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Envision Math 2.0: Grade 8, Volume 1

EM

Envision Math 2.0: Grade 8, Volume 1 View details

2. Connect Respresentations of Functions

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Exercise 14 Page 170

Substitute 9, 6, 0, and - 3 for y in the given linear function and then solve for x.

x	4	2	- 2	- 4
y	9	6	0	- 3

Practice makes perfect

We are given a linear function and asked to complete a table of values given some y-values.

x
y	9	6	0	- 3

To do it, we should substitute 9, 6, 0, and - 3 for y in the given function and then solve for x. Let's start with 9.

y=3/2x+3

y= 9

9=3/2x+3

LHS-3=RHS-3

9-3=3/2x+3-3

Subtract terms

6=3/2x

LHS * 2/3=RHS* 2/3

6* 2/3=3/2x* 2/3

CommutativePropMult

Commutative Property of Multiplication

6* 2/3=3/2* 2/3* x

MultFracByInverse

a/b* b/a=1

6* 2/3=1* x

Identity Property of Multiplication

6* 2/3=x

MoveLeftFacToNum

a*b/c= a* b/c

6* 2/3=x

Multiply

12/3=x

Calculate quotient

4=x

Rearrange equation

x=4

Now, let's do the same thing for the rest of the values.

x	4	2	- 2	- 4
y	9	6	0	- 3

Subchapter links

Do You Understand? p.168

Do You Know How? p.168

Practice & Problem Solving p.169-170

Assessment Practice p.170