Mathematical Problem Solving Techniques

The video covers a variety of math problems for seventh-grade students, including calculating the volume of a rectangular prism, determining profit from sales, finding constants of proportionality, and solving equations related to real-world scenarios. It also includes problems on triangle angles, weight equations, sheep counting, probability, cost calculations with tax and tip, and finding the circumference of a circle.

What is the formula for the volume of a rectangular prism?

• Volume = length × width × height

• Volume = length + width + height

• Volume = length + width

• Volume = length × width

If a rectangular prism has a volume of 18 cubic feet, a length of 6 feet, and a width of 2 feet, what is its height?

• 3 feet

• 1.5 feet

• 2 feet

• 1 foot

An artist rents a booth for $250 and earns $6 per pair of earrings sold. How many pairs must be sold to earn a profit of $500?

• 150 pairs

• 125 pairs

• 200 pairs

• 100 pairs

What is the equation used to calculate the profit from selling earrings?

• Profit = 250 + 6n

• Profit = 250 - 6n

• Profit = 6n - 250

• Profit = 6n + 250

If 3 pounds of grapes cost $6.57, what is the cost per pound?

• $2.57

• $2.19

• $3.00

• $1.50

What is the constant of proportionality in the context of the cost of grapes?

• The total weight of grapes

• The number of pounds of grapes

• The cost per pound of grapes

• The total cost of grapes

Which scenario is best represented by the equation 3x = 288?

• Three trays left to stack out of 288

• Three trays with 288 trays in each stack

• Three trays with 288 more trays to stack

• Three stacks of trays with 288 trays in total

In an isosceles triangle, if two angles are equal and the third angle is 48 degrees, what is the value of each of the equal angles?

• 66 degrees

• 90 degrees

• 48 degrees

• 72 degrees

What equation can be used to find the weight of Carmen's rabbit if Angelo's rabbit weighs 9 pounds, which is one pound less than twice the weight of Carmen's rabbit?

• 2w + 1 = 9

• 2w = 9

• w - 1 = 9

• 2w - 1 = 9

If 34% of a flock of 250 sheep are white, how many sheep are white?

• 75 sheep

• 85 sheep

• 100 sheep

• 95 sheep