

d.
associative property of multiplication

e.
identity property of addition

f.
multiplicative inverse property

g.
additive inverse property

h.
commutative property of addition

i.
commutative property of multiplication

j.
transitive property

k.
properties

1) f

4 * ¼ = 1 (Multiplicative inverse property)

2) c

6 * 1 = 6 (Identity property of multiplication)

3) h

5 + 7 = 7 + 5 (Commutative property of addition)

4) j

If 5 + 1 = 6 and 4 + 2 = 6, then 5 + 1 = 4 + 2 (Transitive property)

5) a

4(x - 3) = 4x - 12 (Distributive property)

6) i

3(5) = 5(3) (Commutative property of multiplication)

7) k

Rules that allow us to take short cuts when solving algebraic problems.(Properties)

8) d

5 * (3 * 2) = (5 * 3) * 2 (Associative property of multiplication)

9) g

4 + (-4) = 0 (Additive inverse property)

10) e

2 + 0 = 2 (Identity property of addition)

11) b

A + (B + C) = (A + B) + C (Associative property of addition)

answer: 1 + 1 = 11

step-by-step explanation:

an

y = 6x -3y -12

y +3y +12 = 6x

=> . x = { 2y / 3 +2 } this is equation of line in terms of x

=> . if line meets the x-axis the co-ordinates of meeting point would be ( x , 0 )

=> . x = 2 ( 0 ) / 3 + 2

=> . x = 2

so, the point is ( 2 , 0 )