SAT OwlQuestion bank / Advanced Math
SAT Nonlinear equations in one variable and systems of equations in two variables practice questions
Solve quadratics, radical and rational equations, and systems where a line meets a curve. Below are 20 free practice questions sorted from easy to hard. Open one to answer it and see the explanation.
Practice this skill with a tutor. SAT Owl picks nonlinear equations in one variable and systems of equations in two variables questions at your level and explains every miss. Practice Nonlinear equations in one variable and systems of equations in two variables free
Question 1
What is the positive solution to the equation x^2 = 49?EasyQuestion 2
What are the solutions to the equation (x - 4)(x + 9) = 0?EasyQuestion 3
What value of x satisfies the equation x + 5 = 4?EasyQuestion 4
What is the positive solution to the equation 2x^2 - 18 = 0?EasyQuestion 5
What are the solutions to the equation x^2 + 5x + 6 = 0?EasyQuestion 6
What value of x satisfies the equation 12x = 32?EasyQuestion 7
y = x^2 y = 4x - 4 What is the solution (x, y) to the system of equations above?MediumQuestion 8
What is the sum of the solutions to the equation x^2 - 10x + 21 = 0?MediumQuestion 9
What is the solution to the equation 2x + 3 = x?MediumQuestion 10
What value of x satisfies the equation 3x - 2 = 6x + 1?MediumQuestion 11
y = x^2 - 3 y = 2x Which of the following is a solution (x, y) to the system of equations above?MediumQuestion 12
What is the sum of the solutions to the equation |2x - 5| = 9?MediumQuestion 13
What are the solutions to the equation x^2 + 8x = 9?MediumQuestion 14
The length of a rectangle is 3 centimeters greater than its width. The area of the rectangle is 70 square centimeters. WMediumQuestion 15
In the equation 2x^2 + kx + 8 = 0, k is a constant. If the equation has no real solutions, which of the following could HardQuestion 16
y = x^2 + 4 y = mx In the system of equations above, m is a positive constant. If the system has exactly one solution, wHardQuestion 17
y = -x^2 + 6x - 5 y = k In the system of equations above, k is a constant. For which of the following values of k does tHardQuestion 18
How many solutions does the equation xx - 3 + 2 = 3x - 3 have?HardQuestion 19
If a and b are the solutions to the equation 3x^2 - 12x + 5 = 0, what is the value of ab + a + b?HardQuestion 20
x^2 + y^2 = 25 y = x + 1 The system of equations above has two solutions. If (a, b) is the solution with a < 0, what is Hard
What is the positive solution to the equation x^2 = 49?EasyQuestion 2
What are the solutions to the equation (x - 4)(x + 9) = 0?EasyQuestion 3
What value of x satisfies the equation x + 5 = 4?EasyQuestion 4
What is the positive solution to the equation 2x^2 - 18 = 0?EasyQuestion 5
What are the solutions to the equation x^2 + 5x + 6 = 0?EasyQuestion 6
What value of x satisfies the equation 12x = 32?EasyQuestion 7
y = x^2 y = 4x - 4 What is the solution (x, y) to the system of equations above?MediumQuestion 8
What is the sum of the solutions to the equation x^2 - 10x + 21 = 0?MediumQuestion 9
What is the solution to the equation 2x + 3 = x?MediumQuestion 10
What value of x satisfies the equation 3x - 2 = 6x + 1?MediumQuestion 11
y = x^2 - 3 y = 2x Which of the following is a solution (x, y) to the system of equations above?MediumQuestion 12
What is the sum of the solutions to the equation |2x - 5| = 9?MediumQuestion 13
What are the solutions to the equation x^2 + 8x = 9?MediumQuestion 14
The length of a rectangle is 3 centimeters greater than its width. The area of the rectangle is 70 square centimeters. WMediumQuestion 15
In the equation 2x^2 + kx + 8 = 0, k is a constant. If the equation has no real solutions, which of the following could HardQuestion 16
y = x^2 + 4 y = mx In the system of equations above, m is a positive constant. If the system has exactly one solution, wHardQuestion 17
y = -x^2 + 6x - 5 y = k In the system of equations above, k is a constant. For which of the following values of k does tHardQuestion 18
How many solutions does the equation xx - 3 + 2 = 3x - 3 have?HardQuestion 19
If a and b are the solutions to the equation 3x^2 - 12x + 5 = 0, what is the value of ab + a + b?HardQuestion 20
x^2 + y^2 = 25 y = x + 1 The system of equations above has two solutions. If (a, b) is the solution with a < 0, what is Hard