Understanding Ratios and Distances

The video tutorial covers various mathematical concepts for seventh-grade students, including matching situations with diagrams, solving problems involving distance and fractions, writing stories to represent equations, identifying equivalent ratios, and calculating the number of circular invitations that can be made. The tutorial encourages viewers to support and share the resources.

Which diagram correctly represents the expression x minus 1/4?

• A diagram showing x and 1/2 of x

• A diagram showing x and 3/4 more than x

• A diagram showing x and 1/4 less than x

• A diagram showing x and 1/4 of x

If Elena walked 12 miles and then 1/4 of that distance again, how far did she walk in total?

• 9 miles

• 18 miles

• 15 miles

• 12 miles

Which expression represents the total distance Elena walked?

• 12 + 1/4 of 12

• 12 + 3

• 12 + 5

• 12 + 1/4

How many miles is 1/4 of 12 miles?

• 3 miles

• 2 miles

• 5 miles

• 4 miles

What does the equation y = x + 1/4x represent in a story context?

• The distance ran on Sunday is 1/4 more than Saturday

• The distance ran on Saturday is 1/4 more than Sunday

• The total distance ran on Saturday and Sunday

• The total distance ran on Sunday

If y = x + 1/4x, what does 1/4x represent?

• 1/4 of the distance on Sunday

• 1/4 less than the distance on Sunday

• 1/4 more than the distance on Saturday

• 1/4 of the total distance

Which of the following is an equivalent ratio to 4:5?

• 3:3.75

• 2:3

• 14:27.5

• 7:8

What is the equivalent of 4 divided by 2 and 5 divided by 2?

• 4:5

• 3:3.75

• 2:3

• 2:2.5

How many circular invitations can Jada make with 180 cm of ribbon if each has a diameter of 12 cm?

• 3 invitations

• 4 invitations

• 5 invitations

• 6 invitations

What is the perimeter of a circle with a diameter of 12 cm?

• 38 cm

• 37.7 cm

• 40 cm

• 36 cm