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Core Connections Algebra 2, 2013
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Core Connections Algebra 2, 2013 View details
2. Section 4.2
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Exercise 67 Page 188

Practice makes perfect
a

Rewriting any linear equation so that it can be entered into a graphing calculator requires us to isolate the y-variable. To do this, we will use the Properties of Equality to apply inverse operations on the equation.

5-(y-3)=3x
Distr

Distribute (-1)

5-y+3=3x
AddTerms

Add terms

8-y=3x
AddEqn

LHS+y=RHS+y

8=y+3x
SubEqn

LHS-3x=RHS-3x

-3x+8=y
RearrangeEqn

Rearrange equation

y=-3x+8
b

Rewriting any linear equation so that it can be entered into a graphing calculator requires us to isolate the y-variable. To do this, we will use the Properties of Equality to apply inverse operations on the equation.

4(x+y)=-2
DivEqn

.LHS /4.=.RHS /4.

(x+y)=-2/4
MoveNegNumToFrac

Put minus sign in front of fraction

(x+y)=-2/4
ReduceFrac

a/b=.a /2./.b /2.

(x+y)=-1/2
RemovePar

Remove parentheses

x+y=-1/2
SubEqn

LHS-x=RHS-x

y=- x-1/2
Subchapter links expand_more
arrow_right 4.2.1 Solving Inequalities with One or Two Variables p.188-190
65
Solving Inequalities with One or Two Variables 66 (Page 188)
Solving Inequalities with One or Two Variables 67 (Page 188)
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Solving Inequalities with One or Two Variables 69 (Page 188)
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Solving Inequalities with One or Two Variables 71 (Page 189)
Solving Inequalities with One or Two Variables 72 (Page 189)
Solving Inequalities with One or Two Variables 73 (Page 189)
Solving Inequalities with One or Two Variables 74 (Page 189)
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Solving Inequalities with One or Two Variables 77 (Page 190)
Solving Inequalities with One or Two Variables 78 (Page 190)
arrow_right 4.2.2 Using Systems to Solve a Problem p.193-194
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Using Systems to Solve a Problem 84 (Page 193)
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Using Systems to Solve a Problem 86 (Page 193)
Using Systems to Solve a Problem 87 (Page 194)
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arrow_right 4.2.3 Application of Systems of Linear Inequalities p.197-198
Application of Systems of Linear Inequalities 92 (Page 197)
Application of Systems of Linear Inequalities 93 (Page 197)
Application of Systems of Linear Inequalities 94 (Page 198)
Application of Systems of Linear Inequalities 95 (Page 198)
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Application of Systems of Linear Inequalities 97 (Page 198)
arrow_right 4.2.4 Using Graphs to Find Solutions p.200-201
Using Graphs to Find Solutions 99 (Page 200)
Using Graphs to Find Solutions 100 (Page 201)
Using Graphs to Find Solutions 101 (Page 201)
Using Graphs to Find Solutions 102 (Page 201)
Using Graphs to Find Solutions 103 (Page 201)
Using Graphs to Find Solutions 104 (Page 201)
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