Theme: Solve the equation...
  • For which system of equations is (2, 2) a solution? A. –3x + 3y = 0x + 6y = 10B. –2x + 5y = –64x – 2y = 4C. 5x – 2y = –63x – 4y = 2D. 2x + 3y = 104x + 5y = 18
  • Solve the equation on the interval [0,2pi). 2sin^2x=-3sinx+5
  • Allegra has a cell-phone plan that charges $65 per month and $0.10 for every minute that she uses the phone beyond what her plan allows. One month, she was billed $73.40. a. Define a variable for the unknown. b. Write an equation to model the problem. Explain your answer. c. Solve the equation. Show your work. d. Find the number of minutes that Allegra went over the time that the plan allows. Explain your answer.
  • The running time for movie A is 33 mins more than twice the running time for movie B. If the running time for movie A is subtracted from triple the running time for movie B, the result is 57 mins. find the running time for each movie. Movie A- Movie B-
  • Jambalaya is a Cajun dish made from chicken, sausage, and rice. Simone is making a large pot of jambalaya for a party. Chicken costs $6 per pound, sausage costs $3 per pound, and rice costs $1 per pound. She spends $42 on 13.5 pounds of food. She buys twice as much rice as sausage. How much chicken, sausage, and rice will she use in her dish? Can someone please show me how to make this into 3 algebraic equations. I should be good from there. I would really appreciate it.
  • The sum of the digits of a certain two-digit number is 7. Reversing its digits increases the number by 9. What is the number? I know that the answer is 34, and I know that one of the equations is x+y=7, but I do not know the other part to the system of equations.
  • A tank of water holding 528 kl of water begain to empty at a rate of 10 kl/min at the same time a another tank whitch is empty begins to fill at a rate of 14kl/min let k repreasens the number of kiloliters of water and let t repreasent time in min the system models the solution How long will it take for each tank to have the Same amount of water, and how much water will that be It will take __minitutes for both tanks to hold equal amounts of water. They will each hold ___ kiloliters.
  • The Multi -Step equations: 8x - 2 = -9 + 7x; 6 = 1 - 2n + 5; 4m - 4 = 4m
  • Solve this system of equation by substitution-2x-y=-95x-2y=18
  • Solve each system of equations. 6x + 5y = 10 7x - 3y = 24
  • solve these coin problems: 1) James bought 80 postage stamps for which he paid $18.40. Some were 1 cent stamps and some were 33 cent stamps. how many of each kind did he buy? 2) a postal clerk sold 75 stamps for $19.90. Some were 20 cent and some were 34 cent stamps. How many of each kind did he sell?
  • Which statement is true about the following system of equations?3x-1/2y=1x+2y=7
  • Solve each system by any method you choose. Which is the x-value of the solution? 7x + 4y + 7 = 2x + 6y + 5 + 4x -2x + 7y -1 = 13y + 2 - 5x - 10
  • X^4-30x^2+125=0 solve the equation by making an approproate substitution
  • y = x + 1 3x + y = 21
  • Find a common solution for each system of equations: y=3x+5 y=-5x-3
  • David helped his father stock the pond with baby catfish and blue gill. They put in a total of 75 fish. If the number of blue gill was doubled and the number of catfish tripled, there would be 175 fish in the pond. How many catfish were put in the pond?
  • Solve they system of equations by graphing x+2y=6, 2x+4y=36
  • Solve the system using any algebraic method. Show all your steps. 19. 2x-5y=3 -4x+10y= -6 20. 8x+3y=10 -6x + y = -12
  • Puzzle If a + b = 76a - b = 38a / b =?
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