Unit 1 Lesson 9 Using Calculator to Find Equivalent Expressions
Math Workshop Mrs. Hofsted
Name: ______________________
Essential Question: How can you use the calculator to see if 2 expressions are equivalent?
Word
Definition
How I Can Remember
binomial
factored
form
Introduction: This unit has focused on simplifying expressions. We have used the Distribution
Property to simplify expressions. In this lesson, we will use the Distribution Property to multiply two
binomials. We will also learn how to use a graphing calculator to see if two expressions are equivalent.
Multiplying Binomials: Convert each factored form expression by multiplying the binomials.
IMPORTANT: ( + 4)( − 3) is equivalent to
+
− 12
You try part b.
Which two expressions from part b are equivalent? ___________________ and __________________
Finding Equivalent Expressions Using a Graphing Calculator
Which of the following is x 2 + 12 x + 36 in factored form?
A. ( x + 13)( x + 36)
C. ( x − 3)( x − 12)
B. ( x + 6)( x + 6)
D. ( x + 9)( x + 4)
Which of the following expressions is equivalent to ( 4 x − 2)(6 x + 8) ? Circle all that apply.
A. 10 x 2 − 20 x − 8
D. 4(6 x 2 + 5 x − 4)
B. 24 x 2 + 20 x − 16
E. 2( 2 x − 1)(6 x + 4) + 8
C. 4( x − 1)(3 x + 4)
F. 4(3 x + 4)( 2 x − 1)
Which of the following functions is equivalent to h( x) = ( x − 2) 2 − 5 ?
A. d ( x) = x 2 − 4 x + 5
C. g ( x) = x 2 + 5
B. w( x) = x 2 + 4 x − 5
D. q ( x) = x 2 − 4 x − 1
Which of the following expressions represents the area of the rectangle below?
x+5
x+8
A. 2( x + 8 + 5)
C. x 2 + 40 x + 40
B. ( x + 5) + 2( x + 8)
D. x 2 + 13 x + 40
Which of the following are equivalent to 6 x 4 y 9 ? Circle all that apply.
(
) (6 y )
(
)(
A. 1xy 2
(
4
B. 2 x 3 y 5 3 xy 4
)(
D. 3 x 2 y 4 2 xy 4
)
(
)(
)
(
)
E. 3 xy 8 2 x 3 y
( )( )
F. (6 xy ) 1x 3 y 8
C. 3 x 4 2 y 9
(
)(
)
Which of the following is equivalent to 5 x 2 y 4 x 4 y 3 ?
A. 9 x 6 y 4
C. 20 x 8 y 3
B. 9 x 6 y 3
D. 20 x 6 y 4
)
Circle TRUE or FALSE to indicate if the expression has been simplified correctly.
a.
4x 5
= 2x 4
2x
TRUE
c.
FALSE
 x3 
x6
d.   =
6
 3 
TRUE
FALSE
TRUE
FALSE
2
2
4x 2
 2x 
b. 
 =
81
 9 
4x8
= 4x5
3
x
FALSE
TRUE
Circle TRUE or FALSE to indicate if the expression has been simplified correctly.
2x 2
a. −5 = 2 x 7
x
TRUE
FALSE
5x 5
c.
= 2x3
2
10 x
FALSE
 5x 
10 x 2
d.  2  =
y4
y 
TRUE
Which of the following is equal to the expression shown to the right?
A. 9 p
B. 81p 6
C. 81p 2
TRUE
 9 p2 
 −1 
 p 
B. 3x − 11
C. 3x − 7
D. 3x + 4
Which of the following expressions have a value of 10? Circle all that apply.
A. 3 − 2 + 6 + 36
B.
2(4 + 1)
+8
5
D. 5( 2 + 3) − 15
E.
−3+8 +
24
4
C. 2 +
F.
2
D. 9 p 6
Which of the following expressions is 3( x + 5) − 11 in simplest form?
A. 3x − 5
FALSE
2
2
 3x 3 
9x 6
 =
b. 

4
 2 
TRUE
42
2
− 13 − 5
32
+ 4⋅2
FALSE