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Big Ideas Math: Modeling Real Life, Grade 8
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Big Ideas Math: Modeling Real Life, Grade 8 View details
Chapter Review
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Exercise 2 Page 33

Use the Division Property of Equality.

n = - 8

Practice makes perfect
To solve the equation, we have to isolate n on one side. Using the Division Property of Equality, we will divide both sides of the equation by - 0.4. This will isolate n.
3.2 = - 0.4n
DivEqn

.LHS /(- 0.4).=.RHS /(- 0.4).

3.2/- 0.4 = - 0.4n/- 0.4
CancelCommonFac

Cancel out common factors

3.2/- 0.4 = - 0.4n/- 0.4
SimpQuot

Simplify quotient

3.2/- 0.4 = n
MoveNegDenomToFrac

Put minus sign in front of fraction

- 3.2/0.4 = n
ExpandFrac

a/b=a * 10/b * 10

- 32/4 = n
CalcQuot

Calculate quotient

- 8 = n
RearrangeEqn

Rearrange equation

n = - 8
To check that this solution is correct, let's substitute n = - 8 into the original equation and simplify.
3.2 = - 0.4n
Substitute

n= - 8

3.2 ? = - 0.4(- 8)
MultNegNegOnePar

- a(- b)=a* b

3.2 ? = 0.4(8)
Multiply

Multiply

3.2 = 3.2 âś“
Since the left-hand side and right-hand side are equal, n=- 8 is the correct solution.
Subchapter links expand_more
arrow_right 1 Solving Simple Equations p.33
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Solving Simple Equations 2 (Page 33)
Solving Simple Equations 3 (Page 33)
Solving Simple Equations 4 (Page 33)
Solving Simple Equations 5 (Page 33)
Solving Simple Equations 6 (Page 33)
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arrow_right 2 Solving Multi-Step Equations p.34
Solving Multi-Step Equations 12 (Page 34)
Solving Multi-Step Equations 13 (Page 34)
Solving Multi-Step Equations 14 (Page 34)
Solving Multi-Step Equations 15 (Page 34)
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arrow_right 3 Solving Equations with Variables on Both Sides p.34-35
Solving Equations with Variables on Both Sides 19 (Page 34)
Solving Equations with Variables on Both Sides 20 (Page 34)
Solving Equations with Variables on Both Sides 21 (Page 34)
Solving Equations with Variables on Both Sides 22 (Page 34)
Solving Equations with Variables on Both Sides 23 (Page 34)
Solving Equations with Variables on Both Sides 24 (Page 34)
Solving Equations with Variables on Both Sides 25 (Page 34)
Solving Equations with Variables on Both Sides 26 (Page 34)
Solving Equations with Variables on Both Sides 27 (Page 34)
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arrow_right 4 Rewriting Equations and Formulas p.35
Rewriting Equations and Formulas 30 (Page 35)
Rewriting Equations and Formulas 31 (Page 35)
Rewriting Equations and Formulas 32 (Page 35)
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Rewriting Equations and Formulas 34 (Page 35)
Rewriting Equations and Formulas 35 (Page 35)
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