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Transcript of Algebra Jeopardy
- letters or other symbols that
represent unknown numbers
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?
The recommended daily intake (RDI) of Vitamin C is
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.
60 < x < 130
Write the inequality that represents the sentence,
“Eight less than a number is greater than 62.”
x - 8 > 62
When given a system of inequalities, it's usually best to, if possible, isolate which
Y - so that the inequality resembles the slope-intercept form, which makes graphing easier.
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
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?
= 2w - 7
w = 45, l = 83
in a 2x2 system, the
in a 3x3 system, the 3 planes intersect at a
a system that has
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
18L of the 10% acid
are needed to
27L batch of a 40% acid
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
the magnitude of a quantity, irrespective of sign;
the distance of a quantity from zero.
2|4x-22| = 12
x = 7, x = 4
Solve & graph
on a number line:
|x + 14| > 5
x < -19
x > -9
The "solution" of a system of inequalities is the region where ______________________________________.
all three individual solution regions
Use the graph to write a matching system of inequalities.
Write a system of inequalities to describe the shaded figure:
y < -x + 6
y < x + 6
y > -x – 6
y > x – 6
Graph the solution set of the system:
-2x - y > 8
y > -8
x > -2
Vocabulary - fill in the blanks:
in an m n matrix, m and n are
called its ___________;
m = # of _____
n = # of _______
n = # of
m = # of
True or False?
Multiplication of matrices is
Is multiplying the matrices,
, necessarily the same as multiplying
; multiplication of matrices is NOT commutative
will not necessarily be the same answer as
a means row 2, column 3
a = 1
Write a system of equations from the matrix equation:
4x – 2y + 6z = 5
4x + 6y – 4z = 3
-3x + 6y + 7z = 4
9x + 15
w = 3
y < -x
y > -8