Chapter 5 Writing Linear Equations - The Standard Form Of A Linear Equation Worksheet - Connie Gross Page 4
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G
P
UIDED
RACTICE
Vocabulary Check
Name the following form of the equation of a line: y = mx + b.
1.
2.
Name the following form of the equation of a line: Ax + By = C.
2
Concept Check
3.
The equations y = º
x + 3 and 2x + 3y = 9 are equivalent. Describe
3
how you would use each equation to graph the equation.
Skill Check
Write the equation in standard form with integer coefficients.
y = 2x º 9
y = 6 º 5x
y = 9 + 1x
4.
5.
6.
1
3
7.
y =
x + 8
8.
y = 7x + 3
9.
y = º2 +
x
2
2
Write an equation in standard form of the line that passes through the
given point and has the given slope.
(º3, 4), m = º4
(1, º2), m = 5
(2, 5), m = 3
10.
11.
12.
(5, º8), m = º1
(º5, º6), m = 3
(4, º3), m = º2
13.
14.
15.
You have $10 to buy tomatoes and carrots for a salad.
16.
V
EGETABLES
Tomatoes cost $2 per pound and carrots cost $1.25 per pound. Write a linear
equation that models the different amounts of tomatoes x and carrots y that
you can buy.
17.
Copy and complete the table using the linear model in Exercise 16.
0
1.25
2.5
3.75
5
Tomatoes (lb), x
?
?
?
?
?
Carrots (lb), y
P
A
RACTICE
PPLICATIONS
AND
E
Write the equation in standard form with integer coefficients.
QUATIONS
S
H
TUDENT
ELP
Extra Practice
4x º y º 7 = 0
x + 3y º 4 = 0
º4x + 5y + 16 = 0
18.
19.
20.
to help you master
2x º 3y º 14 = 0
x º 5 = 0
y + 3 = 0
21.
22.
23.
skills is on p. 801.
24.
y = º5x + 2
25.
y = 3x º 8
26.
y = º0.4x + 1.2
7
1
5
27.
3x + 9 =
y
28.
y = 9x +
29.
y =
x + 9
2
2
2
3
5
1
6
1
y = º
x +
y = º
x +
y = º
x º 4
30.
31.
32.
4
4
7
7
3
W
E
Write an equation in standard form of the line that
RITING
QUATIONS
passes through the given point and has the given slope.
S
H
TUDENT
ELP
(º8, 3), m = 2
(º2, 7), m = º4
(º1, 4), m = º3
33.
34.
35.
HOMEWORK HELP
Example 1: Exs. 18–32
(º6, º7), m = º1
(3, º2), m = 5
(10, 6), m = 7
36.
37.
38.
Example 2: Exs. 33–50
Example 3: Exs. 51–61
39.
(2, 9), m = º7
40.
(5, º8), m = 10
41.
(7, 3), m = º2
Example 4: Exs. 64–69
(º4, 2), m = º2
(0, 3), m = 1
(º3, 3), m = 4
42.
43.
44.
5.6 The Standard Form of a Linear Equation
311
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