Worksheet for linear and quadratic equations

Question 1

Quadratic Equations (Algebra 2, Easy)
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What value of x satisfies the system of equations:

             y = 2x − 1            (1)
             y = x2                  (2)

Question 2

Quadratic Equations (Algebra 2, General)
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What values of x satisfy the system of equations:

             y = 2x + 3          (1)
             y = 3x2 − 5        (2)

Question 3

Quadratic Equations (Algebra 2, Easy)
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What value of y satisfies the system of equations:

             y = -6x + 2              (1)
             y = x2 + 11              (2)

Question 4

Quadratic Equations (Algebra 2, General)
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What values of y satisfy the system of equations:

             y = -4x + 1     (1)
             y = 2x2 − 5     (2)

Question 5

Quadratic Equations (Algebra 2, General)
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What values of x satisfy the system of equations:

            x + y = 12                   (1)
            y = 5x2 − 20x + 8        (2)

Question 6

Quadratic Equations (Algebra 2, General)
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What values of x satisfy the system of equations:

           3x − 4y = 12          (1)
           y = x2 − 16            (2)

Question 7

Quadratic Equations (Algebra 2, Hard)
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What integer value of y satisfies the system of equations:

       5x − 4y − 22 = 0     (1)
       y = -3x2 + 4            (2)

Question 8

Quadratic Equations (Algebra 2, Hard)
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What values of x satisfy the system of equations:

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Question 9

Quadratic Equations (Algebra 2, Hard)
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What values of y satisfy the system of equations:

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Question 10

Quadratic Equations (Algebra 2, Easy)
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What is the point of intersection of the straight line y = 5x − 3 and the
parabola y = x2 + 3x − 2?

Question 11

Quadratic Equations (Algebra 2, Unranked)
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What are the points of intersection of the straight line y = -5x + 3 and the parabola
y = 2x2 − x − 3?

Question 12

Quadratic Equations (Algebra 2, Hard)
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What are the points of intersection of the straight line 3x + 2y = 6 and the parabola
y = -x2 + 10?

Question 13

Quadratic Equations (Algebra 2, Hard)
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Question 14

Quadratic Equations (Algebra 2, Hard)
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Question 15

Quadratic Equations (Algebra 2, Hard)
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