Algebra Review (for Geometry)

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. For example, 2x + 3 is an algebraic expression.

Front

How do you convert a verbal expression into an algebraic expression?

Back

Front

What is the formula for finding the slope of a line given two points?

Back

The slope (m) of a line through two points (x1, y1) and (x2, y2) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

Calculate the slope of the line that includes the points (6, -1) and (-4, 3).

Back

Using the slope formula: m = (3 - (-1)) / (-4 - 6) = 4 / -10 = -2/5.

Front

What are the coordinates of point A if it is located at (0, -5)?

Back

The coordinates of point A are (0, -5).

Front

How do you convert feet to yards?

Back

To convert feet to yards, divide the number of feet by 3, since 1 yard equals 3 feet.

Front

Convert 21 feet to yards.

Back

21 feet = 21 / 3 = 7 yards.

Front

What is the coordinate plane?

Back

The 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

Identify the quadrant where the point (-3, -1) is located.

Back

The point (-3, -1) is located in the third quadrant of the coordinate plane, where both x and y coordinates are negative.

Front

What is the difference between a point and a coordinate?

Back

A point is a specific location in space, while coordinates are the numerical values that define that location on a coordinate plane.