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Linear Equations Quiz Review KEY
Section 1: Vocabulary Fill in the correct word(s) using the word bank below.
1)
The __ origin __________ is the point of intersection of the x and y axes.
2)
The quadrants are always labeled with ____ Roman __________ numerals.
3)
The x-axis is a ____ horizontal _____ number line.
4)
A ____relation_______ is any set of ordered pairs.
5)
The __ x-coordinate ____ is the first number in an ordered pair.
6)
The ___ domain __________ is the set of all inputs or x-values.
7)
A special relation in which each input (x) is paired with only one output (y) is a __ function __.
8)
The __ range ____ is the set of all outputs or y-values.
9)
A ______ linear _____ equation graphs as a line.
10)
The ____ vertical line___ test can be used to determine if a relation is a function.
11)
The solutions to an equation with two variables are written as __ ordered pairs _____.
12)
The ___ independent ____ variable is graphed on the x-axis.
13)
A linear equation has an ___ infinite number of solutions.
14)
The __dependent______variable is graphed on the y-axis.
Section 2: Relations
15)
Express the relation shown in the graph as a set of ordered pairs.
 3,0 ,  3,2 ,  1, 2 , 0,4 ,1, 1 , 3,1
16)
Define the domain of a relation: _the list of inputs (x-values)________
17)
What is the domain of the relation (see the graph above).
Domain:
3, 1,0,1,3
18)
Define the range of a relation: _the list of outputs (y-values)___
19)
What is the range of the relation (see the graph above).
Range:
20)
0,2, 2,4, 1,1
Is this relation a function? Yes or No. because -3 is used twice as an x-value, OR because
a vertical line touches the graph twice.
21)
Is the relation in this table a function?
x
y
3
1
6
9
7
5
6
1
22)
Is the relation a function?
 0,1 ,  2,3 , 1,00, 4
10
2
Yes or No
Yes or No
Why or why not?:Zero is used twice in the
Why or why not?:each x-value is used only
domain.
once
Section 3: Graphing Linear Equations
23)
Find 3 solutions to the equation y  3 x  1 . Use -1, 0, and 1 for your domain. Then graph the
equation in the coordinate plane at the right.
x
-1
0
1
24)
y
4
1
-2
2
x  2 . Use -3, 0, and 3 as your domain. Then graph the
3
equation in the coordinate plane at the right.
Find 3 solutions to the equation y 
x y
-3 -4
0 -2
3 0
25)
Is (2,8) a solution to the equation y  4 x  8 ? Yes or No
26)
Is (-2,-2) a solution to the equation y  3x  8 ? Yes or No
27)
Graph the line x  2 . Is this line a function? Yes or No? No, because it does not pass the
vertical line test.
x y
2 -1
2 0
2 1
ht in feet
Represent the relation as a graph (label your axes!):
5 10 15
28)
x 1
y 5
2
10
3
15
Represent the relation as a set of ordered pairs:
1,5 ,  2,10 , 3,15 , 5,25
29)
25
5
25
Represent the relation as a table:
1
30)
2
3 4 5
# of days
Is “x” the dependent or independent variable in this relation? The # of days (x) is chosen
first. It is used to calculate the height.
31)
Is “y” the input or output in this relation? After choosing the input (x), the output (y) is
calculated.