# 1.3 &amp; 1.4 Solving Equations and Inequalities

```1.3 &amp; 1.4 Solving Equations and Inequalities
Solving Equations
Remember:
Get all variables on one side and all numbers on the other.
Distribute to EVERY TERM in the ( ).
“Undo” all operations by doing the opposite.
7 y  5  6 y  11
In groups!
101  2 y   52 y  1
More Examples
The width of a rectangle is 2 cm less than the length of the
rectangle. The perimeter of the rectangle is 76 cm. Find the
dimensions of the rectangle.
Solving for Variables without Numbers
variable expression instead of a number.
Solve for w.
V = lwh
When would this be useful?
Solve for g.
S = &frac12;gt2
More Examples
In groups!
BH-BK  L for B
x-5
 3  c - 10 for x
p
Inequalities
What do you remember about them?
How are they different than equations?
How many solutions do they have?
What is the one thing you have to watch out for when
multiplying or dividing by a negative?
Examples (Remember to graph on a number line!)
 3x  12  3
2 x  3  2 x  5
More Examples
In groups!
4 x  1  22 x  5
 1  3x  2  11
More Examples
6b  3  15 or 4b  2  18
1.3: 1, 9, 13, 17, 20, 23-27 odd, 31-35 odd, 3646 even
1.4: 9, 10, 15, 19, 21, 23, 25, 30, 31
3.7a&amp;Complex
Zeros;
the Fundamental
Theorem
1.3
1.4 Solving
Equations
and Inequalities
of Algebra
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