STUDY GUIDE: Translating, Evaluating, Square Roots, Cube Roots
Name: _______________________________________
Date: __________________
Translating
1.
2.
3.
4.
5.
Nine times a number less than fifteen.
The quotient of nine and a number is less than fifteen.
The sum of nine and a number is less than or equal to fifteen.
Nine times a number less fifteen.
The difference of nine and a number is fifteen.
6. Bob’s monthly family phone plan costs $50 per person with a $40 data fee.
Write an expression to show the cost for his plan: _________________________
If Bob has 4 people on his plan, what is the charge? (Show plug in and simplify.)
Evaluating
7. -5√𝑥 – 10 + y
8.
3
√𝑏 + (𝑎 − 3)2
9. √16 y ÷ 3 + x
where x = 25 and y = -2
where b = -27 and a = 15
where y = 3 and x = -6
Square Roots and Cube Roots
10. The √110 is between which two positive consecutive integers?
and
Evaluate:
3
10. √125
11. √196
3
3
11. √1000
12. √−512
3
13. The √300 is between which two consecutive integers?
and
14. The √50 is between which two consecutive integers?
and
3
15. The √−1001 is between which two consecutive integers?
and
Application & Word Problems
16. Explain in your own words why √−4 is not possible.
3
17. Explain in your own words why √−8 is possible.
18. The volume of a cube is 64 blocks3. What is the length of one side of the cube?
19. The area of a square welcome mat is 100 inches2. How long is the length of one side?
20. The length of one side of a cube is 10 inches. What is the volume of the cube?
21.
The length of one side of a square baseball field is 90 feet. What is the area of the baseball field?
22. Order the following numbers from greatest to least.
1
2
3
4
5
3
√−64
3
√210
3
√8
√121
−√25
6
√10
Write the order in the boxes below.
Simplify the radical
√128
23.
24. √162
25. √20
26. √27𝑥 7
27. √200𝑥 2 𝑦 9
28. √128𝑥 3 𝑦 5
3
29. √−686
3
30. √135