Download Name: Date - Net Start Class

Algebra I Test Review
Unit 7 – Linear Functions
Name:_________________ Date:___________
Period:_______________
1.Use the slope and y-intercept to graph the equation.
1
y= x–1
3
y
A
C
–5
–4
–3
–2
5
4
4
3
3
2
2
1
1
–1
–1
1
2
3
4
5
x
–3
–2
–4
–3
–2
–1
–1
–2
–3
–3
–4
–4
–5
–5
D
y
–4
–5
–2
B
–5
y
5
5
4
4
3
3
2
2
1
1
1
2
3
4
5
x
2
3
4
5
x
1
2
3
4
5
x
y
5
–1
–1
1
–5
–4
–3
–2
–1
–1
–2
–2
–3
–3
–4
–4
–5
–5
2. Write the parent function of the equation
graphed below.
3. Write the slope-intercept form of the
equation for the line.
4.
y
y
5
5
4
4
3
3
2
2
1
1
–7
–5
–4
–3
–2
–1
–1
1
2
3
4
5
x
–6
–5
–4
–3
–2
–1
–1
1
2
3
4
5
6
7
x
–2
–3
–2
–4
–3
–5
–4
–6
–5
4. Write the equation in slope-intercept form.
6x + 4y = 16
5.
Write an equation of a line that has
the same slope as 3x - 4y = 10 and
the same y-intercept as 6y = 7x + 18
6. The water level of a river is shown in
the graph below. What is the slope and yintercept? What does the slope and yintercept reveal about the situation?
7. The graph of a linear function is shown
below. If the line is translated 4 units
down, write an equation that will
describe the new line.
y
5
4
3
2
1
–5
–4
–3
–2
–1
–1
1
2
3
4
5
4
5
x
–2
–3
–4
–5
9.
8. How does the graph of
Graph.
y = –2x – 4
y
compare to the graph of
?
5
4
3
2
1
–5
–4
–3
–2
–1
–1
1
2
3
x
–2
–3
–4
–5
10. Diego drew the graph of the line
11. The graph of a linear function is
shown on the coordinate grid below.
y
on a large coordinate grid in his
classroom. Samantha drew the graph of
the line
5
4
3
on the same coordinate
grid. How does Samantha’s graph
compare to Diego’s?
2
1
–5
–4
–3
–2
–1
–1
1
2
3
4
5
x
–2
–3
A Samantha's graph was 7 units
lower than Diego's on the
coordinate grid.
B Samantha's graph was 4 units
lower than Diego's on the
coordinate grid.
C Samantha's graph was steeper
than Diego's graph.
D Samantha's graph was less steep
than Diego's graph.
–4
–5
If the y-intercept is changed to
and the slope becomes 2, which
statement best describes the relationship
between the two lines when they are
graphed on the same coordinate grid?
A the y-intercepts are 4 units apart
and the lines are parallel
B the y-intercepts are 5 units apart
and the lines are perpendicular
C the y-intercepts are 4 units apart
and the lines intersect at
D the y-intercepts are 5 units apart
and the lines intersect at
12. Find the slope and y-intercept of the line
described by x – 3y = –6.
14.
A line crosses the y-axis at (0, 3) and has
a slope of
. Write an equation for this
13. A line has a slope of 3 and passes
through point (1, -2). Write an
equation for this line in
slope-intercept form.
15. Write an equation in point-slope form
for the line that has a slope of 6 and
contains the point (–8, –7).
line in slope-intercept form.
16.
A linear function has the same slope as
and its graph contains the point
(-3, -4). Write the equation for this linear
function in point-slope form.
17. The graph of line l contains the points
(2, 4) and (4, 3). Which of these
equations describes line l?
A
B
C
D
18.
A line passes through (2, –1) and (8, 4).
Write an equation for the line in pointslope form.
19. Write an equation in slope-intercept
form for the line that passes through
(3, 7) and (7, 4).
20.
At a newspaper, the costs to place an add
for one week are shown in the table
below. Write an equation in slopeintercept form that represents this linear
function. Then find the cost to place an
ad that has 19 lines.
21. Identify the coordinate of the yintercept of the following table:
x
y
-2
0
-1
3
0
6
2
12
A (2,12)
B (-2,0)
C (0,6)
D (-1,3)
22. Which of the following has a different rate
of change than the other representations?
23. Is the relationship shown by the data
linear? If so, give the rate of change.
y
A
5
4
3
2
1
–5 –4 –3 –2 –1
–1
1
2
3
4
5
x
y
-9
-2
-5
-7
-1
-12
3
-17
x
–2
–3
–4
A The relationship is linear;
–5
the rate of change is
B
.
B The relationship is linear;
the rate of change is
C.
The segment containing the points
.
D
The roof pitch (or slope of a roof) is
1/3.
24. Find the value of k such that the points
(3, 2k) and (24, 3k) lie on a line with slope
.
C The relationship is not linear.
D The relationship is linear;
the rate of change is
.
25. What is the domain of the function
shown on the graph below?
y
. Record your answer in the grid on
6
the answer document.
5
4
3
2
1
–6 –5 –4 –3 –2 –1–1
1
2
–2
–3
–4
–5
–6
A
B
C
D
3
4
5
6
x