Fall 24 Algebraic Reasoning Final Exam Review Part 1/2

Front

What does it mean if a system of linear equations has one solution?

Back

The two lines are intersecting lines.

Front

Write the equation of the line that passes through the point (4, -2) and has a slope of -1/2.

Back

y = -1/2x + 4.

Front

Convert the standard form equation x - 5y = 10 into slope-intercept form.

Back

y = 1/5x - 2.

Front

What is the solution to the system of inequalities represented graphically?

Back

(Graphical representation needed for solution.)

Front

Solve the system: y = 2/3x - 2 and y = -x + 3.

Back

(3, 0)

Front

What is the slope of a line that is parallel to the line represented by the equation y = 2x + 5?

Back

The slope is 2.

Front

What is the y-intercept of the line represented by the equation y = -3x + 6?

Back

The y-intercept is 6.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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

Front

What does it mean if two lines are parallel?

Back

They have the same slope and will never intersect.

Front

What is the standard form of a linear equation?

Back

Ax + By = C, where A, B, and C are integers.