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Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

Maintaining Mathematical Proficiency

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Exercise 9 Page 585

Gather all of the variable terms on one side of the equation and all of the constant terms on the other side.

z=-3/4

Practice makes perfect

To solve an equation, we should first gather all of the variable terms on one side of the equation and all of the constant terms on the other side using the Properties of Equality.

z-2=4+9z

LHS-z=RHS-z

z-2-z=4+9z-z

Subtract terms

-2 = 4+8z

LHS-4=RHS-4

-2 -4= 4+8z-4

Subtract terms

-6 = 8z

.LHS /8.=.RHS /8.

-6/8=8z/8

Calculate quotient

-6/8=z

Rearrange equation

z=-6/8

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Simplify right-hand side

MoveNegNumToFrac

Put minus sign in front of fraction

z=-6/8

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

z=-3/4

The solution to the equation is z=- 34.

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Exercises p.585