Algebraic reasoning and Coordinate planes

Front

What is a coordinate plane?

Back

A coordinate plane is a two-dimensional surface formed by the intersection of a horizontal line (x-axis) and a vertical line (y-axis). Each point on the plane is defined by an ordered pair (x, y).

Front

What does the x-coordinate represent?

Back

The x-coordinate represents the horizontal position of a point on the coordinate plane.

Front

What does the y-coordinate represent?

Back

The y-coordinate represents the vertical position of a point on the coordinate plane.

Front

What is an additive relationship?

Back

An additive relationship is when two quantities are combined by addition, resulting in a total that is the sum of the individual quantities.

Front

What is a multiplicative relationship?

Back

A multiplicative relationship is when one quantity is multiplied by another, resulting in a product.

Front

What is the equation of a line with a slope of 1 and a y-intercept of 5?

Back

The equation is y = x + 5.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value of the variable that makes the equation true.

Front

What is the result of (7 x 6) ÷ 6?

Back

The result is 7.

Front

What is a function in mathematics?

Back

A function is a relationship between two sets where each input (x) has exactly one output (y).

Front

What is the purpose of a table in algebra?

Back

A table in algebra is used to organize values of variables and to identify patterns or relationships.