Writing Inequalities from Word Problems

Which inequality symbol represents 'less than'?

• >=

• <

• <=

• >

What does the line under the inequality symbol indicate in '≤'?

• Greater than

• Not equal to

• Less than

• Equal to

If container A has 800 ml of water and leaks 6 ml per minute, and container B has 1000 ml and leaks 10 ml per minute, which inequality represents the time it takes for container A to have more water than container B?

• 800 + 6x < 1000 + 10x

• 800 - 6x < 1000 - 10x

• 800 + 6x > 1000 + 10x

• 800 - 6x > 1000 - 10x

What does the term 'leaking' imply in the context of the water containers?

• Multiplication

• Addition

• Subtraction

• Division

Verizon's plan costs $44.99 with $0.40 per text, and Singular's plan costs $39.99 with $0.45 per text. Which inequality shows the number of texts (t) for Verizon to be cheaper than Singular?

• 44.99 + 0.40t ≥ 39.99 + 0.45t

• 44.99 + 0.40t = 39.99 + 0.45t

• 44.99 + 0.40t < 39.99 + 0.45t

• 44.99 + 0.40t > 39.99 + 0.45t

What does 'per' indicate in the context of the cell phone plans?

• Variable

• Constant

• Intercept

• Slope

UPS charges $7 for the first pound and $0.20 for each additional pound, while FedEx charges $5 for the first pound and $0.30 for each additional pound. Which inequality represents the weight (p) for UPS to be cheaper than FedEx?

• 7 + 0.20p ≥ 5 + 0.30p

• 7 + 0.20p = 5 + 0.30p

• 7 + 0.20p < 5 + 0.30p

• 7 + 0.20p > 5 + 0.30p

What does 'each additional pound' imply in the context of shipping costs?

• Slope

• Intercept

• Variable

• Constant

A 12-inch candle burns 0.5 inches per hour, and an 18-inch candle burns 2 inches per hour. Which inequality represents the time (h) for the 12-inch candle to be taller than the 18-inch candle?

• 12 - 0.5h ≥ 18 - 2h

• 12 - 0.5h = 18 - 2h

• 12 - 0.5h < 18 - 2h

• 12 - 0.5h > 18 - 2h

What does 'burns' imply in the context of the candles?

• Multiplication

• Subtraction

• Addition

• Division