1A-Review for 1st Semester Exam

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

How do you determine if a point is a solution to an inequality?

Back

To determine if a point is a solution to an inequality, substitute the point's coordinates into the inequality. If the inequality holds true, then the point is a solution.

Front

What is the order of operations in mathematics?

Back

The order of operations is a set of rules that dictates the sequence in which calculations are performed: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right) - often abbreviated as PEMDAS.

Front

Simplify the expression: -8 + (15 - 3) ÷ 4

Back

-5

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line. It has the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

How do you graph a system of inequalities?

Back

To graph a system of inequalities, graph each inequality on the same coordinate plane, shading the region that satisfies each inequality. The solution set is where the shaded regions overlap.

Front

What does it mean to model data with a linear function?

Back

Modeling data with a linear function means using a linear equation to represent the relationship between two variables, allowing predictions to be made based on the data.

Front

If five times Mason's age is increased by 9, what is the expression?

Back

5x + 9

Front

What is the significance of the slope in a linear function?

Back

The slope of a linear function indicates the rate of change of the dependent variable with respect to the independent variable. It shows how steep the line is and the direction it goes.

Front

What is a solution to a system of inequalities?

Back

A solution to a system of inequalities is any point (x, y) that satisfies all inequalities in the system.