Solving Linear Equations
Solve:
5p + 11 = -19
p = -6
Find b:
y = 3x - 4
b = -4
How many solutions does a pair of parallel lines have?
No solution
What is the domain of all quadratic functions?
(-∞, ∞)
Solve:
p2 = 9
p = {-3, 3}
Solve:
18x + 5 = 12x + 11
x = 1
Find m:
y = -4/5 x +9
m = -4/5
How many solutions does a pair of lines that are exactly the same have?
Infinitely many solutions
What is the vertex of
f(x) = 2 (x - 5)2 - 8?
(5, -8)
Solve:
n2 - 5 = -4
n = {-1, 1}
Solve:
2 (x + 2) + 3x = -4 + 2x + 7
x = -1/3
Which type of line is
y = 7?
A horizontal line
How many solutions do two lines that meet at a point have?
One solution
What is the graph pattern of
f(x) = -3 (x + 6)2 + 4?
-3, -9, -15
Solve:
5x2 - 20 = 0
x = {-2, 2}
Solve:
-3x + 1 = -3(x - 1) - 2
Infinitely many solutions
Which type of line is
x = -1?
A vertical line
Solve by Substitution:
5x - 2y = 4
y = -x + 5
(2, 3)
What is the axis of symmetry of
f(x) = -2x2 - 12x - 10?
x = -3
Solve:
3x2 + 100 = 25
x = {-5i, 5i}
Solve:
-2 (v - 2) = -3 - 2v
No solution
Put y - 8x = 15 into
slope-intercept form.
y = 8x + 15
Solve by Substitution:
y = 6x - 11
-2x - 3y = -7
(2, 1)
Find the range of
f(x) = (x + 4)2 - 2.
[-2, ∞)
Solve:
10z2 - 10 = 470
z = {-4√ 3, 4√ 3}