Solving Problems Involving Radical Equations
Quiz by Dave Remerata
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- Q1
Luis walks 5 km due east and 8 km due north. How far is he from the starting point?
√25 km
√64 km
√39 km
√89km
120s - Q2
Find the length of an edge of a cube given its surface area of 72 m2.
2√3 m
√2 m
6√3 m
6√12 m
120s - Q3
A taut rope starting from the top of a flagpole and tied to the ground is 15 m long. If the pole is 7 m high, how far is the rope from the base of the flagpole?
11 √4 m
16√4 m
16 √11 m
4 √11 m
120s - Q4120s
- Q5
Five times the square root of 1 less than a number is equal to 3 more than the same number. Find the numbers.
-17 and -2
17 and 2
15 and 4
-15 and -4
120s - Q6
The square root of the sum of two consecutive odd integers is equal to 6. Find the larger integer.
18
16
17
19
120s - Q7
For an airplane flying above the earth, the approximate distance d (in miles) to the horizon is given by the equation d =√8000𝑎, where a is the altitude of the plane in miles. Determine the altitude of the plane if its distance to the horizon is 150 miles.
120s - Q8
The formula t = 1.11√𝐿 , gives the time t (in seconds) required for a pendulum of length L feet to swing through one back- and- forth- cycle. A grandfather’s pendulum completes one cycle in 1.28 seconds. To the nearest hundredths in feet, how long is the pendulum?
1.33 ft
1.23 ft
1.22 ft
1.63 ft
120s - Q9
Find the length of the side of a square if its diagonal is √2 cm.
1 cm
10 cm
2 cm
0.1 cm
120s - Q10120s
- Q11
A man walks 4 meters to the east going to school and then walks 10 meters northward going to the church. How far is he from the starting point?
4 √29 m
3√29 m
5 √29 m
2√29 m
120s - Q12
If each side of a square garden is increased by 4 m, its area becomes 144 m2. What is the length of the side of the original square garden?
19 m
8 m
16 m
6 m
120s - Q13
A 26-foot ladder rests against a building and reaches a windowsill 24 feet above the ground. How far from the wall is the base of the ladder?
13 ft
12 ft
11 ft
10 ft
120s - Q14120s
- Q15
Find the number such that twice its square root is 14.
7
144
8
49
120s