Graph Linear Equations Test
Multiple Choice
Identify the choice that best completes the statement or answers the question.
Match the equation with its graph.
____
1. –4x – 2y = 8
a.
–10 –8
y
–6
–4
10
10
8
8
6
6
4
4
2
2
–2
–2
2
4
6
8
10
x
–4
–6
–4
–2
–2
–4
–6
–6
–8
–8
–10
–10
10
10
8
8
6
6
4
4
2
2
–2
–2
2
4
6
8
10
x
2
4
6
8
10
x
2
4
6
8
10
x
y
d.
y
–6
–10 –8
–4
b.
–10 –8
y
c.
–10 –8
–6
–4
–2
–2
–4
–4
–6
–6
–8
–8
–10
–10
Short Answer
The rate of change is constant in each table. Find the rate of change. Explain what the rate of change
means for the situation.
1. The table shows the cost of a ski rental package for a given number of people.
People
Cost ($)
4
160
5
200
6
240
7
280
2. The table shows the number of miles driven over time.
Time (hours)
Distance (miles)
4
204
6
306
8
408
510
10
Find the slope of the line.
3.
y
5
4
3
2
1
–5
–4
–3
–2
–1
–1
1
2
3
4
5
x
1
2
3
4
5
x
–2
–3
–4
–5
y
4.
5
4
3
2
1
–5
–4
–3
–2
–1
–1
–2
–3
–4
–5
What is the slope of the line that passes through the pair of points?
5. (–5.5, 6.1), (–2.5, 3.1)
6. (1, 7), (10, 1)
What are the slope and y-intercept of the graph of the given equation?
8
10
x
9
3
7.
y=
8.
y = 1.9x + 2.5
9.
y = –4x + 2
Write an equation of a line with the given slope and y-intercept.
10. m = –4.4, b = 6.8
11. m = –5, b = –3
Write the slope-intercept form of the equation for the line.
12.
y
5
4
3
2
1
–5
–4
–3
–2
–1
–1
–2
–3
–4
–5
1
2
3
4
5
x
13.
y
5
4
3
2
1
–5
–4
–3
–2
–1
–1
1
2
3
4
5
x
–2
–3
–4
–5
What equation in slope intercept form represents the line that passes through the two points?
14. (6.6, –2.5), (8.6, –10.5)
15. (2, 5), (9, 2)
Graph the equation.
16. y = –2x – 3
17. y = 4x – 3
y
10
9
8
7
6
5
4
3
2
1
–10 –9 –8 –7 –6 –5 –4 –3 –2 –1
–1
1
2
3
4
5
6
7
8
9
x
–2
–3
–4
–5
–6
–7
–8
–9
–10
18. Giselle pays $240 in advance on her account at the athletic club. Each time she uses the club, $15 is deducted
from the account. Model the situation with a linear function and a graph.
Write an equation in point-slope form for the line through the given point with the given slope.
19. (8, 3); m = 6
Graph the equation.
20. y – 4 = 2(x – 2)
21. y – 1 =
4
(x + 1)
5
y
10
9
8
7
6
5
4
3
2
1
–10 –9 –8 –7 –6 –5 –4 –3 –2 –1
–1
1
2
3
4
5
6
7
8
9
x
–2
–3
–4
–5
–6
–7
–8
–9
–10
Find the x- and y-intercept of the line.
22. –4x + 2y = 24
7
23.  x  4y = 7
5
24. Write y = 0.2x – 0.3 in standard form using integers.
25. A paint store sells exterior paint for $35.75 a gallon and paint rollers for $6.00 each. Write an equation in
standard form for the number of gallons p of paint and rollers r that a customer could buy with $190.
26. The video store rents DVDs for $3.75 each and video games for $4.00 each. Write an equation in standard
form for the number of DVDs d and video games g that a customer could rent with $18.
Graph the equation
27. y = –2
y
10
9
8
7
6
5
4
3
2
1
–10 –9 –8 –7 –6 –5 –4 –3 –2 –1
–1
1
2
3
4
5
6
7
8
9
x
1
2
3
4
5
6
7
8
9
x
–2
–3
–4
–5
–6
–7
–8
–9
–10
28. x = 1
y
10
9
8
7
6
5
4
3
2
1
–10 –9 –8 –7 –6 –5 –4 –3 –2 –1
–1
–2
–3
–4
–5
–6
–7
–8
–9
–10
What is the slope of the line?
y
29.
5
4
3
2
1
–5
–4
–3
–2
–1
–1
1
2
3
4
5
x
1
2
3
4
5
x
–2
–3
–4
–5
y
30.
5
4
3
2
1
–5
–4
–3
–2
–1
–1
–2
–3
–4
–5
31. The table shows the height of a plant as it grows. Write the equation that gives the plant’s height at any time?
Let y stand for the height of the plant in cm and let x stand for the time in months.
Time (months)
Plant Height (cm)
3
15
5
25
7
35
9
45
32. Write y =
.
1
x + 5 in standard form using integers.
6
Graph Linear Equations Test
Answer Section
MULTIPLE CHOICE
1. ANS: B
REF: 5-5 Standard Form
OBJ: 5-5.1 To graph linear equations using intercepts
TOP: 5-5 Problem 2 Graphing a Line Using Intercepts
SHORT ANSWER
1. ANS:
dollars per person; the cost is $40 for each person.
REF: 5-1 Rate of Change and Slope
OBJ: 5-1.1 To find rates of change from tables
TOP: 5-1 Problem 1 Finding Rate of Change Using a Table
2. ANS:
; Your car travels 51 miles every 1 hour.
REF: 5-1 Rate of Change and Slope
OBJ: 5-1.1 To find rates of change from tables
TOP: 5-1 Problem 1 Finding Rate of Change Using a Table
3. ANS:
1

2
REF: 5-1 Rate of Change and Slope
OBJ: 5-1.2 To find slope
TOP: 5-1 Problem 2 Finding Slope Using a Graph
4. ANS:
3
4
REF: 5-1 Rate of Change and Slope
OBJ: 5-1.2 To find slope
TOP: 5-1 Problem 2 Finding Slope Using a Graph
5. ANS:
–1
REF: 5-1 Rate of Change and Slope
OBJ: 5-1.2 To find slope
TOP: 5-1 Problem 3 Finding Slope Using Points
6. ANS:
2

3
REF: 5-1 Rate of Change and Slope
OBJ: 5-1.2 To find slope
TOP: 5-1 Problem 3 Finding Slope Using Points
7. ANS:
The slope is
8
10
and the y-intercept is  .
9
3
REF: 5-3 Slope-Intercept Form
OBJ: 5-3.1 To write linear equations using slope-intercept form
TOP: 5-3 Problem 1 Identifying Slope and y-intercept
8. ANS:
The slope is 1.9 and the y-intercept is 2.5.
REF: 5-3 Slope-Intercept Form
OBJ: 5-3.1 To write linear equations using slope-intercept form
TOP: 5-3 Problem 1 Identifying Slope and y-intercept
9. ANS:
The slope is –4 and the y-intercept is 2.
REF: 5-3 Slope-Intercept Form
OBJ: 5-3.1 To write linear equations using slope-intercept form
TOP: 5-3 Problem 1 Identifying Slope and y-intercept
10. ANS:
y = –4.4x + 6.8
REF: 5-3 Slope-Intercept Form
OBJ: 5-3.1 To write linear equations using slope-intercept form
TOP: 5-3 Problem 2 Writing an Equation in Slope-Intercept Form
11. ANS:
y = –5x – 3
REF: 5-3 Slope-Intercept Form
OBJ: 5-3.1 To write linear equations using slope-intercept form
TOP: 5-3 Problem 2 Writing an Equation in Slope-Intercept Form
12. ANS:
5
1
y= x 
8
2
REF: 5-3 Slope-Intercept Form
OBJ: 5-3.2 To graph linear equations in slope-intercept form
TOP: 5-3 Problem 3 Writing an Equation From a Graph
13. ANS:
5
7
y=  x 
8
8
REF: 5-3 Slope-Intercept Form
OBJ: 5-3.2 To graph linear equations in slope-intercept form
TOP: 5-3 Problem 3 Writing an Equation From a Graph
14. ANS:
y = –4x + 23.9
REF: 5-3 Slope-Intercept Form
OBJ: 5-3.1 To write linear equations using slope-intercept form
TOP: 5-3 Problem 4 Writing an Equation From Two Points
15. ANS:
3
41
y=  x 
7
7
REF: 5-3 Slope-Intercept Form
OBJ: 5-3.1 To write linear equations using slope-intercept form
TOP: 5-3 Problem 4 Writing an Equation From Two Points
16. ANS:
y
10
8
6
4
2
–10 –8
–6
–4
–2
–2
2
4
6
8
10
x
–4
–6
–8
–10
REF: 5-3 Slope-Intercept Form
OBJ: 5-3.2 To graph linear equations in slope-intercept form
TOP: 5-3 Problem 5 Graphing a Linear Function
17. ANS:
y
10
8
6
4
2
–10 –8
–6
–4
–2
–2
2
4
6
8
10
x
–4
–6
–8
–10
REF: 5-3 Slope-Intercept Form
OBJ: 5-3.2 To graph linear equations in slope-intercept form
TOP: 5-3 Problem 5 Graphing a Linear Function
18. ANS:
b
Athletic Club Account
320
280
Balance ($)
240
200
160
120
80
40
1
2
3
4
5
6
7
8
9
x
Number of Visits
b = 240 – 15x
REF: 5-3 Slope-Intercept Form
OBJ: 5-3.2 To graph linear equations in slope-intercept form
TOP: 5-3 Problem 6 Modeling a Function
19. ANS:
REF: 5-4 Point-Slope Form
OBJ: 5-4.1 To write and graph linear equations using point-slope form
TOP: 5-4 Problem 1 Writing an Equation in Point-Slope Form
20. ANS:
y
10
8
6
4
2
–10 –8
–6
–4
–2
–2
2
4
6
8
10
x
–4
–6
–8
–10
REF: 5-4 Point-Slope Form
OBJ: 5-4.1 To write and graph linear equations using point-slope form
TOP: 5-4 Problem 2 Graphing Using Point-Slope Form
21. ANS:
y
10
8
6
4
2
–10 –8
–6
–4
–2
–2
2
4
6
8
10
x
–4
–6
–8
–10
REF: 5-4 Point-Slope Form
OBJ: 5-4.1 To write and graph linear equations using point-slope form
TOP: 5-4 Problem 2 Graphing Using Point-Slope Form
22. ANS:
x-intercept is –6; y-intercept is 12
REF: 5-5 Standard Form
OBJ: 5-5.1 To graph linear equations using intercepts
TOP: 5-5 Problem 1 Finding x- and y-intercepts
23. ANS:
7
x-intercept is 5; y-intercept is 
4
REF: 5-5 Standard Form
OBJ: 5-5.1 To graph linear equations using intercepts
TOP: 5-5 Problem 1 Finding x- and y-intercepts
24. ANS:
–2x + 10y = –3
REF: 5-5 Standard Form
OBJ: 5-5.2 To write linear equations in standard form
TOP: 5-5 Problem 4 Transforming to Standard Form
25. ANS:
35.75p + 6r = 190
REF: 5-5 Standard Form
OBJ: 5-5.2 To write linear equations in standard form
TOP: 5-5 Problem 5 Using Standard Form as a Model
26. ANS:
3.75d + 4g = 18
REF: 5-5 Standard Form
OBJ: 5-5.2 To write linear equations in standard form
TOP: 5-5 Problem 5 Using Standard Form as a Model
27. ANS:
y
5
4
3
2
1
–5
–4
–3
–2
–1
–1
1
2
3
4
5
x
–2
–3
–4
–5
REF: 5-5 Standard Form
OBJ: 5-5.1 To graph linear equations using intercepts
TOP: 5-5 Problem 3 Graphing Horizontal and Vertical Lines
28. ANS:
y
5
4
3
2
1
–5
–4
–3
–2
–1
–1
1
2
3
4
5
x
–2
–3
–4
–5
REF: 5-5 Standard Form
OBJ: 5-5.1 To graph linear equations using intercepts
TOP: 5-5 Problem 3 Graphing Horizontal and Vertical Lines
29. ANS:
0
REF: 5-1 Rate of Change and Slope
OBJ: 5-1.2 To find slope
TOP: 5-1 Problem 4 Finding Slopes of Horizontal and Vertical Lines
30. ANS:
undefined
REF: 5-1 Rate of Change and Slope
OBJ: 5-1.2 To find slope
TOP: 5-1 Problem 4 Finding Slopes of Horizontal and Vertical Lines
31. ANS:
y – 15 = 5(x – 3)
REF: 5-4 Point-Slope Form
OBJ: 5-4.1 To write and graph linear equations using point-slope form
TOP: 5-4 Problem 4 Using a Table to Write an Equation
32. ANS:
–x + 6y = 30
REF: 5-5 Standard Form
OBJ: 5-5.2 To write linear equations in standard form
TOP: 5-5 Problem 4 Transforming to Standard Form