4.1-4.4 Review

4.1

100

Write 3(a³⁾(b³) in expanded form. 

3 x a x a x a x b x b x b 

200

Simplify. (-6)²

36

300

Simplify. 5-3⁴

-76

400

Simplify 2(3-5)²

8

500

Simplify. (1 x 10³) + (4 x 10²) + (9 x 10) + 2

1492

4.2

100

Add: (2x - 5y + 2) + (5x + 6y -7)

7x + y - 5

200

Add: (3n² + 5n - 6) + (-n² -3n + 3) 

2n² + 2n - 3

300

Subtract: (y² - 3y - 5) - (-y² -7y + 4)

2y² + 4y - 9

400

Subtract: (3a³ - 2ab²) - (a³ -4ab² - b²)

2a³ +2ab² + b²

500

Subtract: (a - 3b - 5) - (-a + 2b + 3)

2a + b - 8

4.3

100

Simplify: (m²n)(mn⁴)

m³n⁵

200

Simplify: (3y³z)(4y⁴z²)

15y⁷z³

300

Simplify: (1/3t⁵⁾(9t²)

3t⁷

400

Simplify: (ab²)(5a²b³)(3a³)

15a⁶b⁵

500

Simplify: (4xy)(2xy²)(-2y²)

-16x²y⁵

4.4

100

Simplify: (7a)²

49a²

200

Simplify: (1/2y)²(2y)⁵

8y⁷

300

Simplify: (2x²y³)⁴(-xy²)²

16x¹⁰y¹⁶

400

Simplify: (2x)²(2x)⁴

64x⁶

500

Simplify: (1/2p²q)³(2pq²)²

2p¹⁰q¹¹

Mixed

100

Simplify: (3a²b)³

27a⁶b³

200

Simplify: (5x²)(2x³) + (3x)(4x⁴)

22x⁵

300

Simplify: r²s - 3rs² + 4s³ - 2r^ss - 3s²

-r²s - 3rs² - 3s² + 4s³

400

Simplify: [5³ + (-3)³] / 7²

2

500

Add: (3a - 7b - 5c + 2) + (-a + 4b + c - 5) + (2a +3c + 3)

4a - 2b - c