CA - Unit 3 Review

Front

Determine the slope and the y-intercept of the graph of the equation: 12x - 2y - 24 = 0

Back

Slope (m) = 6; Y-intercept = (0, -12)

Front

Solve the system of equations: x + 3y = -2 and -4x + 2y = -34

Back

Solution: {(7, -3)}

Front

Solve the system: 5x + 18y = 18 and 5x - 3y = -3

Back

Solution: {(0, 1)}

Front

Back

Front

Solve the system: 5x + 4y = -7 and -5x - 9y = 22

Back

Solution: {(1, -3)}

Front

What is the definition of slope in a linear equation?

Back

Slope is the ratio of the change in y to the change in x, representing the steepness of a line.

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

How do you solve a system of equations using substitution?

Back

1. Solve one equation for one variable. 2. Substitute that expression into the other equation. 3. Solve for the remaining variable.

Front

What is the graphical representation of an inequality?

Back

An inequality is represented by a shaded region on one side of a boundary line, indicating all the solutions that satisfy the inequality.

Front

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

Back

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