Unit 2 Review

Algebraic Expressions

100

A number increased by 5

n+5

200

12 less than a number

n-12

300

The quotient of a number and 6 increased by 5

n/6 + 5

400

The product of 8 and a number squared

8n²

500

5 subtracted from the quotient of a number and 4 squared

(n/4)² - 5

Simplifying Expressions

100

5x - 11x

-6x

200

12 + (-5) - 3x

-3x+7

300

12(5x) - 3y(7) - 4x + 3y

56x-18y

400

-3x⁵ - 4x² + 12x² - 8x

-3x⁵+8x²-8x

500

11x⁶ - 10x⁵ - 9x⁴ + (-17x⁵) - 20x⁴ + 2x⁶

13x⁶-27x⁵-29x⁴

Factoring Expressions

100

3x+6

3(x+2)

200

13x - 29

Prime

300

9x - 81y + 18

9(x-9y+2)

400

-56x + 84y - 14

7(-8+12y-2)

500

100x - 225y + 15z - 30

5(20x-45y+3z-6)

Simplify, then Factor

100

2x + 3 - 5x -6

-3(x+3) or 3(-x-3)

200

-7x - 4 + 6 - 7x

2(-7x+1)

300

20x - 6y + 3 + 4x - 3y

3(8x-3y+1)

400

12x - 8y + 36x - 24y

16(3x-2y)

500

84b + 126 + 210b

42(7b+3)

Exponents

100

3a² x 6x⁵

18x⁷

200

4a⁶ / 12a⁴

1/3 a² or 1a²/3

300

(5x²y⁵)³+(-2x⁶y¹⁵)

123x⁶y¹⁵

400

4a⁴ x 16a²b³ Divided by 2a⁸b²

32b/a²

500

(12x⁸y⁶)² x (2x²y¹²)⁵ Divided by 6x² x (2x⁵)²

451/3 x¹⁴y⁷²