Foundations of Algebra Review 1

PEMDAS

100

20 - 8 ÷ 2

20 - 8 ÷ 2

= 20 - 4

= 16

200

2² + 1

2² + 1

= 4 + 1

= 5

300

12 ÷ 3 x 2

= 8        [left to right]

400

- 15 ÷ (-5) x 7

- 15 ÷ (-5) x 7

= 3 x 7

= 21

500

18 ÷ (2 + 1) x 4

18 ÷ (2 + 1) x 4

= 18 ÷ 3 x 4

= 6 x 4

= 24

Combining Like Terms

100

4a + 8 + 2a

6a + 8

200

The two things needed for terms to be "like terms" (i.e., the same ______ and the same ______ )

Variable and Power

300

-11w + 7w + 10

-4w + 10

400

-2m -5m + 4

-7m + 4

500

10x + 4y - 3x + 2y

7x + 6y

Distribution and CLT

100

2 (x + 3)

2x + 6

200

4 (m + 3) - 2

4m + 10

300

- 2 (y + 4) + 1

-2y - 8 + 1

= -2y - 7

400

-6 (k - 2) - 5

-6k + 12 - 5

= -6k + 7

500

3 (x + 2) - 2 (x + 4)

3x + 6 - 2x - 8

= x - 2

1-Step Equations

100

y - 4 = 11

y = 15

200

k + 5 = 17

k = 12

300

m + 13 = 10

m = -3

400

8r = 48

r = 6

500

n ÷ 5 = 6

n = 30

2-Step Equations

100

2x + 5 = 13

2x + 5 = 13

2x = 8

x = 4

200

3y - 4 = 11

3y - 4 = 11

3y = 15

y = 5

300

-6 = 2k + 10

-6 = 2k + 10

-16 = 2k

-8 = k

400

15 - 2n = 7

15 - 2n = 7

15 = 2n + 7

8 = 2n

4 = n

500

(p ÷ 3) - 4 = 2

Please imagine p is over 3 like in fraction form

(p ÷ 3) - 4 = 2

p ÷ 3 = 6

p = 6 x 3

p = 18