EOC Review- Systems of Equations/Inequalities (A.2H, A.2I)

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

Front

What does it mean to solve a system of equations graphically?

Back

Solving a system of equations graphically involves plotting the equations on a graph and identifying the point(s) where they intersect.

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 symbol '≤' represent?

Back

The symbol '≤' means 'less than or equal to'.

Front

How do you represent a real-world situation with an inequality?

Back

Identify the quantities involved, determine the relationship between them, and express it using an inequality.

Front

What is the standard form of a linear inequality in two variables?

Back

The standard form is Ax + By ≤ C, where A, B, and C are constants.

Front

How do you graph a linear inequality?

Back

Graph the corresponding linear equation as a boundary line, then shade the region that satisfies the inequality.

Front

What is the difference between 'and' and 'or' in systems of inequalities?

Back

'And' means both conditions must be true (intersection), while 'or' means at least one condition must be true (union).

Front

What is the perimeter of a rectangle?

Back

The perimeter of a rectangle is the total distance around it, calculated as P = 2L + 2W, where L is length and W is width.

Front

How do you find the length if the width is known in a rectangle?

Back

Use the perimeter formula P = 2L + 2W and solve for L.