Semester Final Review

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

How do you represent a word problem as a system of equations?

Back

Identify the variables, translate the relationships into equations, and ensure the equations reflect the conditions given in the problem.

Front

What does the range of a function represent?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

How do you find the perimeter of a shape?

Back

The perimeter is the total distance around the shape, calculated by adding the lengths of all sides.

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

How do you graph an inequality on a number line?

Back

Use an open circle for < or > and a closed circle for ≤ or ≥, then shade the appropriate side of the circle.

Front

What is the formula for the perimeter of a rectangle?

Back

The perimeter P of a rectangle is given by P = 2(length + width).

Front

How do you solve a system of equations using substitution?

Back

Solve one equation for one variable, then substitute that expression into the other equation to find the value of the second variable.

Front

What is the cost of one item if multiple items are purchased at the same price?

Back

Divide the total cost by the number of items to find the cost of one item.

Front

What is the significance of the coefficients in a system of equations?

Back

Coefficients represent the relationship between the variables in the equations; they indicate how much one variable changes in relation to another.