End of the Year Math 6th Grade

Front

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

Back

Area = length × width.

Front

How do you calculate the distance between two points (x1, y1) and (x2, y2)?

Back

Distance = √((x2 - x1)² + (y2 - y1)²).

Front

What does the equation y = mx + b represent?

Back

It represents the slope-intercept form of a linear equation, where m is the slope and b is the y-intercept.

Front

If Julia ran 30 miles more than Larry and Julia ran 47 miles, how can we express Larry's distance?

Back

Let n be the miles Larry ran. The equation is n + 30 = 47.

Front

What does the expression 'three times as many drinks on the tray' translate to mathematically?

Back

It translates to 3d, where d is the number of drinks.

Front

What is the definition of a variable in mathematics?

Back

A variable is a symbol used to represent an unknown value.

Front

What is the purpose of using parentheses in mathematical expressions?

Back

Parentheses indicate which operations should be performed first.

Front

What is the formula for the area of a triangle?

Back

Area = 1/2 × base × height.

Front

How do you find the slope of a line given two points?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the difference between a rational and an irrational number?

Back

A rational number can be expressed as a fraction, while an irrational number cannot.