Advanced Algebra Module 03 Problem Set 1.) Given the following two points, write the equation of the line that goes through the two points. Show all your work. (-3, 3) and (2, -7) 2.) Given the two systems of equations shown below, determine which system would be easiest solved using elimination and which using substitution. Explain why. System A 3x - 2y = 7 -4x - 6y = -5 System B 2 x +8 3 2x - 3y = 12 y= 3.) Solve the two systems of equations in #2. Show all your steps/work. 4.) Solve the following system of equations in 3 variables. Show all your steps/word. x - 2y -z = 8 2x - 3y + z = 23 4x - 5y + 5z = 53 5.) Explain the three types of solutions of system of equations can have? Advanced Algebra Module 04 Problem Set 1. Mary can paint a house by herself in 12 hours. John can paint a house by himself in 16 hours. How long would it take them to paint the house if they worked together? Show all of your work and thinking. 2. Perform the indicated operations, then simplify. Show all your work. 5y y +10 + 2 8y 2 y 100 - 9 y 10 1 3. The formula for the volume of a pyramid is V = 3 Bh, where B is the area of the base and h is the height. Rearrange the formula to solve for the height (h). Show all your steps/work. 4. a. Simplify: Show all of your work. 80 b. Use the Quadratic Formula to solve the equation x2 - 4x = -7. Show all of your work as well as the solutions 5. a. Solve the equation: b. Solve the equation: 6. Solve the equation: x +1 x = 7 14 Show all of your work/steps. 6 4 = x +5 x1 Show all of your work/steps. 5x = 3 Show all of your work/steps