Linear Equations and Systems of Linear Equations
This is the equation for a line with a slope of 3 and a point: (—4, 1)
What is y = 3x + 13?
Multiply the two matrices:
[ 2 15] [-5 12]
[-3 10] [ 1 0 ]
What is
[ 5 24]
[25 -36]
This is the solution to x2 + 11x + 24 = 0
What is x = -3, -8 ?
Simplify (2/3)2•(6xy-1)3
What is 96x3y-3 ?
or (96x3)/(y3)
Let f(x) = 2x - 4 and g(x) = x - 2.
This is f(x) + g(x)
What is 3x - 6 ?
This is the equation for a line through points (3, -8) and (8, 2)
What is y = 2x - 14?
[6 -1]
[2 1]
What is 12?
This is the standard form of the following complex number expression:
(3 + 10i)(4 - 9i)
What is 102 + 13i?
This is the distributed and simplified form for the following polynomials:
(x3+ 3)(3x3 + x2 + 1)
What is 3x6 + x5 +10x3 +3x3 +3?
Let f(x) = 2x - 4 and g(x) = x - 2.
This is f(x) - g(x)
What is x - 2?
Are these two lines perpendicular?
y = 2x + 1
(1/2)x + y = -3
Yes: slopes of 2 and -1/2.
This is the determinant of
[3 1 0]
[2 1 1]
[0 3 4]
What is -5?
This is the solution to the quadratic equation (solve by completing the square)
x2 + 4x = 3
What is x = -2 + 71/2 and -2 - 71/2 ?
Factor and find the real-number solutions of the equation:
x4 - 6x2 = 27
What is x = 3, -3 ?
Let f(x) = 2x - 4 and g(x) = x - 2.
This is f(x) • g(x)
What is 2x2 - 8x + 8 ?
Solve the system of equations using any method:
9x - 5y = -30
x + 2y = 12
What is (0, 6)?
This is the inverse of
[2 3]
[7 11]
What is
[3/4 -1/2]
[-1/4 1/2]
This is the vertex form and the vertex of the following quadratic function:
y = x2 - 8x + 17
What is y = (x - 4)2 + 1
Vertex: (4, 1)
Use synthetic division to divide
(x3 + 2x2 - 57x + 54) / (x + 9)
What is x2 - 7x + 6 ?
Let f(x) = 2x - 4 and g(x) = x - 2.
This is f(x) / g(x)
Solve the system of equations using any method:
2x + 3y = -7
-4x - 5y = 13
What is (-2, -1)?
This is the inverse of
[-3 6]
[ 2 -4]
What is none: the determinant is zero
This is the solution to the equation
x2 - 8x + 5 = 0
(300 bonus points if you stand on your chairs and sing the quadratic formula)
What is 4 + 111/2, 4 - 111/2 ?
Write a quadratic function in intercept form whose graph has the given x-intercepts and passes through the given point:
x-intercepts: 4, 0 and point (1, -6)
What is y = 2x(x - 4) ?
Let f(x) = 2x - 4 and g(x) = x - 2.
This is f(g(x))
What is 2x - 8 ?