Linear Equations
Solve the equation:
2x + 3 = 9
x=3
Solve the system of equations:
2x + y = 10
3x - y = 5
(3, 4)
What are the solutions of the quadratic equation x2 - 5x + 6 = 0?
x=2 and x=3
Simplify the expression:
2x + 3x - 6x
-1x
Determine if the relation is a function:
(1, 3), (2, 4), (1, 4), (3, 6)
Not a function
Solve the equation:
-4x + 5 = -3x + 7
x=-2
Determine the solution to the system of equations
y = 2x + 1
y = - x + 4
(1,3)
Find all roots:
x2 + 7x + 10
x= -5 x = -2
Find the degree of the polynomial:
2x2 - 3x4 - 6
4
Evaluate the function
f(x) = -2x - 1 for x = 3
-7
Solve the equation:
4(y - 3) = 16
y=7
Solve the system of equations:
6x - 2y = 8
2x - y = 3
(1,-1)
Find the vertex:
y = -x2 + 8x + 2
(4,18)
Factor:
x2 + 5x + 6
(x+2)(x+3)
Evaluate the function
f(x) = -3x2 + 4x - 6 for x = -2
-26
Solve the equation:
2(3x - 4) = 10 + 4x
x=9
Solve the system of equations using substitution method:
y = 5 - 2x
x + 3y = 20
(-1,7)
Find the vertex:
y = x2 - 4x + 3
(2,-1)
Multiply:
(x + 2)(x - 3)
x2 - x - 6
What is the slope of the line passing through the points (2, 4) and (6, 10)?
1.5
Solve the equation:
8 - 2(3x + 2) = 10 + 2(x -4)
x=.25
Solve the system of equations using elimination method:
3x + y = 1
2x - 3y = -25
(-2,7)
Find the axis of symmetry:
y = x2 - 6x + 1
x=3
Factor completely:
2x2 - 18
2(x+3)(x-3)
What is the slope of the line passing through the points (-2, -6) and (-6, 26)?
-8