Solving Equations and Fractions

The video tutorial explains how to solve equations involving square roots by isolating the square root and squaring both sides. The instructor demonstrates solving the equation 4x - 1 = 5, leading to x = 26/4. The importance of using fractions over decimals for easier verification is highlighted, showing how fractions simplify the process of checking solutions.

What is the first step in solving an equation involving a square root?

• Multiply both sides by 2

• Isolate the square root

• Subtract a constant from both sides

• Add a constant to both sides

What operation is used to eliminate the square root in the equation?

• Dividing by the square root

• Multiplying by the square root

• Squaring both sides

• Taking the cube root

After squaring both sides, what is the resulting equation from the given problem?

• 4x - 1 = 5

• 4x + 1 = 5

• 4x - 1 = 25

• 4x + 1 = 25

What is the next step after obtaining the equation 4x - 1 = 25?

• Multiply both sides by 4

• Subtract 1 from both sides

• Divide both sides by 4

• Add 1 to both sides

What is the value of x after solving the equation 4x = 26?

• 6

• 6.5

• 13

• 26

Why does the instructor prefer to keep the solution as a fraction?

• It is easier to divide

• It is easier to add

• It is easier to multiply

• It is easier to check the answer

What is the fraction form of the solution x?

• 26/4

• 52/8

• 13/2

• 6.5

What happens when you multiply 4 by 26/4?

• You get 104

• You get 6.5

• The 4s cancel out

• You get 26

What is the final step to verify the solution?

• All of the above

• Subtract 5 from 25

• Take the square root of 25

• Subtract 1 from 26