Alg 2 Quiz 1.1-1.3 Review

Real Numbers

100

Name all sets to which each value belongs. (Use R, I, Q, Z, W, N)

√35

R, I

200

Name all sets to which each value belongs. (Use R, I, Q, Z, W, N)

12/15

R, Q

300

Name all sets to which each value belongs. (Use R, I, Q, Z, W, N)

4.333333333....

R, Q

400

Name all sets to which each value belongs. (Use R, I, Q, Z, W, N)

-6

R, Q, Z

500

Name all sets to which each value belongs. (Use R, I, Q, Z, W, N)

√400

R,Q,Z,W,N

Properties

100

Name the property that justifies the given statement.

(3x ⋅ 4x) ⋅ 5x = 3x ⋅ (4x ⋅ 5x)

Associative (mult)

200

Name the property that justifies the given statement.

3x + 5 = 5 + 3x

Commutative (add)

300

Name the property that justifies the given statement.

3(4x+7y)=12x+21y

Distributive

400

Name the property that justifies the given statement.

6x + 0 = 6x

Identity (add)

500

Name the property that justifies the given statement.

5x ⋅ (1/5x) = 1

Inverse (mult)

Exponent Rules

100

Simplify:

-3x²y^-4⋅5x^-6y¹⁰

-15y⁶/x⁴

200

Simplify:

38x^-5y⁷/2x^-10y

19x⁵y⁶

300

Simplify:

20x^-3y^-4/16x^-4y^-1

5x/4y³

400

Simplify:

(3xy^-4)³

27x³/y¹²

500

(2x^-5y⁴)^-3

x¹⁵/8y¹²

Radical Operations

100

-2√50

-10√2

200

-3√18 + √8

-7√2

300

-√2 ⋅ -4√3

4√6

400

10√6 / √8

5√3

500

(√5 -2)/2√18

(√10 - 2√2)/12