Flashcard - Friday, November 15th

Front

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

Back

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

Front

What symbols indicate a closed dot when graphing an inequality?

Back

The symbols ≤ and ≥ indicate a closed dot.

Front

What type of line is used when graphing inequalities with < or >?

Back

A dashed line is used for < or >.

Front

What is the vertex of the function f(x) = |x + 4| + 3?

Back

The vertex is at the point (-4, 3).

Front

How do you solve the inequality -7 + 10z > -27?

Back

Add 7 to both sides to get 10z > -20, then divide by 10 to find z > -2.

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output for each input.

Front

What is the difference between a solid line and a dashed line in graphing inequalities?

Back

A solid line indicates that the points on the line are included (≤ or ≥), while a dashed line indicates that the points are not included (< or >).

Front

What does the graph of f(x) = |x - 3| + 4 look like?

Back

It is a V-shaped graph with the vertex at (3, 4).

Front

How do you determine if a system of equations has infinitely many solutions?

Back

If the equations represent the same line, they have infinitely many solutions.

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.