Semester 1 Final Review

Front

What is the solution to the equation -3 - 3x = -4(2x + 7)?

Back

x = -5

Front

Given the system of equations, find the solution to the system: x - 3y = 2 and -5x + 10y = -20.

Back

(8, 2)

Front

Given the system of equations, find the solution to the system: 3x + 12y = 24 and -x - 4y = -8.

Back

Infinite Solutions

Front

What is the domain of the function if x is restricted to x ≥ -3?

Back

x ≥ -3

Front

What is the domain of the function if x is restricted to -4 < x < 6?

Back

-4 < x < 6

Front

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

Back

The lines representing the equations are parallel and never intersect.

Front

What does it mean if a system of equations has infinite solutions?

Back

The lines representing the equations coincide, meaning they are the same line.

Front

How do you find the solution to a system of equations graphically?

Back

By plotting the equations on a graph and identifying the point(s) where they intersect.

Front

What is the first step in solving the equation -3 - 3x = -4(2x + 7)?

Back

Distribute -4 to (2x + 7) to simplify the equation.

Front

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

Back

The slope indicates the steepness of the line and the direction it moves (positive or negative).