Understanding Ratios and Linear Expressions

The video tutorial covers various mathematical concepts for seventh-grade students, including matching situations with diagrams, solving problems involving fractions, writing stories to represent equations, understanding equivalent ratios, and calculating the number of circular invitations using geometry. 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 1/4 more than x

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

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

• A diagram showing x and 1/2 less than x

If x represents a certain quantity, what does x plus 3/4 represent?

• x minus 1/2

• x plus 1/4

• x plus 3/4

• x minus 3/4

How far did Elena walk in total if she walked 12 miles and then a quarter of that distance?

• 9 miles

• 18 miles

• 15 miles

• 12 miles

What is the total distance represented by the equation y = x + 1/4x?

• x miles

• 1/4x miles

• x + 1/4x miles

• x - 1/4x miles

If you ran x miles on Saturday, how much more did you run on Sunday according to the equation y = x + 1/4x?

• 1/4 of Saturday's distance

• 1/2 of Saturday's distance

• 3/4 of Saturday's distance

• Same as Saturday's distance

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

• 2:2.5

• 3:3.75

• 7:8

• 14:27.5

Why is the ratio 2:3 not equivalent to 4:5?

• Because 2 times 5 is not equal to 3 times 4

• Because 4 divided by 2 is not equal to 5 divided by 2

• Because 4 times 3 is not equal to 5 times 2

• Because 4 divided by 3 is not equal to 5 divided by 2

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

• 6 invitations

• 3 invitations

• 4 invitations

• 5 invitations

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

• Approximately 24 cm

• Approximately 18.8 cm

• Approximately 37.7 cm

• Approximately 31.4 cm

If Jada has enough ribbon for 4.77 invitations, how many complete invitations can she make?

• 4 invitations

• 5 invitations

• 3 invitations

• 6 invitations