Test 2 Review

Add/Subtract Polynomials

100

(6a − 3a²) + (2a² − 3a)

-a^2+3a

200

(5x² + 4) − (5 + 5x³)

-5x^3+5x^2-1

300

Subtract (6 − 7b³) from (8b³ + 8)

15b^3+2

400

(9a⁴ + 1 − 11a²) − (a + 8a² + 2) − (6a² − 9)

9a^4-25a^2-a+8

500

(8x⁴ − 12 + 3x) − (9x⁴ + 7 − 11x) + (9x + 8)

-x^4+23x-11

Distributive Property

100

5(3m − 6)

15m-30

200

−6(7 + x)

-6x-42

300

-6(x+2)-2

-6x-14

400

-3-7(-3-6v)

42v-18

500

7(-12x-3)+10(6x+7)

-24x+49

Properties of Real Numbers

100

Change order of expressions

What is Commutative Property?

200

Any number multiplied by 0 is 0

What is Zero Property?

300

Move around the parenthesis in expressions.

What is Associative Property?

400

Multiplying reciprocals is equal to 1.

What is Multiplicative Inverse Property?

500

Add 0 to an expression to keep it the same.

What is Additive Identity Property?

Simplest Radical Form

100

√144

12

200

√75

5√ 3

300

(4√10)-(5√10)

-√10

400

√32-√18+√ 50

6√2

500

(-2√15)((-3√ 3)+(3√ 5))

(18√5)-(30√3)

Exponent Rules

100

4x^0

4

200

(3x³)(3x⁴)(-3x²)

-27x^9

300

(22y^6z^8)/(2yz^-7)

11y^5z^15

400

6x^0y^8-(2y^2)^4

16y^8

500

x^-1

1/x