Mathematical Problem Solving Techniques

The video tutorial covers four main topics: calculating the volume of a triangular prism, solving a linear equation both algebraically and using a model, budgeting for school supplies by calculating expenses and change, and estimating the area of a composite shape using basic geometry. Each section provides step-by-step instructions and examples to help students understand and apply mathematical concepts effectively.

What is the formula used to calculate the volume of a triangular prism?

• 1/2 base times height

• Length times width times height

• Base area times height

• Base times height divided by 3

If the base of a triangle is 6 cm and the height is 4 cm, what is the area of the triangle?

• 8 cm²

• 10 cm²

• 24 cm²

• 12 cm²

What is the first step in solving the equation 5x + 6 = 1?

• Multiply both sides by 5

• Divide both sides by 5

• Subtract 6 from both sides

• Add 6 to both sides

What is the value of x in the equation 5x + 6 = 1?

• -1

• 1

• 0

• -5

How much did Ms. Blankenship spend on glue sticks if each costs $1.40 and she bought 32?

• $44.80

• $32.00

• $45.00

• $40.00

What is the total cost of 32 boxes of crayons if each costs $0.59?

• $18.88

• $20.00

• $19.00

• $18.82

How much money did Ms. Blankenship have left after her purchase?

• $20.00

• $16.36

• $18.00

• $15.00

What is the formula for the area of a semicircle?

• πr²

• 1/2 πr²

• πd

• 2πr

If a rectangle has a base of 6 cm and a height of 4 cm, what is its area?

• 20 cm²

• 24 cm²

• 12 cm²

• 16 cm²

What is the best estimate of the area of a composite figure made of a semicircle, rectangle, and triangle?

• 38 cm²

• 40 cm²

• 36 cm²

• 34 cm²