Section 1.4
_____________________________________________________
Term
2 x,
8 xy ,
Literal factors
3 xy 2 ,
 4a 2 b 3 c ,
z
Numerical Coefficient
Similar, Like Terms
Example 1 – Simplify:
a) 4  x  2   3  x  6 
b) 5  y  3  2  y  8 
Example 2 – Simplify:
a) 5  x  y    x  y 
b) 3  2 x  5 y   4  3 x  2 y 
Example 3 – Evaluate:
a) 3 x  4 y when x  2 and y  3
b) x 2  2 xy  y 2 when x  2 and y  5
Example 4 - Evaluate:
2
a)  a  b  when a  6 and b  2
b)
 3 x  2 y  2 x  y 
when x  4 and y  1
Example 5 - Evaluate:
a) 7 x  2 y  4 x  3 y when x 
1
2
and y 
2
3
b) 2  3 x  1  3  4 x  3 when x  6.2
Example 6 – Evaluate:
a) 2 a 2  1  3 a 2  5  4 a 2  1 when a  10

 
 

Addition
Subtraction
Multiplication
Division
sum
minus
times
quotient
more than
less than
product
divided by
plus
decreased by
of
ratio
increased by
difference
twice
added to
subtracted from
multiply by
Example 7 – Combination
Four more than three times a number
5 less than twice a number
3 times the sum of a number and 12
2 more than the quotient of a number and 12
7 times the difference of 6 and a number
Example 8
Sonya can keyboard 65 words per minute. How many words can
she keyboard in m minutes.
Example 9
Russ has n nickles and d dimes. Express this amount in cents.
Example 10
The cost of a 50-pound sack of fertilizer is d dollars. What is the
cost per pound for the fertilizer?
Example 11
The distance between two cities is k kilometers. Express this
distance in meters (1 kilometer = 1000 meters)
Example 12
The length of a rope is y yards and f feet. Express this length in
inches. (12 inches = 1 foot, 3 feet = 1 yard)
Example 13
Then length of a rectangle is l centimeters, and the width is w
centimeters. Express the perimeter of the rectangle in meters.
(1 centimeter = 0.01 meter)