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95 items match · Math · Nonlinear equations in one variable and systems of equations in two variables

Medium Math · Advanced Math · Nonlinear equations in one variable and systems of equations in two variables · MCQ figure

A 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 have?

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Easy Math · Advanced Math · Nonlinear equations in one variable and systems of equations in two variables · MCQ figure

Which of the following inequalities is equivalent to the inequality above?

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Medium Math · Advanced Math · Nonlinear equations in one variable and systems of equations in two variables · MCQ figure

If the ordered pair x comma y is a solution to the system of equations above, which of the following could be the value of x ?

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Medium Math · Advanced Math · Nonlinear equations in one variable and systems of equations in two variables · MCQ figure

What values satisfy the equation above?

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Easy Math · Advanced Math · Nonlinear equations in one variable and systems of equations in two variables · MCQ

x=49

y=x+9

The graphs of the given equations intersect at the point x,y in the xy-plane. What is the value of y ?

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Hard Math · Advanced Math · Nonlinear equations in one variable and systems of equations in two variables · SPR

24-x+34-x=25

What is the positive solution to the given equation?

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Hard Math · Advanced Math · Nonlinear equations in one variable and systems of equations in two variables · MCQ

x 2 - 2 x - 9 = 0

One solution to the given equation can be written as 1+k, where k is a constant. What is the value of k ?

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Hard Math · Advanced Math · Nonlinear equations in one variable and systems of equations in two variables · SPR

In the x y -plane, a line with equation 2 y = 4.5 intersects a parabola at exactly one point. If the parabola has equation y = - 4 x 2 + b x , where b is a positive constant, what is the value of b ?

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Hard Math · Advanced Math · Nonlinear equations in one variable and systems of equations in two variables · MCQ figure

Which ordered pair is a solution to the system of equations above?

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Easy Math · Advanced Math · Nonlinear equations in one variable and systems of equations in two variables · MCQ

6r=7s+t

The given equation relates the variables r , s , and t . Which equation correctly expresses s in terms of r and t ?

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Hard Math · Advanced Math · Nonlinear equations in one variable and systems of equations in two variables · MCQ figure

If x is a solution to the given equation, which of the following is a possible value of x plus 5 ?

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Hard Math · Advanced Math · Nonlinear equations in one variable and systems of equations in two variables · SPR figure

During a 5-second time interval, the average acceleration a, in meters per second squared, of an object with an initial velocity of 12 meters per second is defined by the equation a equals, the fraction with numerator v subscript f, end subscript, minus 12, and denominator 5, where vf is the final velocity of the object in meters per second. If the equation is rewritten in the form vf = xa + y, where x and y are constants, what is the value of x ?

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Easy Math · Advanced Math · Nonlinear equations in one variable and systems of equations in two variables · MCQ

y = 76
y = x 2 - 5

The graphs of the given equations in the xy-plane intersect at the point (x,y). What is a possible value of x ?

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Medium Math · Advanced Math · Nonlinear equations in one variable and systems of equations in two variables · MCQ

7m=5n+p

The given equation relates the positive numbers m , n , and p . Which equation correctly gives n in terms of m and p ?

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Hard Math · Advanced Math · Nonlinear equations in one variable and systems of equations in two variables · MCQ figure

Which of the following is a solution to the equation above?

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Hard Math · Advanced Math · Nonlinear equations in one variable and systems of equations in two variables · SPR

In the xy-plane, a line with equation 2 y = c for some constant c intersects a parabola at exactly one point. If the parabola has equation y = - 2 x 2 + 9 x , what is the value of c ?

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Easy Math · Advanced Math · Nonlinear equations in one variable and systems of equations in two variables · MCQ figure

  • For the curve in the system:
    • Moving from left to right:
      • The curve passes from quadrant 2 to quadrant 1.
      • In quadrant 2, the curve trends up gradually to point (0 comma 3.25).
      • In quadrant 1, the curve trends up sharply.
    • The curve passes through the following points:
      • (1 comma 3.5)
      • (2 comma 4)
      • (4 comma 7)
  • For the line in the system:
    • The line slants gradually up from left to right.
    • The line passes through the following points:
      • (2 comma 4)
      • (7 comma 7.5)

The graph of a system of a linear equation and a nonlinear equation is shown. What is the solution x,y to this system?

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Medium Math · Advanced Math · Nonlinear equations in one variable and systems of equations in two variables · MCQ figure

What is the product of the solutions to the given equation?

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Medium Math · Advanced Math · Nonlinear equations in one variable and systems of equations in two variables · MCQ figure

What is the solution to the equation above?

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Hard Math · Advanced Math · Nonlinear equations in one variable and systems of equations in two variables · SPR

x - 2 2 = 3 x + 34

What is the smallest solution to the given equation?

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Medium Math · Advanced Math · Nonlinear equations in one variable and systems of equations in two variables · SPR figure

If the ordered pair x comma y satisfies the system of equations above, what is one possible value of x ?

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Medium Math · Advanced Math · Nonlinear equations in one variable and systems of equations in two variables · MCQ figure

An oceanographer uses the equation s equals, three halves p 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 period of the wave in terms of the speed of the wave?

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Easy Math · Advanced Math · Nonlinear equations in one variable and systems of equations in two variables · MCQ figure

Which of the following is a solution to the equation 2 x squared, minus 4, equals x squared ?

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Easy Math · Advanced Math · Nonlinear equations in one variable and systems of equations in two variables · MCQ

q-29r=s

The given equation relates the positive numbers q , r , and s . Which equation correctly expresses q in terms of r and s ?

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Hard Math · Advanced Math · Nonlinear equations in one variable and systems of equations in two variables · MCQ

57x2+(57b+a)x+ab=0

In the given equation, a and b are positive constants. The product of the solutions to the given equation is kab, where k is a constant. What is the value of k ?

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