Alg Prob Solve - Exam 2 Review - Units 4 & 5

Front

What is the result of multiplying a 3 x 2 matrix by a 2 x 4 matrix in terms of size?

Back

The result will be a 3 x 4 matrix.

Front

How do you calculate the difference between two matrices A and B?

Back

Subtract corresponding elements of matrix A from matrix B.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

How do you solve a linear equation for a variable?

Back

Isolate the variable on one side of the equation using algebraic operations.

Front

What is the general form of a linear equation in two variables?

Back

The general form is Ax + By = C, where A, B, and C are constants.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols like <, >, ≤, or ≥.

Front

How do you graph a linear inequality?

Back

Graph the corresponding linear equation as a boundary line, then shade the appropriate region based on the inequality.

Front

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

Back

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

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, indicating the value of y when x = 0.