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)

757764

step-by-step explanation:

de77737dd

3. (5x + 1) - (-10x + 6)

simplify the answer choice. combine like terms. remember to distribute the negative to the terms inside the second parenthesis. also remember that two negatives = one positive, and one of each sign = negative.

- (-10x + 6) = + 10x - 6

simplify. combine like terms:

5x + 1 + 10x - 6

5x + 10x + 1 - 6

15x - 5

∴ it is your answer

~