Chapter 4
4-1 Solving Percent Problems.
Vocab:
Date _________
Percent is of -
 When working with percents,
 If an item is discounted x%, then
 If an item is marked up or taxed x%, then
Ex. 1) 7% of what number is 91?
Ex. 2) What % of 160 is 38.4?
Ex. 3) A dishwasher normally costs $320, but it is on sale for 15% off, what is the
sale price?
4-2 Horizontal and Vertical Lines.
Vocab:
Date _________
Horizontal Line -
Vertical Line -
Ex. 1) Graph and label the following.
a. y  2
b. x  2
c. y  4
d.
x  4
Ex. 2) At the beginning of a Vacation, Josh has $900 in his savings account. As
long as he has $300 in his account, he doesn’t have to pay a service fee. Each day
he will withdraw $50. How many days can he withdraw money until he has to pay
a fee?
4-3 Using Tables & Graphs to Solve.
Date _________
Ex. 1) Acme Copiers offer a copier for $250 per month plus $.01 per copy. Best
Printers offer a copier for $70 per month plus $.03 per copy. If you were to rent
from Acme, how many copies would you need to make in order to break even with
someone that rents from Best Printers?
X
Acme
Best
4-4 Solving Ax + B = Cx + D.
Date _________
Ex. 1) 16x  5  10x 19
Ex. 2) 7   x  5  4  x  11
Ex. 3) If the perimeter of the triangle is equal to the perimeter of the square, find
the length of side A of the triangle.
4x+7
3x+2
A
B
C
2x+3
3x
4-5 Solving Ax + B < Cx + D.
Review:
Date _________
When do we flip the inequality sign?
We should put the variable on what side of the inequality?
Open circle is used for what symbols?
Closed circle is used for what symbols?
Ex. 1) 6  9x  5x 1
Ex. 3) 9  4  x  2  10 x
Ex. 2) 2t  38  5  t  1
Ex. 4) 7a  4  3a  28
4-6 Always & Never Situations.
Date _________
What happens when the variable cancels out?
Look to see if the statement is true.
True
Solution is all real #’s
False
No Solution
Solve the following problems.
Ex. 1) 18m  20  3m  3 7m  2
Ex. 2) 42k  80k  6  38k
Solve the following problems by graphing.
Ex. 3) 4s  2  4s  3
Ex. 4) 3b 1  3  b 1  5
4-7 Equivalent Formulas.
F  1.8C  32
Date _________
F in terms of C, solved for F, C is the variable
9
Ex. 1) F  C  32 , solve for C.
5
1 2
Ex. 2) V   r h , solve for h.
3
h
Ex. 3) 5 x  2 y  100 , is the equation of a line written in Standard Form, re-write in
Slope-Intercept Form. (solve for y)
4-8 Compound Inequalities.
Vocab:
Date _________
Compound Sentence -
+ Notation What do the words And and Or mean?
And – Intersection, if given two sets A and B, A  {0, 2, 4} and B  {1, 2,3, 4}
What is A B ?
Or – Union, if given two sets A and B, A  {0, 2, 4} and B  {1, 2,3, 4}
What is A B ?
Graph the following.
Ex. 1) x  1 And x  5
Ex. 3) 8  5m  4  19
Ex. 2) x  5 Or x  7
4-9 Solving Absolute Value Equations/Inequalities.
Date _________
How to solve x  c :
 If c is Positive, then x  c and x  c
 If c is Negative, then No Solution
 If c is Zero, then x  0
Ex. 1) 2 x  3  7
Ex. 2) 2 x  3  7
Solving x  c :
Solving x  c :
(c is positive)
(c is positive)
c  x  c
x  c or x  c
Ex. 4) 8x  24  40
Ex. 5) x  5  10
Ex. 3) 2 x  3  0
x
Ex. 6)  3  2
2