Systems of Equations
Linear Equations
Quadratics
Complex numbers
Graphing
100
y = 55
What is the y value for: x+5y= 350 x= 75
100
b = 0
What is the b term of a linear equation that passes through (0,0) with a slope of 2?
100
-b/2a is the x-coordinate of the quadratic's vertex. It is also the axis of symmetry.
What does -b/2a represent in a quadratic equation?
100
i = √-1
What is i equal to?
100
y=4(x-1)+2
What is the equation of a line in point-slope form that passes through the point (1,2) and is parallel to the line y=4x+7 ?
200
x = 42 and y = 67
What are the values of x and y for 3x+y= 193 2x= 84
200
slope = 4
What is the slope of a line that passes through the points (8,16) and (5, 4) ?
200
Vertex = (3, 2)
What is the vertex of the function: 3x^2 - 18x + 29 ?
200
√-32 = 4i√2
What is the square root of -32?
200
x = 1, y = 1, z = 1
What are the x, y, and z values for: 3x - y + z = 3 x + y + 2z = 4 x + 2y + z = 4
300
x = -5 and y = 2
What are the x and y values for: 2x+7y= 4 3x+5y=-5
300
y=6x-64
What is the equation of a line that is parallel to the line y=6x-5 and passes through the point (12, 8) ?
300
x = -1, and x = -3/4
What are the solutions of 4x^2 + 7x + 3 ? (solve by factoring)
300
7 - 7i
What is the simplified form of (5-3i) - (-2+4i) ?
300
x = 2 + √2, x = 2 - √2
What are the solutions for 3x^2 - 12x + 6 ? (Solve using the quadratic formula)
400
x = 3, y = 3, z = 1
What are the x, y, and z values for: 2x - y + z = 4 x + 3y - z = 11 4x + y - z = 14
400
y = 4/3x + 26/3
What is the equation of a line that passes through (7,18) and is perpendicular to a line that has a slope of -3/4?
400
x = 8, x = 2
What are the solutions of x^2 - 10x + 16 ? (Solve by completing the square).
400
23 - 2i
What is the product of (2-3i)(4+5i) ?
400
(4/3) + (152/63)i
What is the product of (3 - (5/9)i) × ((2/7) + (6/7)i) ?
500
x = 6, y = 35, z = 84
What are the x, y, and z values for: 7/2x + 2/5y -3z= -217 4/3x + 6/7y -8/21z= 6 5x + 3y - 7/4z= -12
500
y = -3/5x + 37/3
What is the equation of a line that passes through (6,11) and is perpendicular to a line that passes through the points (4,8) and (7,13) ?
500
x = (5 + √10) / 3, x = (5 - √10) / 3
What are the solutions of 3x^2 - 10x + 5? (Solve using the quadratic formula.)
500
(-4i - 1) / 6
What is the quotient of (4-i) / 6i ?
500
x = (1 + i√11) / 2, x = (1 - i√11) / 2
What is the solution of 2x^2 - 2x + 6? (Solve by completing the square)
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