Algebra I Chapter 4 Section 1, 3, and 4 Quiz Review Guide Solutions
Homework problems and class examples are a good resource for studying. The following is a list of the major
concepts that are being covered on the quiz and what the students should expect to do on the quiz for each
concept.
Coordinate Plane:
Relations
 Identify the coordinates of a point
 Represent a relation as a …
o Set of ordered pairs
 Graph a point on the coordinate plane
o Table
 Identify the quadrant of a point
o Graph
o Mapping
 x1  x 2 y1  y 2 
,

Midpoint Formula: 
 Find the Inverse of a relation
2 
 2
 Identify the Domain and Range
 Find the midpoint of two points
Find the solution set of an equation given…
 Replacement set
 Domain
 Solve for the dependent variable
Practice Problems
1) What quadrant are each of the point located in?
o (-5, 5): Quadrant II
o (3, 0): No Quadrant
o (13, 9): Quadrant I
o (0, -4) : No Quadrant
2) What is the midpoint of…
o (-5, 5) and (13, 9): Midpoint = (4, 7)
o (-5, 7): Quadrant II
o (3, -2): Quadrant IV
o (3, -4) and (-7, 6): Midpoint = (-2, 1)
3) Starting at the point (2, -3). If you go up 3, left 5, down 7 and right 2, then what point
do you end up at?
Start (2, -3); Up 3 = (2, 0); Left 5 = (-3, 0); Down 7 (-3, -7); Right 2 (-1, -7)
Solution: (-1, -7)
4) For the given relation (set of ordered pairs): {(0,3), (-2,4), (1, 5), (4, -3), (-1, -3)}
o Write the relation as TABLE.
o Write the relation as a MAPPING.
X
Y
X
Y
0
3
0
3
-2
4
1
5
-2
4
4
-3
1
-1
-3
5
4
o What is the DOMAIN and RANGE of the relation?
-3
-1
Domain = {0, -2, 1, 4, -1}
Range = {3, 4, 5, -3}
o What is the INVERSE of the relation?
Inverse = {(3,0), (4, -2), (5, 1), (-3, 4), (-3, -1)}
5) Find the SOLUTION SET given the replacement set {(0, -2), (-1, 4), (3, 2), (1, 1), (2, 4)}
and equation y = 3x – 2.
X
Y
Equation y = 3x -2
Solution?
0
-2
-2 = 3(0) – 2
Yes
-1
4
4 = 3(-1) – 2
No
3
2
2 = 3(3) – 2
No
1
1
1 = 3(1) – 2
Yes
2
4
4 = 3(2) – 2
Yes
o Write the SOLUTION SET from as a
TABLE.
X
Y
0
-2
1
1
2
4
o Write the SOLUTION SET from as a
MAPPING.
X
Y
0
1
2
-2
1
4
o Write the INVERSE of the solution set as ordered pairs.
Inverse of Solution Set = {(-2, 0), (1, 1), (4, 2)}
6) Solve the equation 4x + 2y = 8 for the given domain = {-3, -1, 0, 2, 4}.
X
4x + 2y = 8 or y = 4 – 2x
Y
-3 4 – 2(-3)
10
-1 4 – 2(-1)
6
0
4 – 2(0)
-2
2
4 – 2(2)
2
4
4 – 2(4)
0
o Write the SOLUTION SET from as a set as ordered pairs.
Solution Set: (-3, 10), (-1, 6), (0, 4), (2, 0), (4, -4)
o Write the INVERSE of the solution set
as TABLE.
X
Y
10
-3
6
-1
4
0
0
2
-4
4
o Write the INVERSE of the solution set
as MAPPING.
X
Y
10
6
4
0
-4
-3
1
0
2
4