Algebra II

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n + 4 = 7

n – 5 = 4

n + 4 = 17

n – 6 = 13

n + 7 = 15

n – 8 = 17

3

9

13

19

8

9

Slide 15

Commutative Property

5 + 4 = 9 4 + 5 = 9

a + b = c b + a = c

6 + 3 = 9 3 + 6 = 9

x+ y = z y + x = z

3 + 4 + 1 = 8 1 + 3 + 4 = 8

Slide 16

Solve these equations using the commutative property

n + 7 = 7 + 4

m + 2 = 2 + 5

z + 3 = 3 + 9

g + 6 = 6 + 11

s + 4 = 4 + 20

c + 8 = 8 + 32

n = 4

m = 5

z = 9

g = 11

s = 20

c = 32

Slide 17

The Identity Property of Addition

7 + 0 = 7

a + 0 = a

8 + 0 = 8

c + 0 = c

2 + 0 = 2

Slide 18

Use the Identity Property of addition to solve these problems

n + 0 = 8

b + 0 = 7

m + 0 = 3

v + 0 = 5

w + 0 = 4

r + 0 = 2

n = 8

b = 7

m = 3

v = 5

w = 4

r = 2

Slide 19

Subtraction Rules of zero

7 – 7 = 0

n – n = 0

4 – 0 = 4

n – 0 = n

Slide 20

Find the value of n using the rules of subtraction

n - 8 = 0

n – 9 = 0

n – 0 = 7

n – 0 = 9

n – 7 = 0

n – 0 = 5

n = 8

n = 9

n = 7

n = 9

n = 7

n = 5

Slide 21

Write an equation for these problems using a variable

Timothy got 72 right on his timed test in July. He got 99 right on this same test in November.

Jasmin runs 15 minutes before school and 30 minutes after school.

One zinger costs 25 cents. Issak bought 4.

72 + n = 99 or 99 – 72 = n

15 + 30 = n

4 x 25 = n