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(Answer) MATH114N – Week 6 Assignment: Solving Radical Equations

QUESTIONS

Question 1

An accident investigator measured the skid marks of one of the vehicles involved in an accident. The length of the skid marks, d, was 117ft. Use the formula s= √24d to find s, the speed of the vehicle before the brakes were applied. Round your answer to the nearest tenth.

Question 2

A square picture frame encloses a picture with area 65in2. Use the formula s= √A to find the length of one side of the picture. Round your answer to the nearest tenth of a inch.

Question 3

Solve: √ + 2+1 = √3q +7. If there are multiple solutions, list them separated by a comma, e.g. 1,2. If there is no solution, enter ∅.

Question 4

Solve: √-9d – 8 – d = 0. If there are multiple solutions, list them separated by a comma, e.g., 1,2. If there is no real solution, enter ∅.

Question 5

Solve: √-5n +14 = −n. If there are multiple solutions, list them separated by a comma, e.g., 1,2. If there is no real solution, enter ∅.

Question 6

Solve: √x−2 = √x-56. If there are multiple solutions, list them separated by a comma, e.g. 1,2. If there is no solution, enter ∅.

Question 7

Solve: √2z + 3 = −z. If there are multiple solutions, list them separated by a comma, e.g., 1,2. If there is no real solution, enter ∅.

Question 8

Solve: √-6z +3 + z = −4. If there are multiple solutions, list them separated by a comma, e.g., 1,2. If there is no real solution, enter ∅.

Question 9

A helicopter flying at an altitude of 600ft dropped a package to a lifeboat. Use the formula t=√h /4 to find how many seconds it takes for the package to reach the lifeboat. Round your answer to the nearest tenth of a second.

Question 10

An accident investigator measured the skid marks of one of the vehicles involved in an accident. The length of the skid marks was 175ft. Use the formula s= √24d to find the speed of the vehicle before the brakes were applied. Round your answer to the nearest tenth.

Question 11

Solve: √x+2+1 = √3x +3. If there are multiple solutions, list them separated by a comma, e.g. 1,2. If there is no solution, enter ∅.

Question 12

Solve: √z – 7 = √z – 105. If there are multiple solutions, list them separated by a comma, e.g. 1,2. If there is no solution, enter ∅.

ANSWERS

Question 1

An accident investigator measured the skid marks of one of the vehicles involved in an accident. The length of the skid marks, d, was 117ft. Use the formula s= √24d to find s, the speed of the vehicle before the brakes were applied. Round your answer to the nearest tenth.

Answer: 53 feet per second​

Question 2

A square picture frame encloses a picture with area 65in2. Use the formula s= √A to find the length of one side of the picture. Round your answer to the nearest tenth of a inch.

Answer: 8.1 inches

Question 3

Solve: √ + 2+1 = √3q +7. If there are multiple solutions, list them separated by a comma, e.g. 1,2. If there is no solution, enter ∅.

Answer:…..

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