Linear Equations and Inequalities
4x+7=19
x=3
Find the slope of the line through (-2,4) and (3,-1)
m=-1
x2+7x+10
(x+5)(x+2)
Solve:
x2−36=0
x=±6
Evaluate:
f(x)=3x−4
Find f(5).
11
(2x-3)/5=7
x=19
Write the slope-intercept equation of the line through (0,2) with slope -3.
y=-3x+2
3x(4x-5)
Solve by factoring:
x2+7x+12=0
x= -3,-4
Evaluate:
h(x)=2∣x−3∣
Find h(−1).
8
5x-8=3x+6
x=7
Find the equation of the line parallel to y=2x+5 passing through (1,−3).
y=2x-5
Factor by grouping:
x3+3x2+2x+6
(x2+2)(x+3)
Solve by completing the square: x2+6x+4=0
x=−3±√5
Find the domain of
g(x)=1/x+6
All real except x=-6
3(2x-4)-5=x+10
x=5
Solve by Substitution:
y=x+4
2x+y=10
(2,6)
Factor completely:
49y2−25
(7y−5)(7y+5)
Solve:
(x−2)2=20
x=2±2√5
Find the domain of
f(x)=√(x−2)
[2,∞)
Solve and graph:
2x+3>9 and x-4<2
3<x<6
A theater sells tickets: $6 for children, $10 for adults. If 150 tickets were sold for $1260, how many of each?
90 children
60 adults
Factor:
x4−9x2
x2(x−3)(x+3)
Solve using quadratic formula:
2x2−3x−7=0
x=3±√65/4
Given the graph of a function, identify:
(a) one x-value where f(x)=0
(b) the value of f(2)
(Show on board if needed)
x=-2, 2
f(2)=0