Numerical Roots and Radicals Chapter Questions
Equations with Roots and Radicals Chapter Questions
1. Why would we simplify a non-perfect square root instead of just estimating it?
2. How do you solve an equation with perfect square and cube roots?
Equations with Roots and Radicals Chapter Problems
Squares, Square Roots & Perfect Squares
Classwork
Radical Expressions Containing Variables
1. Simplify
a. [pic]
b. [pic]
c. [pic]
d. [pic]
e. [pic]
f. [pic]
g. [pic]
h. [pic]
Homework
2. Simplify
a. [pic]
b. [pic]
c. [pic]
d. [pic]
e. [pic]
f. [pic]
g. [pic]
h. [pic]
Simplifying Non-Perfect Square Radicands
Classwork
3. Simplify
a. [pic]
b. [pic]
c. [pic]
d. [pic]
e. [pic]
f. [pic]
g. [pic]
h. [pic]
i. [pic]
j. [pic]
k. [pic]
l. [pic]
m. [pic]
4. When [pic] is written in simplest radical form, the result is [pic]. What is the value of k?*
5. When [pic] is expressed in simplest [pic] form, what is the value of a? What is the value of b?*
6. Circle the number that is greater*
a. [pic] or 5
b. [pic] or -6
c. [pic] or 10
d. [pic] or -15
Homework
7. Simplify
a. [pic]
b. [pic]
c. [pic]
d. [pic]
e. [pic]
f. [pic]
g. [pic]
h. [pic]
i. [pic]
j. [pic]
k. [pic]
l. [pic]
m. [pic]
8. When [pic] is written in simplest radical form, the result is [pic]. What is the value of k?*
9. When [pic] is expressed in simplest [pic] form, what is the value of a? What is the value of b?*
10. Circle the number that is greater
a. [pic] or 7
b. [pic] or -6
c. [pic] or 12
d. [pic] or -9
Simplifying Roots of Variables
Classwork
11. Simplify
a.[pic]
b.[pic]
c. [pic]
d. [pic]
e. [pic]
f. [pic]
g. [pic]
h. [pic]
i. [pic]
j. [pic]
k. [pic]
Homework
12. Simplify
a.[pic]
b. [pic]
c. [pic]
d. [pic]
e. [pic]
f. [pic]
g. [pic]
h. [pic]
i. [pic]
Solving Equations with Perfect Squares and Cube Roots
Classwork
13. Solve.
a. [pic]
b. [pic]
c. [pic]
d. [pic]
e. [pic]
f. 25+x2=50
g. x3- 10=54
14. A cube has a volume of 512cm3. A) Write an equation that could be used to determine the length, L, of one side of the cube. B) Solve the equation.*
15. Estimate the area of a rectangle with a length of [pic] inches and a width of 10 inches to the nearest tenth.*
16. If the area of a square is [pic] in2. What is the length of one side of the square?*
17. Which equation has -8 as a possible value of x?
a. x3 = -512
b. x2 = -64
c. x3 = -16
d. x2 = -16
Homework
18. Solve.
a. [pic]
b. [pic]
c. [pic]
d. [pic]
e. [pic]
f. [pic]x2 = 90
g. x3+ 5 = -120
19. A cube has a volume of 216cm3. A) Write an equation that could be used to determine the length, L, of one side of the cube. B) Solve the equation.*
20. Estimate the area of a rectangle with a length of [pic] inches and a width of 4 inches to the nearest tenth.*
21. If the area of a square is [pic] in2. What is the length of one side of the square?*
22. Which equation has both 6 and -6 as possible values of x?
a. x2 = 12
b. x3 = 18
c. x2 = 36
d. x3 = 216
Equations with Roots & Radicals Review
1) [pic] [pic] *
a. >
b. <
c. =
2) Simplify: [pic]
a. 40[pic]
b. 2[pic]
c. 3[pic]
d. 9[pic]
3) When [pic] is written in simplest radical form, the result is [pic]. What is the value of k?*
a. 20 c. 14
b. 40 d. 4
4) When [pic] is written in simplest radical form, [pic]. What is the value of a? What is the value of b?*
5) Solve: [pic]
6) Solve: [pic]
7) [pic] ___________________
8) [pic] _____________________
9) Simplify [pic]____________
10) Approximate the area of a rectangle to the nearest tenth if its length is [pic]cm and its width is [pic] cm.*
11) A cube has a side length of 2x and a volume of 216 cm3.*
a. Write an equation for the volume of the cube.
b. Solve the equation to find the value of x.
Answer Key
1.
a. [pic]
b. [pic]
c. [pic]
d. [pic]
e. [pic]
f. [pic]
g. [pic]
h. [pic]
2.
a. [pic]
b. [pic]
c. [pic]
d. [pic]
e. [pic]
f. [pic]
g. [pic]
h. [pic]
3.
a. 5[pic]
b. 4[pic]
c. 2[pic]
d. 2[pic]
e. 5[pic]
f. 10[pic]
g. 5[pic]
h. 2[pic]
i. 3[pic]
j. 6[pic]
k. 105[pic]
l. 33[pic]
m. 66[pic]
4. K=28
5. A=2, b=14
6.
a. 5
b. -6
c. [pic]
d. [pic]
7.
a. 4[pic]
b. [pic]
c. [pic]
d. [pic]
e. [pic]
f. [pic]
g. [pic]
h. [pic]
i. [pic]
j. [pic]
k. [pic]
l. [pic]
m. [pic]
8. K=30
9. a=5, b=5
10.
a. 7
b. -6
c. [pic]
d. [pic]
11.
a. [pic]
b. [pic]
c. [pic]
d. [pic]
e. [pic]
[pic]
f. [pic]
g. [pic]
h. [pic]
i. [pic]
j. [pic]
12.
a. [pic]
b. [pic]
c. [pic]
d. [pic]
e. [pic]
f. [pic]
g. [pic]
h. [pic]
i. [pic]
13.
a. 2
b. ±14
c. -5
d. ±12
e. ±7
f. ±5
g. 4
14. a. L3=512 b. L=8cm
15. ~120in2
16. [pic]in
17. a
18.
a. -1
b. ±25
c. ±6
d. -3
e. 4
f. ±9
g. -5
19. a. L3= 216 b. L=6cm
20. ~44.8in2
21. [pic]in
22. c
Review answers
1. a
2. c
3. b
4. a=3, b=14
5. ±6
6. -6
7. 5x7y[pic]
8. 10xyz2[pic]
9. x5
10. ~44cm2
11. a. [pic] =216
b. x=3cm
* From Engage NY
* From Engage NY
* From Engage NY
* From Engage NY
* From Engage NY
................
................
In order to avoid copyright disputes, this page is only a partial summary.
To fulfill the demand for quickly locating and searching documents.
It is intelligent file search solution for home and business.
Related searches
- the outsiders chapter questions doc
- the outsiders chapter questions pdf
- latin roots and their meanings
- complex roots and real roots
- latin roots and affixes
- all latin roots and meaning
- english prefixes roots and suffixes
- roots and suffixes worksheet pdf
- native american roots and herbs
- medical prefixes roots and suffixes
- exponents and radicals calculator
- word roots and combining forms