Solving Equations and Roots

The video tutorial covers solving equations using square and cube roots. It explains the process of finding solutions for equations involving square roots, which result in both positive and negative solutions, and cube roots, which result in only positive solutions. The tutorial also provides guidance on using scientific calculators to solve these equations and includes practice problems to reinforce learning. Additionally, it discusses real-life applications of these mathematical concepts, such as calculating dimensions in practical scenarios.

What is the solution to the equation x² = 25?

• x = 5

• x = -5

• x = ±5

• x = 0

How do you solve x³ = 27 using cube roots?

• x = 3

• x = 9

• x = ±3

• x = -3

Which tool is recommended for calculating cube roots?

• Basic calculator

• Abacus

• Scientific calculator

• Graphing calculator

If the area of a square photo is 9 square inches, what is the length of one side?

• 9 inches

• -3 inches

• 3 inches

• ±3 inches

What is the square root of 81?

• 0

• -9

• ±9

• 9

What is the cube root of 1000?

• -10

• 10

• 100

• ±10

In a real-life scenario, why might a negative solution be disregarded?

• Negative solutions are not applicable in real-life measurements

• Negative solutions are too complex

• Negative solutions are always incorrect

• Negative numbers are not real

What is the cube root of 1728?

• 12

• 14

• 16

• 18

If a room is a cube with a volume of 6859 cubic feet, what is the length of one side?

• 17 feet

• 18 feet

• 20 feet

• 19 feet

How much will it cost to cover a 19x19 square foot floor with hardwood at $10 per square foot?

• $3,900

• $3,800

• $4,000

• $3,610