Grade 8 Math Spiral Review

Front

What is the Pythagorean theorem?

Back

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: c² = a² + b².

Front

How do you solve for x in the equation 10x + 9 = 4x - 9?

Back

To solve for x, first isolate x on one side: 10x - 4x = -9 - 9, which simplifies to 6x = -18. Then, divide both sides by 6 to get x = -3.

Front

What does it mean to order numbers from least to greatest?

Back

It means to arrange numbers in ascending order, starting with the smallest number and ending with the largest.

Front

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

Back

Area = length × width.

Front

What is an exponent?

Back

An exponent is a number that shows how many times a base is multiplied by itself. For example, in 2^3, 2 is the base and 3 is the exponent, meaning 2 × 2 × 2.

Front

How do you simplify the expression (2^4)^7?

Back

Use the power of a power property: (a^m)^n = a^(m*n). So, (2^4)^7 = 2^(4*7) = 2^28.

Front

What is the least common multiple (LCM) of two numbers?

Back

The least common multiple is the smallest multiple that is exactly divisible by both numbers.

Front

How do you find the missing side of a right triangle?

Back

Use the Pythagorean theorem: c² = a² + b², where c is the hypotenuse and a and b are the other two sides.

Front

What is a rational number?

Back

A rational number is any number that can be expressed as a fraction a/b, where a and b are integers and b is not zero.

Front

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

Back

Mean is the average of a set of numbers, median is the middle number when arranged in order, and mode is the number that appears most frequently.