Problem preview

MF.EQ.11 Standard MF-038-A06-V04

Solve multi-step inequalities, including reversing the inequality when appropriate.

Model and solve a grouped context inequality

Problem

$\text{Six}~\text{packs}$ each contain $x$ chip bags and $1$ drink. Every item costs $\$0.50$, and the total cost is at most $\$19.50$. Let $x$ be a nonnegative whole number. Which complete response correctly handles the situation?

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6(x + 1) ≤ 19.50; x ∈ 0, 1, 2

6(0.50x + 1) ≤ 19.50; x ∈ 0, 1, 2, 3, 4

6(0.50(x + 1)) ≤ 19.50; x ∈ 0, 1, 2, 3, 4, 5

6(0.50(x + 1)) = 19.50; x = 5.5

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Curriculum context

Course: Math Foundations
Standard: MF.EQ.11
Category: Pre-Algebra
Domain: Inequalities
Objective: Solve multi-step inequalities, including reversing the inequality when appropriate.
Problem type: Model and solve a grouped context inequality