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Big Ideas Math: Modeling Real Life, Grade 7
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Big Ideas Math: Modeling Real Life, Grade 7 View details
3. Solving Two-Step Equations
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Exercise 14 Page 143

Start by adding 2 to both sides.

k = 19/5

Practice makes perfect

To solve an equation, we should first gather all of the variable terms on one side and all of the constant terms on the other side using the Properties of Equality. In this case, the only variable term is already on the right-hand side of the equation, so we will start by adding 2 to both sides.

17 = 5k-2
AddEqn

LHS+2=RHS+2

17+2 = 5k-2+2
AddTerms

Add terms

19=5k
DivEqn

.LHS /5.=.RHS /5.

19/5 = 5k/5
CalcQuot

Calculate quotient

19/5=k
RearrangeEqn

Rearrange equation

k = 19/5
FracToMixed

Write fraction as a mixed number

k=3 45

The solution to the equation is k = 195, which can be also written as k=3 45. We can check our solution by substituting it into the original equation.

17 = 5k-2
Substitute

k= 19/5

17 ? = 5( 19/5)-2
NumberToDenomMultFrac

a = 5 * a/5

17 ? = 19-2
SubTerm

Subtract term

17=17

Since the left-hand side is equal to the right-hand side, our solution is correct.

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arrow_right Try It p.140-141
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Try It 2 (Page 140)
Try It 3 (Page 140)
Try It 4 (Page 140)
Try It 5 (Page 140)
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arrow_right Self-Assessment for Concept & Skills p.141
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Self-Assessment for Concept & Skills 11 (Page 141)
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arrow_right Self-Assessment for Problem Solving p.142
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arrow_right Review & Refresh p.143
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