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Pearson Algebra 1 Common Core, 2011
PA
Pearson Algebra 1 Common Core, 2011 View details
1. Solving One-Step Equations
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Exercise 46 Page 85

Isolate x on one side of the equation.

10/7

Practice makes perfect

To solve the equation, we have to isolate x. Using the Multiplication Property of Equality, we will multiply both sides of the equation by the reciprocal of the coefficient of the variable x. This will eliminate the fraction and isolate x.

1/5x=2/7
MultEqn

LHS * 5/1=RHS* 5/1

1/5x * 5/1=2/7 * 5/1
CommutativePropMult

Commutative Property of Multiplication

5/1 * 1/5 * x=2/7 * 5/1
MultFracByInverse

a/b* b/a=1

1 * x=2/7 * 5/1
IdPropMult

Identity Property of Multiplication

x=2/7 * 5/1
MultFrac

Multiply fractions

x=5 * 2/1 * 7
Multiply

Multiply

x=10/7

Therefore, x= 107 is the solution to the equation. To check that this is correct, we can substitute x= 107 into the original equation and then simplify.

1/5x=2/7
Substitute

x= 10/7

1/5* 10/7? =2/7
MultFrac

Multiply fractions

1* 10/5* 7? =2/7
Multiply

Multiply

10/35? =2/7
ReduceFrac

a/b=.a /5./.b /5.

10/5/35/5? =2/7
CalcQuot

Calculate quotient

2/7=2/7 ✓

Since both sides are equal, x= 107 is the correct solution.

Subchapter links expand_more
arrow_right Lesson Check p.85
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Lesson Check 2 (Page 85)
Lesson Check 3 (Page 85)
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Lesson Check 9 (Page 85)
arrow_right Practice and Problem-Solving Exercises p.85-87
Practice and Problem-Solving Exercises 10 (Page 85)
Practice and Problem-Solving Exercises 11 (Page 85)
Practice and Problem-Solving Exercises 12 (Page 85)
Practice and Problem-Solving Exercises 13 (Page 85)
Practice and Problem-Solving Exercises 14 (Page 85)
Practice and Problem-Solving Exercises 15 (Page 85)
Practice and Problem-Solving Exercises 16 (Page 85)
Practice and Problem-Solving Exercises 17 (Page 85)
Practice and Problem-Solving Exercises 18 (Page 85)
Practice and Problem-Solving Exercises 19 (Page 85)
Practice and Problem-Solving Exercises 20 (Page 85)
Practice and Problem-Solving Exercises 21 (Page 85)
Practice and Problem-Solving Exercises 22 (Page 85)
Practice and Problem-Solving Exercises 23 (Page 85)
Practice and Problem-Solving Exercises 24 (Page 85)
Practice and Problem-Solving Exercises 25 (Page 85)
Practice and Problem-Solving Exercises 26 (Page 85)
Practice and Problem-Solving Exercises 27 (Page 85)
Practice and Problem-Solving Exercises 28 (Page 85)
Practice and Problem-Solving Exercises 29 (Page 85)
Practice and Problem-Solving Exercises 30 (Page 85)
Practice and Problem-Solving Exercises 31 (Page 85)
Practice and Problem-Solving Exercises 32 (Page 85)
Practice and Problem-Solving Exercises 33 (Page 85)
Practice and Problem-Solving Exercises 34 (Page 85)
Practice and Problem-Solving Exercises 35 (Page 85)
Practice and Problem-Solving Exercises 36 (Page 85)
Practice and Problem-Solving Exercises 37 (Page 85)
Practice and Problem-Solving Exercises 38 (Page 85)
Practice and Problem-Solving Exercises 39 (Page 85)
Practice and Problem-Solving Exercises 40 (Page 85)
Practice and Problem-Solving Exercises 41 (Page 85)
Practice and Problem-Solving Exercises 42 (Page 85)
Practice and Problem-Solving Exercises 43 (Page 85)
Practice and Problem-Solving Exercises 44 (Page 85)
Practice and Problem-Solving Exercises 45 (Page 85)
Practice and Problem-Solving Exercises 46 (Page 85)
Practice and Problem-Solving Exercises 47 (Page 85)
Practice and Problem-Solving Exercises 48 (Page 85)
Practice and Problem-Solving Exercises 49 (Page 85)
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Practice and Problem-Solving Exercises 55 (Page 86)
Practice and Problem-Solving Exercises 56 (Page 86)
Practice and Problem-Solving Exercises 57 (Page 86)
Practice and Problem-Solving Exercises 58 (Page 86)
Practice and Problem-Solving Exercises 59 (Page 86)
Practice and Problem-Solving Exercises 60 (Page 86)
Practice and Problem-Solving Exercises 61 (Page 86)
Practice and Problem-Solving Exercises 62 (Page 86)
Practice and Problem-Solving Exercises 63 (Page 86)
Practice and Problem-Solving Exercises 64 (Page 86)
Practice and Problem-Solving Exercises 65 (Page 86)
Practice and Problem-Solving Exercises 66 (Page 86)
Practice and Problem-Solving Exercises 67 (Page 86)
Practice and Problem-Solving Exercises 68 (Page 86)
Practice and Problem-Solving Exercises 69 (Page 86)
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arrow_right Standardized Test Prep p.87
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arrow_right Mixed Review p.87
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Mixed Review 86 (Page 87)
Mixed Review 87 (Page 87)
Mixed Review 88 (Page 87)