Ordered Pairs, Intercepts, And Slopes Worksheet

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Section 5.2
Ordered Pairs, Intercepts, and Slopes
P
-A
re
ctivity
P
rePArAtion
Section 2.2 introduced validating ordered pair solutions to equations in two variables. This activity shows how
to find ordered pair solutions to an equation in two variables by choosing one variable value and applying the
general methodology for solving equations to find the value of the other variable. The following equations are a
small sample of the widespread applications of finding ordered pair solutions to equations in two variables.
You have $20 to buy the chips and salsa for a large party. If chips
$3C + $2S = $20
cost $3 and a jar of salsa costs $2, how many jars of salsa can you
$3(4) + $2S = $20
buy if you buy 4 bags of chips?
In football, field goals score 3 points each and touchdowns score
3F + 7T = 48
7 points (with the extra point). If a team scores 2 field goals, how
3(2) + 7T = 48
many touchdowns does it score if the total score is 48 points?
Money is divided between two accounts. One is low risk and
0.11x + 0.06y = $900
returns 6% interest. The other is higher risk and returns 11%. If
you put $4000 in the low risk account, how much should you put
0.11x + 0.06(4000) = $900
in the high risk account to earn a total of $900 in interest?
9
C
=
(
F
-
32
)
5
Converting between Fahrenheit and Celsius is common in
Convert 98.6 °F to °C:
Chemistry and Physics. The conversion formula is:
9
C =
( .
98 6 32
-
)
5
L
o
eArning
bjectives
Find ordered pair solutions
Find the x- and y-intercept of a line from its equation
Find the slope of a line from its equation
Calculate the slope of an equation, given any two ordered pairs
t
erminoLogy
n
t
L
P
u
ew
erms to
eArn
reviously
sed
slope
x-intercept
coefficient
linear equation
slope-intercept form
y-intercept
equation
ordered pair solution
standard form
integer
real numbers


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