Lesson 18: More Relationships | Unit 6: Expressions and Equations

Multiple Choice

Elena is designing a logo in the shape of a parallelogram. She wants the logo to have an area of 12 square inches. Which equation can Elena use to find the height in inches, $$h$$ , for each value of the base in inches, $$b$$ ?

• h = 12 / b
• h = 12 + b
• h = 12 * b
• h = 12 - b

Multiple Choice

Elena is designing a logo in the shape of a parallelogram. She wants the logo to have an area of 12 square inches. What is the height of a parallelogram with a base of $$1.5$$ inches?

• 8 inches
• 10 inches
• 4 inches
• 6 inches

Multiple Choice

Han is planning to ride his bike 24 miles. How long will it take if he rides at a constant rate of 3 miles per hour?

• 6 hours
• 10 hours
• 12 hours
• 8 hours

Multiple Choice

Han is planning to ride his bike 24 miles. How long will it take if he rides at a constant rate of 4 miles per hour?

• 6 hours
• 10 hours
• 4 hours
• 8 hours

Multiple Choice

Han is planning to ride his bike 24 miles. How long will it take if he rides at a constant rate of 6 miles per hour?

• 2 hours
• 3 hours
• 5 hours
• 4 hours

Multiple Choice

Han is planning to ride his bike 24 miles. Which equation can Han use to find $$t$$ , the time in hours it will take to ride 24 miles, if his constant rate in miles per hour is represented by $$r$$ ?

• t = 24 - r
• t = 24 / r
• t = r / 24
• t = 24 + r

Draw

Han is planning to ride his bike 24 miles. On graph paper, draw a graph that shows $$t$$ in terms of $$r$$ for a 24-mile ride.

Multiple Choice

Which of the following stories is represented by the graph of the equation $$V=10s^3$$ that contains the points $$(2,80)$$ and $$(4,640)$$ ?

• The story of a cubic relationship between volume and side length.
• The story of a constant volume regardless of side length.
• The story of a linear relationship between volume and side length.
• The story of a quadratic relationship between volume and side length.

Multiple Choice

The graph of the equation $$V=10s^3$$ contains the points $$(2,80)$$ and $$(4,640)$$ . What do the points mean in the context of your story?

• The points indicate that when the size 's' is 2, the volume 'V' is 80, and when 's' is 4, the volume 'V' is 640.
• The points suggest that the volume 'V' decreases as the size 's' increases.
• The points indicate that the volume 'V' is constant regardless of the size 's'.
• The points show that when the size 's' is 2, the volume 'V' is 640, and when 's' is 4, the volume 'V' is 80.