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Linear Equations in One Variable

Math · Algebra · 65 questions · every one comes with a full explanation.

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  1. 1A system of equations consists of a quadratic equation and a linear equation. The equations in this system are graphed in the xy-plane above. How many solutions does this system haMedium · Advanced Math
  2. 2If is a solution to the system of equations above, which of the following could be the value of x ?Medium · Advanced Math
  3. 3What values satisfy the equation above?Medium · Advanced Math
  4. 47m=5n+p The given equation relates the positive numbers m , n , and p . Which equation correctly gives n in terms of m and p ?Medium · Advanced Math
  5. 5If x is the solution to the equation above, what is the value of ?Medium · Algebra
  6. 6What is the product of the solutions to the given equation?Medium · Advanced Math
  7. 7What is the solution to the equation above?Medium · Advanced Math
  8. 8A tree had a height of 6 feet when it was planted. The equation above can be used to find how many years n it took the tree to reach a height of 14 feet. Which of the following is Medium · Algebra
  9. 92x+16=ax+8 In the given equation, a is a constant. If the equation has infinitely many solutions, what is the value of a ?Medium · Algebra
  10. 10If the ordered pair satisfies the system of equations above, what is one possible value of x ?Medium · Advanced Math
  11. 11In the given equation, b is a constant. If the equation has no solution, what is the value of b ?Medium · Algebra
  12. 12An oceanographer uses the equation to model the speed s, in knots, of an ocean wave, where p represents the period of the wave, in seconds. Which of the following represents the peMedium · Advanced Math
  13. 13p = k 4 j + 9 The given equation relates the distinct positive numbers p , k , and j . Which equation correctly expresses 4 j + 9 in terms of p aMedium · Advanced Math
  14. 14In the xy-plane, what is the y-coordinate of the point of intersection of the graphs of and ?Medium · Advanced Math
  15. 1514 j + 5 k = m The given equation relates the numbers j , k , and m . Which equation correctly expresses k in terms of j and m ?Medium · Advanced Math
  16. 16- 4 x 2 - 7 x = -36 What is the positive solution to the given equation?Medium · Advanced Math
  17. 17Which of the following is a solution to the given equation?Medium · Advanced Math
  18. 18In the equation above, a is a constant and . If the equation has two integer solutions, what is a possible value of a ?Medium · Advanced Math
  19. 195 x 2 - 37 x - 24 = 0 What is the positive solution to the given equation?Medium · Advanced Math
  20. 20z 2 + 10 z - 24 = 0 What is one of the solutions to the given equation?Medium · Advanced Math
  21. 21In the equation above, a and b are constants. If the equation has infinitely many solutions, what are the values of a and b ?Medium · Algebra
  22. 22An agricultural scientist studying the growth of corn plants recorded the height of a corn plant at the beginning of a study and the height of the plant each day for the next 12 daMedium · Algebra
  23. 23The speed of sound in dry air, v, can be modeled by the formula , where T is the temperature in degrees Celsius and v is measured in meters per second. Which of the following correMedium · Advanced Math
  24. 24p = 20 + 16 n The given equation relates the numbers p and n , where n is not equal to 0 and p>20. Which equation correctly expresses n in terms of p ?Medium · Advanced Math
  25. 25If 5x+4=4x+4+29, what is the value of x+4?Medium · Algebra
  26. 26y=x-2x+4 y=6x-12 Which ordered pair x,y is the solution to the given system of equations?Medium · Advanced Math
  27. 2717b=11xy The given equation relates the positive numbers b , x , and y . Which equation correctly expresses x in terms of b and y ?Medium · Advanced Math
  28. 28What value of p is the solution of the equation above?Medium · Algebra
  29. 29Blood volume,, in a human can be determined using the equation , where is the plasma volume and H is the hematocrit (the fraction of blood volume that is red blood cells). Which ofMedium · Advanced Math
  30. 30If , what is the value of ?Medium · Algebra
  31. 31-54w=6 What is the solution to the given equation?Medium · Advanced Math
  32. 32If one solution to the system of equations above is , what is one possible value of x ?Medium · Advanced Math
  33. 33If 2(3t-10)+t=40+4t, what is the value of 3t?Medium · Algebra
  34. 34A solution to the given system of equations is . Which of the following is a possible value of xy ?Medium · Advanced Math
  35. 35If a is a solution of the equation above and , what is the value of a ?Medium · Advanced Math
  36. 36In a city, the property tax T, in dollars, is calculated using the formula above, where P is the value of the property, in dollars. Which of the following expresses the value of thMedium · Advanced Math
  37. 37The formula above expresses the square of the speed v of a wave moving along a string in terms of tension T, mass m, and length L of the string. What is T in terms of m, v, and L ?Medium · Advanced Math
  38. 38If (x, y) is a solution of the system of equations above and x > 0, what is the value of xy ?Medium · Advanced Math
  39. 39Megan's regular wage at her job is p dollars per hour for the first 8 hours of work in a day plus 1.5 times her regular hourly wage for work in excess of 8 hours that day. On a givMedium · Algebra
  40. 4055 x + 6 = x What is the positive solution to the given equation?Medium · Advanced Math
  41. 41What are the solutions to the given equation?Medium · Advanced Math
  42. 4266x=66x How many solutions does the given equation have?Medium · Algebra
  43. 43y = x 2 + 14 x + 48 x + 8 = 11 The solution to the given system of equations is x,y. What is the value of y ?Medium · Advanced Math
  44. 44The width of a rectangular dance floor is w feet. The length of the floor is 6 feet longer than its width. Which of the following expresses the perimeter, in feet, of the dance floMedium · Algebra
  45. 45If , what is the value of ?Medium · Algebra
  46. 46When the equations above are graphed in the xy-plane, what are the coordinates (x, y) of the points of intersection of the two graphs?Medium · Advanced Math
  47. 47If 4x-4=112, what is the positive value of x - 1 ?Medium · Advanced Math
  48. 4814x+5-13x+5=-7 What value of x is the solution to the given equation?Medium · Algebra
  49. 4938x2=389 What is the negative solution to the given equation?Medium · Advanced Math
  50. 50In the equation above, a and c are positive constants. How many times does the graph of the equation above intersect the graph of the equation in the xy-plane?Medium · Advanced Math
  51. 51A candle is made of 17 ounces of wax. When the candle is burning, the amount of wax in the candle decreases by 1 ounce every 4 hours. If 6 ounces of wax remain in this candle, Medium · Algebra