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Transcript 
EVALUATING ALGEBRAIC
EXPRESSIONS
Lesson 20
WARM UP
Simplify
 156 + 83 – (25 x 10) ÷ 2


240 – 656 ÷ 23
WARM UP- SOLUTION
Simplify
 156 + 83 – (25 x 10) ÷ 2







156 + 83 – 250 ÷ 2
156 + 512 – 250 ÷ 2
156 + 512 – 125
668 – 125
543
240 – 656 ÷ 23
240 – 656 ÷ 8
 240 – 82
 158

EXAMPLE 1

If f (x) = 5x2 – 7, what is f (-3)?
A. -52
B. -22
C. 38
D. 45
EXAMPLE 1- SOLUTION

If f (x) = 5x2 – 7, what is f (-3)?
A. -52
B. -22
C. 38
D. 45
EXAMPLE 2
Yvonne has studied the cost of tickets over time
for her favorite sports team. She has created a
model to predict the cost of a ticket in the future.
Let C represent the cost of a ticket in dollars and
y represents the number of years in the future.
Her model is as follows. C = 2.50y + 13
 Based on this model, how much will the cost of a
ticket increase in two years?
A. $5
B. $8
C. $13
D. $18
E. $26

EXAMPLE 2- SOLUTION
Yvonne has studied the cost of tickets over time
for her favorite sports team. She has created a
model to predict the cost of a ticket in the future.
Let C represent the cost of a ticket in dollars and
y represents the number of years in the future.
Her model is as follows. C = 2.50y + 13
 Based on this model, how much will the cost of a
ticket increase in two years?
A. $5
B. $8
C. $13
D. $18
E. $26

EXAMPLE 3

If f(x) = -2x + 3, what is f(-4)?
A. -5
B. -1
C. 5.5
D. 11
EXAMPLE 3- SOLUTION

If f(x) = -2x + 3, what is f(-4)?
A. -5
B. -1
C. 5.5
D. 11
EXAMPLE 4
What is the range of the function f(x) = 3x – 1
when the domain is {-1, 0, 1}?
A. {-1, 2}
B. {-1, 0, 1}
C. {1, 2, 4}
D. {-4, -1, 2}

EXAMPLE 4-SOLUTION
What is the range of the function f(x) = 3x – 1
when the domain is {-1, 0, 1}?
A. {-1, 2}
B. {-1, 0, 1}
C. {1, 2, 4}
D. {-4, -1, 2}

EXAMPLE 5

If f ( x ) = –2x2 + x – 5, what is f (3)?
A. –20
B. –14
C. 16
D. 34
EXAMPLE 5- SOLUTION

If f ( x ) = –2x2 + x – 5, what is f (3)?
A. –20
B. –14
C. 16
D. 34

EXAMPLE 6
2
3 x
 If f (x) 
3 x
A. -2
B. -1
C. 1
D. 2
,what is f(2)?

EXAMPLE 6- SOLUTION
2
3  x ,what is f(2)?
 If f (x) 
3 x
A. -2
B. -1
C. 1
D. 2
EXAMPLE 7
The following equation defines a function of x.
f(x) = -2x + 3
If (6, n) is an element of the function, what is the
value of n?
A. -9
B. -6
C. -4
D. 0

EXAMPLE 7- SOLUTION
The following equation defines a function of x.
f(x) = -2x + 3
If (6, n) is an element of the function, what is the
value of n?
A. -9
B. -6
C. -4
D. 0

EXAMPLE 8

If f(x) = 3x2 + 2x – 1, what is f(0)?
A. -1
B. 0
C. 1
D. 4
EXAMPLE 8- SOLUTION

If f(x) = 3x2 + 2x – 1, what is f(0)?
A. -1
B. 0
C. 1
D. 4
EXAMPLE 9

A rational expression is shown below.
y y
6
4
What is the value of the expression when y = 3?
A. 9
B. 3
C. 6
D. 1/2

3
EXAMPLE 9- SOLUTION

A rational expression is shown below.
y y
6
4
What is the value of the expression when y = 3?
A. 9
B. 3
C. 6
D. 1/2

3
EXAMPLE 10

What is the value of the expression
if x = 4, y = 2, and z = 2?
A. 5
B. 9
C. 10
D. 16

xy  z
z
EXAMPLE 10-SOLUTION

What is the value of the expression
if x = 4, y = 2, and z = 2?
A. 5
B. 9
C. 10
D. 16

xy  z
z
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