Name: ____________________________Class: ________
Linear Relations Summative Assessment Self-Test
General Outcome:
Specific Outcome:
Patterns and Relations
Use patterns to describe the world and to solve problems.
PR1. Generalize a pattern arising from a problem-solving context, using a linear equation, and verify
by substitution.
PR2. Graph a linear relation, analyze the graph, and interpolate or extrapolate to solve problems.
Use the figures to answer the following 4 questions.
1. Which table of values represents the number of dots in the pattern?
a.
c.
b.
d.
2. Which linear equation represents the relationship between figure number (f) and the number of dots (n) in
the figure?
a.
c.
b.
d.
3. How many dots are in the sixth figure?
a. 11
c. 32
b. 17
d. 35
4. Which table of values represents a horizontal line?
a.
b.
c.
d.
Name: ____________________________Class: ________
5. Which linear relation is represented by the following graph?
a.
b.
c.
d.
6. Look at the following graphs.
a. Create a table of values for each graph.
z
y
z
y
b. Write a linear equation to represent each table of values
z
y
Name: ____________________________Class: ________
Matching
7.
a.
b.
c.
d.
e.
linear relation
variable
linear equation
interpolate
extrapolate
i.
ii.
iii.
iv.
v.
an equation whose graph is a straight line
a symbol (usually a letter) in mathematical expressions and equations
a relation that appears as a straight line when graphed
to estimate a value between two given values
to estimate a value beyond a set of given values
8. Write an equation for each table of values:
g
0
1
2
3
4
h
-3
6
15
24
33
z
1
2
3
4
5
y
7.2
8.9
10.6
12.3
14.0
x
5
6
7
8
9
y
-9.5
-12.7
-15.9
-19.1
-22.3
9. Create a table of values for each equation using values -2 to 2 as the x values.
yx
y  3x  4
 1.2 x  8  y
x
3
6
9
12
15
y  4 x  3.6
y
12
24
36
48
60
Name: ____________________________Class: ________
10. Use this linear graph to answer the following questions.
Approxiametly how much does it cost to copy 20
pages?
Approxiametly how much does it cost to copy 45
pages?
Approxiametly how many copies could you copy for
$2.25?
Approxiametly how many copies could you copy for
$3.25?
11. The letter Z is constructed from dots. The first three diagrams are shown below.
a. Draw the next two figures.
b. Create a table of values showing the relationship between the figure number, f, and the number of dots,
d, for the first four figures.
How many dots will be in figure 87?
What figure will have 223 dots?
Name: ____________________________Class: ________
12. Your school is ordering new school jackets. There is a flat fee of $350 for the crest design plus $75 per
jacket.
a. What is an equation that can be used to predict the cost, c, of producing any number of jackets, n?
b. What is the cost of producing 532 jackets?
c. What is the exact cost per jacket if 750 jackets are ordered?
13. Match each graph to its linear equation
14. Which equation describes the graph below?
a.
y  2 x  3
b.
y  2x  3
c.
y  3x  2
d.
y  3x  2
Name: ____________________________Class: ________
14. Make a linear equation to represent each graph.