Alg 2 Practice Flashcard 1.5-1.7

Front

What is the absolute value of a number?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction. It is always non-negative.

Front

Solve the equation: |-6x| = 30

Back

x = 5, -5

Front

What does it mean for a system of equations to have no solutions?

Back

A system of equations has no solutions when the lines represented by the equations are parallel and never intersect.

Front

Solve the system of equations using subtraction: 2x + y = 10 and 2x - 3y = 6

Back

x = 4.5, y = 1

Front

What is the solution to the system of equations: 2x + 3y = 9 and x - y = 2?

Back

(1, 3)

Front

What is a graphical solution to a system of equations?

Back

A graphical solution involves plotting the equations on a graph and identifying the point(s) where the lines intersect.

Front

Solve the system graphically: -5 < -(x-2)^2 + 4

Back

(-1, 5)

Front

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

Back

The slope-intercept form is given by 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.

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts.