8th Grade Math Review

Front

What is the definition of slope in mathematics?

Back

Slope is defined as the ratio of the rise (vertical change) to the run (horizontal change) between two points on a line.

Front

How do you express the multiplication of the same number multiple times as an exponent?

Back

To express multiplication of the same number multiple times as an exponent, count the number of times the number is multiplied. For example, 7x7x7x7x7 is written as 7^5.

Front

In the equation y=mx+b, what does 'b' represent?

Back

'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Front

What is the name of the vertical axis in a coordinate plane?

Back

The vertical axis is called the Y-axis.

Front

How do you solve the equation 8x + 2 - 5x = 32 for x?

Back

Combine like terms to get 3x + 2 = 32, then subtract 2 from both sides to get 3x = 30. Finally, divide by 3 to find x = 10.

Front

What is the formula for calculating the area of a rectangle?

Back

Area = length × width.

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): a² + b² = c².

Front

What is the definition of a variable in algebra?

Back

A variable is a symbol, often a letter, that represents one or more numbers.

Front

What is the difference between the mean and median in a data set?

Back

The mean is the average of a set of numbers, calculated by adding them together and dividing by the count. The median is the middle value when the numbers are arranged in order.

Front

What is the formula for the circumference of a circle?

Back

Circumference = 2πr, where r is the radius of the circle.