Monomial Operations Test Review

Order of Operations (PEMDAS)

100

3 + 5 × 2

13

200

(6 + 4) ÷ 2

5

300

8 - 3² + 1

0

400

2(5 + 3)²

128

500

4 + (12 ÷ 3)² - 2³

8

Combining Like Terms

100

2x + 3x

5x

200

5a + 7b + 3a

8a + 7b

300

6x² + 2x - 3x² + 4

3x² + 2x + 4

400

8y³ + 2y² - 4y³ + y

4y³ + 2y² + y

500

5x² + 7x - 2x² + 3x - 4

3x² + 10x - 4

Multiplying & Dividing Monomials

100

3x(2x)

6x²

200

4a²(a³)

4a⁵

300

(12x^3)/(3x)

4x²

400

(6x⁴y²)(2x³y)

12x⁷y³

500

20a⁵b³ ÷ 4a²b

5a³b²

Exponent Rules (Multiplication and Division)

100

x²(x³)

x⁵

200

(y^4)/(y^2)

y²

300

 (2a³)(3a²) 

6a⁵

400

(10x^6)/(2x^2)

5x⁴

500

(x^4y^3)/(x^2y)

 

x²y²

Exponent Rules (Power of a Power)

100

(x³)²

x⁶

200

(y²)³

y⁶

300

(2a²)³

8a⁶

400

(3x²y)²

9x⁴y²

500

(4a³b²)²

16a⁶b⁴