One Variable Inequalities Notes and Worksheets - Lindsay Bowden - Free Printable

1. Let $x$ be the number of boxes. The inequality is $300 + 25x \leq 1000$. Solving for $x$: $25x \leq 700$, so $x \leq 28$. The maximum number of boxes is 28.

2. Let $x$ be the number of nights. The inequality is $100x + 35 \leq 500$. Solving for $x$: $100x \leq 465$, so $x \leq 4.65$. Since George can only stay whole nights, the maximum is 4 nights.

3. Let $x$ be the total number of juniors. The inequality is $\frac{1}{3}x \leq 37$. Solving for $x$: $x \leq 111$. The minimum number of juniors is 111.

4. Let $x$ be the calories per smoothie. The inequality is $875 + 3x < 2000$. Solving for $x$: $3x < 1125$, so $x < 375$. Each smoothie must have fewer than 375 calories.

5. Let $x$ be the number. The inequality is $3x - 2 > 10$. Solving for $x$: $3x > 12$, so $x > 4$.

6. Let $x$ be the brother’s age. Ben’s age is $2x$. The inequality is $x + 2x < 81$, so $3x < 81$, and $x < 27$. Ben’s brother could be any age less than 27.