8th Grade Math Map Session 2

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). Formula: a² + b² = c².

Front

Define a rational number.

Back

A rational number is any number that can be expressed as the quotient or fraction p/q of two integers, where p is the numerator and q is the denominator (q ≠ 0). Examples: 1/2, -3, 0.75.

Front

What is the difference between mean, median, and mode?

Back

Mean is the average of a set of numbers. Median is the middle value when numbers are arranged in order. Mode is the number that appears most frequently in a data set.

Front

How do you calculate the area of a triangle?

Back

The area of a triangle can be calculated using the formula: Area = 1/2 × base × height.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a number by a sum by distributing the multiplication across the addends.

Front

What is a variable in algebra?

Back

A variable is a symbol (often a letter) that represents one or more numbers. For example, in the expression x + 5, x is a variable.

Front

Define an integer.

Back

An integer is a whole number that can be positive, negative, or zero. Examples: -3, 0, 4.

Front

What is the formula for the circumference of a circle?

Back

The circumference of a circle can be calculated using the formula: C = 2πr, where r is the radius of the circle.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. For example, if a/b = c/d, then a, b, c, and d are in proportion.

Front

How do you solve a linear equation?

Back

To solve a linear equation, isolate the variable on one side of the equation using inverse operations. For example, to solve 2x + 3 = 7, subtract 3 from both sides and then divide by 2.