Download is the xy plane

MFM2P
Get Ready
1. Give the next three numbers in each pattern
a. 1, 4 ,7 ,___ ,___ ,___
b. -2, 2, 6, ___, ___, ___
c. 9, 4, -1, ___, ___, ___
d. 1 ,1 ,2
1
2
3
4
2. Provide the missing numbers to create a pattern.
a. 4, ___, 12, ___, 20
b. 33, ___, 21, ___, 9
c. 49, 42, ___, 28, ___
d. 11, 22, ___, 44, ___
3. Evaluate. Express your answer as a fraction in lowest terms.
a.
5 1
32
b.
7  (3)
1  (1)
c.
3  (2)
 4  (2)
6. Write an algebraic expression in terms of x to represent each.
a. 5 more than a number
b. 6 less than a number
c. a number exceeded by 10
d. a number increased by 20
e. one half a number
f. 3 more than twice a number
g. three times a number less 2
h. 14 less than one third of a number
Lesson 1.1: Linear Relations
Cartesian Plane: is the xy plane
Quadrants: the x-axes and y-axes divide the Cartesian plane into four regions. The axes
themselves do not belong to any of the quadrants.
Coordinate: the coordinates of a point on the Cartesian plane form an ordered pair (x,y)
and describes the location of that point on the plane
Relations: is a pattern that connects two sets of data.








x-axis
y-axis
scale
origin (0,0)
first quadrant
second quadrant
third quadrant
fourth quadrant
Which quadrant does each coordinate belong to?
a)
b)
c)
d)
e)
(3, 4)
(-4, 7)
(-8, 2)
(5, 0)
(7, -6)
Linear Relations:

If, as values of x increase by regular increments, the corresponding values for y
also change by regular increments.

The graph of a linear relation will be a straight line.
Example – Are any of the following linear?
a)
b)
c)
x
y
-2
0
2
4
4
8
12
16
d) {(3, 2), (6, 6), (9, 12), (12, 16)}
TtBk Work: 1 to 16 – Complete on a separate piece of paper
Plot each point on a Cartesian plane, and state which quadrant it is is.
1. A(3,-1)
2. B(-2,-4)
3. C(-3,2)
4. D(5,2)
5. E(2,0)
6. F(0,-3)
7. G(0,4)
8. H(-3,0)
For each Table Of Values (TOV), find the next three values of x and their corresponding
y-values
9.
x
0
1
2
y
4
6
8
10.
x
3
1
-1
y
1
5
9
11.
x
-5
0
5
y
-4
-1
2
12.
x
-3
-5
-7
y
1
-4
-9
Determine if each set represents a linear function.
13. {(4,5), (2,3), (0,1), (-2,-1)}
14. {(2,-3), (3,-2), (4,-1), (5,0)}
15. {(-11,8), (-4,8), (3,8), (10,8)}
16. {(2,2), (5,2), (8,2), (11,2)}