Quiz 1.1-1.2 Real #s & Exponent Rules Review

Real #s

1

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

√35

R, I

2

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

12/15

R,Q

3

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

4.333333333....

R, Q

4

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

-6

R,Q,Z

5

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

√400

R,Q,Z,W,N

Properties

1

Name the property that justifies the given statement.

(3x ⋅ 4x) ⋅ 5x = 3x ⋅ (4x ⋅ 5x)

Associative (mult)

2

Name the property that justifies the given statement.

3x + 5 = 5 + 3x

Commutative (add)

3

Name the property that justifies the given statement.

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

Distributive

4

Name the property that justifies the given statement.

6x + 0 = 6x

Identity (add)

5

Name the property that justifies the given statement.

5x ⋅ (1/5x) = 1

Inverse (mult)

Exponent Rules

1

Simplify:

-3x²y^-4⋅5x^-6y¹⁰

-15y⁶/x⁴

2

Simplify:

38x^-5y⁷/2x^-10y

19x⁵y⁶

3

Simplify:

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

5x/4y³

4

Simplify:

(3xy^-4)³

27x³/y¹²

5

(2x^-5y⁴)^-3

x¹⁵/8y¹²