QUESTION BANK ITEMS
H.2A.1 Identify, construct, extend, and analyze linear
patterns and functional relationships that are
expressed contextually, numerically,
algebraically, graphically, in tables, or using
geometric figures.
Unit: Linear Equations and
Inequalities
Target:
ANSWER
QUESTION
LEVEL OF
DIFFICULTY
Match the graph, equation and table.
1
QuickT ime ™an d a
deco mpre ssor
ar e need ed to see this pictur e.
y  2x  7

y  2x  8

Qu i ck Ti me ™a nd a
de co mp re ss or
a re ne ed ed to s ee th i s pi c tu re.
Graph 3x  4 y  24 .
3

NCSD Math Renewal, Algebra Assessments – Linear Equations
updated 1/10/2010
QUESTION
Which graph represents a linear equation?
A.
B.
ANSWER
LEVEL OF
DIFFICULTY
A
1
A
2
C.
Which table represents a linear equation?
A.
x
y
-1
5
0
3
1
1
2
-1
B.
x
y
-1
2
0
3
1
6
2
11
C.
x
y
0
1
1
2
2
4
The following table represents a linear relationship. Fill in the missing
values.
x
y
-2
16
-1
12
0
?
?
-8
5
?
NCSD Math Renewal, Algebra Assessments – Linear Equations
updated 1/10/2010
H.2A.2 Given a rule, a context, two points, a table of
values, a graph, or a linear equation in either
slope intercept or standard form, identify the
slope, determine the x and/or y intercept(s), and
interpret the meaning of each.
Unit: Linear Equations and
Inequalities
Target:
QUESTION
ANSWER
LEVEL OF
DIFFICULTY
Slope = 1
2
Slope = -2
y-intercept = 5
2
Slope = -2
y-intercept = 3
(-7/4, 0)
1
x: (-14, 0)
2
Identify the slope given 2 points (2, 4) and (8, 10)
Given the equation 4 x  2y  10 , identify the slope and
y-intercept.

Given the equation y  2x  3, find the slope and yintercept.
Given the equation y  4 x  7 , find the x-intercept.

Find the x and y intercepts from 2x  4 y  28 .

1
y: (0, 7)
Find the slope and the y-intercept

x
y
-1
-3
0
1
1
5
2
9
NCSD Math Renewal, Algebra Assessments – Linear Equations
Slope = 4
y-intercept = 1
2
updated 1/10/2010
QUESTION
Find the slope and the y-intercept.
ANSWER
LEVEL OF
DIFFICULTY
y   23 x  3
1

In the year 1950, there were 2000 record players in the
city of Milwaukie.
In the year 1975, there were 1500 record players.
In the year 2000, there were 1000 record players.
a. Does this data represent a linear relationship?
b. If so, what is the rate of change?
c. If this trend continues, in what year will there be zero
record players?
NCSD Math Renewal, Algebra Assessments – Linear Equations
updated 1/10/2010
NCSD Math Renewal, Algebra Assessments – Linear Equations
updated 1/10/2010
H.2A.3 Determine the equation of a line given any of the
following information: two points on the line, its
slope and one point on the line, or its graph. Also,
determine an equation of a new line parallel or
perpendicular to a given line, through a given point.
Unit: Linear Equations and
Inequalities
Target:
QUESTION
ANSWER
LEVEL OF
DIFFICULTY
y 7 x7
3
y 1 x3
1/2
y  3x  17
2
y  3x  7
1
y   13 x  5
2
y  3x  1
2
y  2x  4
2
y   23 x  3
2
Write an equation for the line given points (-4, 0), (3, 4)
4
Write an equation for the line given points (0, 3), (2, 4)

What is the equation of the line with a slope of -3 that passes
through the point (5, 2)?


Find the line parallel to the equation y  3x  5 with a y-intercept
of 7.

Find the line perpendicular to the equation y  3x  5 .

Find the line that is parallel to the equation y  3x  5 that
passes through the point (-2, -5).


Find the line perpendicular to the equation y   12 x  4 .


Write the equation of the line shown in the following graph.


2

NCSD Math Renewal, Algebra Assessments – Linear Equations
updated 1/10/2010
NCSD Math Renewal, Algebra Assessments – Linear Equations
updated 1/10/2010
H.2A.4 Fluently convert among representations of linear
relationships given in the form of a graph of a
line, a table of values, or an equation of a line in
slope-intercept and standard form.
Unit: Linear Equations and
Inequalities
Target:
QUESTION
Plot the points (5, -4), (0, 1) on a coordinate graph. Find
the slope and y-intercept. Then, write an equation for
the line.
ANSWER
LEVEL OF
DIFFICULTY
Slope = -1
y-intercept = 1
1
y  x  1

Plot the points (-3, 5), (3, 3) on a coordinate graph. Find
the slope and y-intercept. Then, write an equation for
the line.
Slope = -1/3
y-intercept = 4
2
y   13 x  4

NCSD Math Renewal, Algebra Assessments – Linear Equations
updated 1/10/2010
QUESTION
ANSWER
LEVEL OF
DIFFICULTY
Write the equation 5y  2x  10 in slope-intercept form.
y  25 x  2
2
Put the following equation into slope-intercept form.
Then find the slope and the y-intercept.


y  5x  8
slope = 5
y-intercept = 8
1
yx3
slope = 1
y-intercept = 3
1
5x  y  8

Put the following equation into slope-intercept form.
Then find the slope and the y-intercept.
x  y  3



Find the slope and y-intercept from the table. Then
write an equation in slope-intercept form.
QuickTime™ and a
decompressor
are needed to see this picture.
NCSD Math Renewal, Algebra Assessments – Linear Equations
Slope = 2
y-intercept = 6
y  2x  6
1
Slope = -2
y-intercept = 6
y  2x  6
1

Find the slope and y-intercept from the table. Then
write an equation in slope-intercept form.
QuickTime™ and a
decompressor
are needed to see this picture.
1

Find the slope and y-intercept from the table. Then
write an equation in slope-intercept form.
QuickTime™ and a
decompressor
are needed to see this picture.
Slope = 3
y-intercept = 6
y  3x  6

updated 1/10/2010
QUESTION
ANSWER
LEVEL OF
DIFFICULTY
Find the slope and y-intercept from the table. Then write an
equation in slope-intercept form.
Slope = -2
y-intercept = -6
y  2x  6
2
Slope = 1/5
y-intercept = 2
y  15 x  2
3
Slope = 2/5
y-intercept = 2
y  25 x  2
1
x
-4
-3
-2
-1
y
2
0
-2
-4

Find the slope and y-intercept from the table. Then write an
equation in slope-intercept form.
x
5
10
15
20
y
3
4
5
6

Find the slope and y-intercept from the table. Then write an
equation in slope-intercept form.
x
0
5
10
15
y
2
4
6
8
NCSD Math Renewal, Algebra Assessments – Linear Equations

updated 1/10/2010
ANSWER
QUESTION
LEVEL OF
DIFFICUL
TY
Fill in the missing parts of the table.
2
Equation
Table
x -1
y
0
Graph
1
2
y  2x  7

x -1 0 1 2
y 4 6 8 10
x -1
y
0
1
2
NCSD Math Renewal, Algebra Assessments – Linear Equations
updated 1/10/2010
H.2A.5 Given a linear function, interpret and analyze the
relationship between the independent and
dependent variables. Solve for x given f(x) or
solve for f(x) given x.
Unit: Linear Equations and
Inequalities
Target:
QUESTION
ANSWER
LEVEL OF
DIFFICULTY
Daisy Hill Amusement Park charges a $5 admission fee
plus $1.25 per ride.
2
a. Write an equation in intercept form (y = mx + b) to
describe the relationship between the cost, y, and the
number of rides, x.
b. Explain the real world meaning of the values of m
and b in your equation.
c. Lucy goes to the park with $13.75. How many rides
can she go on?
d. If Linus rides on 20 rides, how much did it cost him?
Charlie Brown burns 3.8 calories per minute when
jogging. He burned 240 calories prior to jogging.
2
a. Write an equation in intercept form (y = mx + b) to
describe the relationship between the total calories
burned, y, and the number of minutes, x.
b. Explain the real world meaning of the values of m
and b in your equation.
c. Charlie Brown burns a total of 450 calories. How
many minutes did he jog?
d. Charlie Brown jogs for 15 minutes. What is the total
amount of calories she had burned?
NCSD Math Renewal, Algebra Assessments – Linear Equations
updated 1/10/2010
QUESTION
ANSWER
LEVEL OF
DIFFICULTY
James spent the summer in Canada. Because Canada
uses the metric system, he wanted to be able to convert
Celsius temperatures to Fahrenheit temperatures. He
remembered from science class that the relationship
between the to systems is linear. He also remembered
that water freezes at 0 degrees Celsius, or 32 degrees
Fahrenheit, and it boils at 100 degrees Celsius, or 212
degrees Fahrenheit.
3
QuickTime™ and a
decompressor
are needed to see this picture.
a. Show how James could use this information to write
an equation for converting Celsius temperatures, C,
to Fahrenheit temperatures, F.
b. What is the Fahrenheit equivalent of 25 degrees
Celsius?
c. What is the Celsius equivalent of 59 degrees
Fahrenheit?
NCSD Math Renewal, Algebra Assessments – Linear Equations
updated 1/10/2010
H.2A.6 Analyze how changing the parameters
transforms the graph of f(x) = mx + b
Unit: Linear Equations and
Inequalities
Target:
QUESTION
Write an equation for a line that is perpendicular to
f (x)   23 x  2 .

Write an equation for a line that is parallel to
f (x)  3x  5 .
LEVEL OF
DIFFICULTY
3
f (x)  x  2
2
2
2

5
y  x3
2
Write an equation for a line that is perpendicular to
2
f (x)  x  3 .
5

ANSWER
3



Write an equation for a line that is steeper than
f (x)  3x  2
1
Write an equation for a line that intersects the y-axis
below f (x)  2x  2 .
1

NCSD Math Renewal, Algebra Assessments – Linear Equations
updated 1/10/2010
H.2A.7 Write, use, and solve linear equations and
inequalities using graphical and symbolic
methods with one or two variables.
Represent solutions on a coordinate graph or
number line.
Unit: Linear Equations and
Inequalities
Target:
QUESTION
NCSD Math Renewal, Algebra Assessments – Linear Equations
ANSWER
LEVEL OF
DIFFICULTY
updated 1/10/2010