Exponents and Radicals Pretest (No Calculator Section)
Math 10 Common
Name: ________________
Part A: Multiple Choice
1. Evaluate: √0.0625
2. Evaluate: √−32
3. Simplify: ∙ 4. Simplify:
.
5. Simplify: 6. Evaluate 256 .
7. Write a pattern could be used to predict 7 .
8. Simplify: !
9. Simplify: 5 ! ! ∙ 2
$
10. Jordan made a mistake in his simplification of
" #
% Steps
I.
−8 ! 4 II.
−64 4 III.
−16
Which step contains his first mistake?
a) Step I
b) Step II
11. Simplify: 18 ! * ∙ 5 ! %
12. Write "– #
13. Evaluate: 25
as a radical.
c) Step III
d) No mistake.
Exponents and Radicals Pretest (Calculator Section)
Math 10 Common
14. Beckie is asked to calculate , = −8.5 where = −10. Which step contains her first mistake?
Steps
I.
, = −8.5 0−10
II.
, = 8.5 010
III.
, ≈ −8.521.544
IV.
, ≈ 183.127
a) Step I
b) Step II
15. Calculate to two decimal points: √1325
16. Determine the exact value of 216
17. Determine the exact value of 169
18. Determine the exact value of
19. Simplify: " √
/#
%
.
c) Step III
d) Step IV
Part B: Open Response – Show all work neatly and circle your answers. Part marks may be awarded.
20. Determine the exact value of
21. Write 0 √
as a power.
22. Write √ % ∙√ ! as a power.
23. Determine the exact value of 24. Write 0
/ 2 as a power.
25. Simplify:√
÷ √
!
26. A radioactive isotope has a half life of 30 minutes, meaning every thirty minutes, only half of it is left. If
a sample of 500 grams is left for 3 hours, how much is left (to the nearest gram).
Answer Key
A 1 %
2 − 2 3 a
4 x 5 x 9 250x
14 a
20
27
8
15 4.21 16)
21 !
17) 13
@
22 !
18)
6 %
10 a
23 125
?
7 see full sol′n
x
11 %
5
8 1
12 − √a
13 125
19) / !
24 /* 2 %
25 26 78 cells