Theme: How many solutions...
  • Determine how many solutions exist for the system of equations. Y=2x-9 Y=-x+6
  • me I dont under stand these. like right now. How many solutions are there to the following system of equations? 3x – 9y = 0 –x + 3y = –3 A. infinitely many B. 1 C. 2 D. 0 - What is the solution to the system of equations? 2x + y= -3 x - 2y= -4 (___,___) - In a recent golf match, Tiger’s score was 4 less than Phil’s score. Their combined scores totaled 140. Let p represent Phil’s score and t represent Tiger’s score. Which pair of equations can be used to determine their scores? A. p – t = 140 p + t = 4 B. p + 140 = t p = 4C. p + t = 140 p – t = 4 D. p + t = 140 p + t = 4(i think this one is C) - The system of equations is coincident. What are the missing values? 3x + y= 7 9x + __ y= __ - Allison and her husband Noah both get in their cars and begin to drive at the same time. Allison starts 360 mi from their home and drives directly home at a constant rate of 50 mph. Noah starts at their home and drives away from the home at a constant rate of 40 mph. The system that models this situation is given, where d represents the distance from home, and t represents time, in hours. The solution to the system is (4, 160). What is the correct interpretation of the solution to this system? d = 360 - 50t d =40t A. Noah will be 160 mi from home and Allison will be 4 mi from home. B. Allison and Noah will both be 160 mi from home after 4 h. C. Noah will be 4 mi from home and Allison will be 160 mi from home. D. Allison and Noah will both be 4 mi from home when they drive for 160 min. - me I dont understand these.
  • Evaluate the discriminant of each equation. Tell how many solutions each equation has and whether the solutions are real or imaginary x^2 + 4x + 5 = 0 x^2 - 4x - 5 = 0 4x^2 + 20x + 25 = 0
  • How many solutions does the equation a|x+b|+c=d have if a>0 and c=d? then if a <0and c> d?
  • How many solutions does the equation have? 4x+2(x-3)=8x+12 A. one solution B. infinite solutions C. no solution
  • How many solutions does the system have? y = –2x + 2 y = x2 – 3x
  • How many solutions does the system 2y=10x-14 and 5x-y=7 have?
  • how many solutions does 2x-y=-5 and 2x+y=5 have?
  • How many solutions does the equation have? 4(2x + 3)= 2(3x-4) A. one solution B. Infinite solutions C. no solution
  • How many solutions does 2(2x-10)-8=-2(14-3x)
  • How many solutions are there to the equation y = 14x – 9? Explain your answer. A. There are no solutions because no value can be used for the variable x for the equation to remain true. B. There is one solution because only one value can be used for the variable x for the equation to remain true. C. There are 2 solutions because only 2 values can be used for the variables for the equation to remain true. D. There are an infinite number of solutions because any value can be used for the variable x and the equation would remain true.
  • How many solutions exist for the given equation? 0.75(x + 40) = 0.35(x + 20) + 0.35(x + 20)
  • Charlie solved an equation, as shown below: Step 1: 5x = 30 Step 2: x = 30 – 5 Step 3: x = 25 Part A: Is Charlie’s solution correct or incorrect? If the solution is incorrect, explain why it is incorrect and show the correct steps to solve the equation. Part B: How many solutions will this equation have?
  • How many solutions does each equation have. a) 4y – 4y – 12 = 14 – 2 b) –3y + 3y + 4 = 4 c) 3x + 6 = –1 – 3 + 4x
  • How many solutions does the equation 9x+27=27 have?
  • How many solutions does this system have? Y = x + 5 Y = -5x – 1 A) One B) None C) Infinite D) Two
  • Maria’s family drove 140 miles to her grandparents’ house and averaged 56 mi/h on the way there. On the return trip, they averaged 50 mi/ hr. What was the total time Maria’s family spent driving to and from her grandparents’ house? A. 2.5 h B. 2.6 h C. 5.2 h D. 5.3 h
  • How many solutions does the equation y + 12 = y + 10 + 2 have?
  • How many solutions does the equation 5x + 3x − 4 = 10 have
  • Solve for x. 9x = 3x − 36
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