Back to Lesson 6-8
Name
Name
6-8A Lesson Master
SKILLS
Questions on SPUR Objectives
See pages 392–395 for objectives.
SKILLS
Objective C
In 1–6, rewrite the equation in standard form with integer coefficients.
2. y = __25 x + 14
1. y = −3x - 7
3x + y = –7
–18x + 4y = 5 –x + y = 3
3x – 8y = 16 7x + 4y = 40
5 x = y + __2
6. __
3
9
145x – 60y
= –122
x – 32y = 55
5x – 9y = 6
In 7 and 8, an equation in slope intercept form is given. Find an equivalent
equation in standard form with integer coefficients.
7. y = 7x
6x + y = 20
a. Write an equation in standard form that describes the relationship
between x and y.
b. Give three solutions to your equation from Part a.
REPRESENTATIONS
USES
Objective H
8. 3x + 8y = −24
b.
6
5
4
3
2
1
x
y
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2 4 6 8 10
Objective F
9. For the Jaguars,
a. write an equation in standard form that describes the relationship
between touchdowns/extra points t and field goals f.
a.
y
5x + y = 14
On December 3, 2006, the Jacksonville Jaguars defeated the Miami
Dolphins by a score of 24 to 10. Each team scored only 7 points
(touchdown and extra point) or 3 points (field goal).
9. 5x - 2y = 10
a.
8. y = −5x + 14
7x – y = 0
Sample: (0, 20), (1, 14), (2, 8)
In 8 and 9, an equation for a line is given. a. Find the x- and y-intercepts of
the graph of the line. b. Graph the line.
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3. y = 10 - __74 x
5. 6.4y = __15 x - 11
4. 3y - 7.25 x = 6.1
Objective F
10
8
6
4
2
2. y = __38 x - 2
8x + y = 5
270x – y = 630
7. In the game of paper football, you get 6 points for a touchdown and
1 point for a field goal. Marcos scored x touchdowns and y field goals,
for a total of 20 points.
b.
See pages 392–395 for objectives.
Objective C
1. y = −8 x + 5
6. 30x = __19 y + 70
5. y - x - 3 = 0
Questions on SPUR Objectives
In 1–6, rewrite the equation in standard form with integer coefficients.
3. y = 8 - __31 x
–2x + 5y = 70 x + 3y = 24
4. 2y - 2.5 = 9x
USES
6-8B Lesson Master
b. give two solutions to this equation, where t and f are integers.
7t + 3f = 24
(0, 8), (3, 1)
10. For the Dolphins,
x
a. write an equation in standard form that describes the relationship
between touchdowns/extra points t and field goals f.
1 2 3 4 5 6
b. give a solution to this equation, where t and f are integers.
7t + 3f = 10
(1, 1)
8a. x–intercept = –8; y–intercept = –3
9a. x–intercept = 2; y–intercept = –5
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Name
6-8B
page 2
11. A furniture store employee earns $8 an hour and a 20% commission on
his sales. His earnings for one week were $1,500. Let x = the number of
hours the employee worked and y = the amount of his sales.
REPRESENTATIONS
1. x ≥ −3
Sample: 40x + y = 7,500
Sample: (10, 7,100),
(20, 6,700), (30, 6,300)
Total Sales in Dollars
b. Give three possible pairs of values of x and y.
8,000
7,000
6,000
5,000
4,000
3,000
2,000
1,000
y
x
50
100 150 200
Number of Hours
$5,900
(40, 5,900)
d. If the employee worked 40 hours, what were his sales?
e. Give the coordinates of the point on the graph corresponding
to your answer to Part d.
Questions on SPUR Objectives
See pages 392–395 for objectives.
Objective I
In 1–6, graph all points (x, y) that satisfy the inequality.
a. Write an equation in standard form that describes all the
different possible combinations of the hours the employee
worked and the amount of his sales.
c. Graph all possible solutions.
6-9A Lesson Master
2. y < 7
5
4
3
2
1
5
4
3
2
1
y
x
2 4 6 8 10
x
1 2 3 4 5
5
4
3
2
1
Copyright © Wright Group/McGraw-Hill
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y
x
1 2 3 4 5 6
6. 9x - 9y ≥ 63
y
10
8
6
4
2
x
1 2 3 4 5
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a. Write an inequality that gives the maximum number of cups c and
pitchers p that can be brewed from 1 box of tea bags.
14
b. Give two possible combinations of c and p.
REPRESENTATIONS
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5. 3x + 4y < 10
y
6
5
4
3
2
1
y
x
2 4 6 8 10
7. A box of herbal tea contains 20 bags. Each cup requires 1 tea bag and
each pitcher requires 4 tea bags.
b. Give three solutions to your equation from Part a.
c. If the $70 included the cost of 15 perennial plants, how many
geraniums did Nancy buy?
3. y > 3x - 5
10
8
6
4
2
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1x
4. y ≤ 2 + __
2
12. Nancy went to the Every Blooming Thing garden center and bought
small geraniums g for $1.25 each and perennial plants p for $3.50 each.
She spent $70, without tax.
Sample: 5g +
14p = 280
Sample: (0, 20), (28, 10), (42, 5)
x
1 2 3 4 5
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a. Write an equation in standard form that describes the relationship
between g and p.
y
c + 4p ≤ 20
Sample: (0, 5), (4, 4)
Objective H
In 13 and 14, an equation in slope-intercept form is given. Find the
x- and y-intercepts of the graph of the line, and then graph the line.
13. 6x - 2y = 12
10
8
6
4
2
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y
x–intercept = 2;
y–intercept = –6
x
2 4 6 8 10
14. 5x + 7y = −35
10
8
6
4
2
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y
x–intercept = –7;
y–intercept = –5
x
2 4 6 8 10
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