Mastering Math: Diamond Problems and Graphs

Solve the diamond problem: The numbers on the left and right are $$7$$ and $$3$$ . The number on the top is their sum, and the number on the bottom is their product. What are the top and bottom numbers?

What is the value of $$-8 + 13$$ ?

Which graph best represents a scenario where a car starts at rest, accelerates steadily, and then moves at a constant speed?

If the product of two integers is $$-24$$ and one of them is $$6$$ , what is the other integer?

A word problem states: "Sarah has $$x$$ apples. She buys $$5$$ more and then gives away $$3$$ ." Which expression models the number of apples Sarah has now?

Solve the diamond problem: Left: $$-2$$ , Right: $$5$$ . What is the top (sum) and bottom (product)?

Which integer operation is correct?

A graph shows the temperature dropping steadily over time. Which of the following best describes the graph?

If $$x = -3$$ and $$y = 7$$ , what is $$x \times y$$ ?

Which equation models the following scenario: "A number is doubled and then $$6$$ is subtracted. The result is $$10$$ ."