Unit 1 Review 7th grade

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other quantity is constant.

Front

What does the equation d=4.5t represent?

Back

The equation d=4.5t represents a proportional relationship where distance (d) is directly proportional to time (t) with a constant rate of 4.5 miles per hour.

Front

How do you calculate the number of student tickets bought if the total spent is $600.25 and one ticket costs $4.75?

Back

First, subtract the cost of Mr. Shew's ticket ($6.50) from the total ($600.25), which gives $593.75. Then, divide $593.75 by $4.75 to find the number of student tickets: 593.75 / 4.75 = 125.

Front

What is the formula for the circumference of a circle?

Back

The formula for the circumference (C) of a circle is C = πd, where d is the diameter.

Front

If a bicycle tire has a diameter of 14 inches, what is the circumference?

Back

Using the formula C = πd, the circumference is C = 3.14 * 14 = 43.96 inches.

Front

How do you find the distance traveled by a bicycle tire after a certain number of rotations?

Back

Multiply the circumference of the tire by the number of rotations. For 24 rotations, distance = circumference * 24.

Front

What is the area of a circle if the circumference is known?

Back

To find the area (A) of a circle from its circumference (C), use the formula A = C² / (4π).

Front

What is the scale factor if the side length of a phone is 6 inches and the wall is 108 inches?

Back

The scale factor is 18:1, meaning for every 1 inch on the phone, the wall measures 18 inches.

Front

How do you calculate the area of a circle using its circumference?

Back

First, find the radius from the circumference using C = 2πr, then use A = πr² to find the area.

Front

What is the formula for the area of a circle?

Back

The formula for the area (A) of a circle is A = πr², where r is the radius.