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Big Ideas Math: Modeling Real Life, Grade 7

BI

Big Ideas Math: Modeling Real Life, Grade 7 View details

4. Using Random Samples to Compare Populations

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Exercise 4 Page 347

Gather all of the variable terms on one side of the equation and all of the constant terms on the other side.

d=-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, we can can start by using the Subtraction Property of Equality.

1.5d+3=- 4.5

LHS-3=RHS-3

1.5d+3-3=- 4.5-3

Subtract terms

1.5d=-7.5

.LHS /1.5.=.RHS /1.5.

1.5d/1.5=-7.5/1.5

MoveNegNumToFrac

Put minus sign in front of fraction

1.5d/1.5=-7.5/1.5

Calculate quotient

d=-5

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

1.5d+3=- 4.5

d= -5

1.5( -5)+3? =-4.5

a(- b)=- a * b

-7.5+3? =-4.5

Add terms

-4.5=-4.5

Our solution is correct because the left-hand side is equal to the right-hand side.

Subchapter links

Try It p.344-345

Self-Assessment for Concept & Skills p.345

Self-Assessment for Problem Solving p.346

Review & Refresh p.347

Concept, Skills, & Problem Solving p.347-348