Retro Flashcardizz # 12 - Algebra

Front

What is a system of equations?

Back

A set of two or more equations with the same variables. Solutions are the points where the equations intersect.

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 infinitely many solutions?

Back

The equations represent the same line, so every point on the line is a solution.

Front

How do you find the slope of a line from its equation?

Back

In the equation y = mx + b, m represents the slope.

Front

What is the slope of the line represented by the equation y = 2x + 3?

Back

The slope is 2.

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept is the value of y when x = 0, represented by b.

Front

How do you solve the equation 10z - 4 = 2(5z - 2)?

Back

Distribute and simplify to find that it is an identity, meaning it is true for all values of z.

Front

What does it mean for an equation to be an identity?

Back

An identity is an equation that is true for all values of the variable.

Front

What is the graphical representation of the equation y = -\frac{2}{3}x + 4?

Back

A straight line with a slope of -\frac{2}{3} and a y-intercept of 4.

Front

What is the significance of parallel lines in a system of equations?

Back

Parallel lines indicate that the system has no solution.