7th grade Math Review

Front

What is the Unit Rate (k)?

Back

The Unit Rate (k) is the ratio of two different quantities when they are compared to one unit of the second quantity. For example, if a car travels 60 miles in 2 hours, the unit rate is 30 miles per hour.

Front

What is the formula to find the circumference of a circle?

Back

The circumference (C) of a circle can be calculated using the formula C = πd, where d is the diameter of the circle.

Front

How do you find the diameter of a circle if you know the circumference?

Back

To find the diameter (d) from the circumference (C), use the formula d = C/π. For example, if C = 21.98 cm, then d = 21.98 cm / 3.14 = 7 cm.

Front

What is the formula for the area of a circle?

Back

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

Front

How do you calculate the area of a triangle?

Back

The area (A) of a triangle can be calculated using the formula A = 1/2 * base * height.

Front

What is the solution to the equation -6x - 6 = -12?

Back

To solve for x, first add 6 to both sides: -6x = -6. Then divide by -6: x = 1.

Front

What is the value of π (pi) used in calculations?

Back

π (pi) is approximately 3.14 and is used to calculate the circumference and area of circles.

Front

What is a unit rate in practical terms?

Back

A unit rate is a comparison of two different quantities when they are expressed as a quantity of one. For example, if a car travels 150 miles in 3 hours, the unit rate is 50 miles per hour.

Front

What is the relationship between diameter and radius?

Back

The diameter (d) of a circle is twice the length of the radius (r). The formula is d = 2r.

Front

How do you find the area of a circle with a radius of 5 m?

Back

Using the formula A = πr², the area is A = 3.14 * (5 m)² = 78.5 m².