Qtr 2 checkpoint review #2

Front

What is a system of inequalities?

Back

A system of inequalities is a set of two or more inequalities that share the same variables. The solution is the set of all points that satisfy all inequalities in the system.

Front

How do you represent a budget constraint in inequalities?

Back

A budget constraint can be represented as an inequality where the total cost must be less than or equal to the budget. For example, if x is the quantity of one item and y is the quantity of another, the inequality could be represented as: 3x + 2y ≤ budget.

Front

What does the vertex of a function represent?

Back

The vertex of a function, particularly in quadratic or absolute value functions, represents the highest or lowest point of the graph, depending on the direction it opens.

Front

How do you find the y-coordinate of the solution to a system of equations?

Back

To find the y-coordinate of the solution, you can solve the system of equations using substitution or elimination methods, or graphically find the intersection point.

Front

What is exponential decay?

Back

Exponential decay describes a process where a quantity decreases at a rate proportional to its current value, often modeled by the equation y = a(1 - r)^t, where a is the initial amount, r is the decay rate, and t is time.

Front

What is the parent function of absolute value?

Back

The parent function of absolute value is y = |x|, which creates a V-shaped graph that opens upwards with its vertex at the origin (0,0).

Front

What transformation occurs when you add a constant to the absolute value function?

Back

Adding a constant to the absolute value function shifts the graph vertically. For example, y = |x| + k shifts the graph up by k units if k is positive and down by k units if k is negative.

Front

What does the notation y = 5000(0.7)^x represent?

Back

This notation represents an exponential decay function where the initial amount is 5000 and it decreases by 30% each year, as 0.7 is the remaining percentage after decay.

Front

How do you interpret the solution of a system of inequalities graphically?

Back

The solution of a system of inequalities can be interpreted graphically as the region where the shaded areas of all inequalities overlap on a coordinate plane.

Front

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

Back

The coefficients in a linear equation represent the slope and the y-intercept, indicating how steep the line is and where it crosses the y-axis.