SAN BARTOLOME HIGH SCHOOL
MATHEMATICS 9
QUARTER 2
SUMMATIVE TEST 2: RADICALS
NAME: _________________________________ SECTION: _____________
DATE: ______________ SCORE: ______
MULTIPLE CHOICES. Read each question/statement carefully then choose the best answer. Write the letter of your choice in your
answer sheet.
1. Which of the following is the principan square root of 196?
A. −14
B. 14
C. −16
D. 16
2. Between what two consecutive whole numbers does √31 lie?
A. 4 and 5
B. 5 and 6
C. 6 and 7
3. Subtract: 15√5 − 17√5
A. 32√10
4. Evaluate: −3√20 − √5
A. −√5
D. 7 and 8
B. 32√5
C. −2√10
D. −2√5
B. −7√5
C. −3√15
D. Already simplified
5. Find the perimeter of a triangle whose side lengths are 15 cm, 8√7 cm, and √112 cm. Give the answer as a radical
expression in simplest form.
A. (15 + 8√7 + √112) cm B. (15 + 12√7) cm
C. (15 + 24√7) cm
D. 27√7 cm
6. Simplify: √8𝑦 + 5√50𝑦 − 2√18𝑦
C. (√8 + 5√50 − 2√18)√𝑦
A. 13√2𝑦
B. 21√2𝑦
7. Which of the following is true?
1
1
1
2
A. 𝑏 2 + 𝑏 2 = 𝑏 2
B.
22
1
23
=2
8. What is the simplified form of 40 5−2 6−1 1000
A. 1
B.
9. Simplify: 3225
A. 4
3
2
2
5
6
C. (𝑏 5 ) = 𝑏 5
D. 882𝑦
1
1
D. 𝑏 −3 = 𝑏3
1
2−1
1
75
C.
B. 8
1
150
D.
C. 16
1
6000
D. 32
10. Translate the expression containing rational exponents: √2𝑥 2
5
1
2
2
1
1
1
C. 25 𝑥 5
A. 25 𝑥 5
B. 25 𝑥 5
11. Which of the following is a perfect square and at the same time a perfect cube?
A. 16𝑎4
B. 16𝑎6
C. 64𝑎6
12. Simplify the expression √125𝑑 + 5√20𝑑 − 3√45𝑑
A. 180d
B. 12√5𝑑
2
D. 64𝑎8
D.
C. 6√5𝑑
2
D. 25 𝑥 5
(√125 + 5√20 − 3√45)√𝑑
13. Multiply. Write the product in simplest form. √2(√6 + √7)
B. 2√6 + 2√7
C. √26
A. √12 + √14
14. The area of a square garden is 173 square feet. Estimate the side length of the garden.
A. 16 𝑓𝑡.
B. 11 𝑓𝑡.
C. 15 𝑓𝑡
15. Simplify: √16𝑟 2 𝑠 5
A. 4𝑟𝑠 2 √𝑠
B. 4√𝑠 2
16. Between what two consecutive integers does √230 lie?
A. 13 and 14
B. 14 and 15
17. Simplify √320𝑚15 𝑛7
3
A. 2𝑚5 𝑛2 √5𝑛
D. 2√3 + √14
D. 13 𝑓𝑡
C. 4𝑟 2 𝑠 4 √𝑠
D. 4𝑟𝑠 2 √𝑠 2
C. 15 and 16
D. 17 and 18
3
3
B. 4𝑚4 𝑛2 √5𝑛
3
C. 4𝑚4 𝑛2 √5𝑛
3
D. 4𝑚5 𝑛2 √5𝑛
18. Find the area of the square whose side is √7 + 2
A. 4√7 + 7
B. 4√7 + 11
2
19. If √𝑥 − 2 = 3, then (𝑥 − 2) =?
A. 5
B. 9
20. Find the value of x in 5√𝑥 − 2 = 20
A. 4
B. 8
C. 11√7
D. 17√7
C. 27
D. 81
C. 18
D. 36
21. Find the quotient of √2
6− 5
√
A. 7√12
B.
7√12
31
C.
6√2+√10
31
D. 6√2 + √10
22. Give the product: (4√2 + 5)(2√8 − 3)
A. −8√2 − 17
B. −8√2 + 17
C. 8√2 − 17
D. −8√2 + 17
23. If the simplest form of the radical expression √32 is in the form of m√n, which of the following is the value of mn?
A. 4
B. 16
C. 8
D. 2
24. In 𝑛√𝑚, m is called the
A. Radical
B. Radical symbol
C. Index
25. Which of the following is the first step in solving equation involving radicals?
A. Raise both sides of the equation to the power of the index.
B. Solve the new equation
C. Isolate the radical on one side of the equation.
D. Check the answer in the original equation.
D. radicand