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Transcript 
THE “GRUDGE” GAME
Vocabulary
Application Problems
Solving Equations
Write your group name on the board
and put 10 x’s underneath it.
(You also may need your notes)
Example:
Team Math
XXXXXXXXXX
READY?
Let’s play!
Vocabulary
•Problem solving technique
with four steps
•UPSC
Vocabulary
•A list of numbers in which
consecutive numbers share
a common difference.
•Arithmetic Sequence
Vocabulary
•A symbol for a number we
don’t know yet, it is usually a
letter.
Variable
Vocabulary
•Any and all values of an
equation that satisfies an
equation.
•Solution
Vocabulary
•A group of similar things or
people positioned or
occurring closely together.
•Cluster
Vocabulary
•A list of numbers in which
consecutive numbers share
a common ratio.
•Geometric Sequence
Vocabulary
•An algebraic statement
describing the relationship
between the input variables
and output variables.
•Formula
Vocabulary
•A reduction in the value of
an asset with the passage of
time, due in particular to
wear and tear.
•Depreciation
Solve the Equation
−20 = −4𝑥 − 6𝑥
𝑥=2
Solve the Equation
𝑝 − 1 = 5𝑝 + 3𝑝 − 8
𝑝=1
Solve the Equation
2
𝑚𝑣
𝐹=
𝑟
where m = 300, v = 50, and
r = 250 and F = ?
F=3,000
Application Problem
• You are a sales associate in a
large retail electronics store. Over
the first three months of the year
you sold 12, 15, and 21 iPads.
The total in sales was $18,960.
• Write the equation and solve for
the price per iPad.
• $395
Solve the Equation
−(7 − 4x)=9
𝑋=4
Application Problem
•You have enough wallpaper
to cover 240 square feet. If
your walls are 8 feet high,
what wall length can you
paper?
•30 feet
Solve the Equation
2(4x−3)−8=4+2x
𝑋=3
Application Problem
• Net pay is the difference between a
worker’s gross income and his or her
deductions. A person’s gross income
for the year was $65,000 and their
total deductions were $12,860. What
was their net pay for the year?
• Write the equation and solve for the
net pay.
• $52,140
Solve the Equation
− 1 − 7𝑥 − 6 −7 − 𝑥 = 36
𝑥=5
Solve the Equation
−5 1 − 5𝑥 + 5 −8𝑥 − 2 = −4𝑥 − 8𝑥
𝑥 = −5
Solve the Equation
𝑦 = 𝑚𝑥 + 𝑏
𝑤ℎ𝑒𝑟𝑒 𝑚 = 5 , 𝑏 = 105 , 𝑦 = 550 𝑎𝑛𝑑 𝑥 =?
𝑥 = 89
Application Problem
•A spaceship is orbiting
around Earth at the rate of
25 kilometers per minute.
How far will it travel in two
hours?
•3,000 kilometers
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