HonAlg Sem1 Day2 Review

Front

What is the solution to the system of equations -4x - 2y = -12 and 4x + 8y = -24?

Back

(6, -6)

Front

What is the slope of the line passing through the points (8, 5) and (-9, 5)?

Back

Zero

Front

Christian ordered 4 boxes of black-and-white brochures and 3 boxes of color brochures for $134. After that, he spent $120 on 3 boxes of black-and-white and 3 boxes of color brochures. What system of equations represents this situation?

Back

4x + 3y = 134 and 3x + 3y = 120

Front

What is the solution to the system of equations -4x - 6y = 6 and 4x + 6y = -4?

Back

No solution

Front

Find the equation of the line that passes through the points (-4, -2) and (-3, 5).

Back

y = 7x + 26

Front

What is the definition of a slope in a linear equation?

Back

The slope is the ratio of the rise (change in y) to the run (change in x) between two points on a line.

Front

What does it mean if a system of equations has no solution?

Back

It means that the lines represented by the equations are parallel and never intersect.

Front

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

Back

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

Front

What is the standard form of a linear equation?

Back

Ax + By = C, where A, B, and C are integers and A ≥ 0.

Front

What is the meaning of 'undefined slope'?

Back

An undefined slope occurs when a line is vertical, meaning the change in x is zero.