Math Rules

Order of operations

100

Simplify the expression:

24 - [(7 x 3) + 3] = 

0

200

Write the steps to simplify the expression

18 + 12/(4 - 2) 

step 1 : do parenthesis

step 2 : do division

step 3 : add

300

3² x (1 + 2) + (5 + 6) = ?

38

400

62 - 3² x 8 + 11 = ?  

1

500

What is PEMDAS ?

Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)

Rule of exponents

100

3³ x 3⁵  = ?

3⁸ 

200

8⁶ / 8⁴ = ?

8² 

300

(6²)⁴ = ?

6⁸ 

400

(4 x 5)³ = ? 

4³  x 5³  

500

(3/4)²  = ?

3² / 4² 

Polynomials

100

Simplify the expression

5x² + x²  

6x² 

200

Simplify expression

4x² + 4x

No like terms. Answer: 4x² + 4x

300

5x² . x²  = ?

5x⁴

400

(-c³ +8c +2) - (-2c³  + 6c - 1)  = ?

c³  + 2c + 3

500

Subtract 2x² + 3x - 2 from 5x + 6

5x + 6 - (2x² + 3x - 2)

- 2x² + 2x + 8