Chapter 5 Writing Linear Equations - The Standard Form Of A Linear Equation Worksheet - Connie Gross Page 7

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E
E
In Exercises 77–80, use the equation 2x + 7y = 14.
XPLORING
QUATIONS
What is the x-intercept?
77.
78.
What is the y-intercept?
1
Multiply each term in the equation by
.
79.
1
4
80.
Find a relationship between the denominators on the left side of the equation
and the x-intercept and the y-intercept.
Challenge
F
E
In Exercises 81–83, use the following information.
INDING
QUATIONS
The equation represents the intercept form of the equation of a line. In the
equation, the x-intercept is a and the y-intercept is b.
y
x
+
= 1
a
b
Write the intercept form of the equation of the line whose x-intercept is 2
81.
and y-intercept is 3.
82.
Write the equation in Exercise 81 in standard form.
E
C
XTRA
HALLENGE
Write the equation in Exercise 82 in slope-intercept form.
83.
M
R
IXED
EVIEW
S
E
Solve the equation. Check the result.
(Review 3.4)
OLVING
QUATIONS
8 + y = 3
y º 9 = 2
º6(q + 22) = 5q
84.
85.
86.
87.
2(x + 5) = 18
88.
7 º 2a = º14
89.
º2 + 4c = 19
G
E
Use a table of values to graph the equation. Label
RAPHING
QUATIONS
the x-intercept and the y-intercept.
(Review 4.2, 4.3)
y = ºx + 8
y = 4x º 4
y = x + 5
90.
91.
92.
93.
y = º9 + 3x
94.
y = ºx º 1
95.
y = 10 º x
S
-I
F
Graph the line that passes through the points.
LOPE
NTERCEPT
ORM
Write its equation in slope-intercept form.
(Review 5.3 for 5.7)
96.
(2, 3), (º4, 1)
97.
(7, 6), (5, º9)
98.
(º5, º2), (º1, 12)
99.
(6, º2), (º5, º8)
100.
(2, 9), (4, 7)
101.
(19, º2), (4, º1)
(5, º8), (7, º3)
(14, º9), (º5, º3)
(º5, 9), (5, 4)
102.
103.
104.
You have $125.79 to spend for a CD player.
105.
B
CD P
UYING A
LAYER
The sales tax is 6%. What is your price limit for the CD player?
(Review 3.6)
106.
B
C
You have $15 to spend for a calendar. The sales
UYING A
ALENDAR
tax is 8.5%. What is your price limit for the calendar?
(Review 3.6)
107.
L
T
You leave a $1.50 tip for a lunch of $6.00. What
EAVING A
IP
percent tip did you leave?
(Review 3.8)
108.
S
A coat regularly sells for $84. You buy the coat on sale and
HOPPING
save $10. What percent is the discount?
(Review 3.8)
314
Chapter 5 Writing Linear Equations

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