DashboardNewsSettingsHelp
Get Premium
Dashboard
Dashboard Sign out
Pearson Algebra 1 Common Core, 2011
PA
Pearson Algebra 1 Common Core, 2011 View details
1. Solving One-Step Equations
Continue to next subchapter

Exercise 42 Page 85

How can we isolate q on one side of the equation?

q=27

Practice makes perfect

To isolate q, we need to eliminate its coefficient with the multiplication and division Properties of Equality.

2/3q=18
MoveRightFacToNum

a/c* b = a* b/c

2q/3=18
MultEqn

LHS * 3=RHS* 3

2q/3* 3=18* 3
FracMultDenomToNumber

a/3* 3 = a

2q=18* 3
DivEqn

.LHS /2.=.RHS /2.

2q/2=18* 3/2
CalcQuot

Calculate quotient

q=18* 3/2
ReduceFrac

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

q=9* 3
Multiply

Multiply

q=27

The solution is q=27. We can test this solution by substituting it into the original equation.

2q/3=18
Substitute

q= 27

2* 27/3? =18
MultEqn

LHS * 3=RHS* 3

2* 27/3* 3? =18* 3
FracMultDenomToNumber

a/3* 3 = a

2* 27? =18* 3
Multiply

Multiply

54=54

The left-hand side and right-hand side are equal, so q=27 is the correct solution.

Subchapter links expand_more
arrow_right Lesson Check p.85
1
Lesson Check 2 (Page 85)
Lesson Check 3 (Page 85)
4
5
6
7
8
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)
50
51
52
53
54
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)
70
71
72
73
74
75
76
77
78
arrow_right Standardized Test Prep p.87
79
80
81
arrow_right Mixed Review p.87
82
83
84
85
Mixed Review 86 (Page 87)
Mixed Review 87 (Page 87)
Mixed Review 88 (Page 87)