7th Grade Math Review

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities where one of the quantities is 1. For example, $10 per student is a unit rate.

Front

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

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1). For points (2, 4) and (6, 12), the slope is m = (12 - 4) / (6 - 2) = 2.

Front

What is an expression in mathematics?

Back

An expression is a combination of numbers, variables, and operators (like +, -, *, /) without an equality sign. For example, 2x + 6x - 10 is an expression.

Front

What does the slope represent in a graph?

Back

The slope represents the steepness of a line on a graph. A positive slope means the line rises, while a negative slope means it falls.

Front

When do you use a closed dot when graphing inequalities?

Back

A closed dot is used when the inequality includes 'less than or equal to (≤)' or 'greater than or equal to (≥)'. This indicates that the endpoint is included in the solution.

Front

What is the formula for calculating the slope of a line?

Back

The formula for slope (m) is m = (y2 - y1) / (x2 - x1).

Front

What is the difference between an equation and an expression?

Back

An equation states that two expressions are equal (e.g., 2x + 3 = 7), while an expression is just a combination of numbers and variables without an equality sign.

Front

What does it mean if a slope is negative?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, meaning the line falls from left to right.

Front

How do you identify a unit rate from a list of options?

Back

A unit rate can be identified as the option where one quantity is compared to one unit of another quantity, such as $10 per student.

Front

What is the significance of the slope in real-world applications?

Back

The slope can represent rates of change, such as speed, cost per item, or growth rates in various contexts.