3.2E: Exercises
- Last updated
- Jul 25, 2021
- Save as PDF
- Page ID
- 79436
( \newcommand{\kernel}{\mathrm{null}\,}\)
Practice Makes Perfect
Recognize the Relationship Between the Solutions of an Equation and its Graph
In the following exercises, for each ordered pair, decide:
- Is the ordered pair a solution to the equation?
- Is the point on the line?
Exercise 3.2E.1
y=x+2
- (0,2)
- (1,2)
- (−1,1)
- (−3,−1)
- Answer
-
- yes; no
- no; no
- yes; yes
- yes; yes
Exercise 3.2E.2
y=x−4
- (0,−4)
- (3,−1)
- (2,2)
- (1,−5)
Exercise 3.2E.3
y=12x−3
- (0,−3)
- (2,−2)
- (−2,−4)
- (4,1)
- Answer
-
- yes; yes
- yes; yes
- yes; yes
- no; no
Exercise 3.2E.4
y=13x+2
- (0,2)
- (3,3)
- (−3,2)
- (−6,0)
Graph a Linear Equation by Plotting Points
In the following exercises, graph by plotting points.
Exercise 3.2E.5
y=3x−1
- Answer
-
Exercise 3.2E.6
y=2x+3
Exercise 3.2E.7
y=−2x+2
- Answer
-
Exercise 3.2E.8
y=−3x+1
Exercise 3.2E.9
y=x+2
- Answer
-
Exercise 3.2E.10
y=x−3
Exercise 3.2E.11
y=−x−3
- Answer
-
Exercise 3.2E.12
y=−x−2
Exercise 3.2E.13
y=2x
- Answer
-
Exercise 3.2E.14
y=3x
Exercise 3.2E.15
y=−4x
- Answer
-
Exercise 3.2E.16
y=−2x
Exercise 3.2E.17
y=12x+2
- Answer
-
Exercise 3.2E.18
y=13x−1
Exercise 3.2E.19
y=43x−5
- Answer
-
Exercise 3.2E.20
y=32x−3
Exercise 3.2E.21
y=−25x+1
- Answer
-
Exercise 3.2E.22
y=−45x−1
Exercise 3.2E.23
y=−32x+2
- Answer
-
Exercise 3.2E.24
y=−53x+4
Exercise 3.2E.25
x+y=6
- Answer
-
Exercise 3.2E.26
x+y=4
Exercise 3.2E.27
x+y=−3
- Answer
-
Exercise 3.2E.28
x+y=−2
Exercise 3.2E.29
x−y=2
- Answer
-
Exercise 3.2E.30
x−y=1
Exercise 3.2E.31
x−y=−1
- Answer
-
Exercise 3.2E.32
x−y=−3
Exercise 3.2E.33
3x+y=7
- Answer
-
Exercise 3.2E.34
5x+y=6
Exercise 3.2E.35
2x+y=−3
- Answer
-
Exercise 3.2E.36
4x+y=−5
Exercise 3.2E.37
13x+y=2
- Answer
-
Exercise 3.2E.38
12x+y=3
Exercise 3.2E.39
25x−y=4
- Answer
-
Exercise 3.2E.40
34x−y=6
Exercise 3.2E.41
2x+3y=12
- Answer
-
Exercise 3.2E.42
4x+2y=12
Exercise 3.2E.43
3x−4y=12
- Answer
-
Exercise 3.2E.44
2x−5y=10
Exercise 3.2E.45
x−6y=3
- Answer
-
Exercise 3.2E.46
x−4y=2
Exercise 3.2E.47
5x+2y=4
- Answer
-
Exercise 3.2E.48
3x+5y=5
Graph Vertical and Horizontal Lines
In the following exercises, graph each equation.
Exercise 3.2E.49
x=4
- Answer
-
Exercise 3.2E.50
x=3
Exercise 3.2E.51
x=−2
- Answer
-
Exercise 3.2E.52
x=−5
Exercise 3.2E.53
y=3
- Answer
-
Exercise 3.2E.54
y=1
Exercise 3.2E.55
y=−5
- Answer
-
Exercise 3.2E.56
y=−2
Exercise 3.2E.57
x=73
- Answer
-
Exercise 3.2E.58
x=54
Exercise 3.2E.59
y=−154
- Answer
-
Exercise 3.2E.60
y=−53
In the following exercises, graph each pair of equations in the same rectangular coordinate system.
Exercise 3.2E.61
y=2x and y=2
- Answer
-
Exercise 3.2E.62
y=5x and y=5
Exercise 3.2E.63
y=−12x and y=−12
- Answer
-
Exercise 3.2E.64
y=−13x and y=−13
Mixed Practice
In the following exercises, graph each equation.
Exercise 3.2E.65
y=4x
- Answer
-
Exercise 3.2E.66
y=2x
Exercise 3.2E.67
y=−12x+3
- Answer
-
Exercise 3.2E.68
y=14x−2
Exercise 3.2E.69
y=−x
- Answer
-
Exercise 3.2E.70
y=x
Exercise 3.2E.71
x−y=3
- Answer
-
Exercise 3.2E.72
x+y=−5
Exercise 3.2E.73
4x+y=2
- Answer
-
Exercise 3.2E.74
2x+y=6
Exercise 3.2E.75
y=−1
- Answer
-
Exercise 3.2E.76
y=5
Exercise 3.2E.77
2x+6y=12
- Answer
-
Exercise 3.2E.78
5x+2y=10
Exercise 3.2E.79
x=3
- Answer
-
Exercise 3.2E.80
x=−4
Everyday Math
Exercise 3.2E.81
Motor home cost. The Robinsons rented a motor home for one week to go on vacation. It cost them $594 plus $0.32 per mile to rent the motor home, so the linear equation y=594+0.32x gives the cost, yy, for driving xx miles. Calculate the rental cost for driving 400, 800, and 1200 miles, and then graph the line.
- Answer
-
$722, $850, $978
Exercise 3.2E.82
Weekly earnings. At the art gallery where he works, Salvador gets paid $200 per week plus 15% of the sales he makes, so the equation y=200+0.15x gives the amount, yy, he earns for selling x dollars of artwork. Calculate the amount Salvador earns for selling $900, $1600, and $2000, and then graph the line.
Writing Exercises
Exercise 3.2E.83
Explain how you would choose three x - values to make a table to graph the line y=15x−2
- Answer
-
Answers will vary.
Exercise 3.2E.84
What is the difference between the equations of a vertical and a horizontal line?
Self Check
ⓐ After completing the exercises, use this checklist to evaluate your mastery of the objectives of this section.

ⓑ After reviewing this checklist, what will you do to become confident for all goals?