Algebra 1 : First Semester Exam

Front

What is the definition of slope in a linear equation?

Back

The slope is a measure of the steepness of a line, calculated as the change in y divided by the change in x (rise over run).

Front

How do you determine the slope from two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What does it mean for two expressions to be equivalent?

Back

Two expressions are equivalent if they have the same value for all values of the variables involved.

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Back

Front

What is an ordered pair in the context of a linear equation?

Back

An ordered pair (x, y) represents a point on the Cartesian plane, where x is the horizontal coordinate and y is the vertical coordinate.

Front

How can you determine if an ordered pair is a solution to a linear equation?

Back

Substitute the x-value into the equation and check if the resulting y-value matches the y-value of the ordered pair.

Front

Back

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

What does it mean to simplify an expression?

Back

Simplifying an expression involves combining like terms and reducing it to its simplest form.