Expressions, Angles, and Volume Problems

This video tutorial covers various mathematical concepts for 7th grade students. It begins with an introduction to right prisms, explaining their properties and how to identify them. The tutorial then moves on to calculating the volume and base area of trapezoid prisms. It also covers complementary and supplementary angles, providing methods to calculate missing angles. The video includes a section on matching equivalent algebraic expressions and concludes with creating an equation to represent the relationship between two notebook prices.

Which of the following shapes does not have two parallel bases?

• Pyramid

• Triangular Prism

• Rectangular Prism

• Cylinder

If the volume of a trapezoid prism is 24 cubic units and its height is 6 units, what is the area of its base?

• 3 square units

• 4 square units

• 8 square units

• 6 square units

Given a trapezoid prism with a volume of 24 cubic units and a height of 8 units, what is the area of its base?

• 3 square units

• 4 square units

• 6 square units

• 2 square units

Two angles are complementary. If one angle measures 19°, what is the measure of the other angle?

• 61°

• 81°

• 71°

• 91°

Two angles are supplementary. If one angle is twice as large as the other, what are the measures of the two angles?

• 60° and 120°

• 75° and 105°

• 45° and 135°

• 30° and 150°

Match the expression 7x - x + 14 + 3 with its equivalent expression from the second list.

• 6x + 17

• 8x + 17

• 6x + 14

• 7x + 17

Match the expression 6x + 4x + 3 + 5 with its equivalent expression from the second list.

• 10x + 10

• 10x + 7

• 10x + 8

• 10x + 9

Match the expression 3/5x - 2/5x - 7 - 3 with its equivalent expression from the second list.

• 1/5x - 7

• 1/5x - 3

• 1/5x - 10

• 1/5x - 1

Match the expression 8x - 5 + 4 - 9 with its equivalent expression from the second list.

• 8x - 7

• 8x - 8

• 8x - 9

• 8x - 10

If Claire paid 50% more for her notebook than Priya, who paid x dollars, what is the equation representing the relationship between Claire's payment (y) and Priya's payment (x)?

• y = 2x

• y = 1.5x

• y = 1.25x

• y = 0.5x