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Big Ideas Math Integrated I, 2016
BI
Big Ideas Math Integrated I, 2016 View details
Chapter Review
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Exercise 9 Page 44

Isolate the variable w on one side of the equation.

w=25/4

Practice makes perfect

To solve the equation, we need to isolate the variable w on one side by using Properties of Equality. In this case, let's start by adding 4 to left- and right-hand sides of the equation.

6=1/5w+7/5w-4
AddEqn

LHS+4=RHS+4

10=1/5w+7/5w
AddFrac

Add fractions

10=8/5w
MultEqn

LHS * 5=RHS* 5

50=8/5w * 5
MoveRightFacToNum

a/c* b = a* b/c

50=40w/5
CalcQuot

Calculate quotient

50=8w
DivEqn

.LHS /8.=.RHS /8.

50/8=w
RearrangeEqn

Rearrange equation

w=50/8
ReduceFrac

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

w=25/4

The solution to the equation is w= 254. We can check our solution by substituting it into the original equation and simplifying.

6=1/5w+7/5w-4
Substitute

w= 25/4

6? =1/5* 25/4+7/5 * 25/4 - 4
MultFrac

Multiply fractions

6? =25/20+175/20-4
AddEqn

LHS+4=RHS+4

10? =25/20+175/20
AddFrac

Add fractions

10? =200/20
CalcQuot

Calculate quotient

10= 10 ✓

Because the left-hand side and right-hand sides are equal, we know that our solution is correct.

Subchapter links expand_more
arrow_right 1 Solving Simple Equations p.44
1
Solving Simple Equations 2 (Page 44)
Solving Simple Equations 3 (Page 44)
arrow_right 2 Solving Multi-Step Equations p.44
Solving Multi-Step Equations 4 (Page 44)
Solving Multi-Step Equations 5 (Page 44)
Solving Multi-Step Equations 6 (Page 44)
Solving Multi-Step Equations 7 (Page 44)
Solving Multi-Step Equations 8 (Page 44)
Solving Multi-Step Equations 9 (Page 44)
Solving Multi-Step Equations 10 (Page 44)
Solving Multi-Step Equations 11 (Page 44)
arrow_right 3 Solving Equations with Variables on Both Sides p.45
Solving Equations with Variables on Both Sides 12 (Page 45)
Solving Equations with Variables on Both Sides 13 (Page 45)
Solving Equations with Variables on Both Sides 14 (Page 45)
arrow_right 4 Solving Absolute Value Equations p.45
Solving Absolute Value Equations 15 (Page 45)
Solving Absolute Value Equations 16 (Page 45)
Solving Absolute Value Equations 17 (Page 45)
Solving Absolute Value Equations 18 (Page 45)
arrow_right 5 Rewriting Equations and Formulas p.46
Rewriting Equations and Formulas 19 (Page 46)
Rewriting Equations and Formulas 20 (Page 46)
Rewriting Equations and Formulas 21 (Page 46)
Rewriting Equations and Formulas 22 (Page 46)
Rewriting Equations and Formulas 23 (Page 46)