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Algebra Jeopardy

Pre-AP Algebra - you must click "PRESENT REMOTELY" in order for the prezi to work correctly.
by

Allison Myers

on 9 November 2015

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Transcript of Algebra Jeopardy

1 or 2
Variable
Equations
Systems of
equations
absolute Value
equations and
inequalities
systems of
inequalities
Matrix
operations
and Equations
100
100
100
100
100
200
200
200
200
200
300
300
300
300
300
400
400
400
400
400
500
500
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500
Vocabulary Word:
- letters or other symbols that
represent unknown numbers
or values
Variables
100
500
A stadium has 57,000 seats. Seats sell for $21 in section A, $18 in Section B, and $15 in Section C. The number of seats in section A equals the total number of seats in Sections B and C. Suppose the stadium takes in $1,071,600 from each sold-out event. How many seats does each section hold?
Section
A
has

28,500
seats.
Section
B
has
15,200
seats.
Section
C
has
13,300
seats.
The recommended daily intake (RDI) of Vitamin C is
95 mg/day
.
However, since supplement needs tend to vary from person to person, the dosage may
vary by plus or minus 35 mg
.
Write an absolute value inequality to find the dosage range.
500
60 < x < 130
Write the inequality that represents the sentence,

“Eight less than a number is greater than 62.”
x - 8 > 62
100
When given a system of inequalities, it's usually best to, if possible, isolate which
variable
? Why?
Y - so that the inequality resembles the slope-intercept form, which makes graphing easier.
100
Solve the equation:

12 - 3(2w + 1) = 5w - 3(5 + w)
Write an algebraic expression that
models the word phrase:
"the sum of the product of a number x and 9, and 15"
You currently have $45 in your bank account. Each week you plan to deposit $4 from your allowance and $30 from your paycheck. How many weeks from now will you have $315 in your bank account?
let b equal the money in the
bank after w weeks:
b = 45 + (30 + 4)w
8 weeks
Notice that your balance after 7 weeks is $283, and after 8 weeks it’s $317.
Since you only deposit money once a week, there is $315 in your account only after 8 weeks.
A new outdoor recreation complex is being built in Wylie. The perimeter of the rectangular playing field is 256 yards. The length of the field is 7 yards less than double the width. What are the dimensions of the playing field?
l
= 2w - 7
w = 45, l = 83
Vocabulary:

in a 2x2 system, the
lines coincide
;
in a 3x3 system, the 3 planes intersect at a
line
.
a system that has
infinite solutions
100
200
300
400
500
A laboratory technician needs to make a 27-liter batch of a 40% acid solution. How can the laboratory technician combine a batch of an acid solution that is pure acid with another that is 10% to get the desired concentration?
9L of the pure acid
solution
and
18L of the 10% acid
solution
are needed to
produce
the
27L batch of a 40% acid
solution.
Solve the system using any method:
2x – 3y + 5z = 0
x + 3y + z = 12
4y - z = 11
(2, 3, 1)
Solve the system using any method.
5x + y = 16
y = 3x

(2, 6)
200
300
400
Vocabulary:
the magnitude of a quantity, irrespective of sign;
the distance of a quantity from zero.
Solve:
2|4x-22| = 12
x = 7, x = 4
Solve & graph
on a number line:
|x + 14| > 5
x < -19
or
x > -9

The "solution" of a system of inequalities is the region where ______________________________________.
all three individual solution regions
overlap
.
Use the graph to write a matching system of inequalities.










200
300
400
200
300
Write a system of inequalities to describe the shaded figure:













y < -x + 6
y < x + 6
y > -x – 6
y > x – 6
400
Graph the solution set of the system:
-2x - y > 8
y > -8
x > -2

500
Answer:





100
Vocabulary - fill in the blanks:
in an m n matrix, m and n are
called its ___________;
where
m = # of _____
and
n = # of _______
.
Dimensions
n = # of
columns
m = # of
rows
True or False?
Multiplication of matrices is
commutative.
i.e.
Is multiplying the matrices,
AxB
, necessarily the same as multiplying
BxA
?
FALSE
; multiplication of matrices is NOT commutative
i.e.

AxB
will not necessarily be the same answer as
BxA
.







a means row 2, column 3

a = 1
200
300
Write a system of equations from the matrix equation:




4x – 2y + 6z = 5
4x + 6y – 4z = 3
-3x + 6y + 7z = 4
400




AxB =

.











500
Algebra Jeopardy
P= 2
l
+ 2w
9x + 15
Consistent
&
Dependent
w = 3
y < -x
y > -8
Absolute Value
ALGEBRA JEOPARDY
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