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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 33 Page 144

Start by combining the variable terms.

v=- 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 terms are already on the left-hand side of the equation, so we will start by combining them.

3v-9v=30

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Add terms

Factor out v

(3-9)v=30

Subtract term

- 6v=30

.LHS /(- 6).=.RHS /(- 6).

- 6v/- 6 = 30/- 6

- a/- b=a/b

6v/6 = 30/- 6

MoveNegDenomToFrac

Put minus sign in front of fraction

6v/6 = -30/6

Calculate quotient

v=- 5

The solution to the equation is v=- 5. We can check our solution by substituting it into the original equation.

3v-9v=30

v= - 5

3( - 5)-9( - 5) ? = 30

▼

Simplify

a(- b)=- a * b

- 3* 5 - (- 9 * 5) ? = 30

Multiply

- 15 - (- 45) ? = 30

a-(- b)=a+b

- 15+45? = 30

Add terms

30=30

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

Subchapter links

Try It p.140-141

Self-Assessment for Concept & Skills p.141

Self-Assessment for Problem Solving p.142

Review & Refresh p.143

Concept, Skills, & Problem Solving p.143-144