1 . Expand 3x(x + y^2 + 2xy) 2. Factor x^2+xy^3-2xy 3. Solve for m :4m-3 =-m +7

Question

1 . Expand 3x(x + y^2 + 2xy) 2. Factor x^2+xy^3-2xy 3. Solve for m :4m-3 =-m +7 4. Solve for t: 2 leq 2t-6 leq 4 5. Indicate the slope: 16x+2y= 9 6. Change f(x)=-x^2+12x-11 into vertex form and find range. 7. Find the domain: f(x)=x-1/square root 12-3x g(x)=x^2+2x + 1 8. Solve for x :(x+5)^5= (x^2-3x)^5 9. Break-even analysis. A milk factory has fixed cost $5000 and a variable cost of $3.0 per gallon of milk. One gallon milk is sold at $5.0. How many gallons of milk should the factory produce to break even? Formulas and values you may needed in the exam (in the back)

Explanation / Answer

Let x = no. of units produced and sold
Revenue = 5x
Cost = 5000 + 3x
Break-even occurs when Revenue = cost
5x = 5000 + 3x
2x = 5000
x = 2500
x = 2500 gallon to break-even

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