2.2 Linear Relations and Functions
A. 27
16
B. 64
C. 9
D. 10
1
A.
1
B.
2
C.
D.
A.
B.
C.
D.
20 +
13
6n
31n
15 +5n
11n +20
4
3
0
A.
B.
C.
D.
A.
B.
C.
D.
20 +
11
6n
31n
15 +5n
11n +20
5
2
0
A.
B.
C.
D.
18
A.
B.
C.
D.
20 +
6n
31n
15 +5n
11n +20
2
0
A.
0
B.
C.
D.
5.89
DANIELLE MINOGUE 14.47
Eisenhauer Max
7.31
7.81
8.14
8.52
Wilson Riley
Sobel Autum
BLAKE BIALK
ANDREW
ALEXANDER
CHRISTINA
CAMPBELL
ALEX THOREN
BRADLEY MUGLER
MATTHEW SCOTT
KARLIE ZINGRONE
PAIGE CELESTIN
10.42
10.75
10.86
11.33
CASSONDRA
NELSON
ASHLEIGH MAURO
15.52
17.52
19.09
21.58
Target Goals: 1. Identify linear relations and functions.
2. Write linear equations in standard form.
ACT/PSAE Daily Review
1. By what factor does the volume of a rectangular prism increase if
its side lengths are doubled?
V  lwh
V = 84 in3
A.1
B. 2
C. 4
V  l  2  w h
D. 8
E. 16
2. You are building a scale model of the Sears Tower. If your model is
21 centimeters tall using the scale 1 cm: 25 m, what is the actual height
of the Sears Tower?
1cm 21cm

x  21 25
25m
x
A. 475 m
m
B. 482 m
C. 525 m
D. 546 m
E. 560
LINEAR RELATIONS –
Relations that have straight line graphs.
LINEAR EQUATION – y  mx  b
mult., +, or – a variable by a constant.
Examples of…
Linear Equations and
2
y   x 1
3
4 x  3 y  10
x  10
1
y x
2
Nonlinear Equations
2 x  6 y 2  25
y  x 2
5
x  xy  
8
1
y
x
State whether each function is a linear function.
Write yes or no and explain your answer.
5
Ex 2) f ( x) 
x4
3
1
Ex 1) g ( x)   x 
2
3
Yes, one variable is multiplied
No, the expression includes division
by a constant.
by a variable.
 Ex 3) p( x)  x  2
3
No, x is multiplied
by itself.
Ex 4)
The linear function f (C )  1.8C  32 can be used to find
the number of degrees Fahrenheit f (C) that are equivalent to
a given number of degree Celsius C. On the Celsius scale,
normal body temperature is 37°C. What is it in degrees
Fahrenheit?
F  c   1.8  37   32
F  c    66.6   32
= 98.6 F
STANDARD FORM of a LINEAR EQUATION 
Ax  By  C : A  0
A, B, C are integers
A and B not both 0
Write each equation in standard form. Identify A, B, and C.
Ex 5) 2 y  4 x  5
5
-5
2 y  5  4x
2 y
-2y
 5  4x  2 y
 Ex 6) 3x  6 y  9  0
9
A4
B  2
C  5
3x  6 y  9
A3
B  6
C 9
+9
Y-INTERCEPT  The point of intersection of the line
and the y axis. (x=0)
X-INTERCEPT 
The point of intersection of the line
and the x axis. (y=0)
Find the x-intercept and the y-intercept of the graph of the
linear equation. Then graph the equation.
Ex 7) 2 x  5 y  10  0
 Ex 8)  2 x  y  4  0