Solving Equations
Special Cases
Vocabulary
Angle Relationships
Word Problems
100
-2j=-j-6
j=6
100
How many Solutions?
one, infinite or none
19 + 20f = 4(5f − 19) + 5f
One Solution
100
What is the name of this property a(b+c)=ab+ac
Distributive Property
100
What is the measure of x?
x=27o
100
A fence forms a rectangle and uses
64 meters of fencing. If the width of the
enclosed area is 13 meters, what is the
length?
19 meters
200
(t-3)/2=3
t=9
200
How many solutions?
One, Infinite or none
7 + 18m + 20 = 9(2m + 4) − 9
Infinite
200
A pair of opposite congruent angles form by intersecting lines.
Vertical Angles
200
What is the measure of x?
x=96o
200
Cathy earns $13.50 per hour for the first
40 hours worked in a week and $20.25
per hour for hours over 40.
If she earned $661.50 in one week, how
many hours did she work?
46 hours
300
7s-7(s+9)=-9s
s=7
300
Create an equation with infinite solutions.
The missing value is -7
300
Angles in the same plane that have a common vertex and common side.
Adjacent Angles
300
What is the angle relationship and solve for x.
These are complementary angles and x=6
300
The sum of two consecutive even integers
is 114. Let n be the smaller of the two
integers.
Write an equation that can be used to find the
two integers?
n + n + 2 = 114
400
j=-7/10
400
Create an equation with no solution
The missing value is -2
400
A mathematical expression that show two expressions are equal.
Equation
400
What is the angle relationship and solve for x. 
These are vertical angles and x=16
400
Edda has a poodle that weighs 7 pounds and gains 1 pound per year. Walden has a young sheltie that weighs 2 pounds and gains 1 pound every 6 months. When will the two dogs weigh the same amount and how much will they weigh?
In 5 years, both dogs will weigh 12 pounds.
500
k=-9/2
500
Create an equation with no solution
The missing value is -4
500
If angles form a linear pair, they are also _________.
Supplementary
500
What is the measure of the two angles?
Hint-Solve for x first and then find the measure.
x=17 and the two angles are 105o and 750
500
Wally buys two books at a bookstore. He
spends $44.52 after 6% sales tax is
applied, but the clerk does not provide
him with a receipt. He knows that book
A costs $17.50 before sales tax.
What does book B cost before sales tax?
$24.50