Fun with Equations
Solve: 4x + 7 = 31
x = 6
Algebra: Is this a function: {(1, 2), (2, 3), (2, 4)}
Algebra: No
Algebra: What is the point-slope form of a linear equation:
Algebra: y - y1 = m(x - x1)
Find the x- and y-intercept of the
line 2x + 3y = –18
x-intercept is –9; y-intercept is –6.
Solve |3x - 1| = 14
x = 5 and
x=-13/3
Solve: 2(3x - 4) = 34
x = 7
Write the polynomial in standard form
4g – g3 + 3g2 – 2
-g3 +3g2 + 4g - 2
Tell whether the lines for each pair of equations are parallel, perpendicular, or neither.
y = 7x – 4 y = 7x - 3
Parallel
Algebra: What is the slope intercept formula?
algebra: y=mx+b
The x-intercepts of the graph of
y=x^2+3x-28
What are x = -7 and x = 4?
Solve: 3(x + 1) - 2x = 21
x = 18
Find the vertex of the quadratic equation.
x2 + 4x + 8
(-2, 4)
Tell whether the lines for each pair of equations are parallel, perpendicular, or neither.
7x – 4y = 4 x – 4y = 3
neither
Solve by substitution:
y = 3x + 1
2x + y = 11
(2, 7) or x = 2, y = 7
What is the axis of symmetry of the graph of y=x2-6x-1?
x = 3
Solve: x3 - 9x2 + 20x = 0
x(x-4)(x-5)=0
x = 0, x = 4, x = 5
Expand (x – 6)(2x2 + 5x + 1)
2x3 - 7x2 - 29x - 6
Solve: x2 + 5x - 14 = 0
x = -7, x = 2
Divide:
(x3 + 2x2 - 3x - 10) ÷ (x - 2) = ?
x2 + 4x + 5
What is the end behavior of the polynomial?
-5x4 + 3x3 - 2x2 + 14x - 11
Falls on the left, falls on the right
(Down and Down)
Write the point slope form of the linear equation for the line passing through (3,9) (5,4)
y - 9 = -5/2(x - 3)
or y - 4 = -5/2(x - 5)
Simplify: (3+5i)(1-3i)
18 - 4i