Algebra 1b radical expressions & data analysis

1. simplify 2/√5

a. 2/√5
b. √10
c. √10/5
d. 2√10/5 *** my answer

2. simplify -11√112

a. -44√7
b. -176 √7
c. -27 √7
d. 4√7 *** my answer

3. simplify 17√17 -9 √17

a. 8 *** my answer
b. 8√17
c. 26√17
d. 8√0

4. simplify 6/ √3 + 2

a. 4/ √3
b. 12 - 6 √3 *** my answer
c. √3 - 2
d. 3

5. what is the domain of the function y = 3√6x + 42 ?

a. x≥0
b. x ≤7 *** my answer
c. x ≥ -6
d. x ≥ -7

6. what are the domain and range of the function y = 2 √3x + 4 - 5 ?

a. x ≥ -4/3 ; y ≥ -5 *** my answer
b. x ≥ 4/3 ; y ≥ -5
c. x ≤ -4/3 ; y ≤ -5
d. x ≥ -4/3 ; y ≥5

7. when will the dependent variable in the equation y = √x+4 - 3 equal or exceed 4 ?

a. x ≥ -0.17
b. x ≥ 45
c. x ≥ 48 *** my answer
d. x ≥ 53

8. simplify the radical expression. show all of the steps.

√363 - 3√27