HAM Semester 1 review

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, or not equal to the other.

Front

What does the graph of an inequality represent?

Back

The graph of an inequality represents all the solutions that satisfy the inequality, often shaded to indicate the region of valid solutions.

Front

How do you determine the slope of a line from an inequality?

Back

The slope of a line in an inequality is the coefficient of x in the equation of the line, indicating the steepness and direction of the line.

Front

What is the formula to find the perimeter of a polygon?

Back

The perimeter of a polygon is found by adding the lengths of all its sides.

Front

How do you solve a system of equations?

Back

A system of equations can be solved using methods such as substitution, elimination, or graphing to find the values of the variables that satisfy all equations.

Front

What is the meaning of 'combining like terms' in algebra?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power to simplify an expression.

Front

What is a membership fee in a subscription service?

Back

A membership fee is a one-time or recurring charge that allows access to services or products, often seen in subscription models.

Front

How do you find the break-even point in a cost comparison problem?

Back

The break-even point is found by setting the total costs of both options equal to each other and solving for the variable, often representing quantity.

Front

What does the solution (-4,-1) represent in a system of equations?

Back

The solution (-4,-1) represents the values of x and y that satisfy both equations in the system.

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 is zero.