Question

Solve each equation, and explain your reasoning for all problems

Answer 1

1. Answer: x=36
because you first multiply both sides by 3 then reduce the numbers with the greatest common factor 3. Then you multiply the number and get 36.

2. Answer: x= -2 and x=2
Divide both side of the equation by 3. Take the square root of both sides of the equation and remember to use both positive and negative roots. Then separate the solutions.

3. Answer: x =∛12 or 2.28943 in alternate form

Take the root of both side of the equation

4. Answer: 1728
Raise both sides of the equation to the power of 3. Then reduce the index of the radical and exponent with 3. Evaluate the power.

5. Answer: 48
Square both sides of the equation. Divide both sides of the equation by 3.

6. Answer: 1/4
Determine the defined range. Multiply both side of the equation by x. Swap the sides of the equation. Divide both sides of the equation by 12.