2024 Alg 2 PB Semester 1 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 solve the inequality: 2x + 5 > 2x + 8?

Back

Subtract 2x from both sides: 5 > 8. This is a false statement, so there is no solution.

Front

What does it mean if a system of equations has a solution?

Back

It means that there is at least one set of values for the variables that satisfies all equations in the system.

Front

Determine if (4, 1) is a solution for the system of equations: y = -x + 5 and y = 2x - 7.

Back

Yes, (4, 1) satisfies both equations.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables.

Front

What does 'no solution' mean in the context of equations?

Back

It means that there are no values for the variables that can satisfy the equation.

Front

Solve the equation: 2 - 15m = 5(-3m + 2).

Back

This simplifies to no solution because both sides lead to a contradiction.

Front

What is the graphical representation of an inequality?

Back

An inequality can be represented on a graph using a shaded region to indicate all possible solutions.

Front

Back

Front

What does it mean if an equation has infinite solutions?

Back

It means that there are countless values for the variables that satisfy the equation.