Algebra Basics

Order of Operations

100

(6 − 4) × 49 ÷ 7

14

200

(8 + 5) × 35/5 + 6

 97

300

8 × 15/5 − (5 + 9)

10

400

8/(5 − 1) × (3 + 6) × 3

54

500

(10 + 2 − 2) × 6 − 1

59

Evaluate Expressions

100

y÷ 2  + x; use x = 1, and y = 2

2

200

y + 9 − x; use x = 1, and y = 3

11

300

z(x + y); use x = 6, y = 8, and z = 6

84

400

p²m÷ 4; use m = 4, and p = 7

49

500

6 ÷ 6  + z + x − y; use x = 2, y = 5, and z = 6

4

Distributive Property

100

8(−b − 4)

-8b-32

200

5(3m − 6)

15m-30

300

−4(−8x − 8)

32x+32

400

(1 + 2v) ⋅ 5

5+10v

500

(−6p + 7) ⋅ −4

24p-28

Combining like terms

100

12r + 5 + 3r − 5

15r

200

4n − n

3n

300

−4 + 7(1 − 3m)

3-21m

400

10 − 5(9n − 9)

55-45n

500

5(−2n + 4) + 2(n + 3)

-8n+26

Solving Equations

100

p − 6 = −5

1

200

0 = 4 + n/5

-20

300

 (v + 9)/3 = 8

15

400

−5(1 − 5x) + 5(−8x − 2) = −4x − 8x

-5

500

−(1 + 7x) − 6(−7 − x) = 36

5